OTC 5L 2s: 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:7-tone scales]] | |||
[[Category:Tempered scales]] | |||
[[Category:MODMOS]] | |||
[[Category:Omnitetrachordal]] | |||
[[Category:Meantone]] | |||
[[Category:Pythagorean]] | |||
[[Category:Superpyth]] | |||
Revision as of 04:36, 2 May 2023
Omnitetrachordal MOS scale
7 tones (3+1+3)
The classic diatonic scale (meantone, Pythagorean, superpyth). (1)
P = 2.2600167527 (L=9/8, s=256/243)
L = 171.43 to 240.00 cents (203.91 cents @ P)
s = 0.00 to 171.43 cents (90.22 cents @ P)
9/8 = L (171.43 to 240.00 cents)
4/3 = 2L+s (480.00 to 514.29 cents)
generator = 3L+s (685.71 to 720.00 cents)
notable EDOs: 12, 17, 19, 22, 26, 29, 31, etc.
symmetric mode: LsLLLsL
all modes:
| LLs L LLs | Ionian | 5|1 | ||
| LsL L LsL | Dorian | 3|3 | ||
| sLL L sLL | Phrygian | 1|5 | ||
| L LLs LLs | Lydian | 6|0 | ||
| L LsL LsL | LLs LLs L | Mixolydian | 4|2 | |
| L sLL sLL | LsL LsL L | Aeolian | 2|4 | |
| sLL sLL L | Locrian | 0|6 |
all modes in UDP order:
| L LLs LLs | Lydian | 6|0 | ||
| LLs L LLs | Ionian | 5|1 | ||
| L LsL LsL | LLs LLs L | Mixolydian | 4|2 | |
| LsL L LsL | Dorian | 3|3 | ||
| L sLL sLL | LsL LsL L | Aeolian | 2|4 | |
| sLL L sLL | Phrygian | 1|5 | ||
| sLL sLL L | Locrian | 0|6 |
