331edo: Difference between revisions
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m Text replacement - "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct" to "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct" Tags: Mobile edit Mobile web edit |
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{{Infobox ET}} | {{Infobox ET}} | ||
{{ | {{ED intro}} | ||
== Theory == | == Theory == | ||
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== Regular temperament properties == | == Regular temperament properties == | ||
{ | {| class="wikitable center-4 center-5 center-6" | ||
|- | |||
! rowspan="2" | [[Subgroup]] | |||
! rowspan="2" | [[Comma list]] | |||
! rowspan="2" | [[Mapping]] | |||
! rowspan="2" | Optimal<br />8ve stretch (¢) | |||
! colspan="2" | Tuning error | |||
|- | |||
! [[TE error|Absolute]] (¢) | |||
! [[TE simple badness|Relative]] (%) | |||
|- | |- | ||
| 2.9 | | 2.9 | ||
| {{monzo| -1049 331 }} | | {{monzo| -1049 331 }} | ||
| {{mapping| 331 1049 }} | | {{mapping| 331 1049 }} | ||
| 0.1402 | | +0.1402 | ||
| 0.1402 | | 0.1402 | ||
| 3.87 | | 3.87 | ||
| Line 57: | Line 66: | ||
| 0.1537 | | 0.1537 | ||
| 4.24 | | 4.24 | ||
|} | |||
=== Rank-2 temperaments === | === Rank-2 temperaments === | ||
{ | {| class="wikitable center-all left-5" | ||
|+ style="font-size: 105%;" | Table of rank-2 temperaments by generator | |||
|- | |||
! Periods<br />per 8ve | |||
! Generator* | |||
! Cents* | |||
! Associated<br />ratio* | |||
! Temperaments | |||
|- | |- | ||
| 1 | | 1 | ||
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| 5/4 | | 5/4 | ||
| [[Würschmidt]] (331, 5-limit) | | [[Würschmidt]] (331, 5-limit) | ||
|} | |||
<nowiki />* [[Normal forms #Equave-reduced-generator form|Octave-reduced form]], reduced to the first half-octave, and [[normal forms #Minimal-generator form|minimal form]] in parentheses if distinct | |||
== Scales == | == Scales == | ||
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== Music == | == Music == | ||
; [[User:Francium|Francium]] | ; [[User:Francium|Francium]] | ||
* "Silent Silence" from ''Edson EP'' (2023) | * "Silent Silence" from ''Edson EP'' (2023) – [https://open.spotify.com/track/6q3xr4E4QIL9BMaZyf6LXd Spotify] | [https://francium223.bandcamp.com/track/silent-silence Bandcamp] | [https://www.youtube.com/watch?v=g3FF6oqnilk YouTube] – in Edson, 331edo tuning | ||
* "Moth Mustard" from ''Unsuspecting Tyrant Double-Decker Beef Fort'' (2026) – [https://open.spotify.com/track/6M1I3YWmWvHM5bnMUz4bYg Spotify] | [https://francium223.bandcamp.com/track/moth-mustard Bandcamp] | [https://www.youtube.com/watch?v=arg4hjvpeuY YouTube] | |||
[[Category:Listen]] | [[Category:Listen]] | ||