379edo: Difference between revisions
Created page with "{{Infobox ET}} {{EDO intro|379}} It is the 75th prime edo. == Theory == 379 tempers out 4096000/4084101, 5120/5103 and 2401/2400 in the 7-limit; 2097152/2096325, 1..." |
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{{Infobox ET}} | {{Infobox ET}} | ||
{{ | {{ED intro}} | ||
== Theory == | == Theory == | ||
Using the [[patent val]], the equal temperament [[tempering out|tempers out]] [[2401/2400]], [[5120/5103]], and [[10976/10935]] in the 7-limit; [[5632/5625]], [[6250/6237]], [[14641/14580]], 42875/42768, and 43923/43904 in the 11-limit. It [[support]]s [[hemififths]] and [[subneutral]]. | |||
=== Odd harmonics === | |||
{{Harmonics in equal|379}} | {{Harmonics in equal|379}} | ||
==Scales== | |||
=== Subsets and supersets === | |||
379edo is the 75th [[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| 601 -379 }} | |||
| {{mapping| 379 601 }} | |||
| −0.2989 | |||
| 0.2988 | |||
| 9.43 | |||
|- | |||
| 2.3.5 | |||
| {{monzo| 35 -25 2 }}, {{monzo| 38 -2 -15 }} | |||
| {{mapping| 379 601 880 }} | |||
| −0.1944 | |||
| 0.2852 | |||
| 9.01 | |||
|- | |||
| 2.3.5.7 | |||
| 5120/5103, 2401/2400, {{monzo| -23 -11 15 2 }} | |||
| {{mapping| 379 601 880 1064 }} | |||
| −0.1493 | |||
| 0.2591 | |||
| 8.18 | |||
|- | |||
| 2.3.5.7.11 | |||
| 2401/2400, 5120/5103, 5632/5625, 14641/14580 | |||
| {{mapping| 379 601 880 1064 1311 }} | |||
| −0.0967 | |||
| 0.2545 | |||
| 8.04 | |||
|- | |||
| 2.3.5.7.11.13 | |||
| 325/324, 1001/1000, 1716/1715, 5120/5103, 6656/6655 | |||
| {{mapping| 379 601 880 1064 1311 1402 }} (379) | |||
| −0.014 | |||
| 0.2969 | |||
| 9.38 | |||
|} | |||
=== 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 | |||
| 61\379 | |||
| 193.14 | |||
| 262144/234375 | |||
| [[Luna]] | |||
|- | |||
| 1 | |||
| 110\379 | |||
| 348.28 | |||
| 57344/46875 | |||
| [[Subneutral]] | |||
|- | |||
| 1 | |||
| 111\379 | |||
| 351.45 | |||
| 49/40 | |||
| [[Hemififths]] | |||
|- | |||
| 1 | |||
| 143\379 | |||
| 452.77 | |||
| 162/125 | |||
| [[Maja]] (5-limit) | |||
|- | |||
| 1 | |||
| 221\379 | |||
| 699.74 | |||
| 8192/6137 | |||
| [[Langwidge]] | |||
|} | |||
<nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if distinct | |||
== Scales == | |||
* [[Subneutral31]] | * [[Subneutral31]] | ||
== Music == | |||
; [[Francium]] | |||
* [https://www.youtube.com/watch?v=SDE2Nb7crIU ''Subneutral Funk''] (2023) | |||
* "Blindfolded, Ordinary" from ''Take Advantage'' (2024) – [https://open.spotify.com/track/0Ron6qIepdAdTfAnKaKPfS Spotify] | [https://francium223.bandcamp.com/track/blindfolded-ordinary Bandcamp] | [https://www.youtube.com/watch?v=uuFcSrCfA00 YouTube] | |||
* "Bread That Was Brought To Life" from ''Naughty Girl Era'' (2024) – [https://open.spotify.com/track/2mVUbNEBX6FPRqjTJ3fyMh Spotify] | [https://francium223.bandcamp.com/track/bread-that-was-brought-to-life Bandcamp] | [https://www.youtube.com/watch?v=bfw1PUNV930 YouTube] – bronxic in 379edo | |||
[[Category:Listen]] | |||