OTC 7L 5s

Omnitetrachordal MOS scale

7L+5s

12 tones (5+2+5)

MOS of the meantone and flattone temperaments (slightly flat 3/2). Imperfect, but very usable at any L/s ratio. Many modes may be pentachordally split in two ways.

P = 0.7936402416

Q = 6.0713810872 (4/3 = 3L+1.5s)

L = 100.00 to 171.43 cents (153.38 cents @ Q)

s = 0.00 to 100.00 cents (25.26 cents @ Q)

9/8 = L+s (171.43 to 200.00 cents)

4/3 = 3L+2s (500.00 to 514.29 cents)

generator = 4/3

notable EDOs: 19, 26, 31, 33, 43, 45, 50, etc.

all modes:

	sLLsL sL sLLsL
	LLsLs Ls LLsLs
Ls LsLsL LsLsL	LsLsL sL LsLsL
sL sLsLL sLsLL
Ls LsLLs LsLLs		LsLsL LsLsL Ls
sL sLLsL sLLsL		sLsLL sLsLL sL
Ls LLsLs LLsLs		LsLLs LsLLs Ls
sL LsLsL LsLsL		sLLsL sLLsL sL
		LLsLs LLsLs Ls
	LsLsL Ls LsLsL	LsLsL LsLsL sL
	sLsLL sL sLsLL
	LsLLs Ls LsLLs

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.