40ed5: Difference between revisions

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 == Harmonics ==
-{{Harmonics in equal|40|5|1}}
+{{Harmonics in equal|40|5|1|intervals=prime}}
+{{Harmonics in equal|17|2|1|intervals=prime|collapsed=1|title=(17edo for comparison)}}
+== Comparison with 17edo ==
+ed5 has the same scale shape as [[17edo]] but with a ''very compressed'' octave about 16{{c}} flat. This dramatically changes the nature of the tuning:
+* 17edo's strongest simple [[prime]]s are 2, 3, 13 and 23
+* 17edo's weakest are 5, 17 and 29
+* 40ed5's strongest simple primes are 5, 19 and 23
+* 40ed5's weakest are 7, 11 and 17
+* The mappings of prime 5, 11, 13, 17, 19, 23, 29 and 31 are all changed from 17edo
+edo can be thought of as a tuning for either:
+* the no-5s 13-limit (high accuracy for its size)
+* the no-5s no-17s 23-limit (high accuracy for its size)
+ed5 can be thought of as a tuning for either:
+* the full 13-limit (low accuracy for its size)
+* the no-7s no-11s 41-limit (moderate accuracy for its size)
 == Music ==