OTC 12L 7s

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

See also

• Omnitetrachordality
• Gallery of omnitetrachordal scales

References

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