3079edo: Difference between revisions
Created page with "{{Infobox ET}} {{EDO intro|3079}} == Theory == 3079et is consistent to the 9-odd-limit. The equal temperament tempers out 43046721/43025920, 1220703125/1219784832..." |
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{{Infobox ET}} | {{Infobox ET}} | ||
{{ | {{ED intro}} | ||
== Theory == | == Theory == | ||
3079edo is [[consistent]] to the [[9-odd-limit]]. As an equal temperament, it [[tempering out|tempers out]] [[43046721/43025920]], 1220703125/1219784832 and {{monzo| 51 -13 -1 -10 }} in the 7-limit, [[support]]ing [[acrosextilifourths]]. | |||
=== Prime harmonics === | === Prime harmonics === | ||
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=== Subsets and supersets === | === Subsets and supersets === | ||
3079edo is the 440th [[prime | 3079edo is the 440th [[prime edo]]. | ||
== 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 | |||
| {{monzo|-4880 3079}} | |||
| {{mapping|3079 4880}} | |||
| +0.0122 | |||
| 0.0122 | |||
| 3.13 | |||
|- | |||
| 2.3.5 | |||
| {{monzo| -69 45 -1 }}, {{monzo| -50 -71 70 }} | |||
| {{mapping| 3079 4880 7149 }} | |||
| +0.0203 | |||
| 0.0151 | |||
| 3.87 | |||
|- | |||
| 2.3.5.7 | |||
| 43046721/43025920, 1220703125/1219784832, {{monzo| 51 -13 -1 -10 }} | |||
| {{mapping| 3079 4880 7149 8644 }} | |||
| +0.0099 | |||
| 0.0223 | |||
| 5.72 | |||
|} | |||
=== 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 | |||
| 1278\3079 | |||
| 498.084 | |||
| 4/3 | |||
| [[Counterschismic]] | |||
|} | |||
<nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if distinct | |||
== Music == | |||
; [[Francium]] | |||
* "mfdreamshoppedfashionforyou" from ''albumwithoutspaces'' (2024) – [https://open.spotify.com/track/6paD6q5WZKPjgVW32P81sh Spotify] | [https://francium223.bandcamp.com/track/mfdreamshoppedfashionforyou Bandcamp] | [https://www.youtube.com/watch?v=xPxStKUUpFU YouTube] – acrosextilifourths[13] in 3079edo tuning | |||