4231edo: Difference between revisions
Jump to navigation
Jump to search
+music |
m Misc. cleanup. - redundant category |
||
| (2 intermediate revisions by one other user not shown) | |||
| Line 1: | Line 1: | ||
{{Infobox ET}} | {{Infobox ET}} | ||
{{ | {{ED intro}} | ||
== Theory == | |||
4231edo is a [[zeta peak integer edo]]. Like the previous zeta peak integer edo [[3566edo]], it [[tempering out|tempers out]] the [[lakisma]] and the [[monzisma]]. | |||
=== Prime harmonics === | === Prime harmonics === | ||
{{Harmonics in equal|4231 | {{Harmonics in equal|4231}} | ||
== Music == | == Music == | ||
; [[Francium]] | ; [[Francium]] | ||
* "vividness" from ''The Scallop Disco Accident'' (2025) – [https://open.spotify.com/track/60z5dBglJpXud5PfalpxRf Spotify] | [https://francium223.bandcamp.com/track/vividness Bandcamp] | [https://www.youtube.com/watch?v=miycBcEjCxM YouTube] – | * "vividness" from ''The Scallop Disco Accident'' (2025) – [https://open.spotify.com/track/60z5dBglJpXud5PfalpxRf Spotify] | [https://francium223.bandcamp.com/track/vividness Bandcamp] | [https://www.youtube.com/watch?v=miycBcEjCxM YouTube] | ||
* "That Bird Ate My Eggs" from ''Eggs'' (2025) – [https://open.spotify.com/track/5t2etjDhbqgGfMZQdMvChd Spotify] | [https://francium223.bandcamp.com/track/that-bird-ate-my-eggs Bandcamp] | [https://www.youtube.com/watch?v=9IS_msX76Gs YouTube] | |||
[[ | |||
Latest revision as of 16:50, 2 October 2025
| ← 4230edo | 4231edo | 4232edo → |
4231 equal divisions of the octave (abbreviated 4231edo or 4231ed2), also called 4231-tone equal temperament (4231tet) or 4231 equal temperament (4231et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 4231 equal parts of about 0.284 ¢ each. Each step represents a frequency ratio of 21/4231, or the 4231st root of 2.
Theory
4231edo is a zeta peak integer edo. Like the previous zeta peak integer edo 3566edo, it tempers out the lakisma and the monzisma.
Prime harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.000 | +0.007 | -0.022 | +0.023 | +0.041 | +0.125 | -0.016 | +0.005 | -0.054 | -0.033 | -0.058 |
| Relative (%) | +0.0 | +2.4 | -7.8 | +8.1 | +14.5 | +44.0 | -5.5 | +1.9 | -19.1 | -11.8 | -20.5 | |
| Steps (reduced) |
4231 (0) |
6706 (2475) |
9824 (1362) |
11878 (3416) |
14637 (1944) |
15657 (2964) |
17294 (370) |
17973 (1049) |
19139 (2215) |
20554 (3630) |
20961 (4037) | |