OTC 7L 5s: Difference between revisions
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m Text replacement - "Category:Tempered scales↵Category:Pages with mostly numerical content" to "Category:Tempered_scales Category:Pages with mostly numerical content" Tag: Reverted |
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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:12-tone scales]] | [[Category:12-tone scales]] | ||
[[Category: | [[Category:Tempered scales]] | ||
[[Category:Pages with mostly numerical content]] | [[Category:Pages with mostly numerical content]] | ||
[[Category:MODMOS]] | [[Category:MODMOS]] | ||
Latest revision as of 03:11, 24 June 2025
Omnitetrachordal MOS scale
12 tones (5+2+5)
MOS of the meantone and flattone temperaments (slightly flat 3/2). Imperfect, but very usable at any L/s ratio. Many modes may be pentachordally split in two ways.
P = 0.7936402416
Q = 6.0713810872 (4/3 = 3L+1.5s)
L = 100.00 to 171.43 cents (153.38 cents @ Q)
s = 0.00 to 100.00 cents (25.26 cents @ Q)
9/8 = L+s (171.43 to 200.00 cents)
4/3 = 3L+2s (500.00 to 514.29 cents)
generator = 4/3
notable EDOs: 19, 26, 31, 33, 43, 45, 50, etc.
all modes:
| sLLsL sL sLLsL | ||
| LLsLs Ls LLsLs | ||
| Ls LsLsL LsLsL | LsLsL sL LsLsL | |
| sL sLsLL sLsLL | ||
| Ls LsLLs LsLLs | LsLsL LsLsL Ls | |
| sL sLLsL sLLsL | sLsLL sLsLL sL | |
| Ls LLsLs LLsLs | LsLLs LsLLs Ls | |
| sL LsLsL LsLsL | sLLsL sLLsL sL | |
| LLsLs LLsLs Ls | ||
| LsLsL Ls LsLsL | LsLsL LsLsL sL | |
| sLsLL sL sLsLL | ||
| LsLLs Ls LsLLs |
