OTC 12L 3s: Difference between revisions
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[[Category:15-tone scales]] | [[Category:15-tone scales]] | ||
[[Category:Tempered scales]] | [[Category:Tempered scales]] | ||
[[Category:Pages with mostly numerical content]] | |||
[[Category:MODMOS]] | [[Category:MODMOS]] | ||
[[Category:Omnitetrachordal]] | [[Category:Omnitetrachordal]] | ||
[[Category:Augmented]] | [[Category:Augmented]] | ||
Latest revision as of 03:08, 24 June 2025
Omnitetrachordal MODMOS scale
15 tones (6+3+6)
temperament: augmented
P = 12.5377181246
Q = 38.1131543739 (4/3 = 5L+0.5s)
L = 80.00 to 100.00 cents (98.04 cents @ P, 99.35 cents @ Q)
s = 0.00 to 80.00 cents (7.82 cents @ P, 2.61 cents @ Q)
9/8 = 2L+s (200.00 to 240.00 cents)
4/3 = 5L+s (480.00 to 500.00 cents)
MOS generator = L (80.0 to 100.0 cents)
MOS period = 1/3 octave (400.00 cents)
notable EDOs: 27, 39, 51
LLLLsLLLLsLLLLs (MOS, not OTC) - gen chains 5,5,5; per chains 3,3,3,3,3; 3/2 chains 5,5,5
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LLLLLsLLsLLLLLs (OTC MODMOS) - gen chains 6,6,3; per chains 3,3,3,2,2; 3/2 chains 5,5,5
symmetric mode: LsLLLLLsLLLLLsL
all modes:
| LLs LLLLLs LLLLLs | LLsLLL LLsLLL LLs | |
| LsL LLLLsL LLLLsL | LsLLLL LsLLLL LsL | |
| sLL LLLsLL LLLsLL | sLLLLL sLLLLL sLL | |
| LLLLLs LLLLLs LLs | ||
| LLLLsL LLLLsL LsL | ||
| LLLsLL LLLsLL sLL | ||
| LLsLLL LLs LLsLLL | ||
| LsLLLL LsL LsLLLL | ||
| sLLLLL sLL sLLLLL | ||
| LLLLLs LLs LLLLLs | ||
| LLLLsL LsL LLLLsL | ||
| LLLsLL sLL LLLsLL | ||
| LLs LLsLLL LLsLLL | ||
| LsL LsLLLL LsLLLL | ||
| sLL sLLLLL sLLLLL |
