147edo: Difference between revisions
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Royalmilktea (talk | contribs) prime harmonics |
Use the latest template; sectioning; cleanup; style |
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{{Infobox ET}} | {{Infobox ET}} | ||
{{EDO intro|147}} | |||
== Theory == | |||
147edo [[tempering out|tempers out]] [[32805/32768]] in the [[5-limit]]; [[225/224]] and [[3125/3087]] in the [[7-limit]]; [[243/242]] in the [[11-limit]]; [[364/363]] in the [[13-limit]]; [[442/441]] and [[595/594]] in the [[17-limit]]. It is the [[optimal patent val]] for the 11-limit 41&106 temperament. | |||
{{ | Since 147 = 3 × 7<sup>2</sup>, 147edo has subset edos {{EDOs| 3, 7, 21 and 49 }}. | ||
=== Prime harmonics === | |||
{{Harmonics in equal|147|columns=11}} | |||
== Scales == | == Scales == | ||
* [[baldy6]] | * [[baldy6]] | ||
* [[baldy11]] | * [[baldy11]] | ||
Revision as of 10:01, 9 November 2022
| ← 146edo | 147edo | 148edo → |
(semiconvergent)
Theory
147edo tempers out 32805/32768 in the 5-limit; 225/224 and 3125/3087 in the 7-limit; 243/242 in the 11-limit; 364/363 in the 13-limit; 442/441 and 595/594 in the 17-limit. It is the optimal patent val for the 11-limit 41&106 temperament.
Since 147 = 3 × 72, 147edo has subset edos 3, 7, 21 and 49.
Prime harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.00 | +0.09 | -2.64 | +2.60 | +3.78 | +0.29 | +1.17 | -3.64 | +0.30 | -1.01 | -2.18 |
| Relative (%) | +0.0 | +1.1 | -32.3 | +31.9 | +46.4 | +3.5 | +14.3 | -44.5 | +3.6 | -12.3 | -26.7 | |
| Steps (reduced) |
147 (0) |
233 (86) |
341 (47) |
413 (119) |
509 (68) |
544 (103) |
601 (13) |
624 (36) |
665 (77) |
714 (126) |
728 (140) | |