OTC 2L 8s: Difference between revisions
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m Text replacement - "Category:Tempered scales" to "Category:Tempered scales Category:Pages with mostly numerical content" |
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:10-tone scales]] | [[Category:10-tone scales]] | ||
[[Category: | [[Category:Tempered_scales]] | ||
[[Category:Pages with mostly numerical content]] | [[Category:Pages with mostly numerical content]] | ||
[[Category:MODMOS]] | [[Category:MODMOS]] | ||
[[Category:Omnitetrachordal]] | [[Category:Omnitetrachordal]] | ||
[[Category:Pajara]] | [[Category:Pajara]] |
Revision as of 02:39, 24 June 2025
Omnitetrachordal MODMOS scale
10 tones (4+2+4)
Pajara MODMOS. Best at lower ratios of L/s.
P = 1.8849491924
Q = 4.8274237885 (4/3 = L+2.5s)
L = 120.00 to 600.00 cents (192.18 cents @ P, 328.12 cents @ Q)
s = 0.00 to 120.00 cents (101.96 cents @ P, 67.97 cents @ Q)
9/8 = 2s (0.00 to 240.00 cents)
4/3 = L+3s (480.00 to 600.00 cents)
MOS generator = s (0.00 to 120.00 cents)
MOS period = 1/2 octave (600.00 cents)
notable EDOs: 12, 14, 16, 22, 26
LssssLssss (MOS, not OTC)
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LsssssLsss (OTC MODMOS) - gen chains 6,4
modes:
sssL ss sssL | Standard Pentachordal Minor | ||
ssLs ss ssLs | - | ||
sLss ss sLss | Alternate Pentachordal Major | ||
Lsss ss Lsss | - | ||
ss sssL sssL | - | ||
ss ssLs ssLs | Alternate Pentachordal Minor | ||
ss sLss sLss | sssL sssL ss | - | |
ss Lsss Lsss | ssLs ssLs ss | Standard Pentachordal Major | |
sLss sLss ss | - | ||
Lsss Lsss ss | - |
(The names of the modes are Paul Erlich's - see http://lumma.org/tuning/erlich/erlich-decatonic.pdf.)