147edo: Difference between revisions
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Use the latest template; sectioning; cleanup; style |
Link to the 41 & 106 temp; sectioning; style |
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== Theory == | == 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 | 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 11-limit [[karadeniz]], the 41 & 106 temperament. | ||
=== Prime harmonics === | === Prime harmonics === | ||
{{Harmonics in equal|147|columns=11}} | {{Harmonics in equal|147|columns=11}} | ||
=== Miscellaneous properties === | |||
Since 147 = 3 × 7<sup>2</sup>, 147edo has subset edos {{EDOs| 3, 7, 21 and 49 }}. | |||
== Scales == | == Scales == | ||
* [[ | * [[Baldy6]] | ||
* [[ | * [[Baldy11]] | ||
* [[ | * [[Baldy17]] | ||
[[Category:147edo| ]] <!-- main arcticle --> | [[Category:147edo| ]] <!-- main arcticle --> | ||
[[Category:Equal divisions of the octave|###]] <!-- 3-digit number --> | [[Category:Equal divisions of the octave|###]] <!-- 3-digit number --> | ||
[[Category:Baldy]] | [[Category:Baldy]] | ||
Revision as of 10:04, 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 11-limit karadeniz, the 41 & 106 temperament.
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) | |
Miscellaneous properties
Since 147 = 3 × 72, 147edo has subset edos 3, 7, 21 and 49.