Maximum variety: Difference between revisions
Undo revision 75123 by Moremajorthanmajor (talk), pls don't format scales as telephone numbers Tag: Undo |
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1/1 9/8 40/27 3/2 160/81 ... max variety 3 | 1/1 9/8 40/27 3/2 160/81 ... max variety 3 | ||
1/1 | 1/1 10/9 9/8 40/27 3/2 ... fails, max variety 4 | ||
1/1 | 1/1 10/9 9/8 3/2 5/3 ... fails, max variety 4 | ||
1/1 9/8 5/4 3/2 5/3 ... max variety 3 | 1/1 9/8 5/4 3/2 5/3 ... max variety 3 | ||
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1/1 9/8 5/4 3/2 15/8 ... max variety 3 | 1/1 9/8 5/4 3/2 15/8 ... max variety 3 | ||
1/1 9/8 | 1/1 9/8 45/32 3/2 15/8 ... max variety 3 | ||
1/1 | 1/1 135/128 9/8 45/32 3/2 ... fails, max variety 4 | ||
1/1 | 1/1 135/128 9/8 3/2 405/256 ... fails, max variety 4 | ||
1/1 9/8 | 1/1 9/8 1215/1024 3/2 405/256 ... max variety 3 | ||
Scales with three step sizes are also derivable by summing MOS scales together. All 5-note and 7-note scales derived this way will have max variety 3. | Scales with three step sizes are also derivable by summing MOS scales together. All 5-note and 7-note scales derived this way will have max variety 3. | ||
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7L 1m 1s | 7L 1m 1s | ||
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As the 6-note and 9-note addition tables prove, the requirement of having the same number of steps of different sizes makes max variety 3 scales with three step sizes rare. | As the 6-note and 9-note addition tables prove, the requirement of having the same number of steps of different sizes makes max variety 3 scales with three step sizes. rare. | ||