OTC 12L 3s

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Omnitetrachordal MODMOS scale

12L+3s

15 tones (6+3+6)

temperament: augmented

P = 12.5377181246

Q = 38.1131543739 (4/3 = 5L+0.5s)

L = 80.00 to 100.00 cents (98.04 cents @ P, 99.35 cents @ Q)

s = 0.00 to 80.00 cents (7.82 cents @ P, 2.61 cents @ Q)

9/8 = 2L+s (200.00 to 240.00 cents)

4/3 = 5L+s (480.00 to 500.00 cents)

MOS generator = L (80.0 to 100.0 cents)

MOS period = 1/3 octave (400.00 cents)

notable EDOs: 27, 39, 51

LLLLsLLLLsLLLLs (MOS, not OTC) - gen chains 5,5,5; per chains 3,3,3,3,3; 3/2 chains 5,5,5

    ||  ||     

LLLLLsLLsLLLLLs (OTC MODMOS) - gen chains 6,6,3; per chains 3,3,3,2,2; 3/2 chains 5,5,5

symmetric mode: LsLLLLLsLLLLLsL

all modes:

LLs LLLLLs LLLLLs LLsLLL LLsLLL LLs
LsL LLLLsL LLLLsL LsLLLL LsLLLL LsL
sLL LLLsLL LLLsLL sLLLLL sLLLLL sLL
LLLLLs LLLLLs LLs
LLLLsL LLLLsL LsL
LLLsLL LLLsLL sLL
LLsLLL LLs LLsLLL
LsLLLL LsL LsLLLL
sLLLLL sLL sLLLLL
LLLLLs LLs LLLLLs
LLLLsL LsL LLLLsL
LLLsLL sLL LLLsLL
LLs LLsLLL LLsLLL
LsL LsLLLL LsLLLL
sLL sLLLLL sLLLLL

15_12_03_LLLLLs_LLs_LLLLLs.png

See also