OTC 5L 2s

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Omnitetrachordal MOS scale

5L+2s

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

07_05_02_LsL_L_Ls.png

See also

References

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