739edo: Difference between revisions
Created page with "{{Infobox ET}} {{EDO intro|739}} == Theory == 739edo is consistent to the 5-odd-limit. It can be used in the 2.3.5.19.23.29.31.41.43 subgroup, tempering out 2..." |
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" | {| class="wikitable center-4 center-5 center-6" | ||
! rowspan="2" |[[Subgroup]] | |- | ||
! rowspan="2" |[[Comma list|Comma | ! rowspan="2" | [[Subgroup]] | ||
! rowspan="2" |[[Mapping]] | ! rowspan="2" | [[Comma list|Comma list]] | ||
! rowspan="2" |Optimal<br>8ve | ! rowspan="2" | [[Mapping]] | ||
! colspan="2" |Tuning | ! rowspan="2" | Optimal<br />8ve stretch (¢) | ||
! colspan="2" | Tuning error | |||
|- | |- | ||
![[TE error|Absolute]] (¢) | ! [[TE error|Absolute]] (¢) | ||
![[TE simple badness|Relative]] (%) | ! [[TE simple badness|Relative]] (%) | ||
|- | |- | ||
| 2.3 | | 2.3 | ||
| {{monzo|-1171 739}} | | {{monzo|-1171 739}} | ||
| {{mapping|739 1171}} | | {{mapping|739 1171}} | ||
| 0.1472 | | +0.1472 | ||
| 0.1472 | | 0.1472 | ||
| 9.06 | | 9.06 | ||
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| {{monzo|38 -2 -15}}, {{monzo|-35 47 -17}} | | {{monzo|38 -2 -15}}, {{monzo|-35 47 -17}} | ||
| {{mapping|739 1171 1716}} | | {{mapping|739 1171 1716}} | ||
| 0.0759 | | +0.0759 | ||
| 0.1568 | | 0.1568 | ||
| 9.66 | | 9.66 | ||
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=== 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> | ! Associated<br />ratio* | ||
! Temperaments | ! Temperaments | ||
|- | |- | ||
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| [[Luna]] | | [[Luna]] | ||
|} | |} | ||
<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]] | |||
* "Keep Bamboozling" from ''I Want To'' (2025) – [https://open.spotify.com/track/6zRqDmPjPC29QaOHWTFQUQ Spotify] | [https://francium223.bandcamp.com/track/keep-bamboozling Bandcamp] | [https://www.youtube.com/watch?v=JooJ-SivX5w YouTube] – in Luna, 739edo tuning | |||