OTC 7L 11s

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Omnitetrachordal MODMOS scale

7L+11s

18 tones (7+4+7)

sixix?; 2 forms; best for L/s>2

P = 5.968201208

Q1 = 11.2459420535 (4/3 = 3L+3.5s)

Q2 = 0.6904603624 (4/3 = 3L+4.5s)

(Since Q2<1, it does not represent an actual possible tuning; but since it is close to 1, it indicates that low values of L/s are likely to be less than ideal.)

L = 66.67 to 171.43 cents (135.70 cents @ P, 150.41 cents @ Q1)

s = 0.00 to 66.67 cents (22.74 cents @ P, 13.37 cents @ Q1)

9/8 = L+3s (171.43 to 266.67 cents)

4/3 = 3L+4s (466.67 to 514.29 cents)

MOS generator = 2L+3s (333.33 to 342.86 cents)

notable EDOs: 25, 32, 39, 46, 53

LsLssLsLssLsLssLss (MOS, not OTC)

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LLsssLsLLsssLsssLs (OTC MODMOS, form 1) - gc 4,4,3,2; 5o

LsLssLsLssLsLssLss (MOS, not OTC)

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LsssLLsLsssLLsLsss (OTC MODMOS, form 2) - gc 4,4,3,2; 5o

LLsssLsLLsssLsssLs (form 1)

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LsssLLsLsssLLsLsss (form 2)

all modes, form 1:

LLsssLs LLsssLs ssLs
LsssLsL Lsss LsssLsL
sssLsLL sssL sssLsLL
ssLsLLs ssLs ssLsLLs
sLsLLss sLss sLsLLss
LsLLsss Lsss LsLLsss
sLLsssL sssL sLLsssL
LLsssLs ssLs LLsssLs
Lsss LsssLsL LsssLsL
sssL sssLsLL sssLsLL
ssLs ssLsLLs ssLsLLs
sLss sLsLLss sLsLLss
Lsss LsLLsss LsLLsss LsssLsL LsssLsL Lsss
sssL sLLsssL sLLsssL sssLsLL sssLsLL sssL
ssLs LLsssLs LLsssLs ssLsLLs ssLsLLs ssLs
sLsLLss sLsLLss sLss
LsLLsss LsLLsss Lsss
sLLsssL sLLsssL sssL

all modes, form 2:

Lsss LLsLsss LLsLsss LsssLLs LsssLLs Lsss
sssL LsLsssL LsLsssL sssLLsL sssLLsL sssL
ssLLsLs ssLLsLs ssLs
sLLsLss sLLsLss sLss
LLsLsss LLsLsss Lsss
LsLsssL LsLsssL sssL
sLsssLL sLss sLsssLL
LsssLLs Lsss LsssLLs
sssLLsL sssL sssLLsL
ssLLsLs ssLs ssLLsLs
sLLsLss sLss sLLsLss
LLsLsss Lsss LLsLsss
LsLsssL sssL LsLsssL
sLss sLsssLL sLsssLL
Lsss LsssLLs LsssLLs
sssL sssLLsL sssLLsL
ssLs ssLLsLs ssLLsLs
sLss sLLsLss sLLsLss sLsssLL sLsssLL sLss

18_07_11_sssLsLL_sssL_sssLsLL.png

See also