379edo: Difference between revisions

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 {{Infobox ET}}
-{{EDO intro|379}}
+{{ED intro}}
-==Theory==
-tempers out 4096000/4084101, [[5120/5103]] and [[2401/2400]] in the 7-limit; 2097152/2096325, 1953125/1951488, [[6250/6237]], 42875/42768, 5767168/5764801, 180224/180075, [[5632/5625]], 537109375/536870912, 422576/421875, 9453125/9437184, 166375/165888, 67110351/67108864, 3294225/3294172, 43923/43904, 102487/102400, 20614528/20588575, 644204/643125 and 781258401/781250000 in the 11-limit. It provides the optimal patent val for the [[subneutral]] temperament.
+== 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}}
+=== Subsets and supersets ===
 edo is the 75th [[prime edo]].
-{{Harmonics in equal|379}}
-==Regular temperament properties==
+== Regular temperament properties ==
 {| class="wikitable center-4 center-5 center-6"
-! rowspan="2" |[[Subgroup]]
-! rowspan="2" |[[Comma list|Comma List]]
-! rowspan="2" |[[Mapping]]
-! rowspan="2" |Optimal<br>8ve Stretch (¢)
-! colspan="2" |Tuning Error
 |-
-![[TE error|Absolute]] (¢)
+! rowspan="2" | [[Subgroup]]
-![[TE simple badness|Relative]] (%)
+! 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
 |-
-|2.3
+| 1
-|{{monzo| 601 -379}}
+| 61\379
-|{{val| 379 601}}
+| 193.14
-| -0.2989
+| 262144/234375
-|0.2988
+| [[Luna]]
-|9.43
 |-
-|2.3.5
+| 1
-|{{monzo| 35 -25 2}}, {{monzo| 38 -2 -15}}
+| 110\379
-|{{val| 379 601 880}}
+| 348.28
-| -0.1944
+| 57344/46875
-|0.2852
+| [[Subneutral]]
-|9.01
 |-
-|2.3.5.7
+| 1
-|5120/5103, 2401/2400, {{monzo| -23 -11 15 2}}
+| 111\379
-|{{val| 379 601 880 1064}}
+| 351.45
-| -0.1493
+| 49/40
-|0.2591
+| [[Hemififths]]
-|8.18
 |-
-|2.3.5.7.11
+| 1
-|5120/5103, 5632/5625, 2401/2400, 166375/165888
+| 143\379
-|{{val| 379 601 880 1064 1311}}
+| 452.77
-| -0.0967
+| 162/125
-|0.2545
+| [[Maja]] (5-limit)
-|8.04
 |-
-|2.3.5.7.11.13
+| 1
-|325/324, 1001/1000, 1716/1715, 5120/5103, 6656/6655
+| 221\379
-|{{val| 379 601 880 1064 1311 1402}}
+| 699.74
-| -0.014
+| 8192/6137
-|0.2969
+| [[Langwidge]]
-|9.38
 |}
-==Scales==
+<nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if distinct
-*[[Subneutral31]]
+== Scales ==
+* [[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]]