122edo
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Prime factorization
2 × 61
Step size
9.83607¢
Fifth
71\122 (698.361¢)
Semitones (A1:m2)
9:11 (88.52¢ : 108.2¢)
Dual sharp fifth
72\122 (708.197¢) (→36\61)
Dual flat fifth
71\122 (698.361¢)
Dual major 2nd
21\122 (206.557¢)
Consistency limit
7
Distinct consistency limit
7
| ← 121edo | 122edo | 123edo → |
122edo is the equal division of the octave into 122 parts of 9.836 cents each. It is the optimal patent val for 7-limit tritonic temperament and 11-limit tritoni temperament, and the planar squalentine temperament. It tempers out 78732/78125 in the 5-limit, 225/224 in the 7-limit, 385/384 and 4000/3993 in the 11-limit, and 351/350 and 364/363 in the 13-limit.
122 is flat in tendency, with the odd primes from 3 to 13 tuned flat. 122 = 2 * 61. 122=55+67, and so using the c val it is the convergent towards 1/6-comma meantone, with a fifth just a hundredth of a cent flatter.
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | absolute (¢) | -3.59 | -2.71 | -4.89 | +2.65 | -0.50 | -4.46 | +3.53 | +3.24 | -2.43 | +1.35 | +1.23 |
| relative (%) | -37 | -28 | -50 | +27 | -5 | -45 | +36 | +33 | -25 | +14 | +13 | |
| Steps (reduced) |
193 (71) |
283 (39) |
342 (98) |
387 (21) |
422 (56) |
451 (85) |
477 (111) |
499 (11) |
518 (30) |
536 (48) |
552 (64) | |