733edo: Difference between revisions
m Add to category “Luna” |
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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{{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 List]] | ! rowspan="2" | [[Subgroup]] | ||
! rowspan="2" |[[Mapping]] | ! rowspan="2" | [[Comma list|Comma List]] | ||
! rowspan="2" |Optimal<br>8ve | ! rowspan="2" | [[Mapping]] | ||
! colspan="2" |Tuning Error | ! 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|1162 -733}} | | {{monzo|1162 -733}} | ||
| {{mapping|733 1162}} | | {{mapping|733 1162}} | ||
| | | −0.1149 | ||
| 0.1149 | | 0.1149 | ||
| 7.02 | | 7.02 | ||
| Line 32: | Line 33: | ||
| {{monzo|38 -2 -15}}, {{monzo|42 -47 14}} | | {{monzo|38 -2 -15}}, {{monzo|42 -47 14}} | ||
| {{mapping|733 1162 1702}} | | {{mapping|733 1162 1702}} | ||
| | | −0.0829 | ||
| 0.1042 | | 0.1042 | ||
| 6.36 | | 6.36 | ||
| Line 39: | Line 40: | ||
| 420175/419904, 67108864/66976875, 48828125/48771072 | | 420175/419904, 67108864/66976875, 48828125/48771072 | ||
| {{mapping|733 1162 1702 2058}} | | {{mapping|733 1162 1702 2058}} | ||
| | | −0.0926 | ||
| 0.0918 | | 0.0918 | ||
| 5.61 | | 5.61 | ||
| Line 46: | Line 47: | ||
| 3025/3024, 19712/19683, 180224/180075, 1953125/1951488 | | 3025/3024, 19712/19683, 180224/180075, 1953125/1951488 | ||
| {{mapping|733 1162 1702 2058 2536}} | | {{mapping|733 1162 1702 2058 2536}} | ||
| | | −0.0965 | ||
| 0.0824 | | 0.0824 | ||
| 5.03 | | 5.03 | ||
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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]] | |||
* "Slow Down Or Die" from ''I Want To'' (2025) – [https://open.spotify.com/track/2vzrMXihetN2DhUWBLUcZs Spotify] | [https://francium223.bandcamp.com/track/slow-down-or-die Bandcamp] | [https://www.youtube.com/watch?v=7lPwEesZbsI YouTube] | |||
[[Category:Luna]] | [[Category:Luna]] | ||