OTC 12L 2s: Difference between revisions

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<ul><li>Noted as omnitetrachordal by Paul Erlich no later than 2002. See tuning-math list messages [http://robertinventor.com/tuning-math/s___4/msg_3675-3699.html#3685 3685] and [http://robertinventor.com/tuning-math/s__11/msg_10975-10999.html#10987 10987].</li></ul>
<ul><li>Noted as omnitetrachordal by Paul Erlich no later than 2002. See tuning-math list messages [http://robertinventor.com/tuning-math/s___4/msg_3675-3699.html#3685 3685] and [http://robertinventor.com/tuning-math/s__11/msg_10975-10999.html#10987 10987].</li></ul>
[[Category:14-tone scales]]
[[Category:14-tone scales]]
[[Category:Tempered_scales]]
[[Category:Tempered scales]]
[[Category:Pages with mostly numerical content]]
[[Category:Pages with mostly numerical content]]
[[Category:MODMOS]]
[[Category:MODMOS]]
[[Category:Omnitetrachordal]]
[[Category:Omnitetrachordal]]
[[Category:Injera]]
[[Category:Injera]]

Latest revision as of 03:02, 24 June 2025

Omnitetrachordal MODMOS scale

12L+2s

14 tones (6+2+6)

Injera MODMOS. Imperfect (P<0); best for L/s >= 1.5

P = -8.6918120831

Q = 16.8836241662 (4/3 = 5L+0.5s)

L = 85.71 to 100.00 cents (99.02 cents @ Q)

s = 0.00 to 85.71 cents (5.87 cents @ Q)

9/8 = 2L (171.43 to 200.00 cents)

4/3 = 5L+s (500.00 to 514.28 cents)

MOS generator = L (85.7 to 100.0 cents)

MOS period = 1/2 octave (600.00 cents)

notable EDOs: 26, 38, 40, 50

LLLLLLsLLLLLLs (MOS, not OTC)

      ||      

LLLLLLLsLLLLLs (OTC MODMOS) - gc 8,6

all modes:

LL LLLLLs LLLLLs
LL LLLLsL LLLLsL
LL LLLsLL LLLsLL LLLLLs LLLLLs LL
LL LLsLLL LLsLLL LLLLsL LLLLsL LL
LL LsLLLL LsLLLL LLLsLL LLLsLL LL
LL sLLLLL sLLLLL LLsLLL LLsLLL LL
LsLLLL LsLLLL LL
sLLLLL sLLLLL LL
LLLLLs LL LLLLLs
LLLLsL LL LLLLsL
LLLsLL LL LLLsLL
LLsLLL LL LLsLLL
LsLLLL LL LsLLLL
sLLLLL LL sLLLLL

14_12_02_sLLLLL_LL_sLLLLL.png

See also

References

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