1440edo - Revision history

Francium: changed EDO intro to ED intro

2025-02-21T05:48:45Z

changed EDO intro to ED intro

← Older revision		Revision as of 05:48, 21 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|1440~~}}		{{ED intro}}

	1440edo is in[[consistent]] to the [[5-odd-limit]] and does poorly with approximating lower harmonics. However, 1440edo is worth considering as a higher-limit system, where it has excellent representation of the 2.27.15.21.33.17.19.23.31 [[subgroup]]. It may also be considered as every third step of [[4320edo]] in this regard.		1440edo is in[[consistent]] to the [[5-odd-limit]] and does poorly with approximating lower harmonics. However, 1440edo is worth considering as a higher-limit system, where it has excellent representation of the 2.27.15.21.33.17.19.23.31 [[subgroup]]. It may also be considered as every third step of [[4320edo]] in this regard.

FloraC: Adopt template: Factorization; misc. cleanup

2023-10-31T09:13:45Z

Adopt template: Factorization; misc. cleanup

← Older revision		Revision as of 09:13, 31 October 2023
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	{{EDO intro\|1440}}		{{EDO intro\|1440}}

	~~From a regular temperament perspective,~~ 1440edo ~~only has a consistency~~ limit ~~of 3~~ and does poorly with approximating lower harmonics. However, 1440edo is worth considering as a higher-limit system, where it has excellent representation of the 2.15.17.19~~.21~~.23~~.25.27~~.31~~.33~~ subgroup. It may also be considered as every third step of [[4320edo]] in this regard.		1440edo is in[[consistent]] to the [[5-odd-limit]] and does poorly with approximating lower harmonics. However, 1440edo is worth considering as a higher-limit system, where it has excellent representation of the 2.27.15.21.33.17.19.23.31 [[subgroup]]. It may also be considered as every third step of [[4320edo]] in this regard.

	=== Odd harmonics ===		=== Odd harmonics ===
	{{Harmonics in equal\|1440}}		{{Harmonics in equal\|1440}}

	=== Subsets and supersets ===		=== Subsets and supersets ===
	1440edo is notable for having a lot of ~~divisors~~, ~~namely~~ {{EDOs\|1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 72, 80, 90, 96, 120, 144, 160, 180, 240, 288, 360, 480, 720}}. It is also a [[Highly composite equal division#Highly factorable numbers\|highly factorable]] ~~equal division~~.		Since 1440 factors into {{factorization\|1440}}, 1440edo is notable for having a lot of subset edos, the nontrivial ones being {{EDOs\| 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 72, 80, 90, 96, 120, 144, 160, 180, 240, 288, 360, 480, and 720 }}. It is also a [[Highly composite equal division #Highly factorable numbers\|highly factorable equal division]].

	As an interval size measure, one step of 1440edo is called ''decifarab''.		As an interval size measure, one step of 1440edo is called ''decifarab''.

Eliora at 18:37, 14 September 2023

2023-09-14T18:37:56Z

← Older revision		Revision as of 18:37, 14 September 2023
Line 2:		Line 2:
	{{EDO intro\|1440}}		{{EDO intro\|1440}}

	From a regular temperament perspective, 1440edo only has a consistency limit of 3 and does poorly with approximating lower harmonics. However, 1440edo is worth considering as a higher-limit system, where it has excellent representation of the 2.15.17.19.21.23 subgroup. It may also be considered as every third step of [[4320edo]] in this regard.		From a regular temperament perspective, 1440edo only has a consistency limit of 3 and does poorly with approximating lower harmonics. However, 1440edo is worth considering as a higher-limit system, where it has excellent representation of the 2.15.17.19.21.23.25.27.31.33 subgroup. It may also be considered as every third step of [[4320edo]] in this regard.
	=== Odd harmonics ===		=== Odd harmonics ===
	{{Harmonics in equal\|1440}}		{{Harmonics in equal\|1440}}

BudjarnLambeth at 06:53, 9 July 2023

2023-07-09T06:53:56Z

← Older revision		Revision as of 06:53, 9 July 2023
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	~~{{novelty}}{{stub}}~~{{Infobox ET}}		{{Infobox ET}}
	{{EDO intro\|1440}}		{{EDO intro\|1440}}

BudjarnLambeth at 05:10, 9 July 2023

2023-07-09T05:10:11Z

← Older revision		Revision as of 05:10, 9 July 2023
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	{{Infobox ET}}		{{novelty}}{{stub}}{{Infobox ET}}
	{{EDO intro\|1440}}		{{EDO intro\|1440}}

Eliora: Created page with "{{Infobox ET}} {{EDO intro|1440}} From a regular temperament perspective, 1440edo only has a consistency limit of 3 and does poorly with approximating lower harmonics. Howeve..."

2023-05-05T23:09:40Z

Created page with "{{Infobox ET}} {{EDO intro|1440}} From a regular temperament perspective, 1440edo only has a consistency limit of 3 and does poorly with approximating lower harmonics. Howeve..."

New page

{{Infobox ET}}
{{EDO intro|1440}}

From a regular temperament perspective, 1440edo only has a consistency limit of 3 and does poorly with approximating lower harmonics. However, 1440edo is worth considering as a higher-limit system, where it has excellent representation of the 2.15.17.19.21.23 subgroup. It may also be considered as every third step of [[4320edo]] in this regard.
=== Odd harmonics ===
{{Harmonics in equal|1440}}
=== Subsets and supersets ===
1440edo is notable for having a lot of divisors, namely {{EDOs|1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 72, 80, 90, 96, 120, 144, 160, 180, 240, 288, 360, 480, 720}}. It is also a [[Highly composite equal division#Highly factorable numbers|highly factorable]] equal division.

As an interval size measure, one step of 1440edo is called ''decifarab''.