408edo: Difference between revisions
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{{EDO intro|408}} | |||
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[[ | 408edo is in[[consistent]] to the [[5-odd-limit]] and the errors of the lower [[harmonic]]s are all quite large. It is mainly notable for being the [[optimal patent val]] for the [[Logarithmic approximants #Argent temperament|argent temperament]], following [[169edo]], [[70edo]], [[29edo]] and [[12edo]]. | ||
=== Odd harmonics === | |||
{{Harmonics in equal|408|columns=11}} | |||
=== Subsets and supersets === | |||
Since 408 factors into {{factorization|408}}, 408edo has subset edos {{EDOs| 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204 }}. | |||
Revision as of 15:08, 6 November 2023
| ← 407edo | 408edo | 409edo → |
408edo is inconsistent to the 5-odd-limit and the errors of the lower harmonics are all quite large. It is mainly notable for being the optimal patent val for the argent temperament, following 169edo, 70edo, 29edo and 12edo.
Odd harmonics
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.99 | -1.02 | -1.18 | -0.97 | -1.32 | +0.65 | -0.03 | +0.93 | -0.45 | -0.19 | +1.14 |
| Relative (%) | +33.5 | -34.7 | -40.1 | -32.9 | -44.8 | +22.1 | -1.1 | +31.5 | -15.4 | -6.6 | +38.7 | |
| Steps (reduced) |
647 (239) |
947 (131) |
1145 (329) |
1293 (69) |
1411 (187) |
1510 (286) |
1594 (370) |
1668 (36) |
1733 (101) |
1792 (160) |
1846 (214) | |
Subsets and supersets
Since 408 factors into 23 × 3 × 17, 408edo has subset edos 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204.