4096edo - Revision history

ArrowHead294 at 18:01, 20 February 2025

2025-02-20T18:01:08Z

← Older revision		Revision as of 18:01, 20 February 2025
Line 6:		Line 6:

	In the 11-limit, it is a tuning for the [[Van Gogh]] temperament. In the 13-limit, it tempers out [[6656/6655]], [[9801/9800]], 67392/67375, 105644/105625. In the higher 2.3.7.11.13.37.43 subgroup it tempers out the [[superparticular]] comma [[15093/15092]].		In the 11-limit, it is a tuning for the [[Van Gogh]] temperament. In the 13-limit, it tempers out [[6656/6655]], [[9801/9800]], 67392/67375, 105644/105625. In the higher 2.3.7.11.13.37.43 subgroup it tempers out the [[superparticular]] comma [[15093/15092]].

	=== Prime harmonics ===		=== Prime harmonics ===
	{{Harmonics in equal\|4096}}		{{Harmonics in equal\|4096}}

Francium: changed EDO intro to ED intro

2025-02-20T06:59:59Z

changed EDO intro to ED intro

← Older revision		Revision as of 06:59, 20 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|4096~~}}		{{ED intro}}

	== Theory ==		== Theory ==

Tristanbay: /* Theory */Large error is on the 7th harmonic, not the 5th

2024-05-17T03:43:43Z

Theory: Large error is on the 7th harmonic, not the 5th

← Older revision		Revision as of 03:43, 17 May 2024
Line 3:		Line 3:

	== Theory ==		== Theory ==
	4096edo is consistent in the 15-odd-limit, although with a large error on the ~~7th~~ harmonic. It has the highest consistency limit than any power of two edo before it. In higher limits, the best subgroup for 4096edo is 2.3.7.11.13.37.43.		4096edo is consistent in the 15-odd-limit, although with a large error on the 5th harmonic. It has the highest consistency limit than any power of two edo before it. In higher limits, the best subgroup for 4096edo is 2.3.7.11.13.37.43.

	In the 11-limit, it is a tuning for the [[Van Gogh]] temperament. In the 13-limit, it tempers out [[6656/6655]], [[9801/9800]], 67392/67375, 105644/105625. In the higher 2.3.7.11.13.37.43 subgroup it tempers out the [[superparticular]] comma [[15093/15092]].		In the 11-limit, it is a tuning for the [[Van Gogh]] temperament. In the 13-limit, it tempers out [[6656/6655]], [[9801/9800]], 67392/67375, 105644/105625. In the higher 2.3.7.11.13.37.43 subgroup it tempers out the [[superparticular]] comma [[15093/15092]].

BudjarnLambeth at 07:06, 9 July 2023

2023-07-09T07:06:30Z

← Older revision		Revision as of 07:06, 9 July 2023
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	~~{{novelty}}{{stub}}~~{{Infobox ET}}		{{Infobox ET}}
	{{EDO intro\|4096}}		{{EDO intro\|4096}}

BudjarnLambeth at 04:27, 9 July 2023

2023-07-09T04:27:02Z

← Older revision		Revision as of 04:27, 9 July 2023
Line 1:		Line 1:
	{{Infobox ET}}		{{novelty}}{{stub}}{{Infobox ET}}
	{{EDO intro\|4096}}		{{EDO intro\|4096}}

Eliora: /* Theory */

2023-07-03T14:08:19Z

Theory

← Older revision		Revision as of 14:08, 3 July 2023
Line 6:		Line 6:

	In the 11-limit, it is a tuning for the [[Van Gogh]] temperament. In the 13-limit, it tempers out [[6656/6655]], [[9801/9800]], 67392/67375, 105644/105625. In the higher 2.3.7.11.13.37.43 subgroup it tempers out the [[superparticular]] comma [[15093/15092]].		In the 11-limit, it is a tuning for the [[Van Gogh]] temperament. In the 13-limit, it tempers out [[6656/6655]], [[9801/9800]], 67392/67375, 105644/105625. In the higher 2.3.7.11.13.37.43 subgroup it tempers out the [[superparticular]] comma [[15093/15092]].
			=== Prime harmonics ===
	{{Harmonics in equal\|4096}}		{{Harmonics in equal\|4096}}

Eliora: /* Theory */

2023-07-03T14:08:07Z

Theory

← Older revision		Revision as of 14:08, 3 July 2023
Line 3:		Line 3:

	== Theory ==		== Theory ==
			4096edo is consistent in the 15-odd-limit, although with a large error on the 7th harmonic. It has the highest consistency limit than any power of two edo before it. In higher limits, the best subgroup for 4096edo is 2.3.7.11.13.37.43.

			In the 11-limit, it is a tuning for the [[Van Gogh]] temperament. In the 13-limit, it tempers out [[6656/6655]], [[9801/9800]], 67392/67375, 105644/105625. In the higher 2.3.7.11.13.37.43 subgroup it tempers out the [[superparticular]] comma [[15093/15092]].

	{{Harmonics in equal\|4096}}		{{Harmonics in equal\|4096}}
	~~This~~ is the 12th power of two ~~EDO~~, and ~~it is consistent in the 15-odd-limit~~, ~~a first for a power of two EDO~~.
			=== Subsets and supersets ===
			4096edo is the 12th power of two edo, and has subset edos {{EDOs\|1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048}}.
			[[Category:Jacobin]]

Aura: Created page with "{{Infobox ET}} {{EDO intro|4096}} == Theory == {{Harmonics in equal|4096}} This is the 12th power of two EDO, and it is consistent in the 15-odd-limit, a first for a power of..."

2023-05-06T19:43:07Z

Created page with "{{Infobox ET}} {{EDO intro|4096}} == Theory == {{Harmonics in equal|4096}} This is the 12th power of two EDO, and it is consistent in the 15-odd-limit, a first for a power of..."

New page

{{Infobox ET}}
{{EDO intro|4096}}

== Theory ==
{{Harmonics in equal|4096}}
This is the 12th power of two EDO, and it is consistent in the 15-odd-limit, a first for a power of two EDO.