OTC 2L 10s
Omnitetrachordal MODMOS scales
This OTC scale pattern has two classes (with different tetrachordal divisions). Only a few other scales of the form 2L+ns are known to have this property.
temperaments: injera ?
Class 1
12 tones (5+2+5)
Dual of OTC 10L+2s. Probably only useful for small values of L/s.
P = 0.8849491924
Q = 3.8274237885 (4/3 = L+3.5s)
L = 100.00 to 600.00 cents (260.15 cents @ Q)
s = 0.00 to 100.00 cents (67.97 cents @ Q)
9/8 = 2s (0.00 to 200.00 cents)
4/3 = L+4s (500.00 to 600.00 cents)
MOS generator = s (0.00 to 100.00 cents)
MOS period = 1/2 octave (600.00 cents)
notable EDOs: 14, 16, 26, 38
LsssssLsssss (MOS, not OTC)
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LssssLssssss (OTC MODMOS) - gen chains 7,5
symmetric modes:
sssLssssLsss
ssLssssssLss
all modes:
| ssLss ss ssLss | ||
| sLsss ss sLsss | ||
| Lssss ss Lssss | ||
| ss ssssL ssssL | ||
| ss sssLs sssLs | ||
| ss ssLss ssLss | ssssL ssssL ss | |
| ss sLsss sLsss | sssLs sssLs ss | |
| ss Lssss Lssss | ssLss ssLss ss | |
| sLsss sLsss ss | ||
| Lssss Lssss ss | ||
| ssssL ss ssssL | ||
| sssLs ss sssLs |
Class 2
12 tones (4+4+4)
Only works at high values of L/s.
Q2 = 3.8274237885 (4/3 = L+3.5s)
P = 6.7698983847
Q1 = 9.7123729809 (4/3 = L+2.5s)
L = 100.00 to 600.00 cents (260.15 cents @ Q2, 345.11 cents @ P, 396.09 cents @ Q1)
s = 0.00 to 100.00 cents (67.97 cents @ Q2, 50.98 cents @ P, 40.78 cents @ Q1)
9/8 = 4s (0.00 to 400.00 cents)
4/3 = L+3s (400.00 to 600.00 cents)
MOS generator = s (0.00 to 100.00 cents)
MOS period = 1/2 octave (600.00 cents)
notable EDOs: 20, 22, 24
LsssssLsssss (MOS, not OTC)
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LsssLsssssss (OTC MODMOS) - gen chains 8,4
all modes:
| Lsss Lsss ssss | ||
| sssL ssss sssL | ||
| ssLs ssss ssLs | ||
| sLss ssss sLss | ||
| Lsss ssss Lsss | ||
| ssss sssL sssL | ||
| ssss ssLs ssLs | ||
| ssss sLss sLss | ||
| ssss Lsss Lsss | ||
| sssL sssL ssss | ||
| ssLs ssLs ssss | ||
| sLss sLss ssss |