367edo: Difference between revisions
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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" | [[Subgroup]] | ||
! rowspan="2" | [[Comma list | ! rowspan="2" | [[Comma list]] | ||
! rowspan="2" | [[Mapping]] | ! rowspan="2" | [[Mapping]] | ||
! rowspan="2" | Optimal<br>8ve | ! rowspan="2" | Optimal<br />8ve stretch (¢) | ||
! colspan="2" | Tuning | ! colspan="2" | Tuning error | ||
|- | |- | ||
! [[TE error|Absolute]] (¢) | ! [[TE error|Absolute]] (¢) | ||
! [[TE simple badness|Relative]] (%) | ! [[TE simple badness|Relative]] (%) | ||
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| {{monzo| 582 -367 }} | | {{monzo| 582 -367 }} | ||
| {{mapping| 367 582 }} | | {{mapping| 367 582 }} | ||
| | | −0.3288 | ||
| 0.3287 | | 0.3287 | ||
| 10.05 | | 10.05 | ||
| Line 41: | Line 42: | ||
| 15625/15552, {{monzo| 102 -57 -5 }} | | 15625/15552, {{monzo| 102 -57 -5 }} | ||
| {{mapping| 367 582 852 }} | | {{mapping| 367 582 852 }} | ||
| | | −0.1500 | ||
| 0.3688 | | 0.3688 | ||
| 11.28 | | 11.28 | ||
| Line 48: | Line 49: | ||
=== 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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| [[Hanson]] | | [[Hanson]] | ||
|} | |} | ||
<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]] | |||
* "Loss" from ''End Of Sartorius Membranes'' (2024) – [https://open.spotify.com/track/0fZfyXdtSonjGHoTSQu5O5 Spotify] | [https://francium223.bandcamp.com/track/loss Bandcamp] | [https://www.youtube.com/watch?v=5UmRUMSzoHM YouTube] | |||
[[Category:Listen]] | |||