312edo - Revision history

ArrowHead294 at 18:02, 20 February 2025

2025-02-20T18:02:11Z

← Older revision		Revision as of 18:02, 20 February 2025
Line 2:		Line 2:
	{{ED intro}}		{{ED intro}}

	This edo is the first multiple of 12 to have a [[patent val]] [[perfect fifth\|fifth]] that does not correspond to the [[12edo]] fifth of 700 ~~cents~~. It is strong in the 2.9.15.7 [[subgroup]]. Beyond that, it is harmonic quality is quite poor for its size.		This edo is the first multiple of 12 to have a [[patent val]] [[perfect fifth\|fifth]] that does not correspond to the [[12edo]] fifth of 700{{c}}. It is strong in the 2.9.15.7 [[subgroup]]. Beyond that, it is harmonic quality is quite poor for its size.

	=== Odd harmonics ===		=== Odd harmonics ===

Francium: changed EDO intro to ED intro

2025-02-20T06:56:51Z

changed EDO intro to ED intro

← Older revision		Revision as of 06:56, 20 February 2025
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|312~~}}		{{ED intro}}

	This edo is the first multiple of 12 to have a [[patent val]] [[perfect fifth\|fifth]] that does not correspond to the [[12edo]] fifth of 700 cents. It is strong in the 2.9.15.7 [[subgroup]]. Beyond that, it is harmonic quality is quite poor for its size.		This edo is the first multiple of 12 to have a [[patent val]] [[perfect fifth\|fifth]] that does not correspond to the [[12edo]] fifth of 700 cents. It is strong in the 2.9.15.7 [[subgroup]]. Beyond that, it is harmonic quality is quite poor for its size.

FloraC: Cleanup and +subsets and supersets

2024-02-21T10:32:16Z

Cleanup and +subsets and supersets

← Older revision		Revision as of 10:32, 21 February 2024
Line 2:		Line 2:
	{{EDO intro\|312}}		{{EDO intro\|312}}

	~~== Theory ==~~		This edo is the first multiple of 12 to have a [[patent val]] [[perfect fifth\|fifth]] that does not correspond to the [[12edo]] fifth of 700 cents. It is strong in the 2.9.15.7 [[subgroup]]. Beyond that, it is harmonic quality is quite poor for its size.
	This ~~EDO~~ is the first multiple of 12 to have a patent val fifth that does not correspond to the 12edo fifth of 700 cents.

	~~It is strong~~ in ~~the 2.7.9.15 subgroup. Beyond that, it's harmonic quality is quite poor (for its size).~~		=== Odd harmonics ===
			{{Harmonics in equal\|312\|columns=12}}

	{{~~Harmonics in equal~~\|312\|~~columns=~~12}}		=== Subsets and supersets ===
			Since 312 factors into {{factorization\|312}}, 312edo has subset edos {{EDOs\| 2, 3, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, and 156 }}. [[624edo]], which doubles it, provides the much needed correction to many of the lower harmonics.

CompactStar at 02:22, 17 June 2023

2023-06-17T02:22:41Z

← Older revision		Revision as of 02:22, 17 June 2023
Line 5:		Line 5:
	This EDO is the first multiple of 12 to have a patent val fifth that does not correspond to the 12edo fifth of 700 cents.		This EDO is the first multiple of 12 to have a patent val fifth that does not correspond to the 12edo fifth of 700 cents.

	It is strong in the 2.7.9.15 subgroup. Beyond that, it's harmonic quality is quite poor.		It is strong in the 2.7.9.15 subgroup. Beyond that, it's harmonic quality is quite poor (for its size).

	{{Harmonics in equal\|312\|columns=12}}		{{Harmonics in equal\|312\|columns=12}}

Eliora: /* Theory */ expand, many multiples of 12 are dual fifth

2023-06-16T22:12:08Z

Theory: expand, many multiples of 12 are dual fifth

← Older revision		Revision as of 22:12, 16 June 2023
Line 3:		Line 3:

	== Theory ==		== Theory ==
			This EDO is the first multiple of 12 to have a patent val fifth that does not correspond to the 12edo fifth of 700 cents.

			It is strong in the 2.7.9.15 subgroup. Beyond that, it's harmonic quality is quite poor.

	{{Harmonics in equal\|312\|columns=12}}		{{Harmonics in equal\|312\|columns=12}}
	~~This EDO is the first multiple of 12 to be a dual-fifth system.~~

Aura: Created page with "{{Infobox ET}} {{EDO intro|312}} == Theory == {{Harmonics in equal|312|columns=12}} This EDO is the first multiple of 12 to be a dual-fifth system."

2023-06-16T12:23:21Z

Created page with "{{Infobox ET}} {{EDO intro|312}} == Theory == {{Harmonics in equal|312|columns=12}} This EDO is the first multiple of 12 to be a dual-fifth system."

New page

{{Infobox ET}}
{{EDO intro|312}}

== Theory ==
{{Harmonics in equal|312|columns=12}}
This EDO is the first multiple of 12 to be a dual-fifth system.