OTC 12L 5s

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

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.