OTC 7L 3s: Difference between revisions
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<ul><li>[[Omnitetrachordality|Omnitetrachordality]]</li><li>[[Gallery_of_omnitetrachordal_scales|Gallery of omnitetrachordal scales]]</li></ul> | <ul><li>[[Omnitetrachordality|Omnitetrachordality]]</li><li>[[Gallery_of_omnitetrachordal_scales|Gallery of omnitetrachordal scales]]</li></ul> | ||
[[Category:10-tone scales]] | [[Category:10-tone scales]] | ||
[[Category: | [[Category:Tempered scales]] | ||
[[Category:Pages with mostly numerical content]] | [[Category:Pages with mostly numerical content]] | ||
[[Category:MODMOS]] | [[Category:MODMOS]] | ||
Latest revision as of 03:08, 24 June 2025
Omnitetrachordal MODMOS scale
10 tones (4+2+4)
Mohajira / neutral-thirds MODMOS; primes 3, 11 better at high L/s; primes 7, 13 better at low L/s
P = 2.5872804832
Q = 7.8650213288 (4/3 = 3L+0.5s)
L = 120.00 to 171.43 cents (147.07 cents @ P, 162.57 cents @ Q)
s = 0.00 to 120.00 cents (56.84 cents @ P, 20.67 cents @ Q)
9/8 = L+s (171.43 to 240.00 cents)
4/3 = 3L+s (480.00 to 514.29 cents)
MOS generator = 2L+s (342.86 to 360.00 cents)
notable EDOs: 17, 24, 27, 31, 37, 41
sLLsLLsLLL (MOS, not OTC)
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sLLLsLsLLL (OTC MODMOS) - chain of 8 generators, 2 orphaned notes
(Note: both MOS and OTC have two chains of five 3/2s.)
all modes:
| Ls LLLs LLLs | LsLL LsLL Ls | |
| sL LLsL LLsL | sLLL sLLL sL | |
| LLLs LLLs Ls | ||
| LLsL LLsL sL | ||
| LsLL Ls LsLL | ||
| sLLL sL sLLL | ||
| LLLs Ls LLLs | ||
| LLsL sL LLsL | ||
| Ls LsLL LsLL | ||
| sL sLLL sLLL |
