4380edo - Revision history

FloraC: Expand

2025-07-30T14:42:14Z

Expand

← Older revision		Revision as of 14:42, 30 July 2025
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	{{ED intro}}		{{ED intro}}

	4380edo is consistent in the 31-odd-limit and ~~has~~ the lowest relative error in the 47-limit, being only beaten by ~~the~~ [[7361edo\|7361o ~~val~~]].		4380edo is [[consistent]] in the [[31-odd-limit]] and holds the record of lowest [[Tenney–Euclidean temperament measures #TE simple badness\|relative error]] in the [[47-limit]], being only beaten by [[7361edo\|7361o-edo]]. It is closely related to [[2190edo]], inheriting the same excellent tuning in the 2.3.5.7.11.13.19.29 subgroup while improving the mapping for many other primes.

	In light of having 60 as a divisor, 4380edo is a tuning for the [[neodymium]] temperament in the 17-limit. It is worth noting that 4380edo tempers out the [[magnetisma]] on its 43-limit patent val, and therefore tunes the extension [[neodymium magnet]].		Some of the simpler [[comma]]s [[tempering out\|tempered out]] include [[31213/31212]] in the [[17-limit]], [[23409/23408]] in the [[19-limit]], [[10625/10625]] in the [[23-limit]], [[7425/7424]] in the [[29-limit]], and [[6138/6137]] in the [[31-limit]].

			In light of having 60 as a divisor, 4380edo is a tuning for the [[neodymium]] temperament in the 17-limit. It is worth noting that 4380edo tempers out the [[magnetisma]] on its [[43-limit]] patent val, and therefore tunes the extension [[neodymium magnet]].

	=== Prime harmonics ===		=== Prime harmonics ===
	{{Harmonics in equal\|4380}}		{{Harmonics in equal\|4380\|columns=9}}
			{{Harmonics in equal\|4380\|columns=9\|start=10\|collapsed=true\|title=Approximation of prime harmonics in 4380edo (continued)}}

	=== Subsets and supersets ===		=== Subsets and supersets ===
	4380edo has subset edos {{EDOs\|1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 73, 146, 219, 292, 365, 438, 730, 876, 1095, 1460, 2190}}. One step of 4380edo is one sixth of a [[Woolhouse unit]] (1\730).		4380edo has subset edos {{EDOs\| 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 73, 146, 219, 292, 365, 438, 730, 876, 1095, 1460, 2190 }}. One step of 4380edo is one sixth of a [[Woolhouse unit]] (1\730).

Francium: changed EDO intro to ED intro

2025-02-21T05:43:16Z

changed EDO intro to ED intro

← Older revision		Revision as of 05:43, 21 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|4380~~}}		{{ED intro}}

	4380edo is consistent in the 31-odd-limit and has the lowest relative error in the 47-limit, being only beaten by the [[7361edo\|7361o val]].		4380edo is consistent in the 31-odd-limit and has the lowest relative error in the 47-limit, being only beaten by the [[7361edo\|7361o val]].

BudjarnLambeth at 07:07, 9 July 2023

2023-07-09T07:07:33Z

← Older revision		Revision as of 07:07, 9 July 2023
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	~~{{novelty}}{{stub}}~~{{Infobox ET}}		{{Infobox ET}}
	{{EDO intro\|4380}}		{{EDO intro\|4380}}

BudjarnLambeth at 04:24, 9 July 2023

2023-07-09T04:24:42Z

← Older revision		Revision as of 04:24, 9 July 2023
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	{{novelty}}{{stub~~}}{{Infobox ET~~}}{{Infobox ET}}		{{novelty}}{{stub}}{{Infobox ET}}
	{{EDO intro\|4380}}		{{EDO intro\|4380}}

BudjarnLambeth at 04:24, 9 July 2023

2023-07-09T04:24:34Z

← Older revision		Revision as of 04:24, 9 July 2023
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	{{Infobox ET}}		{{novelty}}{{stub}}{{Infobox ET}}{{Infobox ET}}
	{{EDO intro\|4380}}		{{EDO intro\|4380}}

FloraC: One fifth -> one sixth

2023-03-30T04:29:01Z

One fifth -> one sixth

← Older revision		Revision as of 04:29, 30 March 2023
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	In light of having 60 as a divisor, 4380edo is a tuning for the [[neodymium]] temperament in the 17-limit. It is worth noting that 4380edo tempers out the [[magnetisma]] on its 43-limit patent val, and therefore tunes the extension [[neodymium magnet]].		In light of having 60 as a divisor, 4380edo is a tuning for the [[neodymium]] temperament in the 17-limit. It is worth noting that 4380edo tempers out the [[magnetisma]] on its 43-limit patent val, and therefore tunes the extension [[neodymium magnet]].

	=== Prime harmonics ===		=== Prime harmonics ===
	{{~~harmonics~~ in equal\|4380}}		{{Harmonics in equal\|4380}}

	=== Subsets and supersets ===		=== Subsets and supersets ===
	4380edo has subset edos {{EDOs\|1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 73, 146, 219, 292, 365, 438, 730, 876, 1095, 1460, 2190}}. One step of 4380edo is one ~~fifth~~ of a [[Woolhouse unit]] (1\730).		4380edo has subset edos {{EDOs\|1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 73, 146, 219, 292, 365, 438, 730, 876, 1095, 1460, 2190}}. One step of 4380edo is one sixth of a [[Woolhouse unit]] (1\730).

Eliora: Created page with "{{Infobox ET}} {{EDO intro|4380}} 4380edo is consistent in the 31-odd-limit and has the lowest relative error in the 47-limit, being only beaten by the 7361o val...."

2023-03-29T23:15:32Z

Created page with "{{Infobox ET}} {{EDO intro|4380}} 4380edo is consistent in the 31-odd-limit and has the lowest relative error in the 47-limit, being only beaten by the 7361o val...."

New page

{{Infobox ET}}
{{EDO intro|4380}}

4380edo is consistent in the 31-odd-limit and has the lowest relative error in the 47-limit, being only beaten by the [[7361edo|7361o val]].

In light of having 60 as a divisor, 4380edo is a tuning for the [[neodymium]] temperament in the 17-limit. It is worth noting that 4380edo tempers out the [[magnetisma]] on its 43-limit patent val, and therefore tunes the extension [[neodymium magnet]].
=== Prime harmonics ===
{{harmonics in equal|4380}}
=== Subsets and supersets ===
4380edo has subset edos {{EDOs|1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 73, 146, 219, 292, 365, 438, 730, 876, 1095, 1460, 2190}}. One step of 4380edo is one fifth of a [[Woolhouse unit]] (1\730).