User:Nick Vuci/TonalityDiamond: Difference between revisions

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File:How to tonality diamond 1.png|'''Step 1: Take the numbers of an odd-limit and arrange them along two axes.'''
File:How to tonality diamond 1.png|'''Step 1: Take the numbers of an odd-limit and arrange them along two axes.'''
File:How to tonality diamond 2.png|'''Step 2: Using one row as the numerator and the other as the denominator, fill in the cells with the ratios they form.'''
File:How to tonality diamond 2.png|'''Step 2: Using one row as the numerator and the other as the denominator, fill in the cells with the ratios they form.'''
File:How to tonality diamond 3.png|'''Step 3: Octave-reduce the ratios, or 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: Octave-reduce the ratios (ie, make sure the decimal form of each ratio 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:  
</gallery>Note: the numbers of the odd-limit are generally arranged in one of three ways: