OTC 12L 8s
Omnitetrachordal MODMOS scale
20 tones (8+4+8)
diminished; 3 forms; best at high L/s
P = 16.3836241662
Q = 41.9590604155 (4/3 = 5L+2.5s)
L = 60.00 to 100.00 cents (96.09 cents @ P, 98.44 cents @ Q)
s = 0.00 to 60.00 cents (5.87 cents @ P, 2.35 cents @ Q)
9/8 = 2L+2s (200.00 to 240.00 cents)
4/3 = 5L+3s (480.00 to 500.00 cents)
MOS generator = L+s (100.00 to 120.00 cents)
MOS period = 1/4 octave (300.00 cents)
notable EDOs: 32, 44, 56, 68, 80
sLsLLsLsLLsLsLLsLsLL (MOS, not OTC)
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sLLssLLsLLLssLLsLLLs (OTC MODMOS, form 1) - gc 6,2,4,2; 6o
sLsLLsLsLLsLsLLsLsLL (MOS, not OTC)
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ssLLLsLLssLLssLLLsLL (OTC MODMOS, form 2) - gc 6,2,4,2; 6o
sLsLLsLsLLsLsLLsLsLL (MOS, not OTC)
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sLsLsLsLLLsLsLsLLLsL (OTC MODMOS, form 3) - gc 6,6,4,4
sLLssLLsLLLssLLsLLLs (form 1)
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sLLssLLLsLLssLLLsLLs (form 2)
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sLsLsLLLsLsLsLLLsLsL (form 3)
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sLLssLLsLLLssLLsLLLs (form 1)
all modes, form 1:
| sLLs sLLsLLLs sLLsLLLs | ||
| LLss LLsLLLss LLsLLLss | LLssLLsL LLssLLsL LLss | |
| LssL LsLLLssL LsLLLssL | LssLLsLL LssLLsLL LssL | |
| ssLL sLLLssLL sLLLssLL | ssLLsLLL ssLLsLLL ssLL | |
| sLLs LLLssLLs LLLssLLs | sLLsLLLs sLLsLLLs sLLs | |
| LLsLLLss LLsLLLss LLss | ||
| LsLLLssL LsLLLssL LssL | ||
| sLLLssLL sLLLssLL ssLL | ||
| LLLssLLs LLLssLLs sLLs | ||
| LLssLLsL LLss LLssLLsL | ||
| LssLLsLL LssL LssLLsLL | ||
| ssLLsLLL ssLL ssLLsLLL | ||
| sLLsLLLs sLLs sLLsLLLs | ||
| LLsLLLss LLss LLsLLLss | ||
| LsLLLssL LssL LsLLLssL | ||
| sLLLssLL ssLL sLLLssLL | ||
| LLLssLLs sLLs LLLssLLs | ||
| LLss LLssLLsL LLssLLsL | ||
| LssL LssLLsLL LssLLsLL | ||
| ssLL ssLLsLLL ssLLsLLL |
all modes, form 2:
| sLLs sLLLsLLs sLLLsLLs | sLLssLLL sLLssLLL sLLs | |
| LLss LLLsLLss LLLsLLss | LLssLLLs LLssLLLs LLss | |
| LssL LLsLLssL LLsLLssL | LssLLLsL LssLLLsL LssL | |
| ssLL LsLLssLL LsLLssLL | ssLLLsLL ssLLLsLL ssLL | |
| sLLLsLLs sLLLsLLs sLLs | ||
| LLLsLLss LLLsLLss LLss | ||
| LLsLLssL LLsLLssL LssL | ||
| LsLLssLL LsLLssLL ssLL | ||
| sLLssLLL sLLs sLLssLLL | ||
| LLssLLLs LLss LLssLLLs | ||
| LssLLLsL LssL LssLLLsL | ||
| ssLLLsLL ssLL ssLLLsLL | ||
| sLLLsLLs sLLs sLLLsLLs | ||
| LLLsLLss LLss LLLsLLss | ||
| LLsLLssL LssL LLsLLssL | ||
| LsLLssLL ssLL LsLLssLL | ||
| sLLs sLLssLLL sLLssLLL | ||
| LLss LLssLLLs LLssLLLs | ||
| LssL LssLLLsL LssLLLsL | ||
| ssLL ssLLLsLL ssLLLsLL |
all modes, form 3:
| sLsL sLLLsLsL sLLLsLsL | sLsLsLLL sLsLsLLL sLsL | |
| LsLs LLLsLsLs LLLsLsLs | LsLsLLLs LsLsLLLs LsLs | |
| sLsL LLsLsLsL LLsLsLsL | sLsLLLsL sLsLLLsL sLsL | |
| LsLLLsLs LsLLLsLs LsLs | ||
| sLLLsLsL sLLLsLsL sLsL | ||
| LLLsLsLs LLLsLsLs LsLs | ||
| LLsLsLsL LLsLsLsL sLsL | ||
| LsLsLsLL LsLs LsLsLsLL | ||
| sLsLsLLL sLsL sLsLsLLL | ||
| LsLsLLLs LsLs LsLsLLLs | ||
| sLsLLLsL sLsL sLsLLLsL | ||
| LsLLLsLs LsLs LsLLLsLs | ||
| sLLLsLsL sLsL sLLLsLsL | ||
| LLLsLsLs LsLs LLLsLsLs | ||
| LLsLsLsL sLsL LLsLsLsL | ||
| LsLs LsLsLsLL LsLsLsLL | ||
| sLsL sLsLsLLL sLsLsLLL | ||
| LsLs LsLsLLLs LsLsLLLs | ||
| sLsL sLsLLLsL sLsLLLsL | ||
| LsLs LsLLLsLs LsLLLsLs | LsLsLsLL LsLsLsLL LsLs |
