8ed6 - Revision history

BudjarnLambeth: Mathematical interest

2025-08-10T22:19:02Z

Mathematical interest

← Older revision		Revision as of 22:19, 10 August 2025
Line 1:		Line 1:
	{{~~Niche~~}}		{{Mathematical interest}}
	{{Infobox ET}}		{{Infobox ET}}
	{{ED intro}}		{{ED intro}}

Hkm: /* Intervals */

2025-07-18T00:51:30Z

Intervals

← Older revision		Revision as of 00:51, 18 July 2025
Line 38:		Line 38:
	\| 5		\| 5
	\| 1939		\| 1939
	\| 49/16~~, 64/21~~		\| 49/16
	\|-		\|-
	\| 6		\| 6

FloraC: Mark as niche

2025-07-15T17:50:26Z

Mark as niche

← Older revision		Revision as of 17:50, 15 July 2025
Line 1:		Line 1:
			{{Niche}}
	{{Infobox ET}}		{{Infobox ET}}
	{{ED intro}}		{{ED intro}}

FloraC: Cleanup

2025-07-15T17:50:10Z

Cleanup

← Older revision		Revision as of 17:50, 15 July 2025
Line 9:		Line 9:

	== Intervals ==		== Intervals ==
	{\| class="wikitable"		{\| class="wikitable right-2"
	\|-		\|-
	! #		! #
Line 16:		Line 16:
	\|-		\|-
	\| 0		\| 0
	\| 0.000		\| 0
	\| ~~exact~~ 1/1		\| 1/1
	\|-		\|-
	\| 1		\| 1
	\| ~~387.744~~		\| 388
	\| 5/4		\| 5/4
	\|-		\|-
	\| 2		\| 2
	\| 775~~.489~~		\| 775
	\| 25/16~~, 11/7~~		\| 11/7, 25/16
	\|-		\|-
	\| 3		\| 3
	\| 1163~~.233~~		\| 1163
	\|		\|
	\|-		\|-
	\| 4		\| 4
	\| ~~1550.978~~		\| 1551
	\| 22/9		\| 22/9
	\|-		\|-
	\| 5		\| 5
	\| ~~1938.722~~		\| 1939
	\| 64/21~~, 49/16~~		\| 49/16, 64/21
	\|-		\|-
	\| 6		\| 6
	\| 2326~~.466~~		\| 2326
	\|		\|
	\|-		\|-
	\| 7		\| 7
	\| 2714~~.211~~		\| 2714
	\| 24/5		\| 24/5
	\|-		\|-
	\| 8		\| 8
	\| ~~3101.955~~		\| 3102
	\| ~~exact~~ 6/1		\| 6/1
	\|}		\|}

FloraC at 17:49, 15 July 2025

2025-07-15T17:49:07Z

← Older revision		Revision as of 17:49, 15 July 2025
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
	{{ED intro}} It can be thought of as a subset (where the ~5/4 generator is stacked) of the 6/1-eigenmonzo tuning of [[würschmidt]].		{{ED intro}}

			== Theory ==
			8ed6 can be thought of as a subset (where the ~5/4 generator is stacked) of the 6/1-eigenmonzo tuning of [[würschmidt]].

			=== Harmonics ===
			{{Harmonics in equal\|8\|6\|1}}

	== Intervals ==		== Intervals ==
Line 45:		Line 51:
	\| exact 6/1		\| exact 6/1
	\|}		\|}

	~~== Harmonics ==~~
	~~{{Harmonics in equal\|8\|6\|1}}~~

Hkm at 17:39, 15 July 2025

2025-07-15T17:39:13Z

← Older revision		Revision as of 17:39, 15 July 2025
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
	{{ED intro}}		{{ED intro}} It can be thought of as a subset (where the ~5/4 generator is stacked) of the 6/1-eigenmonzo tuning of [[würschmidt]].

	== Intervals ==		== Intervals ==

Hkm at 17:35, 15 July 2025

2025-07-15T17:35:08Z

← Older revision		Revision as of 17:35, 15 July 2025
Line 15:		Line 15:
	\| 1		\| 1
	\| 387.744		\| 387.744
	\| 5/4~~, 4/3, 6/5, 7/6, 9/7, 10/7, 9/8, 11/9, 11/10, 12/11~~		\| 5/4
	\|-		\|-
	\| 2		\| 2
	\| 775.489		\| 775.489
	\| 3/2, 11/7		\| 25/16, 11/7
	\|-		\|-
	\| 3		\| 3
	\| 1163.233		\| 1163.233
	\| ~~2/1~~		\|
	\|-		\|-
	\| 4		\| 4
	\| 1550.978		\| 1550.978
	\| 5/~~2, 7/3~~		\| 22/9
	\|-		\|-
	\| 5		\| 5
	\| 1938.722		\| 1938.722
	\| 3/1		\| 64/21, 49/16
	\|-		\|-
	\| 6		\| 6
	\| 2326.466		\| 2326.466
	\| ~~4/1~~		\|
	\|-		\|-
	\| 7		\| 7
	\| 2714.211		\| 2714.211
	\| 5/1		\| 24/5
	\|-		\|-
	\| 8		\| 8

ArrowHead294: /* Harmonics */

2025-07-15T17:23:42Z

Harmonics

← Older revision		Revision as of 17:23, 15 July 2025
Line 47:		Line 47:

	== Harmonics ==		== Harmonics ==
	{\| ~~class="wikitable"~~		{{Harmonics in equal\|8\|6\|1}}
	\|-
	~~! #~~
	~~! 2~~
	~~! 3~~
	~~! 4~~
	~~! 5~~
	~~! 6~~
	~~! 7~~
	! 8
	~~! 9~~
	~~! 10~~
	~~! 11~~
	~~! 12~~
	\|-
	~~\| Steps~~
	~~\| 3~~
	~~\| 5~~
	~~\| 6~~
	~~\| 7~~
	~~\| 8~~
	~~\| 9~~
	~~\| 9~~
	~~\| 10~~
	~~\| 10~~
	~~\| 11~~
	~~\| 11~~
	\|-
	~~\| Reduced~~
	~~\| 3~~
	~~\| 5~~
	\| 6
	~~\| 7~~
	~~\| 0~~
	\| 1
	~~\| 1~~
	~~\| 2~~
	~~\| 2~~
	~~\| 3~~
	~~\| 3~~
	\|}

ArrowHead294: Formatting

2025-07-15T17:23:21Z

Formatting

← Older revision		Revision as of 17:23, 15 July 2025
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}

	{{ED intro}}		{{ED intro}}

	== Intervals ==		== Intervals ==
	{\| class="wikitable"		{\| class="wikitable"
	\|+
	!#
	~~!Cents~~
	~~!Approximate JI ratio(s)~~
	\|-		\|-
	\|0		! #
	~~\|0.000~~		! Cents
	~~\|exact 1/1~~		! Approximate JI ratio(s)
	\|-		\|-
	\|1		\| 0
	\|~~387~~.~~744~~		\| 0.000
	\|5/~~4, 4/3, 6/5, 7/6, 9/7, 10/7, 9/8, 11/9, 11/10, 12/11~~		\| exact 1/1
	\|-		\|-
	\|2		\| 1
	\|~~775~~.~~489~~		\| 387.744
	\|3/2, 11/7		\| 5/4, 4/3, 6/5, 7/6, 9/7, 10/7, 9/8, 11/9, 11/10, 12/11
	\|-		\|-
	\|3		\| 2
	\|~~1163~~.~~233~~		\| 775.489
	\|2/1		\| 3/2, 11/7
	\|-		\|-
	\|4		\| 3
	\|~~1550~~.~~978~~		\| 1163.233
	\|5/2~~, 7~~/3		\| 2/1
	\|-		\|-
	\|5		\| 4
	\|~~1938~~.~~722~~		\| 1550.978
	\|3/1		\| 5/2, 7/3
	\|-		\|-
	\|6		\| 5
	\|~~2326~~.~~466~~		\| 1938.722
	\|4/1		\| 3/1
	\|-		\|-
	\|7		\| 6
	\|~~2714~~.~~211~~		\| 2326.466
	\|5/1		\| 4/1
	\|-		\|-
	\|8		\| 7
	\|3101.955		\| 2714.211
	\|exact 6/1		\| 5/1
			\|-
			\| 8
			\| 3101.955
			\| exact 6/1
	\|}		\|}

	== Harmonics ==		== Harmonics ==
	{\| class="wikitable"		{\| class="wikitable"
	\|+
	!#
	!2
	!3
	!4
	!5
	!6
	!7
	!8
	!9
	~~!10~~
	~~!11~~
	~~!12~~
	\|-		\|-
	\|Steps		! #
	\|3		! 2
	\|5		! 3
	\|6		! 4
	\|7		! 5
	\|8		! 6
	\|9		! 7
	\|9		! 8
	\|10		! 9
	\|10		! 10
	\|11		! 11
	\|11		! 12
			\|-
			\| Steps
			\| 3
			\| 5
			\| 6
			\| 7
			\| 8
			\| 9
			\| 9
			\| 10
			\| 10
			\| 11
			\| 11
	\|-		\|-
	\|Reduced		\| Reduced
	\|3		\| 3
	\|5		\| 5
	\|6		\| 6
	\|7		\| 7
	\|0		\| 0
	\|1		\| 1
	\|1		\| 1
	\|2		\| 2
	\|2		\| 2
	\|3		\| 3
	\|3		\| 3
	\|}		\|}

MisterShafXen: Created page with "{{Infobox ET}} {{ED intro}} == Intervals == {| class="wikitable" |+ !# !Cents !Approximate JI ratio(s) |- |0 |0.000 |exact 1/1 |- |1 |387.744 |5/4, 4/3, 6/5, 7/6, 9/7, 10/7, 9/8, 11/9, 11/10, 12/11 |- |2 |775.489 |3/2, 11/7 |- |3 |1163.233 |2/1 |- |4 |1550.978 |5/2, 7/3 |- |5 |1938.722 |3/1 |- |6 |2326.466 |4/1 |- |7 |2714.211 |5/1 |- |8 |3101.955 |exact 6/1 |} == Harmonics == {| class="wikitable" |+ !# !2 !3 !4 !5 !6 !7 !8 !9 !10 !11 !12 |- |Steps |3 |5 |6 |7 |8 |9..."

2025-07-15T11:42:15Z

Created page with "{{Infobox ET}} {{ED intro}} == Intervals == {| class="wikitable" |+ !# !Cents !Approximate JI ratio(s) |- |0 |0.000 |exact 1/1 |- |1 |387.744 |5/4, 4/3, 6/5, 7/6, 9/7, 10/7, 9/8, 11/9, 11/10, 12/11 |- |2 |775.489 |3/2, 11/7 |- |3 |1163.233 |2/1 |- |4 |1550.978 |5/2, 7/3 |- |5 |1938.722 |3/1 |- |6 |2326.466 |4/1 |- |7 |2714.211 |5/1 |- |8 |3101.955 |exact 6/1 |} == Harmonics == {| class="wikitable" |+ !# !2 !3 !4 !5 !6 !7 !8 !9 !10 !11 !12 |- |Steps |3 |5 |6 |7 |8 |9..."

New page

{{Infobox ET}}

{{ED intro}}

== Intervals ==
{| class="wikitable"
|+
!#
!Cents
!Approximate JI ratio(s)
|-
|0
|0.000
|exact 1/1
|-
|1
|387.744
|5/4, 4/3, 6/5, 7/6, 9/7, 10/7, 9/8, 11/9, 11/10, 12/11
|-
|2
|775.489
|3/2, 11/7
|-
|3
|1163.233
|2/1
|-
|4
|1550.978
|5/2, 7/3
|-
|5
|1938.722
|3/1
|-
|6
|2326.466
|4/1
|-
|7
|2714.211
|5/1
|-
|8
|3101.955
|exact 6/1
|}

== Harmonics ==
{| class="wikitable"
|+
!#
!2
!3
!4
!5
!6
!7
!8
!9
!10
!11
!12
|-
|Steps
|3
|5
|6
|7
|8
|9
|9
|10
|10
|11
|11
|-
|Reduced
|3
|5
|6
|7
|0
|1
|1
|2
|2
|3
|3
|}