122edo: Difference between revisions
Jump to navigation
Jump to search
m Bypass redirect. |
m Replace deprecated template |
||
| Line 3: | Line 3: | ||
122 is flat in tendency, with the odd primes from 3 to 13 tuned flat. 122 = 2 * [[61edo|61]]. 122=[[55edo|55]]+[[67edo|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. | 122 is flat in tendency, with the odd primes from 3 to 13 tuned flat. 122 = 2 * [[61edo|61]]. 122=[[55edo|55]]+[[67edo|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. | ||
{{ | {{harmonics in equal|122}} | ||
[[Category:Equal divisions of the octave|###]] <!-- 3-digit number --> | [[Category:Equal divisions of the octave|###]] <!-- 3-digit number --> | ||
[[Category:Meantone]] | [[Category:Meantone]] | ||
Revision as of 07:46, 25 January 2024
| ← 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 (%) | -36.5 | -27.5 | -49.7 | +26.9 | -5.1 | -45.4 | +35.9 | +33.0 | -24.7 | +13.7 | +12.5 | |
| Steps (reduced) |
193 (71) |
283 (39) |
342 (98) |
387 (21) |
422 (56) |
451 (85) |
477 (111) |
499 (11) |
518 (30) |
536 (48) |
552 (64) | |