2912edo - Revision history

ArrowHead294 at 13:03, 21 February 2025

2025-02-21T13:03:50Z

← Older revision		Revision as of 13:03, 21 February 2025
Line 2:		Line 2:
	{{ED intro}}		{{ED intro}}

	2912edo is [[consistent]] to the [[7-odd-limit]], but the error on [[3/2\|3]] and [[5/4\|5]] is quite large, commending it to a [[dual-fifth]] interpretation. As a dual-fifth system, its sharp and flat approximations to 3/2 come from two notable ~~systems -~~ [[364edo]] and [[224edo]] (see the template to the right).		2912edo is [[consistent]] to the [[7-odd-limit]], but the error on [[3/2\|3]] and [[5/4\|5]] is quite large, commending it to a [[dual-fifth]] interpretation. As a dual-fifth system, its sharp and flat approximations to 3/2 come from two notable systems—[[364edo]] and [[224edo]] (see the template to the right).

	Aside from the patent val, there is a number of mappings to be considered. 2912dd val provides a tuning close to [[POTE]] tuning for the [[tokko]] temperament, and 2912e val tunes [[skadi]]. 2912edo can be used with 2.7.9.11.15.19 subgroup.		Aside from the patent val, there is a number of mappings to be considered. 2912dd val provides a tuning close to [[POTE]] tuning for the [[tokko]] temperament, and 2912e val tunes [[skadi]]. 2912edo can be used with 2.7.9.11.15.19 subgroup.

	=== Odd harmonics ===		=== Odd harmonics ===
	{{Harmonics in equal\|2912}}		{{Harmonics in equal\|2912}}

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

	Since 2912 factors as {{factorization\|2912}}, 2912edo has subset edos {{EDOs\|1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 32, 52, 56, 91, 104, 112, 182, 208, 224, 364, 416, 728, 1456}}.		Since 2912 factors as {{factorization\|2912}}, 2912edo has subset edos {{EDOs\|1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 32, 52, 56, 91, 104, 112, 182, 208, 224, 364, 416, 728, 1456}}.

Francium: changed EDO intro to ED intro

2025-02-21T05:48:35Z

changed EDO intro to ED intro

← Older revision		Revision as of 05:48, 21 February 2025
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|2912~~}}		{{ED intro}}

	2912edo is [[consistent]] to the [[7-odd-limit]], but the error on [[3/2\|3]] and [[5/4\|5]] is quite large, commending it to a [[dual-fifth]] interpretation. As a dual-fifth system, its sharp and flat approximations to 3/2 come from two notable systems - [[364edo]] and [[224edo]] (see the template to the right).		2912edo is [[consistent]] to the [[7-odd-limit]], but the error on [[3/2\|3]] and [[5/4\|5]] is quite large, commending it to a [[dual-fifth]] interpretation. As a dual-fifth system, its sharp and flat approximations to 3/2 come from two notable systems - [[364edo]] and [[224edo]] (see the template to the right).

Eliora: fix subgroup

2024-02-18T21:25:25Z

fix subgroup

← Older revision		Revision as of 21:25, 18 February 2024
Line 4:		Line 4:
	2912edo is [[consistent]] to the [[7-odd-limit]], but the error on [[3/2\|3]] and [[5/4\|5]] is quite large, commending it to a [[dual-fifth]] interpretation. As a dual-fifth system, its sharp and flat approximations to 3/2 come from two notable systems - [[364edo]] and [[224edo]] (see the template to the right).		2912edo is [[consistent]] to the [[7-odd-limit]], but the error on [[3/2\|3]] and [[5/4\|5]] is quite large, commending it to a [[dual-fifth]] interpretation. As a dual-fifth system, its sharp and flat approximations to 3/2 come from two notable systems - [[364edo]] and [[224edo]] (see the template to the right).

	Aside from the patent val, there is a number of mappings to be considered. 2912dd val provides a tuning close to [[POTE]] tuning for the [[tokko]] temperament, and 2912e val tunes [[skadi]]. 2912edo can be used with 2~~.5/3~~.7.9.11 ~~subgroup, with optional additions of [[~~15~~/8\|15]] or [[~~19~~/16\|19]]~~.		Aside from the patent val, there is a number of mappings to be considered. 2912dd val provides a tuning close to [[POTE]] tuning for the [[tokko]] temperament, and 2912e val tunes [[skadi]]. 2912edo can be used with 2.7.9.11.15.19 subgroup.
	=== Odd harmonics ===		=== Odd harmonics ===
	{{Harmonics in equal\|2912}}		{{Harmonics in equal\|2912}}

Eliora: note that it's not just any tuning but a member of optimal et sequence close to pote

2024-02-18T21:11:28Z

note that it's not just any tuning but a member of optimal et sequence close to pote

← Older revision		Revision as of 21:11, 18 February 2024
Line 4:		Line 4:
	2912edo is [[consistent]] to the [[7-odd-limit]], but the error on [[3/2\|3]] and [[5/4\|5]] is quite large, commending it to a [[dual-fifth]] interpretation. As a dual-fifth system, its sharp and flat approximations to 3/2 come from two notable systems - [[364edo]] and [[224edo]] (see the template to the right).		2912edo is [[consistent]] to the [[7-odd-limit]], but the error on [[3/2\|3]] and [[5/4\|5]] is quite large, commending it to a [[dual-fifth]] interpretation. As a dual-fifth system, its sharp and flat approximations to 3/2 come from two notable systems - [[364edo]] and [[224edo]] (see the template to the right).

	Aside from the patent val, there is a number of mappings to be considered. 2912dd val is a tuning for the [[tokko]] temperament, and 2912e val tunes [[skadi]]. 2912edo can be used with 2.5/3.7.9.11 subgroup, with optional additions of [[15/8\|15]] or [[19/16\|19]].		Aside from the patent val, there is a number of mappings to be considered. 2912dd val provides a tuning close to [[POTE]] tuning for the [[tokko]] temperament, and 2912e val tunes [[skadi]]. 2912edo can be used with 2.5/3.7.9.11 subgroup, with optional additions of [[15/8\|15]] or [[19/16\|19]].
	=== Odd harmonics ===		=== Odd harmonics ===
	{{Harmonics in equal\|2912}}		{{Harmonics in equal\|2912}}

Eliora: Created page with "{{Infobox ET}} {{EDO intro|2912}} 2912edo is consistent to the 7-odd-limit, but the error on 3 and 5 is quite large, commending it to a dual-fifth..."

2024-02-18T21:10:33Z

Created page with "{{Infobox ET}} {{EDO intro|2912}} 2912edo is consistent to the 7-odd-limit, but the error on 3 and 5 is quite large, commending it to a dual-fifth..."

New page

{{Infobox ET}}
{{EDO intro|2912}}

2912edo is [[consistent]] to the [[7-odd-limit]], but the error on [[3/2|3]] and [[5/4|5]] is quite large, commending it to a [[dual-fifth]] interpretation. As a dual-fifth system, its sharp and flat approximations to 3/2 come from two notable systems - [[364edo]] and [[224edo]] (see the template to the right).

Aside from the patent val, there is a number of mappings to be considered. 2912dd val is a tuning for the [[tokko]] temperament, and 2912e val tunes [[skadi]]. 2912edo can be used with 2.5/3.7.9.11 subgroup, with optional additions of [[15/8|15]] or [[19/16|19]].
=== Odd harmonics ===
{{Harmonics in equal|2912}}

=== Subsets and supersets ===

Since 2912 factors as {{factorization|2912}}, 2912edo has subset edos {{EDOs|1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 32, 52, 56, 91, 104, 112, 182, 208, 224, 364, 416, 728, 1456}}.