673edo: 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" Tags: Mobile edit Mobile web edit |
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{{Infobox ET}} | {{Infobox ET}} | ||
{{ | {{ED intro}} | ||
== Theory == | == Theory == | ||
| Line 12: | Line 12: | ||
== Regular temperament properties == | == Regular temperament properties == | ||
{ | {| class="wikitable center-4 center-5 center-6" | ||
|- | |||
! rowspan="2" | [[Subgroup]] | |||
! rowspan="2" | [[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 | ||
| {{monzo|1067 -673}} | | {{monzo|1067 -673}} | ||
| {{mapping|673 1067}} | | {{mapping|673 1067}} | ||
| | | −0.1801 | ||
| 0.1801 | | 0.1801 | ||
| 10.10 | | 10.10 | ||
| Line 24: | Line 33: | ||
| {{monzo|32 -7 -9}}, {{monzo|19 -53 28}} | | {{monzo|32 -7 -9}}, {{monzo|19 -53 28}} | ||
| {{mapping|673 1067 1563}} | | {{mapping|673 1067 1563}} | ||
| | | −0.2077 | ||
| 0.1521 | | 0.1521 | ||
| 8.53 | | 8.53 | ||
|} | |||
=== Rank-2 temperaments === | === Rank-2 temperaments === | ||
{ | {| class="wikitable center-all left-5" | ||
|+ style="font-size: 105%;" | Table of rank-2 temperaments by generator | |||
|- | |||
! Periods<br />per 8ve | |||
! Generator* | |||
! Cents* | |||
! Associated<br />ratio* | |||
! Temperaments | |||
|- | |- | ||
| 1 | | 1 | ||
| Line 37: | Line 53: | ||
| 16875/16384 | | 16875/16384 | ||
| [[Escapade]] | | [[Escapade]] | ||
|} | |||
<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 == | == Music == | ||
; [[Francium]] | ; [[Francium]] | ||
* "They Unraveled" from ''Scoop'' (2024) – [https://open.spotify.com/track/2VjnkDBShyJekqv4tv7HA8 Spotify] | [https://francium223.bandcamp.com/track/they-unraveled Bandcamp] | [https://www.youtube.com/watch?v=yQCfdPObfKI YouTube] | * "They Unraveled" from ''Scoop'' (2024) – [https://open.spotify.com/track/2VjnkDBShyJekqv4tv7HA8 Spotify] | [https://francium223.bandcamp.com/track/they-unraveled Bandcamp] | [https://www.youtube.com/watch?v=yQCfdPObfKI YouTube] | ||