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 |