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    <title>Temperament Ontology: Temperament Ontology</title>
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    <h1 id="title">The Temperament Ontology</h1>
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    <!--<h2 id="subtitle">LONG Temperament </h2>-->
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    <h3 id="mymw-doctype">Working Draft &mdash; 18 Dec 2009</h3>
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    <dl>
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      <dt>This version:</dt>
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      <dd><a href="http://purl.org/ontology/temperament/draft1-20091218/">http://purl.org/ontology/temperament/draft1-20091218/</a></dd>
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      <dt>Latest version:</dt>
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      <dd><a href="http://purl.org/ontology/temperament/">http://purl.org/ontology/temperament/</a></dd>
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      <dt>Last Update: 18. Dec. 2009.</dt>
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      <dd>Date: 18. Dec. 2009.</dd>
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      <dt>Editors:</dt>
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      <dd>Gyorgy Fazekas, Centre for Digital Music Queen Mary University of London</dd>
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      <dt>Authors:</dt>
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      <dd>Gyorgy Fazekas, Dan Tidhar, Centre for Digital Music Queen Mary University of London</dd>
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      <dt>Contributors:</dt>
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      <dd>See <a href="#acknowledgements">acknowledgements</a></dd>
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    </dl>
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    <p class="copyright">You are granted a license to use, reproduce and create derivative works of this document under <a rel="license" href="http://creativecommons.org/licenses/by/3.0/">Creative Commons</a>.</p>
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    <!-- ===================================================================== -->
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    <hr />
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    <h2 id="abstract">Abstract</h2>
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    <p>
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		The temperament ontology can be used to give a detailed description of the tuning of an instrument.
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		It is developed in the OMRAS2 project, and intended to be used in conjunction
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		with the <em><a href="http://purl.org/ontology/mo/">Music Ontology</a></em>, 
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		for example, when describing the tuning that was used in a particular harpsichord recording.
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    </p>
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    <h2 id="status">Status of this Document</h2>
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    <p>
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      <strong>This is a work in progress!</strong> This document is changing
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      on a daily if not hourly basis. Comments are very welcome, please send
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      them to <a href="mailto:gyorgy.fazekas@elec.qmul.ac.uk">gyorgy.fazekas@elec.qmul.ac.uk</a>. Thank you.
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    </p>
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    <h2 id="contents">Table of Contents</h2>
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    <ol id="toc">
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      <li><a href="#intro">Introduction</a>
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        <ol>
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          <li><a href="#s11">About instrument tuning</a></li>
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          <li><a href="#s12">An open-ended temperament description model</a></li>
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          <li>
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            <a href="#s13">The many ways of describing temperaments</a>
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            <ol>
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              <li><a href="#s131">The Circle of Fifths</a></li>
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              <li><a href="#s132">Deviation from Equal Temperament</a></li>
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            </ol>
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          </li>
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        </ol>
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      </li>
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      <li><a href="#sec-glance">Temperament  ontology at a glance</a></li>
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      <li>
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        <a href="#overview">Temperament  ontology overview</a>
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        <ol>
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          <li><a href="#s31">Example</a></li>
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        </ol>
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      </li>
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      <li><a href="#reference">Cross-reference for Temperament  classes and properties</a></li>
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    </ol>
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    <h3>Appendixes</h3>
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    <ol id="appendix">
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      <li><a href="#references">Normative References</a></li>
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      <li><a href="#changes">Changes in this version</a> (Non-Normative)</li>
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      <li><a href="#acknowledgements">Acknowledgements</a> (Non-Normative)</li>
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    </ol>
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    <hr />
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    <!-- ===================================================================== -->
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    <h2 id="intro">1 Introduction</h2>
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    <p>The temperament ontology aims to describe instrument tuning systems and their particularities.
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	It may also be used to characterise a (potentially unknown) temperament that was used when tuning an
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	instrument for a particular performance or recording. <br><br>
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	At this stage the ontology is far from exhaustive. We primarily deal with
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	temperaments in western tonal music with an emphasis on tuning keyboard instruments.
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	One important objective is to be able to describe arbitrary temperaments,
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	or express the results of automatic temperament extraction from audio recordings.
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	</p>
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    <h3 id="s11">1.1 About instrument tuning</h3>
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    <p>Tuning an instrument consists of choosing the frequency values and spacing (or ratio) of pitches that are used.
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	Pure (just) intervals of pitches correspond to whole number ratios of their frequencies, however
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	these ratios are not compatible with each other as they arranged in scales (the way octaves are divided into discrete pitch classes) in western music. 
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	For example, it is not possible to fit twelve pure fifths (3:2)^12 into seven octaves (2:1)^7. The difference
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	is called the Pythagorean or Ditonic comma (23.5 cents). This difference has to be
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	tempered out ---that is, some (or all) fifths has to be mistuned slightly in order to
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	fit them. There are many tuning systems. Most commonly, they differ in the way they compromise
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	pure intervals to solve this problem. </p>
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    <h3 id="s12">1.2 An open-ended temperament description model</h3>
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	<p>There is no mutual agreement in the literature on the description or classification
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	of temperaments. Therefore, in this ontology we do not impose a 
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	hierarchy between types of temperaments. We define an opaque
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	top-level temperament concept. Subclasses of this concept can be used
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	in describing individual temperaments, if necessary, using multiple class memberships.
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	Since there is more than one way to associate tuning systems with their properties, 
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	we treat temperament descriptions as concepts as well,
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	and use reification to keep the model open and extensible.</p>
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	<p><center><img src="TemperamentDescription.png" alt="Using the Circle of Fifths to describe a temperament." width="850">
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		<br><br>Figure 1. Overview of the temperament ontology.</center></p>
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    <h3 id="s13">1.3 The many ways of describing temperaments</h3>
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    <p>Temperaments can be characterised in lots of different ways. 
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	The most common methods are using either the circle of fifths or
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	give the pitch deviations from equal temperament. We define these
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	descriptions as concepts in the ontology, however, other descriptions
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	may be used and defined in the future. 
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	(For example, one might find it convenient to express the same information using the circle of fourths.)</p>
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    <h4 id="s131">1.3.1 The Circle of Fifths</h4>
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	The circle of fifths has several uses in music theory. 
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	It shows the harmonic relationships of the twelve major and minor keys.
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	It can also be seen as a circle of the corresponding pitch class intervals,
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	such as (C-G), (G-D), (D-A) etc... If we go around the circle using pure fifth 
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	intervals, it wouldn't close. What remains is the Pythagorean comma.
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	Hence, it is often used to describe temperaments by showing how 
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	the comma is distributed among the intervals to close the circle.
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	(Note that there are several types of commas related to different 
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	tuning problems. These are defined in the ontology.)
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	<!--<p><center><img src="CircleOfFifths.png" alt="Using the Circle of Fifths to describe a temperament." width="350"></center></p>-->
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    <p>...</p>
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    <h4 id="s132">1.3.2 Deviations from Equal Temperament</h4>
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    <p>In equal temperament an octave is divided into twelve equal intervals. 
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	As a result only octaves are pure. All other intervals are impure, and the 
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	deviation from pure is different in case of each interval. Since equal temperament
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	has become very common, other temperaments are often described by
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	the frequency deviations (in cents) of each pitch class from the 
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	corresponding pitch class in equal temperament.</p>
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    <!-- ===================================================================== -->
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    <h2 id="sec-glance">2. Temperament  ontology at a glance</h2>
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    <p>
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      An alphabetical index of Temperament  terms, by class (concepts) and by property 
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      (relationships, attributes), are given below. All the terms are hyperlinked 
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      to their detailed description for quick reference.
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    </p>
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    <!-- The list of classes and properties goes here -->
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    <div style="padding: 1em; border: dotted; background-color: #ddd;"><p>Classes:  <a href="#term_CircleOfFifths">CircleOfFifths</a>,  <a href="#term_Comma">Comma</a>,  <a href="#term_DeviationFromFifth">DeviationFromFifth</a>,  <a href="#term_DeviationsFromEqual">DeviationsFromEqual</a>,  <a href="#term_Interval">Interval</a>,  <a href="#term_IntervalDeviation">IntervalDeviation</a>,  <a href="#term_MeantoneTemperament">MeantoneTemperament</a>,  <a href="#term_PitchClass">PitchClass</a>,  <a href="#term_PitchClassDeviation">PitchClassDeviation</a>,  <a href="#term_PitchClassInterval">PitchClassInterval</a>,  <a href="#term_RegularTemperament">RegularTemperament</a>,  <a href="#term_RestrictedTemperament">RestrictedTemperament</a>,  <a href="#term_Temperament">Temperament</a>,  <a href="#term_TemperamentDescription">TemperamentDescription</a>,  <a href="#term_WellTemperament">WellTemperament</a>, 
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</p><p>Properties:  <a href="#term_comma">comma</a>,  <a href="#term_constraint">constraint</a>,  <a href="#term_description">description</a>,  <a href="#term_deviation">deviation</a>,  <a href="#term_frequency_ratio">frequency_ratio</a>,  <a href="#term_interval">interval</a>,  <a href="#term_lower">lower</a>,  <a href="#term_pitch_class">pitch_class</a>,  <a href="#term_pitch_class_deviation">pitch_class_deviation</a>,  <a href="#term_upper">upper</a>,  <a href="#term_value">value</a>, 
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</p><p>Instances:  <a href="#term_pitchclass_A">A</a>,  <a href="#term_pitchclass_Ab">Ab</a>,  <a href="#term_pitchclass_As">As</a>,  <a href="#term_pitchclass_B">B</a>,  <a href="#term_pitchclass_Bb">Bb</a>,  <a href="#term_Bendeler">Bendeler</a>,  <a href="#term_pitchclass_Bs">Bs</a>,  <a href="#term_pitchclass_C">C</a>,  <a href="#term_pitchclass_Cb">Cb</a>,  <a href="#term_pitchclass_Cs">Cs</a>,  <a href="#term_pitchclass_D">D</a>,  <a href="#term_pitchclass_Db">Db</a>,  <a href="#term_Diaschisma">Diaschisma</a>,  <a href="#term_DidymusComma">DidymusComma</a>,  <a href="#term_DitonicComma">DitonicComma</a>,  <a href="#term_pitchclass_Ds">Ds</a>,  <a href="#term_pitchclass_E">E</a>,  <a href="#term_pitchclass_Eb">Eb</a>,  <a href="#term_pitchclass_Es">Es</a>,  <a href="#term_pitchclass_F">F</a>,  <a href="#term_pitchclass_Fb">Fb</a>,  <a href="#term_FifthCommaMeantone">FifthCommaMeantone</a>,  <a href="#term_pitchclass_Fs">Fs</a>,  <a href="#term_pitchclass_G">G</a>,  <a href="#term_pitchclass_Gb">Gb</a>,  <a href="#term_pitchclass_Gs">Gs</a>,  <a href="#term_KirnbergerIII">KirnbergerIII</a>,  <a href="#term_Neidhardt">Neidhardt</a>,  <a href="#term_PythagoreanComma">PythagoreanComma</a>,  <a href="#term_QuarterCommaMeantone">QuarterCommaMeantone</a>,  <a href="#term_Schisma">Schisma</a>,  <a href="#term_SixthCommaMeantone">SixthCommaMeantone</a>,  <a href="#term_Stanhope">Stanhope</a>,  <a href="#term_SyntonicComma">SyntonicComma</a>,  <a href="#term_Valotti">Valotti</a>,  <a href="#term_WerckmeisterIII">WerckmeisterIII</a>,  <a href="#term_YoungII">YoungII</a>, 
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</p>
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</div>
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    <!-- End of the terms list -->
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    <p>...</p>
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    <!-- ===================================================================== -->
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    <h2 id="overview">3. Temperament  ontology overview</h2>
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    <!--<p>The Temperament definitions presented here are ...</p>-->
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    <h3 id="s31">3.1. Example</h3>
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    <p>Here is a very basic example describing a pitch class interval in the Valotti temperament using the circle of fifths.</p>
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    <div class="example" style="white-space: pre-wrap;">
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      <pre>
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		@prefix rdf: &lt;http://www.w3.org/1999/02/22-rdf-syntax-ns#&gt;.
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		@prefix rdfs: &lt;http://www.w3.org/2000/01/rdf-schema#&gt;.
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		@prefix xsd: &lt;http://www.w3.org/2001/XMLSchema#&gt; .
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		@prefix tm: &lt;http://purl.org/ontology/temperament/&gt; .
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		@prefix pc: &lt;http://purl.org/ontology/temperament/pitchclass/&gt; .
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		:ValottiTemperament a tm:WellTemperament;
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			tm:description :ValottiDescription1 .
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		:ValottiDescription1 a tm:CircleOfFifths;
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			tm:interval [
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				a tm:FifthInterval ;
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				tm:deviation [
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					a tm:IntervalDeviation ;
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					tm:comma tm:PythagoreanComma ; 
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					tm:value "-0.16667"^^xsd:float ;
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					rdfs:label "-1/6"
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					] ;
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				tm:lower pc:C ;
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				tm:upper pc:G ] ;
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			tm:interval [ # the rest of the intervals on the circle of fifths 
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				] .
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      </pre>
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    </div>
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    <p>A graphical representation of a similar description is shown in figure 2.
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	We explicitly name the pitch classes involved in each interval on the circle of fifths. 
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	The IntervalDeviation concept describes the amount of deviation from a pure interval
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	in terms of a specific type of comma and a corresponding value (a fraction of that comma).
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	We can safely assume that a fifth is pure, unless the deviation is given.</p>
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	<p><center><img src="CircleOfFifths.png" alt="Using the Circle of Fifths to describe a temperament." width="350">
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		<br><br>Figure 2. Describing temperaments using the circle of fifths.</center></p>
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    <!-- ===================================================================== -->
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    <h2 id="reference">4. Cross-reference for Temperament  classes and properties</h2>
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    <p>...</p>
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    <!-- The following is the script-generated list of classes and properties -->
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    <div class="specterm" id="term_CircleOfFifths">
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<h3>Class: tm:CircleOfFifths</h3>
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<p style="font-family:monospace; font-size:0.em;">URI: <a href="http://purl.org/ontology/temperament/CircleOfFifths">http://purl.org/ontology/temperament/CircleOfFifths</a></p><p><em>Circle Of Fifths</em> - We use the circle of fifth to describe a temperament.
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	Each alteration of a fifth can be expressed in a number of ways,
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	for example, we may express interval deviations in a particular
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	comma. </p>
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<dl><dt>sub-class-of:</dt><dd><a href="#term_TemperamentDescription" style="font-family: monospace;">tm:TemperamentDescription</a></dd></dl>
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<p style="float: right; font-size: small;">[<a href="#sec-glance">back to top</a>]</p>
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</div>
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<div class="specterm" id="term_Comma">
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<h3>Class: tm:Comma</h3>
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<p style="font-family:monospace; font-size:0.em;">URI: <a href="http://purl.org/ontology/temperament/Comma">http://purl.org/ontology/temperament/Comma</a></p><p><em>Comma</em> - A comma is a very small interval between 
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	two enharmonic notes tuned in different ways. (Source: Wikipedia)  </p>
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<dl><dt>in-range-of:</dt><dd><a href="#term_comma" style="font-family: monospace;">tm:comma</a></dd></dl>
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<p style="float: right; font-size: small;">[<a href="#sec-glance">back to top</a>]</p>
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</div>
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<div class="specterm" id="term_DeviationFromFifth">
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<h3>Class: tm:DeviationFromFifth</h3>
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<p style="font-family:monospace; font-size:0.em;">URI: <a href="http://purl.org/ontology/temperament/DeviationFromFifth">http://purl.org/ontology/temperament/DeviationFromFifth</a></p><p><em>Deviation from Fifth</em> - Represent the deviation from a pure fifth interval. </p>
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<dl><dt>sub-class-of:</dt><dd><a href="#term_IntervalDeviation" style="font-family: monospace;">tm:IntervalDeviation</a></dd></dl>
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<p style="float: right; font-size: small;">[<a href="#sec-glance">back to top</a>]</p>
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</div>
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<div class="specterm" id="term_DeviationsFromEqual">
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<h3>Class: tm:DeviationsFromEqual</h3>
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<p style="font-family:monospace; font-size:0.em;">URI: <a href="http://purl.org/ontology/temperament/DeviationsFromEqual">http://purl.org/ontology/temperament/DeviationsFromEqual</a></p><p><em>Deviations From Equal</em> - A type of temperament description which describes 
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	a tuning in terms of the deviation of each note (in cents) 
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	from the equal temperament. </p>
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<dl><dt>sub-class-of:</dt><dd><a href="#term_TemperamentDescription" style="font-family: monospace;">tm:TemperamentDescription</a></dd><dt>in-domain-of:</dt><dd><a href="#term_pitch_class_deviation" style="font-family: monospace;">tm:pitch_class_deviation</a></dd></dl>
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<p style="float: right; font-size: small;">[<a href="#sec-glance">back to top</a>]</p>
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</div>
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<div class="specterm" id="term_Interval">
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<h3>Class: tm:Interval</h3>
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<p style="font-family:monospace; font-size:0.em;">URI: <a href="http://purl.org/ontology/temperament/Interval">http://purl.org/ontology/temperament/Interval</a></p><p><em>Interval</em> - Describes the relationship between the 
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	pitches of two notes or pitch classes. </p>
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<dl><dt>in-domain-of:</dt><dd><a href="#term_deviation" style="font-family: monospace;">tm:deviation</a></dd><dd><a href="#term_lower" style="font-family: monospace;">tm:lower</a></dd><dd><a href="#term_upper" style="font-family: monospace;">tm:upper</a></dd><dt>in-range-of:</dt><dd><a href="#term_interval" style="font-family: monospace;">tm:interval</a></dd></dl>
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<p style="float: right; font-size: small;">[<a href="#sec-glance">back to top</a>]</p>
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</div>
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<div class="specterm" id="term_IntervalDeviation">
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<h3>Class: tm:IntervalDeviation</h3>
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<p style="font-family:monospace; font-size:0.em;">URI: <a href="http://purl.org/ontology/temperament/IntervalDeviation">http://purl.org/ontology/temperament/IntervalDeviation</a></p><p><em>Interval Deviation (from pure interval)</em> - Represents any type of alteration of a pure interval. </p>
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<dl><dt>in-domain-of:</dt><dd><a href="#term_comma" style="font-family: monospace;">tm:comma</a></dd><dd><a href="#term_value" style="font-family: monospace;">tm:value</a></dd><dt>in-range-of:</dt><dd><a href="#term_deviation" style="font-family: monospace;">tm:deviation</a></dd></dl>
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<p style="float: right; font-size: small;">[<a href="#sec-glance">back to top</a>]</p>
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</div>
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<div class="specterm" id="term_MeantoneTemperament">
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<h3>Class: tm:MeantoneTemperament</h3>
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<p style="font-family:monospace; font-size:0.em;">URI: <a href="http://purl.org/ontology/temperament/MeantoneTemperament">http://purl.org/ontology/temperament/MeantoneTemperament</a></p><p><em>Meantone Temperament</em> - In a meantone temperament, each fifth is narrowed 
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	by the same amount relative to its width in Just Intonation.  </p>
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<dl><dt>sub-class-of:</dt><dd><a href="#term_Temperament" style="font-family: monospace;">tm:Temperament</a></dd></dl>
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<p style="float: right; font-size: small;">[<a href="#sec-glance">back to top</a>]</p>
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</div>
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<div class="specterm" id="term_PitchClass">
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<h3>Class: tm:PitchClass</h3>
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<p style="font-family:monospace; font-size:0.em;">URI: <a href="http://purl.org/ontology/temperament/PitchClass">http://purl.org/ontology/temperament/PitchClass</a></p><p><em>Pitch Class</em> - The set of all pitches that are a 
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	whole number of octaves apart. </p>
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<dl><dt>in-range-of:</dt><dd><a href="#term_lower" style="font-family: monospace;">tm:lower</a></dd><dd><a href="#term_upper" style="font-family: monospace;">tm:upper</a></dd><dd><a href="#term_pitch_class" style="font-family: monospace;">tm:pitch_class</a></dd></dl>
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<p style="float: right; font-size: small;">[<a href="#sec-glance">back to top</a>]</p>
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</div>
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<div class="specterm" id="term_PitchClassDeviation">
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<h3>Class: tm:PitchClassDeviation</h3>
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<p style="font-family:monospace; font-size:0.em;">URI: <a href="http://purl.org/ontology/temperament/PitchClassDeviation">http://purl.org/ontology/temperament/PitchClassDeviation</a></p><p><em>Pitch Class Deviation</em> - Deviation in cents of a pitch class from its value in equal temperament. </p>
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<dl><dt>in-domain-of:</dt><dd><a href="#term_value" style="font-family: monospace;">tm:value</a></dd><dd><a href="#term_pitch_class" style="font-family: monospace;">tm:pitch_class</a></dd><dt>in-range-of:</dt><dd><a href="#term_pitch_class_deviation" style="font-family: monospace;">tm:pitch_class_deviation</a></dd></dl>
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<p style="float: right; font-size: small;">[<a href="#sec-glance">back to top</a>]</p>
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</div>
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<div class="specterm" id="term_PitchClassInterval">
347
<h3>Class: tm:PitchClassInterval</h3>
348
<p style="font-family:monospace; font-size:0.em;">URI: <a href="http://purl.org/ontology/temperament/PitchClassInterval">http://purl.org/ontology/temperament/PitchClassInterval</a></p><p><em>Pitch Class Interval</em> - Describes the relationship between two pitch classes. </p>
349
<dl><dt>sub-class-of:</dt><dd><a href="#term_Interval" style="font-family: monospace;">tm:Interval</a></dd></dl>
350
<p style="float: right; font-size: small;">[<a href="#sec-glance">back to top</a>]</p>
351

    
352

    
353

    
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</div>
355

    
356
<div class="specterm" id="term_RegularTemperament">
357
<h3>Class: tm:RegularTemperament</h3>
358
<p style="font-family:monospace; font-size:0.em;">URI: <a href="http://purl.org/ontology/temperament/RegularTemperament">http://purl.org/ontology/temperament/RegularTemperament</a></p><p><em>Regular Temperament</em> - Regular temperament is a class of temperaments 
359
	where each interval is altered by the same amount. </p>
360
<dl><dt>sub-class-of:</dt><dd><a href="#term_Temperament" style="font-family: monospace;">tm:Temperament</a></dd></dl>
361
<p style="float: right; font-size: small;">[<a href="#sec-glance">back to top</a>]</p>
362

    
363

    
364

    
365
</div>
366

    
367
<div class="specterm" id="term_RestrictedTemperament">
368
<h3>Class: tm:RestrictedTemperament</h3>
369
<p style="font-family:monospace; font-size:0.em;">URI: <a href="http://purl.org/ontology/temperament/RestrictedTemperament">http://purl.org/ontology/temperament/RestrictedTemperament</a></p><p><em>Restricted Temperament</em> - In restricted temperaments 
370
	playing some keys results in poor intonation.  </p>
371
<dl><dt>sub-class-of:</dt><dd><a href="#term_Temperament" style="font-family: monospace;">tm:Temperament</a></dd></dl>
372
<p style="float: right; font-size: small;">[<a href="#sec-glance">back to top</a>]</p>
373

    
374

    
375

    
376
</div>
377

    
378
<div class="specterm" id="term_Temperament">
379
<h3>Class: tm:Temperament</h3>
380
<p style="font-family:monospace; font-size:0.em;">URI: <a href="http://purl.org/ontology/temperament/Temperament">http://purl.org/ontology/temperament/Temperament</a></p><p><em>Temperament</em> - A temperament specifies a system of 
381
	instrument tuning.
382
	Tempering is a way of altering the size of intervals, 
383
	such that they no longer based on pure rational intervals. </p>
384
<dl><dt>in-domain-of:</dt><dd><a href="#term_description" style="font-family: monospace;">tm:description</a></dd></dl>
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<p style="float: right; font-size: small;">[<a href="#sec-glance">back to top</a>]</p>
386

    
387

    
388

    
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</div>
390

    
391
<div class="specterm" id="term_TemperamentDescription">
392
<h3>Class: tm:TemperamentDescription</h3>
393
<p style="font-family:monospace; font-size:0.em;">URI: <a href="http://purl.org/ontology/temperament/TemperamentDescription">http://purl.org/ontology/temperament/TemperamentDescription</a></p><p><em>Temperament Description</em> - 
394
	A super class of temperament descriptions using,
395
	for example, deviation from equal temperament, 
396
	or the circle of fifths. </p>
397
<dl><dt>in-domain-of:</dt><dd><a href="#term_constraint" style="font-family: monospace;">tm:constraint</a></dd><dd><a href="#term_interval" style="font-family: monospace;">tm:interval</a></dd><dt>in-range-of:</dt><dd><a href="#term_description" style="font-family: monospace;">tm:description</a></dd></dl>
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<p style="float: right; font-size: small;">[<a href="#sec-glance">back to top</a>]</p>
399

    
400

    
401

    
402
</div>
403

    
404
<div class="specterm" id="term_WellTemperament">
405
<h3>Class: tm:WellTemperament</h3>
406
<p style="font-family:monospace; font-size:0.em;">URI: <a href="http://purl.org/ontology/temperament/WellTemperament">http://purl.org/ontology/temperament/WellTemperament</a></p><p><em>Well Temperament</em> - Well temperament represents a system of tuning 
407
	where 5ths are tempered by irregular amounts, such that some 5ths 
408
	are tempered by an equal amount, while others remain pure. </p>
409
<dl><dt>sub-class-of:</dt><dd><a href="#term_Temperament" style="font-family: monospace;">tm:Temperament</a></dd></dl>
410
<p style="float: right; font-size: small;">[<a href="#sec-glance">back to top</a>]</p>
411

    
412

    
413

    
414
</div>
415

    
416
<div class="specterm" id="term_comma">
417
<h3>Property: tm:comma</h3>
418
<p style="font-family:monospace; font-size:0.em;">URI: <a href="http://purl.org/ontology/temperament/comma">http://purl.org/ontology/temperament/comma</a></p><p><em>comma</em> - Links an interval deviation with a type of comma.  </p>
419
<dl><dt>OWL Type:</dt><dd>ObjectProperty</dd>
420
<dt>Domain:</dt> <dd><a href="#term_IntervalDeviation" style="font-family: monospace;">tm:IntervalDeviation</a></dd><dt>Range:</dt> <dd><a href="#term_Comma" style="font-family: monospace;">tm:Comma</a></dd></dl>
421
<p style="float: right; font-size: small;">[<a href="#sec-glance">back to top</a>]</p>
422

    
423

    
424

    
425
</div>
426

    
427
<div class="specterm" id="term_constraint">
428
<h3>Property: tm:constraint</h3>
429
<p style="font-family:monospace; font-size:0.em;">URI: <a href="http://purl.org/ontology/temperament/constraint">http://purl.org/ontology/temperament/constraint</a></p><p><em>mathematical constraint</em> - A mathematical constrain on the temperament (This can be described in a named graph or and N3 graph literal). </p>
430
<dl><dt>OWL Type:</dt><dd>ObjectProperty</dd>
431
<dt>Domain:</dt> <dd><a href="#term_TemperamentDescription" style="font-family: monospace;">tm:TemperamentDescription</a></dd></dl>
432
<p style="float: right; font-size: small;">[<a href="#sec-glance">back to top</a>]</p>
433

    
434

    
435

    
436
</div>
437

    
438
<div class="specterm" id="term_description">
439
<h3>Property: tm:description</h3>
440
<p style="font-family:monospace; font-size:0.em;">URI: <a href="http://purl.org/ontology/temperament/description">http://purl.org/ontology/temperament/description</a></p><p><em>temperament description</em> -  Associates a temperament with its detailed description. </p>
441
<dl><dt>OWL Type:</dt><dd>ObjectProperty</dd>
442
<dt>Domain:</dt> <dd><a href="#term_Temperament" style="font-family: monospace;">tm:Temperament</a></dd><dt>Range:</dt> <dd><a href="#term_TemperamentDescription" style="font-family: monospace;">tm:TemperamentDescription</a></dd></dl>
443
<p style="float: right; font-size: small;">[<a href="#sec-glance">back to top</a>]</p>
444

    
445

    
446

    
447
</div>
448

    
449
<div class="specterm" id="term_deviation">
450
<h3>Property: tm:deviation</h3>
451
<p style="font-family:monospace; font-size:0.em;">URI: <a href="http://purl.org/ontology/temperament/deviation">http://purl.org/ontology/temperament/deviation</a></p><p><em>interval deviation</em> - Links an interval with a particular deviation
452
	from pure that characterises the interval. </p>
453
<dl><dt>OWL Type:</dt><dd>ObjectProperty</dd>
454
<dt>Domain:</dt> <dd><a href="#term_Interval" style="font-family: monospace;">tm:Interval</a></dd><dt>Range:</dt> <dd><a href="#term_IntervalDeviation" style="font-family: monospace;">tm:IntervalDeviation</a></dd></dl>
455
<p style="float: right; font-size: small;">[<a href="#sec-glance">back to top</a>]</p>
456

    
457

    
458

    
459
</div>
460

    
461
<div class="specterm" id="term_frequency_ratio">
462
<h3>Property: tm:frequency_ratio</h3>
463
<p style="font-family:monospace; font-size:0.em;">URI: <a href="http://purl.org/ontology/temperament/frequency_ratio">http://purl.org/ontology/temperament/frequency_ratio</a></p><p><em>frequency ratio</em> - The frequency ratio of the two pitch classes in the interval.
464
	This may be a single value or an expression (given for example in an N3 graph literal). </p>
465
<dl><dt>OWL Type:</dt><dd>ObjectProperty</dd>
466
<dt>Domain:</dt> <dd><a href="#term_intarval" style="font-family: monospace;">tm:intarval</a></dd></dl>
467
<p style="float: right; font-size: small;">[<a href="#sec-glance">back to top</a>]</p>
468

    
469

    
470

    
471
</div>
472

    
473
<div class="specterm" id="term_interval">
474
<h3>Property: tm:interval</h3>
475
<p style="font-family:monospace; font-size:0.em;">URI: <a href="http://purl.org/ontology/temperament/interval">http://purl.org/ontology/temperament/interval</a></p><p><em>interval</em> - Associates a specific interval on the circle of fifths.  </p>
476
<dl><dt>OWL Type:</dt><dd>ObjectProperty</dd>
477
<dt>Domain:</dt> <dd><a href="#term_TemperamentDescription" style="font-family: monospace;">tm:TemperamentDescription</a></dd><dt>Range:</dt> <dd><a href="#term_Interval" style="font-family: monospace;">tm:Interval</a></dd></dl>
478
<p style="float: right; font-size: small;">[<a href="#sec-glance">back to top</a>]</p>
479

    
480

    
481

    
482
</div>
483

    
484
<div class="specterm" id="term_lower">
485
<h3>Property: tm:lower</h3>
486
<p style="font-family:monospace; font-size:0.em;">URI: <a href="http://purl.org/ontology/temperament/lower">http://purl.org/ontology/temperament/lower</a></p><p><em>lower pitch class</em> - Links an interval a pitch calss which is lower on a scale. </p>
487
<dl><dt>OWL Type:</dt><dd>ObjectProperty</dd>
488
<dt>Domain:</dt> <dd><a href="#term_Interval" style="font-family: monospace;">tm:Interval</a></dd><dt>Range:</dt> <dd><a href="#term_PitchClass" style="font-family: monospace;">tm:PitchClass</a></dd></dl>
489
<p style="float: right; font-size: small;">[<a href="#sec-glance">back to top</a>]</p>
490

    
491

    
492

    
493
</div>
494

    
495
<div class="specterm" id="term_pitch_class">
496
<h3>Property: tm:pitch_class</h3>
497
<p style="font-family:monospace; font-size:0.em;">URI: <a href="http://purl.org/ontology/temperament/pitch_class">http://purl.org/ontology/temperament/pitch_class</a></p><p><em>pitch class</em> - The pitch class of a particular pitch class deviation. 
498
	This can be used to express deviations from equal temperament. </p>
499
<dl><dt>OWL Type:</dt><dd>ObjectProperty</dd>
500
<dt>Domain:</dt> <dd><a href="#term_PitchClassDeviation" style="font-family: monospace;">tm:PitchClassDeviation</a></dd><dt>Range:</dt> <dd><a href="#term_PitchClass" style="font-family: monospace;">tm:PitchClass</a></dd></dl>
501
<p style="float: right; font-size: small;">[<a href="#sec-glance">back to top</a>]</p>
502

    
503

    
504

    
505
</div>
506

    
507
<div class="specterm" id="term_pitch_class_deviation">
508
<h3>Property: tm:pitch_class_deviation</h3>
509
<p style="font-family:monospace; font-size:0.em;">URI: <a href="http://purl.org/ontology/temperament/pitch_class_deviation">http://purl.org/ontology/temperament/pitch_class_deviation</a></p><p><em>pitch class deviation</em> - The deviation of a particular pitch class in the described 
510
	temperament from its equivalent in equal temperament. </p>
511
<dl><dt>OWL Type:</dt><dd>ObjectProperty</dd>
512
<dt>Domain:</dt> <dd><a href="#term_DeviationsFromEqual" style="font-family: monospace;">tm:DeviationsFromEqual</a></dd><dt>Range:</dt> <dd><a href="#term_PitchClassDeviation" style="font-family: monospace;">tm:PitchClassDeviation</a></dd></dl>
513
<p style="float: right; font-size: small;">[<a href="#sec-glance">back to top</a>]</p>
514

    
515

    
516

    
517
</div>
518

    
519
<div class="specterm" id="term_upper">
520
<h3>Property: tm:upper</h3>
521
<p style="font-family:monospace; font-size:0.em;">URI: <a href="http://purl.org/ontology/temperament/upper">http://purl.org/ontology/temperament/upper</a></p><p><em>upper pitch class</em> - Links an interval with a pitch class which is higher on a scale compared to the other pitch class of this interval. </p>
522
<dl><dt>OWL Type:</dt><dd>ObjectProperty</dd>
523
<dt>Domain:</dt> <dd><a href="#term_Interval" style="font-family: monospace;">tm:Interval</a></dd><dt>Range:</dt> <dd><a href="#term_PitchClass" style="font-family: monospace;">tm:PitchClass</a></dd></dl>
524
<p style="float: right; font-size: small;">[<a href="#sec-glance">back to top</a>]</p>
525

    
526

    
527

    
528
</div>
529

    
530
<div class="specterm" id="term_value">
531
<h3>Property: tm:value</h3>
532
<p style="font-family:monospace; font-size:0.em;">URI: <a href="http://purl.org/ontology/temperament/value">http://purl.org/ontology/temperament/value</a></p><p><em>deviation value</em> - Links an interval deviation to its float value (in cents).  </p>
533
<dl><dt>OWL Type:</dt><dd>DatatypeProperty</dd>
534
<dt>Domain:</dt> <dd><a href="#term_IntervalDeviation" style="font-family: monospace;">tm:IntervalDeviation</a></dd><dd><a href="#term_PitchClassDeviation" style="font-family: monospace;">tm:PitchClassDeviation</a></dd><dt>Range:</dt> <dd><a href="http://www.w3.org/2001/XMLSchema#float" style="font-family: monospace;">xsd:float</a></dd></dl>
535
<p style="float: right; font-size: small;">[<a href="#sec-glance">back to top</a>]</p>
536

    
537

    
538

    
539
</div>
540

    
541
<div class="specterm" id="term_pitchclass_A">
542
<h3>Instance: A</h3>
543
<p style="font-family:monospace; font-size:0.em;">URI: <a href="http://purl.org/ontology/temperament/pitchclass/A">http://purl.org/ontology/temperament/pitchclass/A</a></p><p><em>A</em> - pitch class A </p>
544
<dl><dt>RDF Type:</dt><dd><a href="#term_PitchClass" style="font-family: monospace;">tm:PitchClass</a></dd></dl>
545
<p style="float: right; font-size: small;">[<a href="#sec-glance">back to top</a>]</p>
546

    
547

    
548

    
549
</div>
550

    
551
<div class="specterm" id="term_pitchclass_Ab">
552
<h3>Instance: Ab</h3>
553
<p style="font-family:monospace; font-size:0.em;">URI: <a href="http://purl.org/ontology/temperament/pitchclass/Ab">http://purl.org/ontology/temperament/pitchclass/Ab</a></p><p><em>Ab</em> - pitch class Ab </p>
554
<dl><dt>RDF Type:</dt><dd><a href="#term_PitchClass" style="font-family: monospace;">tm:PitchClass</a></dd></dl>
555
<p style="float: right; font-size: small;">[<a href="#sec-glance">back to top</a>]</p>
556

    
557

    
558

    
559
</div>
560

    
561
<div class="specterm" id="term_pitchclass_As">
562
<h3>Instance: As</h3>
563
<p style="font-family:monospace; font-size:0.em;">URI: <a href="http://purl.org/ontology/temperament/pitchclass/As">http://purl.org/ontology/temperament/pitchclass/As</a></p><p><em>As</em> - pitch class As </p>
564
<dl><dt>RDF Type:</dt><dd><a href="#term_PitchClass" style="font-family: monospace;">tm:PitchClass</a></dd></dl>
565
<p style="float: right; font-size: small;">[<a href="#sec-glance">back to top</a>]</p>
566

    
567

    
568

    
569
</div>
570

    
571
<div class="specterm" id="term_pitchclass_B">
572
<h3>Instance: B</h3>
573
<p style="font-family:monospace; font-size:0.em;">URI: <a href="http://purl.org/ontology/temperament/pitchclass/B">http://purl.org/ontology/temperament/pitchclass/B</a></p><p><em>B</em> - pitch class B </p>
574
<dl><dt>RDF Type:</dt><dd><a href="#term_PitchClass" style="font-family: monospace;">tm:PitchClass</a></dd></dl>
575
<p style="float: right; font-size: small;">[<a href="#sec-glance">back to top</a>]</p>
576

    
577

    
578

    
579
</div>
580

    
581
<div class="specterm" id="term_pitchclass_Bb">
582
<h3>Instance: Bb</h3>
583
<p style="font-family:monospace; font-size:0.em;">URI: <a href="http://purl.org/ontology/temperament/pitchclass/Bb">http://purl.org/ontology/temperament/pitchclass/Bb</a></p><p><em>Bb</em> - pitch class Bb </p>
584
<dl><dt>RDF Type:</dt><dd><a href="#term_PitchClass" style="font-family: monospace;">tm:PitchClass</a></dd></dl>
585
<p style="float: right; font-size: small;">[<a href="#sec-glance">back to top</a>]</p>
586

    
587

    
588

    
589
</div>
590

    
591
<div class="specterm" id="term_Bendeler">
592
<h3>Instance: Bendeler</h3>
593
<p style="font-family:monospace; font-size:0.em;">URI: <a href="http://purl.org/ontology/temperament/Bendeler">http://purl.org/ontology/temperament/Bendeler</a></p><p><em>Bendeler</em> -  </p>
594
<dl><dt>RDF Type:</dt><dd><a href="#term_WellTemperament" style="font-family: monospace;">tm:WellTemperament</a></dd></dl>
595
<p style="float: right; font-size: small;">[<a href="#sec-glance">back to top</a>]</p>
596

    
597

    
598

    
599
</div>
600

    
601
<div class="specterm" id="term_pitchclass_Bs">
602
<h3>Instance: Bs</h3>
603
<p style="font-family:monospace; font-size:0.em;">URI: <a href="http://purl.org/ontology/temperament/pitchclass/Bs">http://purl.org/ontology/temperament/pitchclass/Bs</a></p><p><em>Bs</em> - pitch class Bs </p>
604
<dl><dt>RDF Type:</dt><dd><a href="#term_PitchClass" style="font-family: monospace;">tm:PitchClass</a></dd></dl>
605
<p style="float: right; font-size: small;">[<a href="#sec-glance">back to top</a>]</p>
606

    
607

    
608

    
609
</div>
610

    
611
<div class="specterm" id="term_pitchclass_C">
612
<h3>Instance: C</h3>
613
<p style="font-family:monospace; font-size:0.em;">URI: <a href="http://purl.org/ontology/temperament/pitchclass/C">http://purl.org/ontology/temperament/pitchclass/C</a></p><p><em>C</em> - pitch class C </p>
614
<dl><dt>RDF Type:</dt><dd><a href="#term_PitchClass" style="font-family: monospace;">tm:PitchClass</a></dd></dl>
615
<p style="float: right; font-size: small;">[<a href="#sec-glance">back to top</a>]</p>
616

    
617

    
618

    
619
</div>
620

    
621
<div class="specterm" id="term_pitchclass_Cb">
622
<h3>Instance: Cb</h3>
623
<p style="font-family:monospace; font-size:0.em;">URI: <a href="http://purl.org/ontology/temperament/pitchclass/Cb">http://purl.org/ontology/temperament/pitchclass/Cb</a></p><p><em>Cb</em> - pitch class Cb </p>
624
<dl><dt>RDF Type:</dt><dd><a href="#term_PitchClass" style="font-family: monospace;">tm:PitchClass</a></dd></dl>
625
<p style="float: right; font-size: small;">[<a href="#sec-glance">back to top</a>]</p>
626

    
627

    
628

    
629
</div>
630

    
631
<div class="specterm" id="term_pitchclass_Cs">
632
<h3>Instance: Cs</h3>
633
<p style="font-family:monospace; font-size:0.em;">URI: <a href="http://purl.org/ontology/temperament/pitchclass/Cs">http://purl.org/ontology/temperament/pitchclass/Cs</a></p><p><em>Cs</em> - pitch class Cs </p>
634
<dl><dt>RDF Type:</dt><dd><a href="#term_PitchClass" style="font-family: monospace;">tm:PitchClass</a></dd></dl>
635
<p style="float: right; font-size: small;">[<a href="#sec-glance">back to top</a>]</p>
636

    
637

    
638

    
639
</div>
640

    
641
<div class="specterm" id="term_pitchclass_D">
642
<h3>Instance: D</h3>
643
<p style="font-family:monospace; font-size:0.em;">URI: <a href="http://purl.org/ontology/temperament/pitchclass/D">http://purl.org/ontology/temperament/pitchclass/D</a></p><p><em>D</em> - pitch class D </p>
644
<dl><dt>RDF Type:</dt><dd><a href="#term_PitchClass" style="font-family: monospace;">tm:PitchClass</a></dd></dl>
645
<p style="float: right; font-size: small;">[<a href="#sec-glance">back to top</a>]</p>
646

    
647

    
648

    
649
</div>
650

    
651
<div class="specterm" id="term_pitchclass_Db">
652
<h3>Instance: Db</h3>
653
<p style="font-family:monospace; font-size:0.em;">URI: <a href="http://purl.org/ontology/temperament/pitchclass/Db">http://purl.org/ontology/temperament/pitchclass/Db</a></p><p><em>Db</em> - pitch class Db </p>
654
<dl><dt>RDF Type:</dt><dd><a href="#term_PitchClass" style="font-family: monospace;">tm:PitchClass</a></dd></dl>
655
<p style="float: right; font-size: small;">[<a href="#sec-glance">back to top</a>]</p>
656

    
657

    
658

    
659
</div>
660

    
661
<div class="specterm" id="term_Diaschisma">
662
<h3>Instance: Diaschisma</h3>
663
<p style="font-family:monospace; font-size:0.em;">URI: <a href="http://purl.org/ontology/temperament/Diaschisma">http://purl.org/ontology/temperament/Diaschisma</a></p><p><em>Diaschisma</em> - One Diaschisma is 19.55 cents.  </p>
664
<dl><dt>RDF Type:</dt><dd><a href="#term_Comma" style="font-family: monospace;">tm:Comma</a></dd></dl>
665
<p style="float: right; font-size: small;">[<a href="#sec-glance">back to top</a>]</p>
666

    
667

    
668

    
669
</div>
670

    
671
<div class="specterm" id="term_DidymusComma">
672
<h3>Instance: DidymusComma</h3>
673
<p style="font-family:monospace; font-size:0.em;">URI: <a href="http://purl.org/ontology/temperament/DidymusComma">http://purl.org/ontology/temperament/DidymusComma</a></p><p><em>Didymus Comma</em> - The Didymus is equivalent to the Syntonic comma (21.51 cents). </p>
674
<dl><dt>RDF Type:</dt><dd><a href="#term_Comma" style="font-family: monospace;">tm:Comma</a></dd></dl>
675
<p style="float: right; font-size: small;">[<a href="#sec-glance">back to top</a>]</p>
676

    
677

    
678

    
679
</div>
680

    
681
<div class="specterm" id="term_DitonicComma">
682
<h3>Instance: DitonicComma</h3>
683
<p style="font-family:monospace; font-size:0.em;">URI: <a href="http://purl.org/ontology/temperament/DitonicComma">http://purl.org/ontology/temperament/DitonicComma</a></p><p><em>Ditonic Comma</em> - The Ditonic comma is equivalent to the Pythagorean comma. </p>
684
<dl><dt>RDF Type:</dt><dd><a href="#term_Comma" style="font-family: monospace;">tm:Comma</a></dd></dl>
685
<p style="float: right; font-size: small;">[<a href="#sec-glance">back to top</a>]</p>
686

    
687

    
688

    
689
</div>
690

    
691
<div class="specterm" id="term_pitchclass_Ds">
692
<h3>Instance: Ds</h3>
693
<p style="font-family:monospace; font-size:0.em;">URI: <a href="http://purl.org/ontology/temperament/pitchclass/Ds">http://purl.org/ontology/temperament/pitchclass/Ds</a></p><p><em>Ds</em> - pitch class Ds </p>
694
<dl><dt>RDF Type:</dt><dd><a href="#term_PitchClass" style="font-family: monospace;">tm:PitchClass</a></dd></dl>
695
<p style="float: right; font-size: small;">[<a href="#sec-glance">back to top</a>]</p>
696

    
697

    
698

    
699
</div>
700

    
701
<div class="specterm" id="term_pitchclass_E">
702
<h3>Instance: E</h3>
703
<p style="font-family:monospace; font-size:0.em;">URI: <a href="http://purl.org/ontology/temperament/pitchclass/E">http://purl.org/ontology/temperament/pitchclass/E</a></p><p><em>E</em> - pitch class E </p>
704
<dl><dt>RDF Type:</dt><dd><a href="#term_PitchClass" style="font-family: monospace;">tm:PitchClass</a></dd></dl>
705
<p style="float: right; font-size: small;">[<a href="#sec-glance">back to top</a>]</p>
706

    
707

    
708

    
709
</div>
710

    
711
<div class="specterm" id="term_pitchclass_Eb">
712
<h3>Instance: Eb</h3>
713
<p style="font-family:monospace; font-size:0.em;">URI: <a href="http://purl.org/ontology/temperament/pitchclass/Eb">http://purl.org/ontology/temperament/pitchclass/Eb</a></p><p><em>Eb</em> - pitch class Eb </p>
714
<dl><dt>RDF Type:</dt><dd><a href="#term_PitchClass" style="font-family: monospace;">tm:PitchClass</a></dd></dl>
715
<p style="float: right; font-size: small;">[<a href="#sec-glance">back to top</a>]</p>
716

    
717

    
718

    
719
</div>
720

    
721
<div class="specterm" id="term_pitchclass_Es">
722
<h3>Instance: Es</h3>
723
<p style="font-family:monospace; font-size:0.em;">URI: <a href="http://purl.org/ontology/temperament/pitchclass/Es">http://purl.org/ontology/temperament/pitchclass/Es</a></p><p><em>Es</em> - pitch class Es </p>
724
<dl><dt>RDF Type:</dt><dd><a href="#term_PitchClass" style="font-family: monospace;">tm:PitchClass</a></dd></dl>
725
<p style="float: right; font-size: small;">[<a href="#sec-glance">back to top</a>]</p>
726

    
727

    
728

    
729
</div>
730

    
731
<div class="specterm" id="term_pitchclass_F">
732
<h3>Instance: F</h3>
733
<p style="font-family:monospace; font-size:0.em;">URI: <a href="http://purl.org/ontology/temperament/pitchclass/F">http://purl.org/ontology/temperament/pitchclass/F</a></p><p><em>F</em> - pitch class F </p>
734
<dl><dt>RDF Type:</dt><dd><a href="#term_PitchClass" style="font-family: monospace;">tm:PitchClass</a></dd></dl>
735
<p style="float: right; font-size: small;">[<a href="#sec-glance">back to top</a>]</p>
736

    
737

    
738

    
739
</div>
740

    
741
<div class="specterm" id="term_pitchclass_Fb">
742
<h3>Instance: Fb</h3>
743
<p style="font-family:monospace; font-size:0.em;">URI: <a href="http://purl.org/ontology/temperament/pitchclass/Fb">http://purl.org/ontology/temperament/pitchclass/Fb</a></p><p><em>Fb</em> - pitch class Fb </p>
744
<dl><dt>RDF Type:</dt><dd><a href="#term_PitchClass" style="font-family: monospace;">tm:PitchClass</a></dd></dl>
745
<p style="float: right; font-size: small;">[<a href="#sec-glance">back to top</a>]</p>
746

    
747

    
748

    
749
</div>
750

    
751
<div class="specterm" id="term_FifthCommaMeantone">
752
<h3>Instance: FifthCommaMeantone</h3>
753
<p style="font-family:monospace; font-size:0.em;">URI: <a href="http://purl.org/ontology/temperament/FifthCommaMeantone">http://purl.org/ontology/temperament/FifthCommaMeantone</a></p><p><em>FifthCommaMeantone</em> -  </p>
754
<dl><dt>RDF Type:</dt><dd><a href="#term_MeantoneTemperament" style="font-family: monospace;">tm:MeantoneTemperament</a></dd><dd><a href="#term_RegularTemperament" style="font-family: monospace;">tm:RegularTemperament</a></dd></dl>
755
<p style="float: right; font-size: small;">[<a href="#sec-glance">back to top</a>]</p>
756

    
757

    
758

    
759
</div>
760

    
761
<div class="specterm" id="term_pitchclass_Fs">
762
<h3>Instance: Fs</h3>
763
<p style="font-family:monospace; font-size:0.em;">URI: <a href="http://purl.org/ontology/temperament/pitchclass/Fs">http://purl.org/ontology/temperament/pitchclass/Fs</a></p><p><em>Fs</em> - pitch class Fs </p>
764
<dl><dt>RDF Type:</dt><dd><a href="#term_PitchClass" style="font-family: monospace;">tm:PitchClass</a></dd></dl>
765
<p style="float: right; font-size: small;">[<a href="#sec-glance">back to top</a>]</p>
766

    
767

    
768

    
769
</div>
770

    
771
<div class="specterm" id="term_pitchclass_G">
772
<h3>Instance: G</h3>
773
<p style="font-family:monospace; font-size:0.em;">URI: <a href="http://purl.org/ontology/temperament/pitchclass/G">http://purl.org/ontology/temperament/pitchclass/G</a></p><p><em>G</em> - pitch class G </p>
774
<dl><dt>RDF Type:</dt><dd><a href="#term_PitchClass" style="font-family: monospace;">tm:PitchClass</a></dd></dl>
775
<p style="float: right; font-size: small;">[<a href="#sec-glance">back to top</a>]</p>
776

    
777

    
778

    
779
</div>
780

    
781
<div class="specterm" id="term_pitchclass_Gb">
782
<h3>Instance: Gb</h3>
783
<p style="font-family:monospace; font-size:0.em;">URI: <a href="http://purl.org/ontology/temperament/pitchclass/Gb">http://purl.org/ontology/temperament/pitchclass/Gb</a></p><p><em>Gb</em> - pitch class Gb </p>
784
<dl><dt>RDF Type:</dt><dd><a href="#term_PitchClass" style="font-family: monospace;">tm:PitchClass</a></dd></dl>
785
<p style="float: right; font-size: small;">[<a href="#sec-glance">back to top</a>]</p>
786

    
787

    
788

    
789
</div>
790

    
791
<div class="specterm" id="term_pitchclass_Gs">
792
<h3>Instance: Gs</h3>
793
<p style="font-family:monospace; font-size:0.em;">URI: <a href="http://purl.org/ontology/temperament/pitchclass/Gs">http://purl.org/ontology/temperament/pitchclass/Gs</a></p><p><em>Gs</em> - pitch class Gs </p>
794
<dl><dt>RDF Type:</dt><dd><a href="#term_PitchClass" style="font-family: monospace;">tm:PitchClass</a></dd></dl>
795
<p style="float: right; font-size: small;">[<a href="#sec-glance">back to top</a>]</p>
796

    
797

    
798

    
799
</div>
800

    
801
<div class="specterm" id="term_KirnbergerIII">
802
<h3>Instance: KirnbergerIII</h3>
803
<p style="font-family:monospace; font-size:0.em;">URI: <a href="http://purl.org/ontology/temperament/KirnbergerIII">http://purl.org/ontology/temperament/KirnbergerIII</a></p><p><em>KirnbergerIII</em> -  </p>
804
<dl><dt>RDF Type:</dt><dd><a href="#term_WellTemperament" style="font-family: monospace;">tm:WellTemperament</a></dd></dl>
805
<p style="float: right; font-size: small;">[<a href="#sec-glance">back to top</a>]</p>
806

    
807

    
808

    
809
</div>
810

    
811
<div class="specterm" id="term_Neidhardt">
812
<h3>Instance: Neidhardt</h3>
813
<p style="font-family:monospace; font-size:0.em;">URI: <a href="http://purl.org/ontology/temperament/Neidhardt">http://purl.org/ontology/temperament/Neidhardt</a></p><p><em>Neidhardt</em> -  </p>
814
<dl><dt>RDF Type:</dt><dd><a href="#term_WellTemperament" style="font-family: monospace;">tm:WellTemperament</a></dd></dl>
815
<p style="float: right; font-size: small;">[<a href="#sec-glance">back to top</a>]</p>
816

    
817

    
818

    
819
</div>
820

    
821
<div class="specterm" id="term_PythagoreanComma">
822
<h3>Instance: PythagoreanComma</h3>
823
<p style="font-family:monospace; font-size:0.em;">URI: <a href="http://purl.org/ontology/temperament/PythagoreanComma">http://purl.org/ontology/temperament/PythagoreanComma</a></p><p><em>Pythagorean Comma</em> - One Pythagorean Comma, the difference between
824
	7 octaves and 12 pure fifths, is 23.5 cents. It is equivalent to the Ditonic comma. </p>
825
<dl><dt>RDF Type:</dt><dd><a href="#term_Comma" style="font-family: monospace;">tm:Comma</a></dd></dl>
826
<p style="float: right; font-size: small;">[<a href="#sec-glance">back to top</a>]</p>
827

    
828

    
829

    
830
</div>
831

    
832
<div class="specterm" id="term_QuarterCommaMeantone">
833
<h3>Instance: QuarterCommaMeantone</h3>
834
<p style="font-family:monospace; font-size:0.em;">URI: <a href="http://purl.org/ontology/temperament/QuarterCommaMeantone">http://purl.org/ontology/temperament/QuarterCommaMeantone</a></p><p><em>QuarterCommaMeantone</em> -  </p>
835
<dl><dt>RDF Type:</dt><dd><a href="#term_MeantoneTemperament" style="font-family: monospace;">tm:MeantoneTemperament</a></dd><dd><a href="#term_RegularTemperament" style="font-family: monospace;">tm:RegularTemperament</a></dd></dl>
836
<p style="float: right; font-size: small;">[<a href="#sec-glance">back to top</a>]</p>
837

    
838

    
839

    
840
</div>
841

    
842
<div class="specterm" id="term_Schisma">
843
<h3>Instance: Schisma</h3>
844
<p style="font-family:monospace; font-size:0.em;">URI: <a href="http://purl.org/ontology/temperament/Schisma">http://purl.org/ontology/temperament/Schisma</a></p><p><em>Schisma</em> - One Schisma is 1.95 cents.  </p>
845
<dl><dt>RDF Type:</dt><dd><a href="#term_Comma" style="font-family: monospace;">tm:Comma</a></dd></dl>
846
<p style="float: right; font-size: small;">[<a href="#sec-glance">back to top</a>]</p>
847

    
848

    
849

    
850
</div>
851

    
852
<div class="specterm" id="term_SixthCommaMeantone">
853
<h3>Instance: SixthCommaMeantone</h3>
854
<p style="font-family:monospace; font-size:0.em;">URI: <a href="http://purl.org/ontology/temperament/SixthCommaMeantone">http://purl.org/ontology/temperament/SixthCommaMeantone</a></p><p><em>SixthCommaMeantone</em> -  </p>
855
<dl><dt>RDF Type:</dt><dd><a href="#term_MeantoneTemperament" style="font-family: monospace;">tm:MeantoneTemperament</a></dd><dd><a href="#term_RegularTemperament" style="font-family: monospace;">tm:RegularTemperament</a></dd></dl>
856
<p style="float: right; font-size: small;">[<a href="#sec-glance">back to top</a>]</p>
857

    
858

    
859

    
860
</div>
861

    
862
<div class="specterm" id="term_Stanhope">
863
<h3>Instance: Stanhope</h3>
864
<p style="font-family:monospace; font-size:0.em;">URI: <a href="http://purl.org/ontology/temperament/Stanhope">http://purl.org/ontology/temperament/Stanhope</a></p><p><em>Stanhope</em> -  </p>
865
<dl><dt>RDF Type:</dt><dd><a href="#term_WellTemperament" style="font-family: monospace;">tm:WellTemperament</a></dd></dl>
866
<p style="float: right; font-size: small;">[<a href="#sec-glance">back to top</a>]</p>
867

    
868

    
869

    
870
</div>
871

    
872
<div class="specterm" id="term_SyntonicComma">
873
<h3>Instance: SyntonicComma</h3>
874
<p style="font-family:monospace; font-size:0.em;">URI: <a href="http://purl.org/ontology/temperament/SyntonicComma">http://purl.org/ontology/temperament/SyntonicComma</a></p><p><em>Syntonic Comma</em> - One Syntonic Comma is 21.51 cents.  </p>
875
<dl><dt>RDF Type:</dt><dd><a href="#term_Comma" style="font-family: monospace;">tm:Comma</a></dd></dl>
876
<p style="float: right; font-size: small;">[<a href="#sec-glance">back to top</a>]</p>
877

    
878

    
879

    
880
</div>
881

    
882
<div class="specterm" id="term_Valotti">
883
<h3>Instance: Valotti</h3>
884
<p style="font-family:monospace; font-size:0.em;">URI: <a href="http://purl.org/ontology/temperament/Valotti">http://purl.org/ontology/temperament/Valotti</a></p><p><em>Valotti</em> -  </p>
885
<dl><dt>RDF Type:</dt><dd><a href="#term_WellTemperament" style="font-family: monospace;">tm:WellTemperament</a></dd></dl>
886
<p style="float: right; font-size: small;">[<a href="#sec-glance">back to top</a>]</p>
887

    
888

    
889

    
890
</div>
891

    
892
<div class="specterm" id="term_WerckmeisterIII">
893
<h3>Instance: WerckmeisterIII</h3>
894
<p style="font-family:monospace; font-size:0.em;">URI: <a href="http://purl.org/ontology/temperament/WerckmeisterIII">http://purl.org/ontology/temperament/WerckmeisterIII</a></p><p><em>WerckmeisterIII</em> -  </p>
895
<dl><dt>RDF Type:</dt><dd><a href="#term_WellTemperament" style="font-family: monospace;">tm:WellTemperament</a></dd></dl>
896
<p style="float: right; font-size: small;">[<a href="#sec-glance">back to top</a>]</p>
897

    
898

    
899

    
900
</div>
901

    
902
<div class="specterm" id="term_YoungII">
903
<h3>Instance: YoungII</h3>
904
<p style="font-family:monospace; font-size:0.em;">URI: <a href="http://purl.org/ontology/temperament/YoungII">http://purl.org/ontology/temperament/YoungII</a></p><p><em>YoungII</em> -  </p>
905
<dl><dt>RDF Type:</dt><dd><a href="#term_WellTemperament" style="font-family: monospace;">tm:WellTemperament</a></dd></dl>
906
<p style="float: right; font-size: small;">[<a href="#sec-glance">back to top</a>]</p>
907

    
908

    
909

    
910
</div>
911

    
912

    
913
    <!-- End of the terms list -->
914

    
915
    <p>...</p>
916

    
917
    <!-- ===================================================================== -->
918

    
919
    <h2 id="references">A References</h2>
920

    
921
    <dl>
922
      <dt class="label" id="ref-some">Music Ontology</dt>
923
      <dd><em>The <a href="http://purl.org/ontology/mo/">Music Ontology</a></em> is a thorough and mature ontology for describing
924
		music-related data, including musicological information. This ontology is intended to be
925
		used in conjunction with the Music Ontology.</dd>
926
    </dl>
927

    
928
    <!--
929
    <h3 id="references-other">A.2 Other references</h3>
930

    
931
    <dl>
932
      <dt class="label" id="ref-rfc2119">IETF RFC 2119</dt>
933
      <dd>
934
        <em><a href="http://www.ietf.org/rfc/rfc2119.txt">RFC 2119: Key words
935
        for use in RFCs to Indicate Requirement Levels</a></em>. Internet
936
        Engineering Task Force, 1997 (see http://www.ietf.org/rfc/rfc2119.txt).
937
      </dd>
938
    </dl>
939
	-->
940

    
941
    <!-- ===================================================================== -->
942

    
943
    <h2 id="changes">B Changes in this version (Non-Normative)</h2>
944

    
945
    <ul>
946
      <li><p>first published draft 18-12-2009</p></li> 
947
    </ul>
948

    
949
    <h2><a id="acknowledgements"></a>C Acknowledgements (Non-Normative)</h2>
950

    
951
    <p>Some modelling concepts in this ontology were borrowed form the
952
	<a href="http://purl.org/ontology/chord/">Chord Ontology</a></em>
953
	and the 
954
	<a href="http://purl.org/ontology/similarity/">Music Similarity Ontology</a></em>.
955
	</p>
956

    
957
  </body>
958

    
959
</html>
960

    
961
<!-- specification regenerated by SpecGen5 at 19:25:08 12/20/09 GMT -->