OTC 10L 2s: Difference between revisions

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[[Category:12-tone scales]]
[[Category:12-tone scales]]
[[Category:Tempered scales]]
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[[Category:MODMOS]]
[[Category:MODMOS]]
[[Category:Omnitetrachordal]]
[[Category:Omnitetrachordal]]
[[Category:Pajara]]
[[Category:Pajara]]

Latest revision as of 03:05, 24 June 2025

Omnitetrachordal MODMOS scale

10L+2s

12 tones (5+2+5)

Pajara MODMOS. Good for most any ratio of L to s.

P = 1.1300083763

L = 100.00 to 120.00 cents (101.95 cents @ P)

s = 0.00 to 100.00 cents (90.23 cents @ P)

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

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

MOS generator = L (100.00 to 120.00 cents)

MOS period = 1/2 octave (600.00 cents)

notable EDOs: 22, 32, 34, 46

LLLLLsLLLLLs (MOS)

     ||     

LLLLLLsLLLLs (OTC MODMOS) - gc 7,5

symmetric modes:

LLLsLLLLsLLL

LLsLLLLLLsLL

all modes:

LL LLLLs LLLLs
LL LLLsL LLLsL
LL LLsLL LLsLL LLLLs LLLLs LL
LL LsLLL LsLLL LLLsL LLLsL LL
LL sLLLL sLLLL LLsLL LLsLL LL
LsLLL LsLLL LL
sLLLL sLLLL LL
LLLLs LL LLLLs
LLLsL LL LLLsL
LLsLL LL LLsLL
LsLLL LL LsLLL
sLLLL LL sLLLL

12_10_02_LLsLL_LL_LLsLL.png

See also

References

  • Noted as omnitetrachordal by Paul Erlich no later than 2002. See tuning-math list messages 3685 and 10987.