19ed5 - Revision history

Fredg999 category edits: Removing from Category:Edonoi using Cat-a-lot

2025-08-01T19:20:41Z

Removing from Category:Edonoi using Cat-a-lot

← Older revision		Revision as of 19:20, 1 August 2025
Line 131:		Line 131:
	* [[23ed7\|23ED7]]: relative ED7		* [[23ed7\|23ED7]]: relative ED7

	~~[[Category:Edonoi]]~~
	[[Category:Bohlen–Pierce]]		[[Category:Bohlen–Pierce]]
	[[Category:Bohpier]]		[[Category:Bohpier]]

Fredg999 category edits: Removing from Category:Ed5 using Cat-a-lot

2025-08-01T18:39:02Z

Removing from Category:Ed5 using Cat-a-lot

← Older revision		Revision as of 18:39, 1 August 2025
Line 131:		Line 131:
	* [[23ed7\|23ED7]]: relative ED7		* [[23ed7\|23ED7]]: relative ED7

	~~[[Category:Ed5]]~~
	[[Category:Edonoi]]		[[Category:Edonoi]]
	[[Category:Bohlen–Pierce]]		[[Category:Bohlen–Pierce]]
	[[Category:Bohpier]]		[[Category:Bohpier]]

ArrowHead294 at 13:00, 10 March 2025

2025-03-10T13:00:16Z

← Older revision		Revision as of 13:00, 10 March 2025
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
	~~'''[[Ed5\|Division of the 5th harmonic]] into 19 equal parts''' (~~19ED5) is related to the [[13edt\|~~Bohlen-Pierce~~ scale]], but with the 5/1 rather than the 3/1 being just. The step size is about 146.6481 ~~cents~~, corresponding to 8.1829 [[EDO]]. It provides 5, 7, 13, and 15-odd-limit minimax generator for the [[bohpier]] temperament.		{{ED intro}}

			19ED5 is related to the [[13edt\|Bohlen–Pierce scale]], but with the 5/1 rather than the 3/1 being just. The step size is about 146.6481{{c}}, corresponding to 8.1829[[EDO]]. It provides 5, 7, 13, and 15-odd-limit minimax generator for the [[bohpier]] temperament.

	== Intervals ==		== Intervals ==
Line 126:		Line 128:

	== See also ==		== See also ==
	* [[13edt\|13ED3]]: relative ED3 (~~Bohlen-Pierce~~ scale)		* [[13edt\|13ED3]]: relative ED3 (Bohlen–Pierce scale)
	* [[23ed7\|23ED7]]: relative ED7		* [[23ed7\|23ED7]]: relative ED7

ArrowHead294 at 12:58, 10 March 2025

2025-03-10T12:58:36Z

← Older revision		Revision as of 12:58, 10 March 2025
Line 5:		Line 5:
	{\| class="wikitable"		{\| class="wikitable"
	\|-		\|-
	! ~~\| degree~~		! Degree
	! ~~\| cents value~~		! Cents
	! ~~\| corresponding~~ <br>JI intervals		! Corresponding<br />JI intervals
	! ~~\| comments~~		! Comments
	\|-		\|-
	\| \| 0		\| 0
	\| \| 0.0000		\| 0.0000
	\| \| '''exact [[1/1]]'''		\| '''exact [[1/1]]'''
	\| \|		\|
	\|-		\|-
	\| \| 1		\| 1
	\| \| 146.6481		\| 146.6481
	\| \| [[49/45]]		\| [[49/45]]
	\| \|		\|
	\|-		\|-
	\| \| 2		\| 2
	\| \| 293.2962		\| 293.2962
	\| \| [[13/11]]		\| [[13/11]]
	\| \|		\|
	\|-		\|-
	\| \| 3		\| 3
	\| \| 439.9443		\| 439.9443
	\| \| [[9/7]]		\| [[9/7]]
	\| \|		\|
	\|-		\|-
	\| \| 4		\| 4
	\| \| 586.5924		\| 586.5924
	\| \| [[7/5]]		\| [[7/5]]
	\| \|		\|
	\|-		\|-
	\| \| 5		\| 5
	\| \| 733.2405		\| 733.2405
	\| \| [[49/32]]		\| [[49/32]]
	\| \|		\|
	\|-		\|-
	\| \| 6		\| 6
	\| \| 879.8885		\| 879.8885
	\| \| [[5/3]]		\| [[5/3]]
	\| \|		\|
	\|-		\|-
	\| \| 7		\| 7
	\| \| 1026.5366		\| 1026.5366
	\| \| [[9/5]]		\| [[9/5]]
	\| \|		\|
	\|-		\|-
	\| \| 8		\| 8
	\| \| 1173.1847		\| 1173.1847
	\| \| 63/32		\| 63/32
	\| \|		\|
	\|-		\|-
	\| \| 9		\| 9
	\| \| 1319.8328		\| 1319.8328
	\| \| [[15/7]]		\| [[15/7]]
	\| \|		\|
	\|-		\|-
	\| \| 10		\| 10
	\| \| 1466.4809		\| 1466.4809
	\| \| [[7/3]]		\| [[7/3]]
	\| \|		\|
	\|-		\|-
	\| \| 11		\| 11
	\| \| 1613.1290		\| 1613.1290
	\| \| [[14/11\|28/11]]		\| [[14/11\|28/11]]
	\| \|		\|
	\|-		\|-
	\| \| 12		\| 12
	\| \| 1759.7771		\| 1759.7771
	\| \| [[11/4]]		\| [[11/4]]
	\| \|		\|
	\|-		\|-
	\| \| 13		\| 13
	\| \| 1906.4252		\| 1906.4252
	\| \| [[3/1]]		\| [[3/1]]
	\| \|		\|
	\|-		\|-
	\| \| 14		\| 14
	\| \| 2053.0733		\| 2053.0733
	\| \| 49/15		\| 49/15
	\| \|		\|
	\|-		\|-
	\| \| 15		\| 15
	\| \| 2199.7214		\| 2199.7214
	\| \| 32/9		\| 32/9
	\| \|		\|
	\|-		\|-
	\| \| 16		\| 16
	\| \| 2346.3694		\| 2346.3694
	\| \| 35/9		\| 35/9
	\| \|		\|
	\|-		\|-
	\| \| 17		\| 17
	\| \| 2493.0175		\| 2493.0175
	\| \| [[21/20\|21/5]]		\| [[21/20\|21/5]]
	\| \|		\|
	\|-		\|-
	\| \| 18		\| 18
	\| \| 2639.6656		\| 2639.6656
	\| \| [[8/7\|32/7]]		\| [[8/7\|32/7]]
	\| \|		\|
	\|-		\|-
	\| \| 19		\| 19
	\| \| 2786.3137		\| 2786.3137
	\| \| '''exact [[5/1]]'''		\| '''exact [[5/1]]'''
	\| \| just major third plus two octaves		\| just major third plus two octaves
	\|}		\|}

Line 131:		Line 131:
	[[Category:Ed5]]		[[Category:Ed5]]
	[[Category:Edonoi]]		[[Category:Edonoi]]
	[[Category:~~Bohlen-Pierce~~]]		[[Category:Bohlen–Pierce]]
	[[Category:Bohpier]]		[[Category:Bohpier]]

BudjarnLambeth: Harmonics

2024-10-06T01:17:48Z

Harmonics

@@ Line 2: / Line 2: @@
 '''[[Ed5|Division of the 5th harmonic]] into 19 equal parts''' (19ED5) is related to the [[13edt|Bohlen-Pierce scale]], but with the 5/1 rather than the 3/1 being just. The step size is about 146.6481 cents, corresponding to 8.1829 [[EDO]]. It provides 5, 7, 13, and 15-odd-limit minimax generator for the [[bohpier]] temperament.
 {| class="wikitable"
 |-
@@ Line 109: / Line 110: @@
 | | just major third plus two octaves
 |}
 == See also ==

Plumtree: Infobox ET added

2022-10-05T20:39:08Z

Infobox ET added

← Older revision		Revision as of 20:39, 5 October 2022
Line 1:		Line 1:
			{{Infobox ET}}
	'''[[Ed5\|Division of the 5th harmonic]] into 19 equal parts''' (19ED5) is related to the [[13edt\|Bohlen-Pierce scale]], but with the 5/1 rather than the 3/1 being just. The step size is about 146.6481 cents, corresponding to 8.1829 [[EDO]]. It provides 5, 7, 13, and 15-odd-limit minimax generator for the [[bohpier]] temperament.		'''[[Ed5\|Division of the 5th harmonic]] into 19 equal parts''' (19ED5) is related to the [[13edt\|Bohlen-Pierce scale]], but with the 5/1 rather than the 3/1 being just. The step size is about 146.6481 cents, corresponding to 8.1829 [[EDO]]. It provides 5, 7, 13, and 15-odd-limit minimax generator for the [[bohpier]] temperament.

Xenllium at 12:37, 30 July 2021

2021-07-30T12:37:24Z

← Older revision		Revision as of 12:37, 30 July 2021
Line 108:		Line 108:
	\| \| just major third plus two octaves		\| \| just major third plus two octaves
	\|}		\|}

			== See also ==
			* [[13edt\|13ED3]]: relative ED3 (Bohlen-Pierce scale)
			* [[23ed7\|23ED7]]: relative ED7

	[[Category:Ed5]]		[[Category:Ed5]]

Xenllium: Created page with "'''Division of the 5th harmonic into 19 equal parts''' (19ED5) is related to the Bohlen-Pierce scale, but with the 5/1 rather than the 3/1 being just. The st..."

2021-07-30T12:35:40Z

Created page with "'''Division of the 5th harmonic into 19 equal parts''' (19ED5) is related to the Bohlen-Pierce scale, but with the 5/1 rather than the 3/1 being just. The st..."

New page

'''[[Ed5|Division of the 5th harmonic]] into 19 equal parts''' (19ED5) is related to the [[13edt|Bohlen-Pierce scale]], but with the 5/1 rather than the 3/1 being just. The step size is about 146.6481 cents, corresponding to 8.1829 [[EDO]]. It provides 5, 7, 13, and 15-odd-limit minimax generator for the [[bohpier]] temperament.

{| class="wikitable"
|-
! | degree
! | cents value
! | corresponding <br>JI intervals
! | comments
|-
| | 0
| | 0.0000
| | '''exact [[1/1]]'''
| |
|-
| | 1
| | 146.6481
| | [[49/45]]
| |
|-
| | 2
| | 293.2962
| | [[13/11]]
| |
|-
| | 3
| | 439.9443
| | [[9/7]]
| |
|-
| | 4
| | 586.5924
| | [[7/5]]
| |
|-
| | 5
| | 733.2405
| | [[49/32]]
| |
|-
| | 6
| | 879.8885
| | [[5/3]]
| |
|-
| | 7
| | 1026.5366
| | [[9/5]]
| |
|-
| | 8
| | 1173.1847
| | 63/32
| |
|-
| | 9
| | 1319.8328
| | [[15/7]]
| |
|-
| | 10
| | 1466.4809
| | [[7/3]]
| |
|-
| | 11
| | 1613.1290
| | [[14/11|28/11]]
| |
|-
| | 12
| | 1759.7771
| | [[11/4]]
| |
|-
| | 13
| | 1906.4252
| | [[3/1]]
| |
|-
| | 14
| | 2053.0733
| | 49/15
| |
|-
| | 15
| | 2199.7214
| | 32/9
| |
|-
| | 16
| | 2346.3694
| | 35/9
| |
|-
| | 17
| | 2493.0175
| | [[21/20|21/5]]
| |
|-
| | 18
| | 2639.6656
| | [[8/7|32/7]]
| |
|-
| | 19
| | 2786.3137
| | '''exact [[5/1]]'''
| | just major third plus two octaves
|}

[[Category:Ed5]]
[[Category:Edonoi]]
[[Category:Bohlen-Pierce]]
[[Category:Bohpier]]