431edo: Difference between revisions

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Music: +music
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== Regular temperament properties ==
== Regular temperament properties ==
{| class="wikitable center-4 center-5 center-6"
{{comma basis begin}}
! rowspan="2" | [[Subgroup]]
! rowspan="2" | [[Comma list|Comma List]]
! rowspan="2" | [[Mapping]]
! rowspan="2" | Optimal<br>8ve Stretch (¢)
! colspan="2" | Tuning Error
|-
! [[TE error|Absolute]] (¢)
! [[TE simple badness|Relative]] (%)
|-
|-
| 2.3
| 2.3
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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
| &minus;0.0230
| 0.2082
| 0.2082
| 7.48
| 7.48
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| 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
| &minus;0.0299
| 0.1803
| 0.1803
| 6.48
| 6.48
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| 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
| &minus;0.0215
| 0.1621
| 0.1621
| 5.82
| 5.82
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| 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
| &minus;0.0318
| 0.1498
| 0.1498
| 5.38
| 5.38
|}
{{comma basis end}}


=== Rank-2 temperaments ===
=== Rank-2 temperaments ===
{| class="wikitable center-all left-5"
{{rank-2 begin}}
|+Table of rank-2 temperaments by generator
! Periods<br>per 8ve
! Generator*
! Cents*
! Associated<br>Ratio*
! Temperaments
|-
|-
| 1
| 1
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| 19/14
| 19/14
| [[Ostara]]
| [[Ostara]]
|}
{{rank-2 end}}
<nowiki>*</nowiki> [[Normal lists|octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if it is distinct
{{orf}}


== Music ==
== Music ==
; [[Francium]]
; [[Francium]]
* "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]
* "Take Advantage" from ''Take Advantage'' (2024) &ndash; [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) [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]
* "Help Me Understand" from ''Abbreviations Gone Wrong'' (2024) &ndash; [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]
 
[[Category:Listen]]