39ed5 - Revision history

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

2025-08-01T19:21:59Z

Removing from Category:Edonoi using Cat-a-lot

← Older revision		Revision as of 19:21, 1 August 2025
Line 226:		Line 226:
	}}		}}

	~~[[Category:Edonoi]]~~
	[[Category:Hyperpyth]]		[[Category:Hyperpyth]]
	{{todo\|expand}}		{{todo\|expand}}

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

2025-08-01T18:39:06Z

Removing from Category:Ed5 using Cat-a-lot

← Older revision		Revision as of 18:39, 1 August 2025
Line 226:		Line 226:
	}}		}}

	~~[[Category:Ed5]]~~
	[[Category:Edonoi]]		[[Category:Edonoi]]
	[[Category:Hyperpyth]]		[[Category:Hyperpyth]]
	{{todo\|expand}}		{{todo\|expand}}

BudjarnLambeth: {{todo|expand}} & collapsible table

2024-12-22T04:06:59Z

{{todo|expand}} & collapsible table

← Older revision		Revision as of 04:06, 22 December 2024
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	== Intervals ==		== Intervals ==
	{\| class="wikitable"		{\| class="wikitable mw-collapsible"
			\|+ Intervals of 39ed5
	\|-		\|-
	! \| degree		! \| degree
Line 228:		Line 229:
	[[Category:Edonoi]]		[[Category:Edonoi]]
	[[Category:Hyperpyth]]		[[Category:Hyperpyth]]
			{{todo\|expand}}

BudjarnLambeth: Harmonics

2024-10-06T01:28:14Z

Harmonics

← Older revision		Revision as of 01:28, 6 October 2024
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	'''[[Ed5\|Division of the 5th harmonic]] into 39 equal parts''' (39ED5) is a good [[hyperpyth]] tuning. The step size about 71.4439 cents. It is compared to every fifth step of [[84edo\|84EDO]], but with the 5/1 rather than the 2/1 being just.		'''[[Ed5\|Division of the 5th harmonic]] into 39 equal parts''' (39ED5) is a good [[hyperpyth]] tuning. The step size about 71.4439 cents. It is compared to every fifth step of [[84edo\|84EDO]], but with the 5/1 rather than the 2/1 being just.

			== Intervals ==
	{\| class="wikitable"		{\| class="wikitable"
	\|-		\|-
Line 209:		Line 210:
	\| \| just major third plus two octaves		\| \| just major third plus two octaves
	\|}		\|}

			== Harmonics ==
			{{Harmonics in equal
			\| steps = 39
			\| num = 5
			\| denom = 1
			}}
			{{Harmonics in equal
			\| steps = 39
			\| num = 5
			\| denom = 1
			\| start = 12
			\| collapsed = 1
			}}

	[[Category:Ed5]]		[[Category:Ed5]]
	[[Category:Edonoi]]		[[Category:Edonoi]]
	[[Category:Hyperpyth]]		[[Category:Hyperpyth]]

Plumtree: Infobox ET added

2022-10-05T20:41:53Z

Infobox ET added

← Older revision		Revision as of 20:41, 5 October 2022
Line 1:		Line 1:
			{{Infobox ET}}
	'''[[Ed5\|Division of the 5th harmonic]] into 39 equal parts''' (39ED5) is a good [[hyperpyth]] tuning. The step size about 71.4439 cents. It is compared to every fifth step of [[84edo\|84EDO]], but with the 5/1 rather than the 2/1 being just.		'''[[Ed5\|Division of the 5th harmonic]] into 39 equal parts''' (39ED5) is a good [[hyperpyth]] tuning. The step size about 71.4439 cents. It is compared to every fifth step of [[84edo\|84EDO]], but with the 5/1 rather than the 2/1 being just.

Xenllium at 01:05, 29 August 2021

2021-08-29T01:05:42Z

← Older revision		Revision as of 01:05, 29 August 2021
Line 1:		Line 1:
	'''[[Ed5\|Division of the 5th harmonic]] into 39 equal parts''' (~~39ed5~~) is a good [[hyperpyth]] tuning. The step size about 71.4439 cents. It is compared to every fifth step of [[84edo]], but with the 5/1 rather than the 2/1 being just.		'''[[Ed5\|Division of the 5th harmonic]] into 39 equal parts''' (39ED5) is a good [[hyperpyth]] tuning. The step size about 71.4439 cents. It is compared to every fifth step of [[84edo\|84EDO]], but with the 5/1 rather than the 2/1 being just.

	{\| class="wikitable"		{\| class="wikitable"
Line 15:		Line 15:
	\| \| 1		\| \| 1
	\| \| 71.4439		\| \| 71.4439
	\| \| [[25/24]], 24/23		\| \| [[25/24]], [[24/23]]
	\| \|		\| \|
	\|-		\|-
	\| \| 2		\| \| 2
	\| \| 142.8879		\| \| 142.8879
	\| \| 38/35, 25/23		\| \| 38/35, [[25/23]]
	\| \|		\| \|
	\|-		\|-
	\| \| 3		\| \| 3
	\| \| 214.3318		\| \| 214.3318
	\| \| 26/23, 43/38, 60/53, [[17/15]]		\| \| [[26/23]], 43/38, 60/53, [[17/15]]
	\| \|		\| \|
	\|-		\|-
Line 70:		Line 70:
	\| \| 12		\| \| 12
	\| \| 857.3273		\| \| 857.3273
	\| \| 41/25, 23/14		\| \| 41/25, [[23/14]]
	\| \|		\| \|
	\|-		\|-
Line 105:		Line 105:
	\| \| 19		\| \| 19
	\| \| 1357.4349		\| \| 1357.4349
	\| \| 35/16, 46/21, 125/57		\| \| [[35/32\|35/16]], [[23/21\|46/21]], 125/57
	\| \| -7.6 cents from 11/5		\| \| -7.6 cents from 11/5
	\|-		\|-
	\| \| 20		\| \| 20
	\| \| 1428.8788		\| \| 1428.8788
	\| \| 57/25, 105/46, 16/7		\| \| 57/25, 105/46, [[16/7]]
	\| \|		\| \|
	\|-		\|-
Line 120:		Line 120:
	\| \| 22		\| \| 22
	\| \| 1571.7667		\| \| 1571.7667
	\| \| 52/21, 57/23, 62/25		\| \| [[26/21\|52/21]], 57/23, 62/25
	\| \|		\| \|
	\|-		\|-
Line 195:		Line 195:
	\| \| 37		\| \| 37
	\| \| 2643.4258		\| \| 2643.4258
	\| \| 23/5		\| \| [[23/20\|23/5]]
	\| \| +1.5 cents from 23/5		\| \| +1.5 cents from 23/5
	\|-		\|-
Line 211:		Line 211:
	[[Category:Ed5]]		[[Category:Ed5]]
	[[Category:Edonoi]]		[[Category:Edonoi]]
			[[Category:Hyperpyth]]

Xenllium at 11:30, 17 January 2019

2019-01-17T11:30:23Z

← Older revision		Revision as of 11:30, 17 January 2019
Line 1:		Line 1:
	'''[[Ed5\|Division of the 5th harmonic]] into 39 equal parts''' (39ed5) is a good [[hyperpyth]] tuning. The step size about 71.4439 cents. It is ~~similar~~ to every fifth step of [[84edo]], but with the 5/1 rather than the 2/1 being just.		'''[[Ed5\|Division of the 5th harmonic]] into 39 equal parts''' (39ed5) is a good [[hyperpyth]] tuning. The step size about 71.4439 cents. It is compared to every fifth step of [[84edo]], but with the 5/1 rather than the 2/1 being just.

	{\| class="wikitable"		{\| class="wikitable"
Line 21:		Line 21:
	\| \| 142.8879		\| \| 142.8879
	\| \| 38/35, 25/23		\| \| 38/35, 25/23
	\| \| ~~+9.7 cents from 27/25~~		\| \|
	\|-		\|-
	\| \| 3		\| \| 3
Line 36:		Line 36:
	\| \| 357.2197		\| \| 357.2197
	\| \| [[16/13]]		\| \| [[16/13]]
	\| \| ~~-15.2 cents from 31/25~~		\| \|
	\|-		\|-
	\| \| 6		\| \| 6
Line 46:		Line 46:
	\| \| 500.1076		\| \| 500.1076
	\| \| [[4/3]]		\| \| [[4/3]]
	\| \| ~~+19.5 cents from 33/25~~		\| \|
	\|-		\|-
	\| \| 8		\| \| 8
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	\| \| 785.8834		\| \| 785.8834
	\| \| [[11/7]]		\| \| [[11/7]]
	\| \| ~~+16.0 cents from 39/25~~		\| \|
	\|-		\|-
	\| \| 12		\| \| 12
	\| \| 857.3273		\| \| 857.3273
	\| \| 41/25, 23/14		\| \| 41/25, 23/14
	\| \| ~~+0.9 cents from 41/25~~		\| \|
	\|-		\|-
	\| \| 13		\| \| 13
	\| \| 928.7712		\| \| 928.7712
	\| \| 70/41, 65/38		\| \| 70/41, 65/38
	\| \| ~~-10.1 cents from 43/25~~		\| \|
	\|-		\|-
	\| \| 14		\| \| 14
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	\| \| 1071.6591		\| \| 1071.6591
	\| \| [[13/7]]		\| \| [[13/7]]
	\| \| ~~-21.2 cents from 47/25~~		\| \|
	\|-		\|-
	\| \| 16		\| \| 16
	\| \| 1143.1031		\| \| 1143.1031
	\| \| 29/15, 31/16		\| \| 29/15, 31/16
	\| \| ~~-21.9 cents from 49/25~~		\| \|
	\|-		\|-
	\| \| 17		\| \| 17
	\| \| 1214.5470		\| \| 1214.5470
	\| \| 125/62, 115/57, 105/52		\| \| 125/62, 115/57, 105/52
	\| \| ~~-19.7 cents from 51/25~~		\| \|
	\|-		\|-
	\| \| 18		\| \| 18
	\| \| 1285.9909		\| \| 1285.9909
	\| \| [[21/20\|21/10]]		\| \| [[21/20\|21/10]]
	\| \| ~~-14.9 cents from 53/25~~		\| \|
	\|-		\|-
	\| \| 19		\| \| 19
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	\| \| 1428.8788		\| \| 1428.8788
	\| \| 57/25, 105/46, 16/7		\| \| 57/25, 105/46, 16/7
	\| \| ~~+2.0 cents from 57/25~~		\| \|
	\|-		\|-
	\| \| 21		\| \| 21
	\| \| 1500.3228		\| \| 1500.3228
	\| \| [[25/21\|50/21]]		\| \| [[25/21\|50/21]]
	\| \| ~~+13.8 cents from 59/25~~		\| \|
	\|-		\|-
	\| \| 22		\| \| 22
	\| \| 1571.7667		\| \| 1571.7667
	\| \| 52/21, 57/23, 62/25		\| \| 52/21, 57/23, 62/25
	\| \| ~~-28.3 cents from 63/25~~		\| \|
	\|-		\|-
	\| \| 23		\| \| 23
Line 131:		Line 131:
	\| \| 1714.6546		\| \| 1714.6546
	\| \| 35/13		\| \| 35/13
	\| \| ~~+8.0 cents from 67/25~~		\| \|
	\|-		\|-
	\| \| 25		\| \| 25
	\| \| 1786.0985		\| \| 1786.0985
	\| \| 115/41, 160/57		\| \| 115/41, 160/57
	\| \| ~~-21.0 cents from 71/25~~		\| \|
	\|-		\|-
	\| \| 26		\| \| 26
	\| \| 1857.5425		\| \| 1857.5425
	\| \| [[19/13\|38/13]], 41/14		\| \| [[19/13\|38/13]], 41/14
	\| \| ~~+2.4 cents from 73/25~~		\| \|
	\|-		\|-
	\| \| 27		\| \| 27

Xenllium at 01:42, 4 January 2019

2019-01-04T01:42:34Z

← Older revision		Revision as of 01:42, 4 January 2019
Line 1:		Line 1:
	'''[[Ed5\|Division of the 5th harmonic]] into 39 equal parts''' (39ed5) is a good [[hyperpyth]] tuning ~~for the 5.7.9.11.13.19.23.31.41.43.47.51.53 subgroup~~. The step size about 71.4439 cents. It is similar to every fifth step of [[84edo]], but with the 5/1 rather than the 2/1 being just.		'''[[Ed5\|Division of the 5th harmonic]] into 39 equal parts''' (39ed5) is a good [[hyperpyth]] tuning. The step size about 71.4439 cents. It is similar to every fifth step of [[84edo]], but with the 5/1 rather than the 2/1 being just.

	{\| class="wikitable"		{\| class="wikitable"

Xenllium: Created page with "'''Division of the 5th harmonic into 39 equal parts''' (39ed5) is a good hyperpyth tuning for the 5.7.9.11.13.19.23.31.41.43.47.51.53 subgroup. The step size about..."

2019-01-01T14:13:21Z

Created page with "'''Division of the 5th harmonic into 39 equal parts''' (39ed5) is a good hyperpyth tuning for the 5.7.9.11.13.19.23.31.41.43.47.51.53 subgroup. The step size about..."

New page

'''[[Ed5|Division of the 5th harmonic]] into 39 equal parts''' (39ed5) is a good [[hyperpyth]] tuning for the 5.7.9.11.13.19.23.31.41.43.47.51.53 subgroup. The step size about 71.4439 cents. It is similar to every fifth step of [[84edo]], but with the 5/1 rather than the 2/1 being just.

{| class="wikitable"
|-
! | degree
! | cents value
! | corresponding <br>JI intervals
! | comments
|-
| | 0
| | 0.0000
| | '''exact [[1/1]]'''
| |
|-
| | 1
| | 71.4439
| | [[25/24]], 24/23
| |
|-
| | 2
| | 142.8879
| | 38/35, 25/23
| | +9.7 cents from 27/25
|-
| | 3
| | 214.3318
| | 26/23, 43/38, 60/53, [[17/15]]
| |
|-
| | 4
| | 285.7758
| | 33/28, 46/39, [[13/11]]
| |
|-
| | 5
| | 357.2197
| | [[16/13]]
| | -15.2 cents from 31/25
|-
| | 6
| | 428.6636
| | [[32/25]], 41/32, 50/39
| |
|-
| | 7
| | 500.1076
| | [[4/3]]
| | +19.5 cents from 33/25
|-
| | 8
| | 571.5515
| | [[25/18]]
| | -11.0 cents from 7/5
|-
| | 9
| | 642.9955
| | 45/31
| |
|-
| | 10
| | 714.4394
| | 80/53, 77/51, 68/45, 65/43
| |
|-
| | 11
| | 785.8834
| | [[11/7]]
| | +16.0 cents from 39/25
|-
| | 12
| | 857.3273
| | 41/25, 23/14
| | +0.9 cents from 41/25
|-
| | 13
| | 928.7712
| | 70/41, 65/38
| | -10.1 cents from 43/25
|-
| | 14
| | 1000.2152
| | 57/32, 98/55, 41/23
| | -17.4 cents from 9/5
|-
| | 15
| | 1071.6591
| | [[13/7]]
| | -21.2 cents from 47/25
|-
| | 16
| | 1143.1031
| | 29/15, 31/16
| | -21.9 cents from 49/25
|-
| | 17
| | 1214.5470
| | 125/62, 115/57, 105/52
| | -19.7 cents from 51/25
|-
| | 18
| | 1285.9909
| | [[21/20|21/10]]
| | -14.9 cents from 53/25
|-
| | 19
| | 1357.4349
| | 35/16, 46/21, 125/57
| | -7.6 cents from 11/5
|-
| | 20
| | 1428.8788
| | 57/25, 105/46, 16/7
| | +2.0 cents from 57/25
|-
| | 21
| | 1500.3228
| | [[25/21|50/21]]
| | +13.8 cents from 59/25
|-
| | 22
| | 1571.7667
| | 52/21, 57/23, 62/25
| | -28.3 cents from 63/25
|-
| | 23
| | 1643.2107
| | 80/31, 75/29
| | -11.0 cents from 13/5
|-
| | 24
| | 1714.6546
| | 35/13
| | +8.0 cents from 67/25
|-
| | 25
| | 1786.0985
| | 115/41, 160/57
| | -21.0 cents from 71/25
|-
| | 26
| | 1857.5425
| | [[19/13|38/13]], 41/14
| | +2.4 cents from 73/25
|-
| | 27
| | 1928.9864
| | 70/23
| | +27.0 cents from 3/1
|-
| | 28
| | 2000.4304
| | 35/11
| |
|-
| | 29
| | 2071.8743
| | 43/13, 53/16
| |
|-
| | 30
| | 2143.3182
| | 31/9
| | +24.7 cents from 17/5
|-
| | 31
| | 2214.7622
| | [[9/5|18/5]]
| |
|-
| | 32
| | 2286.2061
| | [[15/4]]
| | -25.0 cents from 19/5
|-
| | 33
| | 2357.6501
| | 39/10
| |
|-
| | 34
| | 2429.0940
| | [[65/64|65/16]]
| |
|-
| | 35
| | 2500.5379
| | 55/13
| | +16.1 cents from 21/5
|-
| | 36
| | 2571.9819
| | 75/17, 53/12, 190/43, 115/26
| |
|-
| | 37
| | 2643.4258
| | 23/5
| | +1.5 cents from 23/5
|-
| | 38
| | 2714.8698
| | [[6/5|24/5]]
| |
|-
| | 39
| | 2786.3137
| | '''exact [[5/1]]'''
| | just major third plus two octaves
|}

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