851edo - Revision history

Lériendil at 00:07, 12 April 2025

2025-04-12T00:07:34Z

← Older revision		Revision as of 00:07, 12 April 2025
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	=== Prime harmonics ===		=== Prime harmonics ===
	{{Harmonics in equal\|851}}		{{Harmonics in equal\|851}}
	~~{{Harmonics in equal\|851\|start = 16\|collapsed = 1\|intervals = odd}}~~

	=== Subsets and supersets ===		=== Subsets and supersets ===
	Since 851 factors into {{factorization\|851}}, 851edo contains [[23edo]] and [[37edo]] as its subsets.		Since 851 factors into {{factorization\|851}}, 851edo contains [[23edo]] and [[37edo]] as its subsets. [[1702edo]], which doubles it, provides a strong correction to the 17th and 23rd harmonics, making it notably good as a high-limit no-threes system.

	[[Category:Newt]]		[[Category:Newt]]

Lériendil at 00:05, 12 April 2025

2025-04-12T00:05:59Z

← Older revision		Revision as of 00:05, 12 April 2025
Line 6:		Line 6:
	=== Prime harmonics ===		=== Prime harmonics ===
	{{Harmonics in equal\|851}}		{{Harmonics in equal\|851}}
			{{Harmonics in equal\|851\|start = 16\|collapsed = 1\|intervals = odd}}

	=== Subsets and supersets ===		=== Subsets and supersets ===

Francium: changed EDO intro to ED intro

2025-02-21T05:38:11Z

changed EDO intro to ED intro

← Older revision		Revision as of 05:38, 21 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro}}		{{ED intro}}

	851edo is [[consistent]] to the [[15-odd-limit]] or the no-17 no-23 [[25-odd-limit]]. As an equal temperament, it [[tempering out\|tempers out]] the [[luna comma]] in the 5-limit; 2401/2400 ([[breedsma]]) and 33554432/33480783 ([[garischisma]]) in the 7-limit; [[3025/3024]] and [[19712/19683]] in the 11-limit; and [[2080/2079]], [[4096/4095]], and [[4225/4224]] in the 13-limit. It provides the [[optimal patent val]] for 13-limit [[newt]], the 270 & 581 [[microtemperament]], as well as neonewt, its no-17 19-limit extension.		851edo is [[consistent]] to the [[15-odd-limit]] or the no-17 no-23 [[25-odd-limit]]. As an equal temperament, it [[tempering out\|tempers out]] the [[luna comma]] in the 5-limit; 2401/2400 ([[breedsma]]) and 33554432/33480783 ([[garischisma]]) in the 7-limit; [[3025/3024]] and [[19712/19683]] in the 11-limit; and [[2080/2079]], [[4096/4095]], and [[4225/4224]] in the 13-limit. It provides the [[optimal patent val]] for 13-limit [[newt]], the 270 & 581 [[microtemperament]], as well as neonewt, its no-17 19-limit extension.

FloraC: Note an important 5-limit comma

2024-07-26T03:59:03Z

Note an important 5-limit comma

← Older revision		Revision as of 03:59, 26 July 2024
Line 2:		Line 2:
	{{EDO intro}}		{{EDO intro}}

	851edo is [[consistent]] to the [[15-odd-limit]] or the no-17 no-23 [[25-odd-limit]]. As an equal temperament, it [[tempering out\|tempers out]] 2401/2400 ([[breedsma]]) and 33554432/33480783 ([[garischisma]]) in the 7-limit; [[3025/3024]] and [[19712/19683]] in the 11-limit; and [[2080/2079]], [[4096/4095]], and [[4225/4224]] in the 13-limit. It provides the [[optimal patent val]] for 13-limit [[newt]], the 270 & 581 [[microtemperament]], as well as neonewt, its no-17 19-limit extension.		851edo is [[consistent]] to the [[15-odd-limit]] or the no-17 no-23 [[25-odd-limit]]. As an equal temperament, it [[tempering out\|tempers out]] the [[luna comma]] in the 5-limit; 2401/2400 ([[breedsma]]) and 33554432/33480783 ([[garischisma]]) in the 7-limit; [[3025/3024]] and [[19712/19683]] in the 11-limit; and [[2080/2079]], [[4096/4095]], and [[4225/4224]] in the 13-limit. It provides the [[optimal patent val]] for 13-limit [[newt]], the 270 & 581 [[microtemperament]], as well as neonewt, its no-17 19-limit extension.

	=== Prime harmonics ===		=== Prime harmonics ===

FloraC at 12:51, 15 July 2024

2024-07-15T12:51:40Z

← Older revision		Revision as of 12:51, 15 July 2024
Line 2:		Line 2:
	{{EDO intro}}		{{EDO intro}}

	851edo is [[consistent]] to the [[15-odd-limit]] or the no-17 no-23 [[25-odd-limit]]. As an equal temperament, it [[tempering out\|tempers out]] 2401/2400 ([[breedsma]]) and 33554432/33480783 ([[garischisma]]) in the 7-limit; [[3025/3024]] and [[19712/19683]] in the 11-limit; and [[2080/2079]], [[4096/4095]], and [[4225/4224]] in the 13-limit. It provides the [[optimal patent val]] for 13-limit [[newt]], the 270 & 581 ~~temperament~~, as well as neonewt, its no-17 19-limit extension.		851edo is [[consistent]] to the [[15-odd-limit]] or the no-17 no-23 [[25-odd-limit]]. As an equal temperament, it [[tempering out\|tempers out]] 2401/2400 ([[breedsma]]) and 33554432/33480783 ([[garischisma]]) in the 7-limit; [[3025/3024]] and [[19712/19683]] in the 11-limit; and [[2080/2079]], [[4096/4095]], and [[4225/4224]] in the 13-limit. It provides the [[optimal patent val]] for 13-limit [[newt]], the 270 & 581 [[microtemperament]], as well as neonewt, its no-17 19-limit extension.

	=== Prime harmonics ===		=== Prime harmonics ===

FloraC at 12:50, 15 July 2024

2024-07-15T12:50:25Z

← Older revision		Revision as of 12:50, 15 July 2024
Line 2:		Line 2:
	{{EDO intro}}		{{EDO intro}}

	851edo is [[consistent]] to the [[15-odd-limit]] or the no-17 no-23 [[25-odd-limit]]. As an equal temperament, it [[tempering out\|tempers out]] 2401/2400 ([[breedsma]]) and 33554432/33480783 ([[garischisma]]) in the 7-limit; [[3025/3024]] and [[19712/19683]] in the 11-limit; and [[2080/2079]], [[4096/4095]], and [[4225/4224]] in the 13-limit. It provides the [[optimal patent val]] for 13-limit [[newt]] ~~and~~ its no-17 19-limit extension ~~neonewt~~.		851edo is [[consistent]] to the [[15-odd-limit]] or the no-17 no-23 [[25-odd-limit]]. As an equal temperament, it [[tempering out\|tempers out]] 2401/2400 ([[breedsma]]) and 33554432/33480783 ([[garischisma]]) in the 7-limit; [[3025/3024]] and [[19712/19683]] in the 11-limit; and [[2080/2079]], [[4096/4095]], and [[4225/4224]] in the 13-limit. It provides the [[optimal patent val]] for 13-limit [[newt]], the 270 & 581 temperament, as well as neonewt, its no-17 19-limit extension.

	=== Prime harmonics ===		=== Prime harmonics ===

FloraC: Created page with "{{Infobox ET}} {{EDO intro}} 851edo is consistent to the 15-odd-limit or the no-17 no-23 25-odd-limit. As an equal temperament, it tempers out 2..."

2024-07-15T12:34:42Z

Created page with "{{Infobox ET}} {{EDO intro}} 851edo is consistent to the 15-odd-limit or the no-17 no-23 25-odd-limit. As an equal temperament, it tempers out 2..."

New page

{{Infobox ET}}
{{EDO intro}}

851edo is [[consistent]] to the [[15-odd-limit]] or the no-17 no-23 [[25-odd-limit]]. As an equal temperament, it [[tempering out|tempers out]] 2401/2400 ([[breedsma]]) and 33554432/33480783 ([[garischisma]]) in the 7-limit; [[3025/3024]] and [[19712/19683]] in the 11-limit; and [[2080/2079]], [[4096/4095]], and [[4225/4224]] in the 13-limit. It provides the [[optimal patent val]] for 13-limit [[newt]] and its no-17 19-limit extension neonewt.

=== Prime harmonics ===
{{Harmonics in equal|851}}

=== Subsets and supersets ===
Since 851 factors into {{factorization|851}}, 851edo contains [[23edo]] and [[37edo]] as its subsets.

[[Category:Newt]]