15ed7/3 - Revision history

FloraC: Re-organize & unify precisions

2026-05-14T18:03:27Z

Re-organize & unify precisions

← Older revision		Revision as of 18:03, 14 May 2026
Line 1:		Line 1:
	{{Stub}}		{{Stub}}
	{{Infobox ET}}		{{Infobox ET}}
	{{ED intro}} The chord [0 5 9]\15ed7/3, closely resembling the 5-limit major triad of [[15edo]], is a close approximation in this tuning system to [[3:4:5]]. A potentially tempered 15ed7/3 chain with octaves as the equivalence results in [[passion]] temperament, with 3:4:5:7 located on the same position that it is in 15ed7/3.		{{ED intro}}

			== Theory ==
			The chord [0 5 9]\15ed7/3, closely resembling the 5-limit major triad of [[15edo]], is a close approximation in this tuning system to [[3:4:5]]. A potentially tempered 15ed7/3 chain with octaves as the equivalence results in [[passion]] temperament, with 3:4:5:7 located on the same position that it is in 15ed7/3.

			=== Harmonics ===
			{{Harmonics in equal\|15\|7\|3\|columns=11}}
			{{Harmonics in equal\|15\|7\|3\|columns=12\|start=12\|collapsed=1\|title=Approximation of harmonics in 11ed7/3 (continued)}}

	== Intervals ==		== Intervals ==
	{\| class="wikitable"		{\| class="wikitable center-1 right-2"
	!~~Degrees~~		! #
	!~~ed7/3~~		! Cents
	\|-		\|-
	\|1		\| 1
	\|97.~~7914~~		\| 97.8
	\|-		\|-
	\|2		\| 2
	\|195.~~5828~~		\| 195.6
	\|-		\|-
	\|3		\| 3
	\|293.~~3742~~		\| 293.4
	\|-		\|-
	\|4		\| 4
	\|391.~~1656~~		\| 391.2
	\|-		\|-
	\|5		\| 5
	\|~~488~~.~~957~~		\| 489.0
	\|-		\|-
	\|6		\| 6
	\|586.~~7484~~		\| 586.7
	\|-		\|-
	\|7		\| 7
	\|684.~~5398~~		\| 684.5
	\|-		\|-
	\|8		\| 8
	\|782.~~33115~~		\| 782.3
	\|-		\|-
	\|9		\| 9
	\|880.~~1225~~		\| 880.1
	\|-		\|-
	\|10		\| 10
	\|977.~~9139~~		\| 977.9
	\|-		\|-
	\|11		\| 11
	\|1075.~~7053~~		\| 1075.7
	\|-		\|-
	\|12		\| 12
	\|1173.~~4967~~		\| 1173.5
	\|-		\|-
	\|13		\| 13
	\|1271.~~2881~~		\| 1271.3
	\|-		\|-
	\|14		\| 14
	\|1369.~~0795~~		\| 1369.1
	\|-		\|-
	\|15		\| 15
	\|1466.~~8709~~		\| 1466.9
	\|}		\|}

	~~== Harmonics ==~~
	~~{{Harmonics in equal~~
	~~\| steps = 15~~
	~~\| num = 7~~
	~~\| denom = 3~~
	}}
	~~{{Harmonics in equal~~
	~~\| steps = 15~~
	~~\| num = 7~~
	~~\| denom = 3~~
	~~\| start = 12~~
	~~\| collapsed = 1~~
	}}

Lériendil at 21:30, 13 May 2026

2026-05-13T21:30:17Z

← Older revision		Revision as of 21:30, 13 May 2026
Line 1:		Line 1:
	{{Stub}}		{{Stub}}
	{{Infobox ET}}		{{Infobox ET}}
	{{ED intro}}		{{ED intro}} The chord [0 5 9]\15ed7/3, closely resembling the 5-limit major triad of [[15edo]], is a close approximation in this tuning system to [[3:4:5]]. A potentially tempered 15ed7/3 chain with octaves as the equivalence results in [[passion]] temperament, with 3:4:5:7 located on the same position that it is in 15ed7/3.

	== Intervals ==		== Intervals ==

BudjarnLambeth: Intro harmonics

2024-10-05T07:38:15Z

Intro harmonics

← Older revision		Revision as of 07:38, 5 October 2024
Line 1:		Line 1:
			{{Stub}}
	{{Infobox ET}}		{{Infobox ET}}
	~~'''15ed7/3''' is the equal division of the [[7/3]] interval into 15 parts of 97.7914 [[cent]]s each..~~		{{ED intro}}

	== Intervals ==		== Intervals ==
Line 53:		Line 54:
	\|}		\|}

	~~[[Category:Ed7/~~3]]		== Harmonics ==
	~~[[Category:Nonoctave]]~~		{{Harmonics in equal
			\| steps = 15
			\| num = 7
			\| denom = 3
			}}
			{{Harmonics in equal
			\| steps = 15
			\| num = 7
			\| denom = 3
			\| start = 12
			\| collapsed = 1
			}}

Moremajorthanmajor: /* Intervals */

2023-05-16T00:12:15Z

Intervals

← Older revision		Revision as of 00:12, 16 May 2023
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	\|-		\|-
	\|9		\|9
	\|880(.1225)		\|880.1225
	\|-		\|-
	\|10		\|10

CompactStar at 00:38, 9 May 2023

2023-05-09T00:38:20Z

← Older revision		Revision as of 00:38, 9 May 2023
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
	''15ed7/3'' is the equal division of the [[7/3]] interval into 15 parts of 97.7914 [[cent]]s each..		'''15ed7/3''' is the equal division of the [[7/3]] interval into 15 parts of 97.7914 [[cent]]s each..

	== Intervals ==		== Intervals ==

CompactStar at 00:38, 9 May 2023

2023-05-09T00:38:07Z

← Older revision		Revision as of 00:38, 9 May 2023
Line 11:		Line 11:
	\|-		\|-
	\|2		\|2
	\|~~195.{{Overline\|5}}~~		\|195.5828
	195.5828
	\|-		\|-
	\|3		\|3

CompactStar: It won't let me move the page so this will have to do I guess?

2023-05-09T00:38:00Z

It won't let me move the page so this will have to do I guess?

← Older revision	Revision as of 00:38, 9 May 2023
Line 1:	Line 1:
		{{Infobox ET}}
		''15ed7/3'' is the equal division of the [[7/3]] interval into 15 parts of 97.7914 [[cent]]s each..

		== Intervals ==
		{\| class="wikitable"
		!Degrees
		!ed7/3
		\|-
		\|1
		\|97.7914
		\|-
		\|2
		\|195.{{Overline\|5}}
		195.5828
		\|-
		\|3
		\|293.3742
		\|-
		\|4
		\|391.1656
		\|-
		\|5
		\|488.957
		\|-
		\|6
		\|586.7484
		\|-
		\|7
		\|684.5398
		\|-
		\|8
		\|782.33115
		\|-
		\|9
		\|880(.1225)
		\|-
		\|10
		\|977.9139
		\|-
		\|11
		\|1075.7053
		\|-
		\|12
		\|1173.4967
		\|-
		\|13
		\|1271.2881
		\|-
		\|14
		\|1369.0795
		\|-
		\|15
		\|1466.8709
		\|}

		[[Category:Ed7/3]]
		[[Category:Nonoctave]]

CompactStar: this page needs to be blanked so I can make room for actual ed7/3 page

2023-05-09T00:37:16Z

this page needs to be blanked so I can make room for actual ed7/3 page

← Older revision		Revision as of 00:37, 9 May 2023
Line 1:		Line 1:
	~~#REDIRECT [[User:Moremajorthanmajor/15ed7/3]]~~

Xenwolf: Xenwolf moved page 15ed7/3 to User:Moremajorthanmajor/15ed7/3: not ready for article namespace

2022-02-26T14:18:54Z

Xenwolf moved page 15ed7/3 to User:Moremajorthanmajor/15ed7/3: not ready for article namespace

New page

#REDIRECT [[User:Moremajorthanmajor/15ed7/3]]