40ed5: Difference between revisions
Create page for a tuning I saw used in the wild |
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{{Infobox ET}} | {{Infobox ET}} | ||
{{ED intro}} | {{ED intro}} | ||
== Comparison with 17edo == | |||
40ed5 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 | |||
17edo 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) | |||
40ed5 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) | |||
== Harmonics == | |||
{{Harmonics in equal|40|5|1|intervals=prime}} | |||
{{Harmonics in equal|17|2|1|intervals=prime|collapsed=1|title=(17edo for comparison)}} | |||
== Intervals == | == Intervals == | ||
{{Interval table}} | {{Interval table}} | ||
== Music == | == Music == | ||
* [https://soundcloud.com/merct/escape-yourself ''escape yourself''] - [[Merct]] (2025) | * [https://soundcloud.com/merct/escape-yourself ''escape yourself''] - [[Merct]] (2025) | ||