1260edo - Revision history

Francium: changed EDO intro to ED intro

2025-02-20T17:13:03Z

changed EDO intro to ED intro

← Older revision		Revision as of 17:13, 20 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|1260~~}}		{{ED intro}}

	1260edo is the 16th [[highly composite edo]], and the first one after [[12edo]] which has a good (only 5% error) and also coprime perfect fifth, so that a circle of fifths goes through every step. Unfortunately, it is only [[consistent]] to the [[5-odd-limit]] since the errors of both [[harmonic]]s [[5/1\|5]] and [[7/1\|7]] are quite large and on the opposite side.		1260edo is the 16th [[highly composite edo]], and the first one after [[12edo]] which has a good (only 5% error) and also coprime perfect fifth, so that a circle of fifths goes through every step. Unfortunately, it is only [[consistent]] to the [[5-odd-limit]] since the errors of both [[harmonic]]s [[5/1\|5]] and [[7/1\|7]] are quite large and on the opposite side.

FloraC: Expand on theory; +subsets and supersets

2023-10-31T09:52:25Z

Expand on theory; +subsets and supersets

← Older revision		Revision as of 09:52, 31 October 2023
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	{{EDO intro\|1260}}		{{EDO intro\|1260}}

	1260edo is the 16th [[highly composite edo]], and the first one after [[12edo]] which has a good (only 5% error) and also coprime perfect fifth, so that a circle of fifths goes through every step.		1260edo is the 16th [[highly composite edo]], and the first one after [[12edo]] which has a good (only 5% error) and also coprime perfect fifth, so that a circle of fifths goes through every step. Unfortunately, it is only [[consistent]] to the [[5-odd-limit]] since the errors of both [[harmonic]]s [[5/1\|5]] and [[7/1\|7]] are quite large and on the opposite side.

	It tunes well the 2.3.7.11.17.29 [[subgroup]]. It tempers out the [[parakleisma]] in the 5-limit on the patent val, and in the 13-limit in the 1260cf val it provides an alternative extension to the [[oquatonic]] temperament.		It tunes well the 2.3.7.11.17.29 [[subgroup]]. It tempers out the [[parakleisma]] in the 5-limit on the [[patent val]], and in the 13-limit in the 1260cf [[val]] it provides an alternative extension to the [[oquatonic]] temperament.

	One step of 1260edo bears the name ''triangular cent'', although for unclear reasons. See [[Interval size measure #Octave-based fine measures]]		One step of 1260edo bears the name ''triangular cent'', although for unclear reasons. See [[Interval size measure #Octave-based fine measures]]
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	=== Prime harmonics ===		=== Prime harmonics ===
	{{Harmonics in equal\|1260}}		{{Harmonics in equal\|1260}}

			=== Subsets and supersets ===
			Since 1260 factors into {{factorization\|1260}}, 1260edo has subset edos {{EDOs\| 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 42, 45, 60, 63, 70, 84, 90, 105, 126, 140, 180, 210, 252, 315, 420, and 630 }}.

BudjarnLambeth at 06:52, 9 July 2023

2023-07-09T06:52:19Z

← Older revision		Revision as of 06:52, 9 July 2023
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	~~{{novelty}}{{stub}}~~{{Infobox ET}}		{{Infobox ET}}
	{{EDO intro\|1260}}		{{EDO intro\|1260}}

BudjarnLambeth at 05:16, 9 July 2023

2023-07-09T05:16:17Z

← Older revision		Revision as of 05:16, 9 July 2023
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	{{Infobox ET}}		{{novelty}}{{stub}}{{Infobox ET}}
	{{EDO intro\|1260}}		{{EDO intro\|1260}}

FloraC: Wording

2023-03-13T07:05:49Z

Wording

← Older revision		Revision as of 07:05, 13 March 2023
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	{{EDO intro\|1260}}		{{EDO intro\|1260}}

	1260edo is the 16th [[highly composite ~~EDO~~]], and the first one after [[12edo]] which has a good (only 5% error) and also coprime perfect fifth, so that a circle of fifths goes through every step.		1260edo is the 16th [[highly composite edo]], and the first one after [[12edo]] which has a good (only 5% error) and also coprime perfect fifth, so that a circle of fifths goes through every step.

			It tunes well the 2.3.7.11.17.29 [[subgroup]]. It tempers out the [[parakleisma]] in the 5-limit on the patent val, and in the 13-limit in the 1260cf val it provides an alternative extension to the [[oquatonic]] temperament.

			One step of 1260edo bears the name ''triangular cent'', although for unclear reasons. See [[Interval size measure #Octave-based fine measures]]

	From a regular temperament perspective, it tunes well the 2.3.7.11.17.29 subgroup. It tempers out the [[parakleisma]] in the 5-limit on the patent val, and in the 13-limit in the 1260cf val it provides an alternative extension to the [[oquatonic]] temperament.
	~~=== As an interval size measure ===~~
	~~One step of 1260edo bears the name ''triangular cent'', although for unclear reasons. See [[Interval_size_measure#Octave-based_fine_measures]]~~
	=== Prime harmonics ===		=== Prime harmonics ===
	{{~~harmonics~~ in equal\|1260}}		{{Harmonics in equal\|1260}}

Eliora: Created page with "{{Infobox ET}} {{EDO intro|1260}} 1260edo is the 16th highly composite EDO, and the first one after 12edo which has a good (only 5% error) and also coprime perfect fi..."

2023-03-12T22:03:05Z

Created page with "{{Infobox ET}} {{EDO intro|1260}} 1260edo is the 16th highly composite EDO, and the first one after 12edo which has a good (only 5% error) and also coprime perfect fi..."

New page

{{Infobox ET}}
{{EDO intro|1260}}

1260edo is the 16th [[highly composite EDO]], and the first one after [[12edo]] which has a good (only 5% error) and also coprime perfect fifth, so that a circle of fifths goes through every step.

From a regular temperament perspective, it tunes well the 2.3.7.11.17.29 subgroup. It tempers out the [[parakleisma]] in the 5-limit on the patent val, and in the 13-limit in the 1260cf val it provides an alternative extension to the [[oquatonic]] temperament.
=== As an interval size measure ===
One step of 1260edo bears the name ''triangular cent'', although for unclear reasons. See [[Interval_size_measure#Octave-based_fine_measures]]
=== Prime harmonics ===
{{harmonics in equal|1260}}