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@base <http://purl.org/ontology/temperament/> .

@prefix rdf: <http://www.w3.org/1999/02/22-rdf-syntax-ns#> .

@prefix rdfs: <http://www.w3.org/2000/01/rdf-schema#> .

@prefix owl: <http://www.w3.org/2002/07/owl#> .

@prefix vs: <http://www.w3.org/2003/06/sw-vocab-status/ns#> .

@prefix foaf: <http://xmlns.com/foaf/0.1/> .

@prefix dc: <http://purl.org/dc/elements/1.1/> .

@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

@prefix tm: <http://purl.org/ontology/temperament/> .

@prefix : <http://purl.org/ontology/temperament/> .

@prefix pc: <http://purl.org/ontology/temperament/pitchclass/> .

@prefix tm: <> .

<http://purl.org/ontology/temperament/>

    a owl:Ontology;

    dc:title "The OMRAS2 Temperament Ontology";

    owl:versionInfo "Draft Revision: 1.0";

    dc:description """

	This ontology can be used to give a detailed description 

	of the tuning of an instrument.

	""";

	dc:date "$Date: 2009/11/18 13:54:19 $" .

# Status of terms

vs:term_status a owl:AnnotationProperty.

###############################################

# Part 1: Core terms defined in this ontology #

###############################################

tm:Temperament a owl:Class;

	a rdfs:Class;

	rdfs:label "Temperament";

	rdfs:comment """A temperament specifies a system of 

	instrument tuning.

	Tempering is a way of altering the size of intervals, 

	such that they no longer based on pure rational intervals.""";

	vs:term_status "stable" .

tm:RegularTemperament a owl:Class;

	a rdfs:Class;

	rdfs:subClassOf tm:Temperament;

	rdfs:label "Regular Temperament";

	rdfs:comment """Regular temperament is a class of temperaments 

	where each interval is altered by the same amount.""";

	vs:term_status "unstable" .

tm:WellTemperament a owl:Class;

	a rdfs:Class;

	rdfs:subClassOf tm:Temperament;

	rdfs:label "Well Temperament";

	rdfs:comment """Well temperament represents a system of tuning 

	where 5ths are tempered by irregular amounts, such that some 5ths 

	are tempered by an equal amount, while others remain pure.""";

	vs:term_status "unstable" .

tm:MeantoneTemperament a owl:Class;

	a rdfs:Class;

	rdfs:subClassOf tm:Temperament;

	rdfs:label "Meantone Temperament";

	rdfs:comment """In a meantone temperament, each fifth is narrowed 

	by the same amount relative to its width in Just Intonation. """;

	vs:term_status "unstable" .

tm:RestrictedTemperament a owl:Class;

	a rdfs:Class;

	rdfs:subClassOf tm:Temperament;

	rdfs:label "Restricted Temperament";

	rdfs:comment """In restricted temperaments 

	playing some keys results in poor intonation. """;

	vs:term_status "unstable" .

tm:TemperamentDescription a owl:Class;

	a rdfs:Class;

	rdfs:label "Temperament Description";

	rdfs:comment """

	A super class of temperament descriptions using,

	for example, deviation from equal temperament, 

	or the circle of fifths.""";

	vs:term_status "unstable" .

#properties 

tm:description

    a rdf:Property, owl:ObjectProperty;

    rdfs:label "temperament description";

    rdfs:comment """ Associates a temperament with its detailed description.""";

    rdfs:domain tm:Temperament;

    rdfs:range tm:TemperamentDescription;

    vs:term_status "unstable" .

tm:constraint

    a rdf:Property, owl:ObjectProperty;

    rdfs:label "mathematical constraint";

    rdfs:comment """A mathematical constrain on the temperament (This can be described in a named graph or and N3 graph literal).""";

    rdfs:domain tm:TemperamentDescription;

    vs:term_status "unstable" .

###############################################

# Part 2: Auxiliary parts required for temperament descriptions 	  #

###############################################

tm:Comma a owl:Class;

	a rdfs:Class;

	rdfs:label "Comma";

	rdfs:comment """A comma is a very small interval between 

	two enharmonic notes tuned in different ways. (Source: Wikipedia) """;

	vs:term_status "stable" .

tm:PitchClass a owl:Class;

	a rdfs:Class;

	rdfs:label "Pitch Class";

	rdfs:comment """The set of all pitches that are a 

	whole number of octaves apart.""";

	vs:term_status "stable" .

tm:Interval a owl:Class;

	a rdfs:Class;

	rdfs:label "Interval";

	rdfs:comment """Describes the relationship between the 

	pitches of two notes or pitch classes.""";

	vs:term_status "stable" .

tm:PitchClassInterval a owl:Class;

	a rdfs:Class;

	rdfs:subClassOf tm:Interval;

	rdfs:label "Pitch Class Interval";

	rdfs:comment """Describes the relationship between two pitch classes.""";

	vs:term_status "unstable" .

tm:FifthInterval a rdf:Class ;

	rdfs:subClassOf tm:PitchClassInterval ;

	rdfs:label "Fifth Interval";

	rdfs:comment """A fifth interval between notes, either 

	pure or altered. In the case of a pure fifth it is a 

	frequecy ratio of 3:2. We may use it to represent a 

	specific interval on the circle of fifths, with a specific

	deviation from a pure fifth. """;

	vs:term_status "unstable" .

tm:WolfInterval a rdf:Class ;

	rdfs:subClassOf tm:Interval ;

	rdfs:label "Wolf Interval";

	rdfs:comment """An interval which is regarded as howling may be 

	called a wolf interval. It is typically a wolf fifth in 

	meantone temperament. """;

	vs:term_status "unstable" .

###############################################

# Part 3: Detailed temperament description	  #

###############################################

#description classes

tm:DeviationsFromEqual a owl:Class;

	a rdfs:Class;

	rdfs:subClassOf tm:TemperamentDescription;

	rdfs:label "Deviations From Equal";

	rdfs:comment """A type of temperament description which describes 

	a tuning in terms of the deviation of each note (in cents) 

	from the equal temperament.""";

	vs:term_status "unstable" .

tm:CircleOfFifths a owl:Class;

	a rdfs:Class;

	rdfs:subClassOf tm:TemperamentDescription;

	rdfs:label "Circle Of Fifths";

	rdfs:comment """We use the circle of fifth to describe a temperament.

	Each alteration of a fifth can be expressed in a number of ways,

	for example, we may express interval deviations in a particular

	comma.""";

	vs:term_status "unstable" .

tm:IntervalDeviation a owl:Class;

	a rdfs:Class;

	rdfs:label "Interval Deviation (from pure interval)";

	rdfs:comment """Represents any type of alteration of a pure interval.""";

	vs:term_status "unstable" .

tm:PitchClassDeviation a owl:Class;

	a rdfs:Class;

	rdfs:label "Pitch Class Deviation";

	rdfs:comment """Deviation in cents of a pitch class from its value in equal temperament.""";

	vs:term_status "unstable" .

tm:DeviationFromFifth a owl:Class;

	a rdfs:Class;

	rdfs:subClassOf tm:IntervalDeviation;

	rdfs:label "Deviation from Fifth";

	rdfs:comment """Represent the deviation from a pure fifth interval.""";

	vs:term_status "unstable" .

# properties

tm:interval

    a rdf:Property, owl:ObjectProperty;

    rdfs:label "interval";

    rdfs:comment """Associates a specific interval on the circle of fifths. """;

    rdfs:domain tm:TemperamentDescription;

    rdfs:range tm:Interval;

    vs:term_status "unstable" .

tm:deviation

    a rdf:Property, owl:ObjectProperty, owl:FunctionalProperty;

    rdfs:label "interval deviation";

    rdfs:comment """Links an interval with a particular deviation

	from pure that characterises the interval.""";

    rdfs:domain tm:Interval;

    rdfs:range tm:IntervalDeviation;

    vs:term_status "unstable" .

tm:pitch_class_deviation

    a rdf:Property, owl:ObjectProperty, owl:FunctionalProperty;

    rdfs:label "pitch class deviation";

    rdfs:comment """The deviation of a particular pitch class in the described 

	temperament from its equivalent in equal temperament.""";

    rdfs:domain tm:DeviationsFromEqual;

    rdfs:range tm:PitchClassDeviation;

    vs:term_status "unstable" .

tm:comma

    a rdf:Property, owl:ObjectProperty, owl:FunctionalProperty;

    rdfs:label "comma";

    rdfs:comment """Links an interval deviation with a type of comma. """;

    rdfs:domain tm:IntervalDeviation;

    rdfs:range tm:Comma;

    vs:term_status "unstable" .

tm:value 

	a rdf:Property, owl:DatatypeProperty, owl:FunctionalProperty;

    rdfs:label "deviation value";

    rdfs:comment """Links an interval deviation to its float value (in cents). """;

    rdfs:domain tm:IntervalDeviation, tm:PitchClassDeviation;

	rdfs:range xsd:float;

    vs:term_status "unstable" .

# please refine the terminology here : 

tm:lower

	a rdf:Property, owl:ObjectProperty, owl:FunctionalProperty;

    rdfs:label "lower pitch class";

    rdfs:comment """Links an interval a pitch calss which is lower on a scale.""";

    rdfs:domain tm:Interval;

	rdfs:range tm:PitchClass;

    vs:term_status "unstable" .

tm:upper

	a rdf:Property, owl:ObjectProperty, owl:FunctionalProperty;

    rdfs:label "upper pitch class";

    rdfs:comment """Links an interval with a pitch class which is higher on a scale compared to the other pitch class of this interval.""";

    rdfs:domain tm:Interval;

	rdfs:range tm:PitchClass;

    vs:term_status "unstable" .

tm:pitch_class

	a rdf:Property, owl:ObjectProperty, owl:FunctionalProperty;

    rdfs:label "pitch class";

    rdfs:comment """The pitch class of a particular pitch class deviation. 

	This can be used to express deviations from equal temperament.""";

    rdfs:domain tm:PitchClassDeviation;

	rdfs:range tm:PitchClass;

    vs:term_status "unstable" .

tm:frequency_ratio

    a rdf:Property, owl:ObjectProperty, owl:FunctionalProperty;

	rdfs:label "frequency ratio";

	rdfs:comment """The frequency ratio of the two pitch classes in the interval.

	This may be a single value or an expression (given for example in an N3 graph literal).""";

	rdfs:domain tm:intarval;

	vs:term_status "unstable" .

###############################################

# Part 4: Individuals                		  #

###############################################

# some named temperaments

tm:Valotti a tm:WellTemperament ;

	rdfs:label "Valotti" .

tm:Neidhardt a tm:WellTemperament ;

	rdfs:label "Neidhardt" .

tm:Bendeler a tm:WellTemperament ;

	rdfs:label "Bendeler" .

tm:Stanhope a tm:WellTemperament ;

    rdfs:label "Stanhope" .

tm:KirnbergerIII a tm:WellTemperament ;

	rdfs:label "KirnbergerIII" .

tm:YoungII a tm:WellTemperament ;

    rdfs:label "YoungII" .

tm:WerckmeisterIII a tm:WellTemperament ;

 	rdfs:label "WerckmeisterIII" .

tm:QuarterCommaMeantone a tm:MeantoneTemperament;

	a tm:RegularTemperament ;

	rdfs:label "QuarterCommaMeantone" .

tm:FifthCommaMeantone a tm:MeantoneTemperament;

	a tm:RegularTemperament ;

	rdfs:label "FifthCommaMeantone" .

tm:SixthCommaMeantone a tm:MeantoneTemperament;

	a tm:RegularTemperament ;

	rdfs:label "SixthCommaMeantone" .

# specific commas 

:PythagoreanComma a tm:Comma;

	rdfs:label "Pythagorean Comma";

	rdfs:comment """One Pythagorean Comma, the difference between

	7 octaves and 12 pure fifths, is 23.5 cents. It is equivalent to the Ditonic comma.""" .

:DitonicComma a tm:Comma;

	rdfs:label "Ditonic Comma";

	rdfs:comment "The Ditonic comma is equivalent to the Pythagorean comma." ;

	owl:sameAs tm:PythagoreanComma .

:SyntonicComma a tm:Comma;

	rdfs:label "Syntonic Comma";

	rdfs:comment """One Syntonic Comma is 21.51 cents. """ .

:DidymusComma a tm:Comma;

	rdfs:label "Didymus Comma";

	rdfs:comment "The Didymus is equivalent to the Syntonic comma (21.51 cents)." ;

	owl:sameAs tm:SyntonicComma .

:Diaschisma a tm:Comma;

	rdfs:label "Diaschisma";

	rdfs:comment """One Diaschisma is 19.55 cents. """ .

:Schisma a tm:Comma;

	rdfs:label "Schisma";

	rdfs:comment """One Schisma is 1.95 cents. """ .

# individuals of pitch classes (e.g. to describe the circle of fifths) 

pc:A

    a tm:PitchClass;

	rdfs:label "A" ;

	rdfs:comment "pitch class A" .

pc:B

    a tm:PitchClass;

	rdfs:label "B" ;

	rdfs:comment "pitch class B" .

pc:C

    a tm:PitchClass;

    rdfs:label "C" ;

	rdfs:comment "pitch class C" .

pc:D

    a tm:PitchClass;

    rdfs:label "D" ;

	rdfs:comment "pitch class D" .

pc:E

    a tm:PitchClass;

    rdfs:label "E" ;

	rdfs:comment "pitch class E" .

pc:F

    a tm:PitchClass;

    rdfs:label "F" ;

	rdfs:comment "pitch class F" .

pc:G

    a tm:PitchClass;

    rdfs:label "G" ;

	rdfs:comment "pitch class G" .

pc:Ab

    a tm:PitchClass;

	rdfs:label "Ab" ;

	rdfs:comment "pitch class Ab" .

pc:Bb

    a tm:PitchClass;

	rdfs:label "Bb" ;

	rdfs:comment "pitch class Bb" .

pc:Cb

    a tm:PitchClass;

    rdfs:label "Cb" ;

	rdfs:comment "pitch class Cb" .

pc:Db

    a tm:PitchClass;

    rdfs:label "Db" ;

	rdfs:comment "pitch class Db" .

pc:Eb

    a tm:PitchClass;

    rdfs:label "Eb" ;

	rdfs:comment "pitch class Eb" .

pc:Fb

    a tm:PitchClass;

    rdfs:label "Fb" ;

	rdfs:comment "pitch class Fb" .

pc:Gb

    a tm:PitchClass;

    rdfs:label "Gb" ;

	rdfs:comment "pitch class Gb" .

pc:As

    a tm:PitchClass;

	rdfs:label "As" ;

	rdfs:comment "pitch class As" .

pc:Bs

    a tm:PitchClass;

	rdfs:label "Bs" ;

	rdfs:comment "pitch class Bs" .

pc:Cs

    a tm:PitchClass;

    rdfs:label "Cs" ;

	rdfs:comment "pitch class Cs" .

pc:Ds

    a tm:PitchClass;

    rdfs:label "Ds" ;

	rdfs:comment "pitch class Ds" .

pc:Es

    a tm:PitchClass;

    rdfs:label "Es" ;

	rdfs:comment "pitch class Es" .

pc:Fs

    a tm:PitchClass;

    rdfs:label "Fs" ;

	rdfs:comment "pitch class Fs" .

pc:Gs

    a tm:PitchClass;

    rdfs:label "Gs" ;

	rdfs:comment "pitch class Gs" .