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%ADDSHORT2LIST Combine degrees of a shorthand with another degree list
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% 
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% [fulldegreelist, success, errormessage] = addshort2list(shorthand, degreelist, {verbose})
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% 
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% Combine shorthand and degreelist to form full degree list for a chord.  
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% Takes into account the omit degree character '*' in producing final list.
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% 
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% Success = 1 if shorthand and degreelist combined correctly, 0 otherwise.
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% 
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% If optional argument 'verbose' is 1, function prints any errormessage to 
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% the screen.
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% 
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% returns:  fulldegreelist (string)
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%           success (boolean)
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%           errormessage (string)
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%
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% Author: Christopher Harte,  August 2005
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% 
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% Copyright: Centre for Digital Music, Queen Mary University of London 2005 
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%
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% This file is part of the C4DM Chord Toolkit.  
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%
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% The C4DM Chord Toolkit is free software; you can redistribute it and/or 
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% modify it under the terms of the GNU General Public License as published 
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% by the Free Software Foundation; either version 2 of the License, or
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% (at your option) any later version.
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%
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% The C4DM Chord Toolkit is distributed in the hope that it will be useful,
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% but WITHOUT ANY WARRANTY; without even the implied warranty of
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% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
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% GNU General Public License for more details.
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%
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% You should have received a copy of the GNU General Public License
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% along with the C4DM Toolkit; if not, write to the Free Software
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% Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA  02110-1301  USA
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%
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function [fulldegreelist, success, errormessage] = addshort2list(shorthand, degreelist, verbose)
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% set verbose default to 0
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if nargin < 3
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    verbose = 0;
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end
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errormessage = '';
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% initialise variables
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fulldegreelist = '';
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shortintervals = [];
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degreeintervals = [];
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addlist = [];
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success = 1;
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% convert shorthand string to list of degrees
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[shortdegrees, ok, errors]  = shorthand2degrees(shorthand);
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if ok
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    % if that works convert the shorthand degrees and degreelist to
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    % intervals and accidentals
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    % add the implied 1 interval to the shorthand list
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    if isempty(shortdegrees)
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        rootinterval = '1'; % no comma if shorthand is empty
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    else
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        rootinterval = '1,'; % comma shows that there are further degrees after this one
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    end
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    [shortintervals, ok, errors] = parsedegreelist([rootinterval shortdegrees]); 
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    if (ok)
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      % this part of the algorithm finds all the present intervals and sorts
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      % them into ascending numeric order
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      % First put the shorthand intervals into the full list
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      [ilength,y] = size(shortintervals);
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      for index = 1:ilength
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          % convert interval to a semitone value  
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          semitone = interval2semitone(shortintervals(index,1),shortintervals(index,2));
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          % Using the semitone value as an index will find redundant
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          % degrees and also sort them in number order. Multiplying the interval by its
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          % presence value leaves either the interval value or 0. Any element 
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          % in the array with interval of 0 will be discarded later
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          % We add 1 to the semitone value to handle the '1'  or 'unity'
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          % interval that would return a 0 semitone value
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          % record the interval 
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          addlist(semitone+1,1) = shortintervals(index,1) .* shortintervals(index,3);
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          % record the accidentals as well
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          addlist(semitone+1,2) = shortintervals(index,2);
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      end
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    else
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        success = 0;
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    end
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    [degreeintervals, ok2, errors] = parsedegreelist(degreelist);
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    ok = ok && ok2;
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    if ok
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      % Now add the degrees from the degreelist taking redundant and 
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      % ommitted degrees into account 
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      [ilength,y] = size(degreeintervals);
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      for index = 1:ilength
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          % convert interval to a semitone value  
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          [semitone, ok, errors] = interval2semitone(degreeintervals(index,1),degreeintervals(index,2));
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          if ok && semitone >= 0
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          % record the interval 
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          addlist(semitone+1,1) = degreeintervals(index,1) .* degreeintervals(index,3);
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          % record the accidentals as well
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          addlist(semitone+1,2) = degreeintervals(index,2);
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          else
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             success = 0; 
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          end
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      end
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    else
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        success=0;
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    end
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    % now create fulldegreelist
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    if ok
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        [ilength,y] = size(addlist);
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        for index = 1:ilength
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            % if there is a non zero interval in this element, convert 
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            % it to a degree symbol and add it to the output list
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            if(addlist(index,1) ~=0)
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                degreesymbol = interval2degree(addlist(index,1),addlist(index,2));
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                if isempty(fulldegreelist)
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                    % if this is the first degree then start list
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                    fulldegreelist = degreesymbol; 
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                else
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                    % add to list with a separating comma
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                    fulldegreelist = [fulldegreelist ',' degreesymbol];
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                end
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            end
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        end
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    else
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        success = 0;
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    end
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else
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    success = 0;
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end
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if success == 0
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    errormessage = [errors sprintf(['Error in addshort2list: unsuccessful '...
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                    'combination  "' shorthand '" and "' degreelist '"\n'])];
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    if verbose ==1
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       fprintf(1,errormessage);
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    end
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end   
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