User:Nick Vuci/TonalityDiamond: Difference between revisions

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== Construction ==

[[File:~~NickVuci-~~How to ~~make a~~ tonality diamond.png|~~right|750x750px]]~~

~~Making a tonality diamond involves a few simple steps:~~

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.'''

# '''Take the numbers of an odd-limit and arrange them along two axes.'''

File:How to tonality diamond 3.png|'''Step 3: Make sure the decimal form of the ratio is between 1 and 2. If it is not, double one of the numbers until it is.'''

# '''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 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).'''

# '''Make sure the decimal form of the ratio is between 1 and 2. If it is not, double one of the numbers until it is.'''

</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).

~~Some finer points~~:

- 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).

~~- in order to make the rows play rooted chords, one half of the diamond (not including the middle unison row) must be lowered by an octave~~.

== History ==

@@ Line 6: / Line 6: @@
 == Construction ==
-[[File:NickVuci-How to make a tonality diamond.png|right|750x750px]]
+<gallery mode="nolines" widths="200" heights="200">
-Making a tonality diamond involves a few simple steps:
+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.'''
-# '''Take the numbers of an odd-limit and arrange them along two axes.'''
+File:How to tonality diamond 3.png|'''Step 3: Make sure the decimal form of the ratio is between 1 and 2. If it is not, double one of the numbers until it is.'''
-# '''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 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).'''
-# '''Make sure the decimal form of the ratio is between 1 and 2. If it is not, double one of the numbers until it is.'''
+</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).
-Some finer points:
-- 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).
-- in order to make the rows play rooted chords, one half of the diamond (not including the middle unison row) must be lowered by an octave.
 == History ==