22ed5 - Revision history

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

2025-08-01T19:20:45Z

Removing from Category:Edonoi using Cat-a-lot

← Older revision		Revision as of 19:20, 1 August 2025
Line 143:		Line 143:
	22ED5 can also be thought of as a generator of the 19-limit [[Hemimean clan #Mowglic\|mowglic temperament]], which tempers out 351/350, 476/475, 495/494, 513/512, 540/539, and 1701/1690, which is an extension of the [[Syntonic–enneadecal equivalence continuum\|mowgli temperament]]. This temperament is supported by [[19edo\|19EDO]], [[161edo\|161EDO]], and [[180edo\|180EDO]] among others.		22ED5 can also be thought of as a generator of the 19-limit [[Hemimean clan #Mowglic\|mowglic temperament]], which tempers out 351/350, 476/475, 495/494, 513/512, 540/539, and 1701/1690, which is an extension of the [[Syntonic–enneadecal equivalence continuum\|mowgli temperament]]. This temperament is supported by [[19edo\|19EDO]], [[161edo\|161EDO]], and [[180edo\|180EDO]] among others.

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

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

2025-08-01T18:39:03Z

Removing from Category:Ed5 using Cat-a-lot

← Older revision		Revision as of 18:39, 1 August 2025
Line 143:		Line 143:
	22ED5 can also be thought of as a generator of the 19-limit [[Hemimean clan #Mowglic\|mowglic temperament]], which tempers out 351/350, 476/475, 495/494, 513/512, 540/539, and 1701/1690, which is an extension of the [[Syntonic–enneadecal equivalence continuum\|mowgli temperament]]. This temperament is supported by [[19edo\|19EDO]], [[161edo\|161EDO]], and [[180edo\|180EDO]] among others.		22ED5 can also be thought of as a generator of the 19-limit [[Hemimean clan #Mowglic\|mowglic temperament]], which tempers out 351/350, 476/475, 495/494, 513/512, 540/539, and 1701/1690, which is an extension of the [[Syntonic–enneadecal equivalence continuum\|mowgli temperament]]. This temperament is supported by [[19edo\|19EDO]], [[161edo\|161EDO]], and [[180edo\|180EDO]] among others.

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

BudjarnLambeth: {{todo|expand}}

2024-12-21T22:41:18Z

← Older revision		Revision as of 22:41, 21 December 2024
Line 146:		Line 146:
	[[Category:Edonoi]]		[[Category:Edonoi]]
	[[Category:Hyperpyth]]		[[Category:Hyperpyth]]
			{{todo\|expand}}

ArrowHead294 at 12:07, 15 December 2024

2024-12-15T12:07:25Z

← Older revision		Revision as of 12:07, 15 December 2024
Line 141:		Line 141:

	== 22ED5 as a generator ==		== 22ED5 as a generator ==
	22ED5 can also be thought of as a generator of the 19-limit [[Hemimean clan #Mowglic\|mowglic temperament]], which tempers out 351/350, 476/475, 495/494, 513/512, 540/539, and 1701/1690, which is an extension of the [[~~Syntonic-enneadecal~~ equivalence continuum\|mowgli temperament]]. This temperament is supported by [[19edo\|19EDO]], [[161edo\|161EDO]], and [[180edo\|180EDO]] among others.		22ED5 can also be thought of as a generator of the 19-limit [[Hemimean clan #Mowglic\|mowglic temperament]], which tempers out 351/350, 476/475, 495/494, 513/512, 540/539, and 1701/1690, which is an extension of the [[Syntonic–enneadecal equivalence continuum\|mowgli temperament]]. This temperament is supported by [[19edo\|19EDO]], [[161edo\|161EDO]], and [[180edo\|180EDO]] among others.

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

BudjarnLambeth: Harmonics

2024-10-06T01:18:49Z

Harmonics

@@ Line 2: / Line 2: @@
 '''[[Ed5|Division of the 5th harmonic]] into 22 equal parts''' (22ED5) is a good [[hyperpyth]] tuning. The step size about 126.6506 cents. It is compared to [[15edt|15EDT]] and every second step of [[19edo|19EDO]], but with the 5/1 rather than 2/1 or 3/1 being just.
 {| class="wikitable"
 |-
@@ Line 124: / Line 125: @@
 | | just major third plus two octaves
 |}
 == 22ED5 as a generator ==

Plumtree: Infobox ET added

2022-10-05T20:39:40Z

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 22 equal parts''' (22ED5) is a good [[hyperpyth]] tuning. The step size about 126.6506 cents. It is compared to [[15edt\|15EDT]] and every second step of [[19edo\|19EDO]], but with the 5/1 rather than 2/1 or 3/1 being just.		'''[[Ed5\|Division of the 5th harmonic]] into 22 equal parts''' (22ED5) is a good [[hyperpyth]] tuning. The step size about 126.6506 cents. It is compared to [[15edt\|15EDT]] and every second step of [[19edo\|19EDO]], but with the 5/1 rather than 2/1 or 3/1 being just.

Xenllium at 12:21, 28 August 2021

2021-08-28T12:21:05Z

← Older revision		Revision as of 12:21, 28 August 2021
Line 1:		Line 1:
	'''[[Ed5\|Division of the 5th harmonic]] into 22 equal parts''' (~~22ed5~~) is a good [[hyperpyth]] tuning. The step size about 126.6506 cents. It is compared to [[15edt]] and every second step of [[19edo]], but with the 5/1 rather than 2/1 or 3/1 being just.		'''[[Ed5\|Division of the 5th harmonic]] into 22 equal parts''' (22ED5) is a good [[hyperpyth]] tuning. The step size about 126.6506 cents. It is compared to [[15edt\|15EDT]] and every second step of [[19edo\|19EDO]], but with the 5/1 rather than 2/1 or 3/1 being just.

	{\| class="wikitable"		{\| class="wikitable"
Line 60:		Line 60:
	\| \| 10		\| \| 10
	\| \| 1266.5062		\| \| 1266.5062
	\| \|		\| \| [[26/25\|52/25]], 160/77
	\| \|		\| \|
	\|-		\|-
Line 70:		Line 70:
	\| \| 12		\| \| 12
	\| \| 1519.8075		\| \| 1519.8075
	\| \|		\| \| [[77/64\|77/32]], 125/52
	\| \|		\| \|
	\|-		\|-
Line 116:		Line 116:
	\| \| 2659.6631		\| \| 2659.6631
	\| \| 65/14		\| \| 65/14
	\| \|		\| \| +17.7 cents from [[23/20\|23/5]]
	\|-		\|-
	\| \| 22		\| \| 22
Line 124:		Line 124:
	\|}		\|}

	==~~22ed5~~ as a generator==		== 22ED5 as a generator ==
	~~22ed5~~ can also be thought of as a generator of the 19-limit [[~~15edt~~\|~~mowgli~~ temperament]], which tempers out 351/350, 476/475, 495/494, ~~969~~/~~968~~, ~~1445~~/~~1444~~, and 1701/1690, which is ~~a cluster~~ temperament ~~with nine clusters of notes in an octave~~. This temperament is supported by [[19edo]], [[161edo]], and [[180edo]] among others.		22ED5 can also be thought of as a generator of the 19-limit [[Hemimean clan #Mowglic\|mowglic temperament]], which tempers out 351/350, 476/475, 495/494, 513/512, 540/539, and 1701/1690, which is an extension of the [[Syntonic-enneadecal equivalence continuum\|mowgli temperament]]. This temperament is supported by [[19edo\|19EDO]], [[161edo\|161EDO]], and [[180edo\|180EDO]] among others.

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

Xenllium at 11:15, 17 January 2019

2019-01-17T11:15:41Z

← Older revision		Revision as of 11:15, 17 January 2019
Line 1:		Line 1:
	'''[[Ed5\|Division of the 5th harmonic]] into 22 equal parts''' (22ed5) is a good [[hyperpyth ~~tuning~~]]. The step size about 126.6506 cents. It is ~~similar~~ to [[15edt]] and every second step of [[19edo]], but with the 5/1 rather than 2/1 or 3/1 being just.		'''[[Ed5\|Division of the 5th harmonic]] into 22 equal parts''' (22ed5) is a good [[hyperpyth]] tuning. The step size about 126.6506 cents. It is compared to [[15edt]] and every second step of [[19edo]], but with the 5/1 rather than 2/1 or 3/1 being just.

	{\| class="wikitable"		{\| class="wikitable"
Line 51:		Line 51:
	\| \| 1013.2050		\| \| 1013.2050
	\| \| 70/39		\| \| 70/39
	\| \|		\| \| -4.4 cents from [[9/5]]
	\|-		\|-
	\| \| 9		\| \| 9
Line 76:		Line 76:
	\| \| 1646.4581		\| \| 1646.4581
	\| \| [[22/17\|44/17]]		\| \| [[22/17\|44/17]]
	\| \|		\| \| -7.8 cents from [[13/5]]
	\|-		\|-
	\| \| 14		\| \| 14
Line 96:		Line 96:
	\| \| 2153.0606		\| \| 2153.0606
	\| \| [[26/15\|52/15]]		\| \| [[26/15\|52/15]]
	\| \|		\| \| +34.4 cents from [[17/10\|17/5]]
	\|-		\|-
	\| \| 18		\| \| 18
	\| \| 2279.7112		\| \| 2279.7112
	\| \| [[28/15\|56/15]]		\| \| [[28/15\|56/15]]
	\| \|		\| \| -31.5 cents from [[19/10\|19/5]]
	\|-		\|-
	\| \| 19		\| \| 19
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	\| \| 2533.0125		\| \| 2533.0125
	\| \| 95/22		\| \| 95/22
	\| \|		\| \| +48.5 cents from [[21/20\|21/5]]
	\|-		\|-
	\| \| 21		\| \| 21
Line 125:		Line 125:

	==22ed5 as a generator==		==22ed5 as a generator==
	22ed5 can also be thought of as a generator of the 19-limit [[15edt\|mowgli temperament]], which tempers out 351/350, 476/475, 495/494, 969/968, 1445/1444, and 1701/1690, which is a cluster temperament with nine clusters of notes in an octave. This temperament is supported by [[19edo]] and [[~~161edo~~]].		22ed5 can also be thought of as a generator of the 19-limit [[15edt\|mowgli temperament]], which tempers out 351/350, 476/475, 495/494, 969/968, 1445/1444, and 1701/1690, which is a cluster temperament with nine clusters of notes in an octave. This temperament is supported by [[19edo]], [[161edo]], and [[180edo]] among others.

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

Xenllium: Created page with "'''Division of the 5th harmonic into 22 equal parts''' (22ed5) is a good hyperpyth tuning. The step size about 126.6506 cents. It is similar to 15edt and every..."

2019-01-17T10:34:51Z

Created page with "'''Division of the 5th harmonic into 22 equal parts''' (22ed5) is a good hyperpyth tuning. The step size about 126.6506 cents. It is similar to 15edt and every..."

New page

'''[[Ed5|Division of the 5th harmonic]] into 22 equal parts''' (22ed5) is a good [[hyperpyth tuning]]. The step size about 126.6506 cents. It is similar to [[15edt]] and every second step of [[19edo]], but with the 5/1 rather than 2/1 or 3/1 being just.

{| class="wikitable"
|-
! | degree
! | cents value
! | corresponding <br>JI intervals
! | comments
|-
| | 0
| | 0.0000
| | '''exact [[1/1]]'''
| |
|-
| | 1
| | 126.6506
| | [[14/13]]
| |
|-
| | 2
| | 253.3012
| | [[22/19]]
| |
|-
| | 3
| | 379.9519
| | [[56/45]]
| |
|-
| | 4
| | 506.6025
| | 75/56
| |
|-
| | 5
| | 633.2531
| | 75/52
| |
|-
| | 6
| | 759.9037
| |
| |
|-
| | 7
| | 886.5544
| | [[5/3]]
| |
|-
| | 8
| | 1013.2050
| | 70/39
| |
|-
| | 9
| | 1139.8556
| | 85/44
| |
|-
| | 10
| | 1266.5062
| |
| |
|-
| | 11
| | 1393.1569
| | [[19/17|38/17]], 85/38
| |
|-
| | 12
| | 1519.8075
| |
| |
|-
| | 13
| | 1646.4581
| | [[22/17|44/17]]
| |
|-
| | 14
| | 1773.1087
| | 39/14
| |
|-
| | 15
| | 1899.7593
| | [[3/1]]
| |
|-
| | 16
| | 2026.4100
| |
| |
|-
| | 17
| | 2153.0606
| | [[26/15|52/15]]
| |
|-
| | 18
| | 2279.7112
| | [[28/15|56/15]]
| |
|-
| | 19
| | 2406.3618
| | 225/56
| |
|-
| | 20
| | 2533.0125
| | 95/22
| |
|-
| | 21
| | 2659.6631
| | 65/14
| |
|-
| | 22
| | 2786.3137
| | '''exact [[5/1]]'''
| | just major third plus two octaves
|}

==22ed5 as a generator==
22ed5 can also be thought of as a generator of the 19-limit [[15edt|mowgli temperament]], which tempers out 351/350, 476/475, 495/494, 969/968, 1445/1444, and 1701/1690, which is a cluster temperament with nine clusters of notes in an octave. This temperament is supported by [[19edo]] and [[161edo]].

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