Francium: changed EDO intro to ED intro

2025-02-21T05:57:02Z

changed EDO intro to ED intro

← Older revision		Revision as of 05:57, 21 February 2025
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|4004~~}}		{{ED intro}}

	4004edo has an extremely accurate [[5/4]], as it is a [[convergent]] to the approximation of log<sub>2</sub>5. Unfortunately it is consistent only this far, in the [[5-odd-limit]].		4004edo has an extremely accurate [[5/4]], as it is a [[convergent]] to the approximation of log<sub>2</sub>5. Unfortunately it is consistent only this far, in the [[5-odd-limit]].

	In higher limits, there is a number of representations to be considered. The 2.5.13/11 subgroup is very precise, where 4004edo tempers out 2.5.13/11 {{monzo\|17 -4 -32}}. Alternately, 2.7.11.13.19 can be considered as an all-sharp system, and 2.3.17.19.23 as an all-flat system. In the 2.3.17, it tempers out {{monzo\|0 49 -19}}, and in 2.3.5.17, 531441/531250.		In higher limits, there is a number of representations to be considered. The 2.5.13/11 subgroup is very precise, where 4004edo tempers out 2.5.13/11 {{monzo\|17 -4 -32}}. Alternately, 2.7.11.13.19 can be considered as an all-sharp system, and 2.3.17.19.23 as an all-flat system. In the 2.3.17, it tempers out {{monzo\|0 49 -19}}, and in 2.3.5.17, 531441/531250.

	=== Prime harmonics ===		=== Prime harmonics ===
	{{~~harmonics~~ in equal\|4004}}		{{Harmonics in equal\|4004}}

	=== Subsets and supersets ===		=== Subsets and supersets ===
	Since 4004edo factors as {{Factorization\|4004}}, it has subset edos {{EDOs\|1, 2, 4, 7, 11, 13, 14, 22, 26, 28, 44, 52, 77, 91, 143, 154, 182, 286, 308, 364, 572, 1001, 2002}}.		Since 4004edo factors as {{Factorization\|4004}}, it has subset edos {{EDOs\|1, 2, 4, 7, 11, 13, 14, 22, 26, 28, 44, 52, 77, 91, 143, 154, 182, 286, 308, 364, 572, 1001, 2002}}.

Eliora: Created page with "{{Infobox ET}} {{EDO intro|4004}} 4004edo has an extremely accurate 5/4, as it is a convergent to the approximation of log₂5. Unfortunately it is consisten..."

2023-12-20T16:47:34Z

Created page with "{{Infobox ET}} {{EDO intro|4004}} 4004edo has an extremely accurate 5/4, as it is a convergent to the approximation of log<sub>2</sub>5. Unfortunately it is consisten..."

New page

{{Infobox ET}}
{{EDO intro|4004}}

4004edo has an extremely accurate [[5/4]], as it is a [[convergent]] to the approximation of log<sub>2</sub>5. Unfortunately it is consistent only this far, in the [[5-odd-limit]].

In higher limits, there is a number of representations to be considered. The 2.5.13/11 subgroup is very precise, where 4004edo tempers out 2.5.13/11 {{monzo|17 -4 -32}}. Alternately, 2.7.11.13.19 can be considered as an all-sharp system, and 2.3.17.19.23 as an all-flat system. In the 2.3.17, it tempers out {{monzo|0 49 -19}}, and in 2.3.5.17, 531441/531250.
=== Prime harmonics ===
{{harmonics in equal|4004}}
=== Subsets and supersets ===
Since 4004edo factors as {{Factorization|4004}}, it has subset edos {{EDOs|1, 2, 4, 7, 11, 13, 14, 22, 26, 28, 44, 52, 77, 91, 143, 154, 182, 286, 308, 364, 572, 1001, 2002}}.

4004edo - Revision history

Francium: changed EDO intro to ED intro

Eliora: Created page with "{{Infobox ET}} {{EDO intro|4004}} 4004edo has an extremely accurate 5/4, as it is a convergent to the approximation of log25. Unfortunately it is consisten..."

Eliora: Created page with "{{Infobox ET}} {{EDO intro|4004}} 4004edo has an extremely accurate 5/4, as it is a convergent to the approximation of log₂5. Unfortunately it is consisten..."