431edo: Difference between revisions
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{{Infobox ET}} | {{Infobox ET}} | ||
{{ | {{ED intro}} | ||
== Theory == | == Theory == | ||
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=== Subsets and supersets === | === Subsets and supersets === | ||
431edo is the 83rd [[prime edo]]. | 431edo is the 83rd [[prime edo]]. | ||
== Intervals == | |||
{{Main|Table of 431edo intervals}} | |||
== Regular temperament properties == | == Regular temperament properties == | ||
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| 32805/32768, {{monzo| 7 63 -46 }} | | 32805/32768, {{monzo| 7 63 -46 }} | ||
| {{mapping| 431 683 1001 }} | | {{mapping| 431 683 1001 }} | ||
| | | −0.0230 | ||
| 0.2082 | | 0.2082 | ||
| 7.48 | | 7.48 | ||
| Line 42: | Line 45: | ||
| 2401/2400, 32805/32768, {{monzo| 3 16 -11 -1 }} | | 2401/2400, 32805/32768, {{monzo| 3 16 -11 -1 }} | ||
| {{mapping| 431 683 1001 1210 }} | | {{mapping| 431 683 1001 1210 }} | ||
| | | −0.0299 | ||
| 0.1803 | | 0.1803 | ||
| 6.48 | | 6.48 | ||
| Line 49: | Line 52: | ||
| 2401/2400, 5632/5625, 8019/8000, 43923/43904 | | 2401/2400, 5632/5625, 8019/8000, 43923/43904 | ||
| {{mapping| 431 683 1001 1210 1491 }} | | {{mapping| 431 683 1001 1210 1491 }} | ||
| | | −0.0215 | ||
| 0.1621 | | 0.1621 | ||
| 5.82 | | 5.82 | ||
| Line 56: | Line 59: | ||
| 729/728, 1001/1000, 1716/1715, 4096/4095, 6656/6655 | | 729/728, 1001/1000, 1716/1715, 4096/4095, 6656/6655 | ||
| {{mapping| 431 683 1001 1210 1491 1595 }} | | {{mapping| 431 683 1001 1210 1491 1595 }} | ||
| | | −0.0318 | ||
| 0.1498 | | 0.1498 | ||
| 5.38 | | 5.38 | ||
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| 498.55 | | 498.55 | ||
| 4/3 | | 4/3 | ||
| [[Helmholtz]] | | [[Helmholtz (temperament)|Helmholtz]] | ||
|- | |- | ||
| 1 | | 1 | ||
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| [[Ostara]] | | [[Ostara]] | ||
|} | |} | ||
<nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if | <nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if distinct | ||
== Music == | == Music == | ||
; [[Francium]] | ; [[Francium]] | ||
* "Take Advantage" from ''Take Advantage'' (2024) | * "Take Advantage" from ''Take Advantage'' (2024) – [https://open.spotify.com/track/1mIxaoZYVo7DHLhePsWqmu Spotify] | [https://francium223.bandcamp.com/track/take-advantage Bandcamp] | [https://www.youtube.com/watch?v=CiFES4z6bMM YouTube] | ||
* "Help Me Understand" from ''Abbreviations Gone Wrong'' (2024) | * "Help Me Understand" from ''Abbreviations Gone Wrong'' (2024) – [https://open.spotify.com/track/6AiaohFI5RNNTAVncif4Ob Spotify] | [https://francium223.bandcamp.com/track/help-me-understand Bandcamp] | [https://www.youtube.com/watch?v=wWgIV-MlrSw YouTube] | ||
* "I Will Get You." from ''Random Sentences'' (2025) – [https://open.spotify.com/track/1FkxDVzNv6SuSfB5vc8T5y Spotify] | [https://francium223.bandcamp.com/track/i-will-get-you Bandcamp] | [https://www.youtube.com/watch?v=_jioqFrcwz8 YouTube] – in Nordenmarkic, 431edo tuning | |||
[[Category:Listen]] | [[Category:Listen]] | ||