310edo - Revision history

Overthink: Added more theory

2025-10-14T17:31:29Z

Added more theory

← Older revision		Revision as of 17:31, 14 October 2025
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
	{{ED intro}}		{{ED intro}}

			== Theory ==
			It inherits its 2.5.7 subgroup from 31edo. It is usable in the 2.5.7.13(.15).17.19 subgroup, being consistent in the tonality diamond of {1, 5, 7, 13, 15, 17, 19}. Note that adding harmonic 15 to the subgroup would be the same as adding harmonic 3, but many ratios of 15 are well represented, especially [[15/13]]. For that reason [[3/2]] is in that diamond, but other intervals of 3 are not. A notable chord using these odds is the 10:13:15 triad, though a much better system of around the same size to utilise it is [[313edo]], which tempers out [[676/675]]. While this system could be interesting, its is nowhere near the best of its size, and for most purposes [[311edo]] is better instead.

	It is part of the [[optimal ET sequence]] for the [[31-5-commatic]], [[fantastic]], [[quadrasruta]] and [[wizard]] temperaments.		It is part of the [[optimal ET sequence]] for the [[31-5-commatic]], [[fantastic]], [[quadrasruta]] and [[wizard]] temperaments.
Line 8:		Line 11:
	== Odd harmonics ==		== Odd harmonics ==
	{{Harmonics in equal\|310}}		{{Harmonics in equal\|310}}

	~~{{todo\|expand}}~~

Francium: changed EDO intro to ED intro

2025-02-20T07:02:27Z

changed EDO intro to ED intro

← Older revision		Revision as of 07:02, 20 February 2025
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|310~~}}		{{ED intro}}

	It is part of the [[optimal ET sequence]] for the [[31-5-commatic]], [[fantastic]], [[quadrasruta]] and [[wizard]] temperaments.		It is part of the [[optimal ET sequence]] for the [[31-5-commatic]], [[fantastic]], [[quadrasruta]] and [[wizard]] temperaments.

BudjarnLambeth: Move from stub to todo:expand - it’s right on the border but I think there’s enough to build upon that the type of editor who enjoys working on todo:expand stuff will prefer it over the type who enjoys working on stubs

2024-12-25T19:27:29Z

Move from stub to todo:expand - it’s right on the border but I think there’s enough to build upon that the type of editor who enjoys working on todo:expand stuff will prefer it over the type who enjoys working on stubs

← Older revision		Revision as of 19:27, 25 December 2024
Line 9:		Line 9:
	{{Harmonics in equal\|310}}		{{Harmonics in equal\|310}}

	{{~~Stub~~}}		{{todo\|expand}}

BudjarnLambeth at 00:54, 21 September 2024

2024-09-21T00:54:06Z

← Older revision		Revision as of 00:54, 21 September 2024
Line 2:		Line 2:
	{{EDO intro\|310}}		{{EDO intro\|310}}

	It is part of the [[optimal ET sequence]] for the [[31-5-commatic]], [[fantastic]], [[quadrasruta]] and [[wizard]] temperaments~~. As a multiple of 10 and 31, it supports many [[10th-octave temperaments]] and [[31st-octave temperaments]]~~.		It is part of the [[optimal ET sequence]] for the [[31-5-commatic]], [[fantastic]], [[quadrasruta]] and [[wizard]] temperaments.

	== ~~Harmonics~~ ==		As a multiple of 10 and 31, it supports many [[10th-octave temperaments]] and [[31st-octave temperaments]].

			== Odd harmonics ==
	{{Harmonics in equal\|310}}		{{Harmonics in equal\|310}}

	{{Stub}}		{{Stub}}

BudjarnLambeth: +table and mention of nth-octave temperaments

2024-09-21T00:53:31Z

+table and mention of nth-octave temperaments

← Older revision		Revision as of 00:53, 21 September 2024
Line 2:		Line 2:
	{{EDO intro\|310}}		{{EDO intro\|310}}

	It is part of the [[optimal ET sequence]] for the [[31-5-commatic]], [[fantastic]], [[quadrasruta]] and [[wizard]] temperaments.		It is part of the [[optimal ET sequence]] for the [[31-5-commatic]], [[fantastic]], [[quadrasruta]] and [[wizard]] temperaments. As a multiple of 10 and 31, it supports many [[10th-octave temperaments]] and [[31st-octave temperaments]].

			== Harmonics ==
			{{Harmonics in equal\|310}}

	{{Stub}}		{{Stub}}

BudjarnLambeth: + It is part of the optimal ET sequence for the 31-5-commatic, fantastic, quadrasruta and wizard temperaments.

2024-09-21T00:51:55Z

+ It is part of the optimal ET sequence for the 31-5-commatic, fantastic, quadrasruta and wizard temperaments.

← Older revision		Revision as of 00:51, 21 September 2024
Line 2:		Line 2:
	{{EDO intro\|310}}		{{EDO intro\|310}}

			It is part of the [[optimal ET sequence]] for the [[31-5-commatic]], [[fantastic]], [[quadrasruta]] and [[wizard]] temperaments.

	{{Stub}}		{{Stub}}

FloraC: Mark stub

2023-09-24T04:59:47Z

Mark stub

← Older revision		Revision as of 04:59, 24 September 2023
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
	{{EDO intro\|310}}		{{EDO intro\|310}}


			{{Stub}}

CompactStar: Created page with "{{Infobox ET}} {{EDO intro|310}}"

2023-08-30T04:07:52Z

Created page with "{{Infobox ET}} {{EDO intro|310}}"

New page