20160edo - Revision history

ArrowHead294 at 18:02, 20 February 2025

2025-02-20T18:02:50Z

← Older revision		Revision as of 18:02, 20 February 2025
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	[[Eliora]] proposes that one step of 20160edo be called ''pian'', since piano manufacturers have a tendency to avoid the prominence of 7th harmonic in their sound. A semitone is therefore 1680 pians, a step of [[224edo]] is 90 pians, and the Dröbisch angle, one step of [[360edo]], is 56 pians.		[[Eliora]] proposes that one step of 20160edo be called ''pian'', since piano manufacturers have a tendency to avoid the prominence of 7th harmonic in their sound. A semitone is therefore 1680 pians, a step of [[224edo]] is 90 pians, and the Dröbisch angle, one step of [[360edo]], is 56 pians.
	===Prime harmonics===
			=== Prime harmonics ===
	{{harmonics in equal\|20160}}		{{harmonics in equal\|20160}}

Francium: changed EDO intro to ED intro

2025-02-20T06:56:12Z

changed EDO intro to ED intro

← Older revision		Revision as of 06:56, 20 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|20160~~}}		{{ED intro}}

	20160edo is the 23rd [[highly composite edo]], although it is not a member of the superabundant edos. It is also a highly factorable number edo, carrying the trait of being broken down into subsets into more ways than any number before it.		20160edo is the 23rd [[highly composite edo]], although it is not a member of the superabundant edos. It is also a highly factorable number edo, carrying the trait of being broken down into subsets into more ways than any number before it.

Eliora: Created page with "{{Infobox ET}} {{EDO intro|20160}} 20160edo is the 23rd highly composite edo, although it is not a member of the superabundant edos. It is also a highly factorable number..."

2023-03-18T22:49:10Z

Created page with "{{Infobox ET}} {{EDO intro|20160}} 20160edo is the 23rd highly composite edo, although it is not a member of the superabundant edos. It is also a highly factorable number..."

New page

{{Infobox ET}}
{{EDO intro|20160}}

20160edo is the 23rd [[highly composite edo]], although it is not a member of the superabundant edos. It is also a highly factorable number edo, carrying the trait of being broken down into subsets into more ways than any number before it.

Aside from divisors, it is an excellent no-7s 29-limit system, having errors of 25% or less, and with the 28% error on the 7th harmonic it is overall a satisfactory 29-limit tuning, making it a candidate for an interval size measure.

[[Eliora]] proposes that one step of 20160edo be called ''pian'', since piano manufacturers have a tendency to avoid the prominence of 7th harmonic in their sound. A semitone is therefore 1680 pians, a step of [[224edo]] is 90 pians, and the Dröbisch angle, one step of [[360edo]], is 56 pians.
===Prime harmonics===
{{harmonics in equal|20160}}