453edo: Difference between revisions
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m Infobox ET added |
Cleanup; +prime error table; +subsets and supersets |
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{{Infobox ET}} | {{Infobox ET}} | ||
{{EDO intro|453}} | |||
[[ | The equal temperament tempers out 1224440064/1220703125 ([[parakleisma]]) and {{monzo| 54 -37 2 }} ([[monzisma]]) in the 5-limit; [[250047/250000]], 589824/588245, and 2460375/2458624 in the 7-limit; [[3025/3024]], [[5632/5625]], 24057/24010, and 102487/102400 in the 11-limit; [[676/675]], [[1001/1000]], [[4096/4095]], [[6656/6655]], and 16848/16807 in the 13-limit, so that it [[support]]s the [[Very high accuracy temperaments|monzismic temperament]]. | ||
=== Prime harmonics === | |||
{{Harmonics in equal|453}} | |||
=== Subsets and supersets === | |||
453edo has subset edos {{EDOs| 3 and 151 }}. | |||
Revision as of 04:06, 16 June 2023
| ← 452edo | 453edo | 454edo → |
The equal temperament tempers out 1224440064/1220703125 (parakleisma) and [54 -37 2⟩ (monzisma) in the 5-limit; 250047/250000, 589824/588245, and 2460375/2458624 in the 7-limit; 3025/3024, 5632/5625, 24057/24010, and 102487/102400 in the 11-limit; 676/675, 1001/1000, 4096/4095, 6656/6655, and 16848/16807 in the 13-limit, so that it supports the monzismic temperament.
Prime harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.00 | +0.03 | +0.44 | +0.71 | -0.32 | -0.79 | +1.00 | -0.82 | -0.46 | +0.89 | -0.66 |
| Relative (%) | +0.0 | +1.2 | +16.7 | +26.8 | -12.3 | -29.9 | +37.9 | -31.1 | -17.4 | +33.5 | -25.1 | |
| Steps (reduced) |
453 (0) |
718 (265) |
1052 (146) |
1272 (366) |
1567 (208) |
1676 (317) |
1852 (40) |
1924 (112) |
2049 (237) |
2201 (389) |
2244 (432) | |