OTC 5L 5s
Omnitetrachordal MOS scale
10 tones (4+2+4)
temperament: blackwood
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 7L+7s (whitewood) and OTC 12L+12s (catler/compton), which have similar properties.
P = undefined (or -1?)
Q = 5.6500418817 (4/3 = 2L+2.5s)
L = 120.00 to 240.00 cents (203.91 cents @ Q)
s = 0.00 to 120.00 cents (36.09 cents @ Q)
9/8 = L+s (240.00 cents for any L/s)
4/3 = 2L+2s (480.00 cents for any L/s)
generator = s (0.00 to 120.00 cents)
period = 1/5 octave (240.00 cents)
notable EDOs: 15, 20, 25
all modes:
Ls LsLs LsLs | LsLs Ls LsLs | LsLs LsLs Ls |
sL sLsL sLsL | sLsL sL sLsL | sLsL sLsL sL |