OTC 7L 12s

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Omnitetrachordal MOS scale

19 tones (8+3+8)

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

P = -0.2063597584

Q = 5.0713810872 (4/3 = 3L+4.5s)

L = 63.16 to 171.43 cents (128.12 cents @ Q)

s = 0.00 to 63.16 cents (25.26 cents @ Q)

9/8 = L+2s (171.43 to 189.47 cents)

4/3 = 3L+5s (505.26 to 514.29 cents)

generator = 4/3

notable EDOs: 26, 33, 40, 45

symmetric mode: sLssLsLssLssLsLssLs

all modes:

`sLs sLsLssLs sLsLssLs`		`sLssLsLs sLssLsLs sLs`
`Lss LsLssLss LsLssLss`		`LssLsLss LssLsLss Lss`
`ssL sLssLssL sLssLssL`		`ssLsLssL ssLsLssL ssL`
`sLs LssLssLs LssLssLs`		`sLsLssLs sLsLssLs sLs`
		`LsLssLss LsLssLss Lss`
	`sLssLssL sLs sLssLssL`	`sLssLssL sLssLssL ssL`
	`LssLssLs Lss LssLssLs`	`LssLssLs LssLssLs sLs`
	`ssLssLsL ssL ssLssLsL`
	`sLssLsLs sLs sLssLsLs`
	`LssLsLss Lss LssLsLss`
	`ssLsLssL ssL ssLsLssL`
	`sLsLssLs sLs sLsLssLs`
	`LsLssLss Lss LsLssLss`
`sLs sLssLssL sLssLssL`	`sLssLssL ssL sLssLssL`
`Lss LssLssLs LssLssLs`	`LssLssLs sLs LssLssLs`
`ssL ssLssLsL ssLssLsL`
`sLs sLssLsLs sLssLsLs`		`sLssLssL sLssLssL sLs`
`Lss LssLsLss LssLsLss`		`LssLssLs LssLssLs Lss`
`ssL ssLsLssL ssLsLssL`		`ssLssLsL ssLssLsL ssL`

See also

References

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

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