OTC 12L 7s

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Omnitetrachordal MOS scale

12L+7s

19 tones (8+3+8)

Meantone MOS; P<0 (oddly, neither this scale nor its dual can be tuned with a perfect 3/2!)

P = -4.8459060415

Q = 20.7295302077 (4/3 = 5L+2.5s)

L = 63.16 to 100.00 cents (97.26 cents @ Q)

s = 0.00 to 63.16 cents (4.69 cents @ Q)

9/8 = 2L+s (189.47 to 200.00 cents)

4/3 = 5L+3s (500.00 to 505.26 cents)

generator = 4/3

notable EDOs: 31, 43, 50, 55

symmetric mode: LsLLsLsLLsLLsLsLLsL

all modes:

LsL LsLsLLsL LsLsLLsL LsLLsLsL LsLLsLsL LsL
sLL sLsLLsLL sLsLLsLL sLLsLsLL sLLsLsLL sLL
LLs LsLLsLLs LsLLsLLs LLsLsLLs LLsLsLLs LLs
LsL sLLsLLsL sLLsLLsL LsLsLLsL LsLsLLsL LsL
sLsLLsLL sLsLLsLL sLL
LsLLsLLs LsL LsLLsLLs LsLLsLLs LsLLsLLs LLs
sLLsLLsL sLL sLLsLLsL sLLsLLsL sLLsLLsL LsL
LLsLLsLs LLs LLsLLsLs
LsLLsLsL LsL LsLLsLsL
sLLsLsLL sLL sLLsLsLL
LLsLsLLs LLs LLsLsLLs
LsLsLLsL LsL LsLsLLsL
sLsLLsLL sLL sLsLLsLL
LsL LsLLsLLs LsLLsLLs LsLLsLLs LLs LsLLsLLs
sLL sLLsLLsL sLLsLLsL sLLsLLsL LsL sLLsLLsL
LLs LLsLLsLs LLsLLsLs
LsL LsLLsLsL LsLLsLsL LsLLsLLs LsLLsLLs LsL
sLL sLLsLsLL sLLsLsLL sLLsLLsL sLLsLLsL sLL
LLs LLsLsLLs LLsLsLLs LLsLLsLs LLsLLsLs LLs

19_12_07_sLLsLsLL_sLL_sLLsLsLL.png

See also

References

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