OTC 12L 5s: Difference between revisions

Revision as of 02:42, 24 June 2025

Omnitetrachordal MOS scale

17 tones (7+3+7)

Helmholtz / schismatic

P = 3.8459060415 (L=256/243, s=531441/524288)

Q = 29.4213422908 (4/3 = 5L+1.5s)

L = 70.59 to 100.00 cents (90.22 cents @ P, 98.60 cents @ Q)

s = 0.00 to 70.59 cents (23.46 cents @ P, 3.35 cents @ Q)

9/8 = 2L+s (200.00 to 211.76 cents)

4/3 = 5L+2s (494.12 to 500.00 cents)

generator = 4/3

notable EDOs: 29, 41, 46, 53, 65

symmetric mode: LsLLLsLLsLLsLLLsL

all modes:

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

@@ Line 106: / Line 106: @@
 <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:17-tone scales]]
-[[Category:Tempered scales]]
+[[Category:Tempered_scales]]
 [[Category:Pages with mostly numerical content]]
 [[Category:MODMOS]]