OTC 2L 3s: Difference between revisions
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===References=== | ===References=== | ||
<ul><li>(1) 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>(1) 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:5-tone scales]] | |||
[[Category:Tempered scales]] | |||
[[Category:MODMOS]] | |||
[[Category:Omnitetrachordal]] | |||
[[Category:Superpyth]] | |||
[[Category:Pythagorean]] | |||
[[Category:Meantone]] | |||
[[Category:Mavila]] | |||
Revision as of 04:26, 2 May 2023
Omnitetrachordal MOS scale
5 tones (2+1+2)
The classic pentatonic scale. Can include superpyth, Pythagorean, meantone, and mavila tunings. (1)
P = 1.4424745962 (L=32/27, s=9/8)
Q = 4.3849491924 (4/3 = L+0.5s)
L = 240.00 to 600.00 cents (294.13 cents @ P, 447.07 cents @ Q)
s = 0.00 to 240.00 cents (203.91 cents @ P, 101.96 cents @ Q)
9/8 = s (0.00 to 240.00 cents)
4/3 = L+s (480.00 to 600.00 cents)
generator = 4/3
notable EDOs: 7, 9, 12, 16, 17, 19, 22, 26, 29, 31
symmetric mode: sLsLs
all modes:
| sL s sL | 1|3 | ||
| Ls s Ls | 3|1 | ||
| s sL sL | 0|4 | ||
| s Ls Ls | sL sL s | 2|2 | |
| Ls Ls s | 4|0 |
