OTC 2L 3s

Omnitetrachordal MOS scale

2L+3s

5 tones (2+1+2)

The classic pentatonic scale. Can include superpyth, Pythagorean, meantone, and mavila tunings. (1)

P = 1.4424745962 (L=32/27, s=9/8)

Q = 4.3849491924 (4/3 = L+0.5s)

L = 240.00 to 600.00 cents (294.13 cents @ P, 447.07 cents @ Q)

s = 0.00 to 240.00 cents (203.91 cents @ P, 101.96 cents @ Q)

9/8 = s (0.00 to 240.00 cents)

4/3 = L+s (480.00 to 600.00 cents)

generator = 4/3

notable EDOs: 7, 9, 12, 16, 17, 19, 22, 26, 29, 31

symmetric mode: sLsLs

all modes:

	sL s sL		1|3
	Ls s Ls		3|1
s sL sL			0|4
s Ls Ls		sL sL s	2|2
		Ls Ls s	4|0

See also

• Omnitetrachordality
• Gallery of omnitetrachordal scales

References

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