480edo: Difference between revisions

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~~{{novelty}}{{stub}}~~{{Infobox ET}}

480edo is a [[~~largely composite~~]] ~~edo, and it is consistent~~ in the 11-odd-limit.

480edo is [[consistent]] in the [[11-odd-limit]] with a sharp tendency in the first few [[harmonic]]s.

~~480edo tunes~~ the 24th-octave [[chromium]] temperament on the patent val in the 11-limit and extends it via the 480fgg val into the 17-limit. It is ~~also~~ worth ~~tuning~~ that 480fgg val has a lower [[TE error]] than the patent val. ~~It is also a strong tuning for 6th~~-octave [[~~hemidomain~~]] temperament and ~~provides the~~ [[~~optimal patent val~~]] ~~for the rank-~~3 [[~~semiporwell~~]] ~~temperament~~, ~~as well as the 24th~~-~~octave rank-3~~ [[~~rabic~~]] ~~temperament. It also tunes period-8~~ [[~~twilight~~]] ~~temperament~~.

It provides the [[optimal patent val]] for the 11-limit rank-3 [[semiporwell]] temperament, and the 7- and 11-limit [[twilight]] temperament. It also [[support]]s the 6th-octave [[hemidomain]] temperament and the 24th-octave [[chromium]] temperament on the [[patent val]] in the 11-limit and extends chromium via the 480fgg [[val]] into the 17-limit. It is worth noting that 480fgg val has a lower [[TE error]] than the patent val. The 480bde val supports the 24th-octave rank-3 [[rabic]] temperament.

In the 2.7/5.11/7.23/13.17.19 subgroup ([[K*N subgroups|4*480 subgroup]]), 480edo is identical to [[1920edo]] and tempers out 44965/44954, 50578/50575, 2000033/2000000, 2283325/2283008, 163498496/163480075.

=== Harmonics ===

=== Subsets and supersets ===

480edo is a [[Highly composite equal division #Largely composite numbers|largely composite edo]]. Since 480 factors into {{factorization|480}}, 480edo has subset edos {{EDOs| 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, and 240 }}. 960edo, which doubles it, corrects harmonics [[5/1|5]], [[7/1|7]], [[9/1|9]], and [[11/1|11]] to near-just qualities, and [[1920edo]] corrects harmonic [[3/1|3]].

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-{{novelty}}{{stub}}{{Infobox ET}}
+{{Infobox ET}}
-{{EDO intro|480}}
+{{ED intro}}
-edo is a [[largely composite]] edo, and it is consistent in the 11-odd-limit.
+edo is [[consistent]] in the [[11-odd-limit]] with a sharp tendency in the first few [[harmonic]]s.
-edo tunes the 24th-octave [[chromium]] temperament on the patent val in the 11-limit and extends it via the 480fgg val into the 17-limit. It is also worth tuning that 480fgg val has a lower [[TE error]] than the patent val. It is also a strong tuning for 6th-octave [[hemidomain]] temperament and provides the [[optimal patent val]] for the rank-3 [[semiporwell]] temperament, as well as the 24th-octave rank-3 [[rabic]] temperament. It also tunes period-8 [[twilight]] temperament.
+It provides the [[optimal patent val]] for the 11-limit rank-3 [[semiporwell]] temperament, and the 7- and 11-limit [[twilight]] temperament. It also [[support]]s the 6th-octave [[hemidomain]] temperament and the 24th-octave [[chromium]] temperament on the [[patent val]] in the 11-limit and extends chromium via the 480fgg [[val]] into the 17-limit. It is worth noting that 480fgg val has a lower [[TE error]] than the patent val. The 480bde val supports the 24th-octave rank-3 [[rabic]] temperament.
+In the 2.7/5.11/7.23/13.17.19 subgroup ([[K*N subgroups|4*480 subgroup]]), 480edo is identical to [[1920edo]] and tempers out 44965/44954, 50578/50575, 2000033/2000000, 2283325/2283008, 163498496/163480075.
+=== Harmonics ===
+{{Harmonics in equal|480}}
+=== Subsets and supersets ===
+edo is a [[Highly composite equal division #Largely composite numbers|largely composite edo]]. Since 480 factors into {{factorization|480}}, 480edo has subset edos {{EDOs| 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, and 240 }}. 960edo, which doubles it, corrects harmonics [[5/1|5]], [[7/1|7]], [[9/1|9]], and [[11/1|11]] to near-just qualities, and [[1920edo]] corrects harmonic [[3/1|3]].