757edo: Difference between revisions
m changed EDO intro to ED intro |
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" |
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== Regular temperament properties == | == Regular temperament properties == | ||
{| class="wikitable center-4 center-5 center-6" | {| class="wikitable center-4 center-5 center-6" | ||
|- | |||
! rowspan="2" | [[Subgroup]] | ! rowspan="2" | [[Subgroup]] | ||
! rowspan="2" | [[Comma list]] | ! rowspan="2" | [[Comma list]] | ||
! rowspan="2" | [[Mapping]] | ! rowspan="2" | [[Mapping]] | ||
! rowspan="2" | Optimal<br>8ve stretch (¢) | ! rowspan="2" | Optimal<br />8ve stretch (¢) | ||
! colspan="2" | Tuning error | ! colspan="2" | Tuning error | ||
|- | |- | ||
! [[TE error|Absolute]] (¢) | ! [[TE error|Absolute]] (¢) | ||
! [[TE simple badness|Relative]] (%) | ! [[TE simple badness|Relative]] (%) | ||
| Line 25: | Line 26: | ||
| {{monzo| 1200 -757 }} | | {{monzo| 1200 -757 }} | ||
| {{mapping| 757 1200 }} | | {{mapping| 757 1200 }} | ||
| | | −0.0917 | ||
| 0.0917 | | 0.0917 | ||
| 5.78 | | 5.78 | ||
| Line 32: | Line 33: | ||
| {{monzo| 24 -21 4 }}, {{monzo| 78 5 -37 }} | | {{monzo| 24 -21 4 }}, {{monzo| 78 5 -37 }} | ||
| {{mapping| 757 1200 1758 }} | | {{mapping| 757 1200 1758 }} | ||
| | | −0.1295 | ||
| 0.0920 | | 0.0920 | ||
| 5.80 | | 5.80 | ||
| Line 39: | Line 40: | ||
| 4375/4374, 67108864/66976875, 282475249/281250000 | | 4375/4374, 67108864/66976875, 282475249/281250000 | ||
| {{mapping| 757 1200 1758 2125 }} | | {{mapping| 757 1200 1758 2125 }} | ||
| | | −0.0735 | ||
| 0.1256 | | 0.1256 | ||
| 7.92 | | 7.92 | ||
| Line 46: | Line 47: | ||
| 4375/4374, 5632/5625, 160083/160000, 5764801/5749920 | | 4375/4374, 5632/5625, 160083/160000, 5764801/5749920 | ||
| {{mapping| 757 1200 1758 2125 2619 }} | | {{mapping| 757 1200 1758 2125 2619 }} | ||
| | | −0.0780 | ||
| 0.1127 | | 0.1127 | ||
| 7.11 | | 7.11 | ||
| Line 53: | Line 54: | ||
=== Rank-2 temperaments === | === Rank-2 temperaments === | ||
{| class="wikitable center-all left-5" | {| class="wikitable center-all left-5" | ||
|+Table of rank-2 temperaments by generator | |+ style="font-size: 105%;" | Table of rank-2 temperaments by generator | ||
! Periods<br>per 8ve | |- | ||
! Periods<br />per 8ve | |||
! Generator* | ! Generator* | ||
! Cents* | ! Cents* | ||
! Associated<br>ratio* | ! Associated<br />ratio* | ||
! Temperaments | ! Temperaments | ||
|- | |- | ||
| Line 66: | Line 68: | ||
| [[Vulture]] | | [[Vulture]] | ||
|} | |} | ||
<nowiki>* | <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 | ||
== Music == | |||
; [[Francium]] | |||
* "developeed" from ''wiloliquy'' (2025) – [https://open.spotify.com/track/1RaOpdvBzCxAED154qb5UT Spotify] | [https://francium223.bandcamp.com/track/developeed Bandcamp] | [https://www.youtube.com/watch?v=rskZavKFwv4 YouTube] – in Vulture, 757edo tuning | |||