60th-octave temperaments - Revision history

Eliora: /* Magnetismic microtemperaments */

2026-08-08T16:35:22Z

Magnetismic microtemperaments

← Older revision		Revision as of 16:35, 8 August 2026
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	[[Support]]ing [[ET]]s: {{EDOs\|600, 660, 720, 780, 1260, 1140, 1920, 2460, 4380}}		[[Support]]ing [[ET]]s: {{EDOs\|600, 660, 720, 780, 1260, 1140, 1920, 2460, 4380}}

	Badness (Sintel): 1.23		Badness (Sintel): 797.107

	=== Neodymium magnet ===		=== Neodymium magnet ===

Eliora: /* Magnetismic microtemperaments */ obviously document the temp this is all named after

2026-08-08T16:34:51Z

Magnetismic microtemperaments: obviously document the temp this is all named after

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 == Magnetismic microtemperaments ==
 All these temperaments temper out the [[magnetisma]], a 2.3.29.43 subgroup comma which when tempered sets the [[87/86]] interval to 1/60th of the octave, and thus all these temperaments have a period that maps to 87/86.
 === Neodymium magnet ===
 An extension of neodymium. Defined just as neodymium in 1920 & 4380, except adds a mapping for 29 and 43 via the fact that [[87/86]] is very close to 1/60th of the octave. And thus the extension is called "neodymium magnet". Defined starting with 2.3.5.29.43 all the way into the 2.3.5.7.11.13.17.19.23.29.43 subgroup, and unlike plain neodymium, addition of .29.43 harmonics saves it from contorsion.

Fredg999: Text replacement - "[[The Riemann zeta function and tuning #" to "[[Riemann zeta function #"

2026-07-16T19:11:11Z

Text replacement - "[[The Riemann zeta function and tuning #" to "[[Riemann zeta function #"

← Older revision		Revision as of 19:11, 16 July 2026
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	{{Infobox fractional-octave\|60}}		{{Infobox fractional-octave\|60}}
	[[60edo]] is a [[highly composite edo]], and some its multiples are notable for their consistency limits, such as [[2460edo]], which is a [[~~The~~ Riemann zeta function ~~and tuning~~ #Zeta edo lists\|zeta record edo]].		[[60edo]] is a [[highly composite edo]], and some its multiples are notable for their consistency limits, such as [[2460edo]], which is a [[Riemann zeta function #Zeta edo lists\|zeta record edo]].

	See [[minutes]] and [[neodymium]].		See [[minutes]] and [[neodymium]].

FloraC: - minutes and neodymium (addressed in landscape microtemps)

2026-04-24T13:22:37Z

- minutes and neodymium (addressed in landscape microtemps)

@@ Line 1: / Line 1: @@
 {{Infobox fractional-octave|60}}
-[[60edo]] is a highly composite EDO, and some its multiples are notable for their consistency limits, such as 2460edo, which is a zeta edo.
+[[60edo]] is a [[highly composite edo]], and some its multiples are notable for their consistency limits, such as [[2460edo]], which is a [[The Riemann zeta function and tuning #Zeta edo lists|zeta record edo]].
-== Minutes ==
+See [[minutes]] and [[neodymium]].
 == Magnetismic microtemperaments ==
 All these temperaments temper out the [[magnetisma]], a 2.3.29.43 subgroup comma which when tempered sets the [[87/86]] interval to 1/60th of the octave, and thus all these temperaments have a period that maps to 87/86.
-===Neodymium magnet===
+=== Neodymium magnet ===
-An extension of neodymium. Defined just as neodymium in 1920 & 4380, except adds a mapping for 29 and 43 via the fact that [[87/86]] is very close to 1/60th of the octave.  and thus the extension is called "neodymium magnet". Defined starting with 2.3.5.29.43 all the way into the 2.3.5.7.11.13.17.19.23.29.43 subgroup, and unlike plain neodymium, addition of .29.43 harmonics saves it from contorsion.
+An extension of neodymium. Defined just as neodymium in 1920 & 4380, except adds a mapping for 29 and 43 via the fact that [[87/86]] is very close to 1/60th of the octave. And thus the extension is called "neodymium magnet". Defined starting with 2.3.5.29.43 all the way into the 2.3.5.7.11.13.17.19.23.29.43 subgroup, and unlike plain neodymium, addition of .29.43 harmonics saves it from contorsion.
 Subgroup: 2.3.5.29.43

ArrowHead294 at 03:40, 14 February 2025

2025-02-14T03:40:31Z

← Older revision		Revision as of 03:40, 14 February 2025
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	{{~~Fractional~~-octave ~~navigation~~\|60}}		{{Infobox fractional-octave\|60}}
	[[60edo]] is a highly composite EDO, and some its multiples are notable for their consistency limits, such as 2460edo, which is a zeta edo.		[[60edo]] is a highly composite EDO, and some its multiples are notable for their consistency limits, such as 2460edo, which is a zeta edo.
	==Minutes==
			== Minutes ==
	Defined as the 2460 & 4320 temperament, starting with the 13-limit. Named "minutes" for period-60, since there's 60 minutes in an hour. In light of 12 being a divisor of 60, minutes tempers out the [[Kirnberger's atom]], and in the limits below 13, it's a contorted atomic temperament.		Defined as the 2460 & 4320 temperament, starting with the 13-limit. Named "minutes" for period-60, since there's 60 minutes in an hour. In light of 12 being a divisor of 60, minutes tempers out the [[Kirnberger's atom]], and in the limits below 13, it's a contorted atomic temperament.

MisterShafXen: /* 19-limit */

2024-12-16T23:44:15Z

19-limit

← Older revision		Revision as of 23:44, 16 December 2024
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	=== 19-limit ===		=== 19-limit ===
	Subgroup: 2.3.5.7.11.13.17		Subgroup: 2.3.5.7.11.13.17.19

	Comma list: 9801/9800, 10241/10240, 13377/13376, 5929/5928, 89376/89375, 23409/23408		Comma list: 9801/9800, 10241/10240, 13377/13376, 5929/5928, 89376/89375, 23409/23408

BudjarnLambeth at 07:45, 5 December 2024

2024-12-05T07:45:36Z

← Older revision		Revision as of 07:45, 5 December 2024
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	[[Category:60edo]]		[[Category:60edo]]
	~~[[Category:Temperament collections]]~~

BudjarnLambeth: navbox

2024-12-05T07:38:26Z

navbox

← Older revision		Revision as of 07:38, 5 December 2024
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	Optimal tuning (CTE): ~216/175 = 364.385		Optimal tuning (CTE): ~216/175 = 364.385

			{{Navbox fractional-octave}}

	[[Category:60edo]]		[[Category:60edo]]
	[[Category:Temperament collections]]		[[Category:Temperament collections]]

Eliora at 12:21, 21 September 2023

2023-09-21T12:21:20Z

← Older revision		Revision as of 12:21, 21 September 2023
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	[[Category:60edo]]		[[Category:60edo]]
	[[Category:Temperament collections]]		[[Category:Temperament collections]]
	~~[[Category:Rank 2]]~~

Eliora at 22:36, 14 July 2023

2023-07-14T22:36:25Z

← Older revision		Revision as of 22:36, 14 July 2023
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			{{Fractional-octave navigation\|60}}
	[[60edo]] is a highly composite EDO, and some its multiples are notable for their consistency limits, such as 2460edo, which is a zeta edo.		[[60edo]] is a highly composite EDO, and some its multiples are notable for their consistency limits, such as 2460edo, which is a zeta edo.
	==Minutes==		==Minutes==