OTC 7L 7s
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Omnitetrachordal MOS scale
14 tones (6+2+6)
temperament: whitewood
This scale has some unusual properties:
- it has only two modes
- either mode may be split in any of the three possible omnitetrachordal ways (9/8-4/3-4/3, 4/3-9/8-4/3, 4/3-4/3-9/8)
- it is its own dual (changing all L to s, and vice versa, gives the same scale)
- the (imperfect) tunings of 9/8 and 4/3 are independent of L/s ratio
See also OTC 5L+5s (blackwood) and OTC 12L+12s (catler/compton).
P = undefined (-1?)
Q = 4.2777408456 (4/3 = 3L+2.5s)
L = 85.71 to 171.43 cents (138.95 cents @ Q)
s = 0.00 to 85.71 cents (32.48 cents @ Q)
9/8 = L+s (171.43 cents for any L/s)
4/3 = 3L+3s (514.29 cents for any L/s)
generator = s (0.00 to 85.71 cents)
period = 1/7 octave (171.43 cents)
notable EDOs: 21, 28, 35 (for 35edo, use L/s=3/2)
all modes:
Ls LsLsLs LsLsLs | LsLsLs Ls LsLsLs | LsLsLs LsLsLs Ls |
sL sLsLsL sLsLsL | sLsLsL sL sLsLsL | sLsLsL sLsLsL sL |