5941edo - Revision history

Francium: changed EDO intro to ED intro

2025-02-20T06:59:47Z

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~~\|5941~~}}		{{ED intro}}

	As the [[zeta\|zeta valley]] edo after [[79edo]], it approximates [[prime harmonic]]s with very high errors. In particular, the 7th, 9th, 11th and 23rd harmonics are off by nearly half a step. In light of this, 5941edo can be seen as excelling in the 2.9<sup>2</sup>.7<sup>2</sup>.11<sup>2</sup>.23<sup>2</sup> subgroup. Otherwise, it is strong in the 2.45.35.49.19.(31.51) subgroup.		As the [[zeta\|zeta valley]] edo after [[79edo]], it approximates [[prime harmonic]]s with very high errors. In particular, the 7th, 9th, 11th and 23rd harmonics are off by nearly half a step. In light of this, 5941edo can be seen as excelling in the 2.9<sup>2</sup>.7<sup>2</sup>.11<sup>2</sup>.23<sup>2</sup> subgroup. Otherwise, it is strong in the 2.45.35.49.19.(31.51) subgroup.

FloraC: Rework to get rid of the overlong table

2024-02-12T08:21:39Z

Rework to get rid of the overlong table

← Older revision		Revision as of 08:21, 12 February 2024
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	{{EDO intro\|5941}}		{{EDO intro\|5941}}

	~~==Theory==~~		As the [[zeta\|zeta valley]] edo after [[79edo]], it approximates [[prime harmonic]]s with very high errors. In particular, the 7th, 9th, 11th and 23rd harmonics are off by nearly half a step. In light of this, 5941edo can be seen as excelling in the 2.9<sup>2</sup>.7<sup>2</sup>.11<sup>2</sup>.23<sup>2</sup> subgroup. Otherwise, it is strong in the 2.45.35.49.19.(31.51) subgroup.
	~~{{Harmonics in equal\|5941\|columns=30}}~~
	As the [[zeta\|zeta valley]] edo after [[79edo]], it approximates prime ~~harmonics~~ with very high errors. In particular, the 7th, 9th, 11th and 23rd harmonics are off by nearly half a step. In light of this, 5941edo can be seen as excelling in the 2.9<sup>2</sup>.7<sup>2</sup>.11<sup>2</sup>.23<sup>2</sup> subgroup. Otherwise, it is strong in the 2.45.35.49.19.(31.51) subgroup.

	Rather fittingly, it has a [[consistency\|consistency limit]] of 3.		Rather fittingly, it has a [[consistency\|consistency limit]] of 3.

			=== Odd harmonics ===
			{{Harmonics in equal\|5941\|columns=12}}
			{{Harmonics in equal\|5941\|start=13\|columns=12\|collapsed=1\|title=Approximation of odd harmonics in 5941edo (continued)}}

Akselai at 21:35, 10 February 2024

2024-02-10T21:35:47Z

← Older revision		Revision as of 21:35, 10 February 2024
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	==Theory==		==Theory==
	{{Harmonics in equal\|5941}}		{{Harmonics in equal\|5941\|columns=30}}
	As the [[zeta\|zeta valley]] edo after [[79edo]], it approximates prime harmonics with very high errors. In particular, the 7th, 9th and ~~11th~~ harmonics are off by nearly half a step. In light of this, 5941edo can be seen as excelling in the 2.9<sup>2</sup>.7<sup>2</sup>.11<sup>2</sup> subgroup. Otherwise, it is strong in the 2.45.35.49.19.(31.51) subgroup.		As the [[zeta\|zeta valley]] edo after [[79edo]], it approximates prime harmonics with very high errors. In particular, the 7th, 9th, 11th and 23rd harmonics are off by nearly half a step. In light of this, 5941edo can be seen as excelling in the 2.9<sup>2</sup>.7<sup>2</sup>.11<sup>2</sup>.23<sup>2</sup> subgroup. Otherwise, it is strong in the 2.45.35.49.19.(31.51) subgroup.

	Rather fittingly, it has a [[consistency\|consistency limit]] of 3.		Rather fittingly, it has a [[consistency\|consistency limit]] of 3.

Akselai: Created page with "{{Infobox ET}} {{EDO intro|5941}} ==Theory== {{Harmonics in equal|5941}} As the zeta valley edo after 79edo, it approximates prime harmonics with very high error..."

2024-02-10T21:33:04Z

Created page with "{{Infobox ET}} {{EDO intro|5941}} ==Theory== {{Harmonics in equal|5941}} As the zeta valley edo after 79edo, it approximates prime harmonics with very high error..."

New page

{{Infobox ET}}
{{EDO intro|5941}}

==Theory==
{{Harmonics in equal|5941}}
As the [[zeta|zeta valley]] edo after [[79edo]], it approximates prime harmonics with very high errors. In particular, the 7th, 9th and 11th harmonics are off by nearly half a step. In light of this, 5941edo can be seen as excelling in the 2.92.72.112 subgroup. Otherwise, it is strong in the 2.45.35.49.19.(31.51) subgroup.

Rather fittingly, it has a [[consistency|consistency limit]] of 3.