User:Nick Vuci/TonalityDiamond: Difference between revisions

Nick Vuci (talk | contribs)
Nick Vuci (talk | contribs)
Line 11: Line 11:
File:How to tonality diamond 3.png|'''Step 3: Make sure the decimal form of the ratios is between 1 and 2. If it is not, double one of the numbers until it is.'''
File:How to tonality diamond 3.png|'''Step 3: Make sure the decimal form of the ratios is between 1 and 2. If it is not, double one of the numbers until it is.'''
File:How to tonality diamond 4.png|'''Optional step: to make the rows play rooted chords, one half of the diamond (not including the middle unison row) must be lowered by an octave (represented by grey cells in image).'''
File:How to tonality diamond 4.png|'''Optional step: to make the rows play rooted chords, one half of the diamond (not including the middle unison row) must be lowered by an octave (represented by grey cells in image).'''
</gallery>Note: the numbers of the odd-limit are generally arranged in one of three ways: a) ascending numerically (ie, 2 3 5 7 9 11 etc) or, b) ascending by tonal order (ie 2 9 5 11 3 7), or c) ascending chordally (ie, 2 5 3 7 9 11).
</gallery>Note: the numbers of the odd-limit are generally arranged in one of three ways:  
 
* numerically (ie, 2 3 5 7 9 11) as in Meyer's 7-limit diamond
* by tonal order (ie 2 9 5 11 3 7) as in Partch's 11-limit diamond
* chordally (ie, 2 5 3 7 9 11) as in the layout for the Diamond Marimba


== History ==
== History ==