147edo: Difference between revisions

Approximation of prime harmonics in 147edo
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
Error	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)

Since 147 = 3 × 7², 147edo has subset edos 3, 7, 21 and 49.

Scales

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 == Theory ==
-edo [[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 &amp; 106 temperament.
+edo has a very accurate fifth. Using the [[patent val]], the equal temperament [[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 &amp; 106 temperament.
 === Prime harmonics ===
-{{Harmonics in equal|147|columns=11}}
+{{Harmonics in equal|147}}
-=== Miscellaneous properties ===
+=== Subsets and supersets ===
 Since 147 = 3 × 7<sup>2</sup>, 147edo has subset edos {{EDOs| 3, 7, 21 and 49 }}.
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 * [[Baldy17]]
-[[Category:147edo| ]] <!-- main arcticle -->
-[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->
 [[Category:Baldy]]