OTC 12L 5s

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Omnitetrachordal MOS scale

12L+5s

17 tones (7+3+7)

Helmholtz / schismatic

P = 3.8459060415 (L=256/243, s=531441/524288)

Q = 29.4213422908 (4/3 = 5L+1.5s)

L = 70.59 to 100.00 cents (90.22 cents @ P, 98.60 cents @ Q)

s = 0.00 to 70.59 cents (23.46 cents @ P, 3.35 cents @ Q)

9/8 = 2L+s (200.00 to 211.76 cents)

4/3 = 5L+2s (494.12 to 500.00 cents)

generator = 4/3

notable EDOs: 29, 41, 46, 53, 65

symmetric mode: LsLLLsLLsLLsLLLsL

all modes:

LsLLLsL LsL LsLLLsL
sLLLsLL sLL sLLLsLL
LLLsLLs LLs LLLsLLs
LLs LLsLLsL LLsLLsL LLsLLsL LsL LLsLLsL
LsL LsLLsLL LsLLsLL LsLLsLL sLL LsLLsLL
sLL sLLsLLL sLLsLLL
LLs LLsLLLs LLsLLLs LLsLLsL LLsLLsL LLs
LsL LsLLLsL LsLLLsL LsLLsLL LsLLsLL LsL
sLL sLLLsLL sLLLsLL sLLsLLL sLLsLLL sLL
LLs LLLsLLs LLLsLLs LLsLLLs LLsLLLs LLs
LsL LLsLLsL LLsLLsL LsLLLsL LsLLLsL LsL
sLL LsLLsLL LsLLsLL sLLLsLL sLLLsLL sLL
LLLsLLs LLLsLLs LLs
LLsLLsL LLs LLsLLsL LLsLLsL LLsLLsL LsL
LsLLsLL LsL LsLLsLL LsLLsLL LsLLsLL sLL
sLLsLLL sLL sLLsLLL
LLsLLLs LLs LLsLLLs

17_12_05_LLLsLLs_LLs_LLLsLLs.png

See also

References

  • Noted as omnitetrachordal by Paul Erlich no later than 2002. See tuning-math list messages 3685 and 10987.