3ed4/3 - Revision history

FloraC: Cleanup +1

2025-08-27T13:24:20Z

Cleanup +1

FloraC: Cleanup

2025-08-27T13:21:17Z

Cleanup

← Older revision		Revision as of 13:21, 27 August 2025
Line 125:		Line 125:

	== Regular temperaments ==		== Regular temperaments ==
	~~CRP4~~ tuning is related to temperaments which temper out [[4000/3993]] (wizardharry temperament). The unit step of ~~CRP4~~ is approximately a cent sharp of [[11/10]]. Tempering out 4000/3993 leads equating three 11/10s with 4/3, hence wizardharry temperaments split the fourth in three.		3ed4/3 tuning is related to temperaments which temper out [[4000/3993]] (wizardharry temperament). The unit step of 3ed4/3 is approximately a cent sharp of [[11/10]]. Tempering out 4000/3993 leads equating three 11/10s with 4/3, hence wizardharry temperaments split the fourth in three.

	Tempering out both [[55/54]] and [[100/99]] (equating 10/9 with 11/10 and 12/11) leads [[~~Subgroup temperaments #No-sevens subgroup\|porkypine~~]] (2.3.5.11 subgroup) or [[~~Porcupine rank three family\|~~sonic]] (full 11-limit). Sonic temperaments include [[porcupine]], [[hystrix]], [[porky]], [[coendou]], [[hedgehog]], [[nautilus]], [[ammonite]], [[ceratitid]], and [[opossum]].		Tempering out both [[55/54]] and [[100/99]] (equating 10/9 with 11/10 and 12/11) leads to [[porcupine]] (2.3.5.11 subgroup) or [[sonic]] (full 11-limit). Sonic temperaments include [[porcupine]], [[hystrix]], [[porky]], [[coendou]], [[hedgehog]], [[nautilus]], [[ammonite]], [[ceratitid]], and [[opossum]].

	Other wizardharry temperaments include [[octoid]], [[harry]], [[tritikleismic]], [[wizard]], [[Porwell temperaments #Septisuperfourth\|septisuperfourth]], [[unthirds]], [[supers]], [[alphaquarter]], [[quincy]], [[~~Stearnsmic clan #Stearnscape\|~~stearnscape]], [[pogo]], [[marvolo]], [[~~Breedsmic temperaments #Cotritone\|~~cotritone]], [[echidna]], [[marvo]], [[mystery]], [[zarvo]], [[~~Escapade family #Escaped\|~~escaped]], [[thuja]], and [[escapade]].		Other wizardharry temperaments include [[octoid]], [[harry]], [[tritikleismic]], [[wizard]], [[Porwell temperaments #Septisuperfourth\|septisuperfourth]], [[unthirds]], [[supers]], [[alphaquarter]], [[quincy]], [[stearnscape]], [[pogo]], [[marvolo]], [[cotritone]], [[echidna]], [[marvo]], [[mystery]], [[zarvo]], [[escaped]], [[thuja]], and [[escapade]].

	[[Category:Equal-step tuning]]		[[Category:Equal-step tuning]]
	[[Category:Nonoctave]]		[[Category:Nonoctave]]
	[[Category:Perfect fourth]]		[[Category:Perfect fourth]]

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

2025-08-01T19:22:00Z

Removing from Category:Edonoi using Cat-a-lot

← Older revision		Revision as of 19:22, 1 August 2025
Line 131:		Line 131:
	Other wizardharry temperaments include [[octoid]], [[harry]], [[tritikleismic]], [[wizard]], [[Porwell temperaments #Septisuperfourth\|septisuperfourth]], [[unthirds]], [[supers]], [[alphaquarter]], [[quincy]], [[Stearnsmic clan #Stearnscape\|stearnscape]], [[pogo]], [[marvolo]], [[Breedsmic temperaments #Cotritone\|cotritone]], [[echidna]], [[marvo]], [[mystery]], [[zarvo]], [[Escapade family #Escaped\|escaped]], [[thuja]], and [[escapade]].		Other wizardharry temperaments include [[octoid]], [[harry]], [[tritikleismic]], [[wizard]], [[Porwell temperaments #Septisuperfourth\|septisuperfourth]], [[unthirds]], [[supers]], [[alphaquarter]], [[quincy]], [[Stearnsmic clan #Stearnscape\|stearnscape]], [[pogo]], [[marvolo]], [[Breedsmic temperaments #Cotritone\|cotritone]], [[echidna]], [[marvo]], [[mystery]], [[zarvo]], [[Escapade family #Escaped\|escaped]], [[thuja]], and [[escapade]].

	~~[[Category:Edonoi]]~~
	[[Category:Equal-step tuning]]		[[Category:Equal-step tuning]]
	[[Category:Nonoctave]]		[[Category:Nonoctave]]
	[[Category:Perfect fourth]]		[[Category:Perfect fourth]]

BudjarnLambeth: Added harmonics

2024-10-02T09:31:10Z

Added harmonics

@@ Line 109: / Line 109: @@
 | | [[10/1]]
 |}
 == Regular temperaments ==

CompactStar at 00:01, 24 April 2023

2023-04-24T00:01:42Z

← Older revision		Revision as of 00:01, 24 April 2023
Line 1:		Line 1:
	~~The~~ '''~~Cube Root of the Perfect fourth~~''' ~~(3ED4/3, CRP4)~~ is a nonoctave scale which divides the just [[perfect fourth]] (frequency ratio [[4/3\|4:3]]) into three steps of approximately 166.015[[cent\|¢]] each.		{{Infobox ET}}
			'''3ed4/3''' is a nonoctave scale which divides the just [[perfect fourth]] (frequency ratio [[4/3\|4:3]]) into three steps of approximately 166.015[[cent\|¢]] each.

	== Intervals ==		== Intervals ==

CompactStar: CompactStar moved page Cube Root of P4 to 3ed4/3

2023-04-24T00:01:27Z

CompactStar moved page Cube Root of P4 to 3ed4/3

← Older revision	Revision as of 00:01, 24 April 2023
(No difference)

Xenllium at 08:33, 13 September 2021

2021-09-13T08:33:23Z

← Older revision		Revision as of 08:33, 13 September 2021
Line 4:		Line 4:
	{\| class="wikitable"		{\| class="wikitable"
	\|-		\|-
	\| \| degrees ~~of CRP4~~		! \| degrees
	\| \| cents value		! \| cents value
	\| ~~\| cents value [[octave-reduce\|octave-reduce]]d~~		! \| corresponding <br>JI intervals
	\|-		\|-
	\| \| 0		\| \| 0
	\| \| 0.00		\| \| 0.000
	\| \|		\| \| '''exact [[1/1]]'''
	\|-		\|-
	\| \| 1		\| \| 1
	\| \| 166.01		\| \| 166.015
	\| \|		\| \| [[11/10]]
	\|-		\|-
	\| \| 2		\| \| 2
	\| \| 332.03		\| \| 332.030
	\| \|		\| \|
	\|-		\|-
	\| \| 3		\| \| 3
	\| \| 498.04		\| \| 498.045
	\| \|		\| \| '''exact [[4/3]]'''
	\|-		\|-
	\| \| 4		\| \| 4
	\| \| 664.06		\| \| 664.060
	\| \|		\| \| [[22/15]]
	\|-		\|-
	\| \| 5		\| \| 5
	\| \| 830.07		\| \| 830.075
	\| \|		\| \| [[13/8]]
	\|-		\|-
	\| \| 6		\| \| 6
	\| \| 996.09		\| \| 996.090
	\| \|		\| \| '''exact [[16/9]]'''
	\|-		\|-
	\| \| 7		\| \| 7
	\| \| 1162.10		\| \| 1162.105
	\| \|		\| \| 88/45
	\|-		\|-
	\| \| 8		\| \| 8
	\| \| 1328.12		\| \| 1328.120
	\| \| ~~128.12~~		\| \| [[13/6]]
	\|-		\|-
	\| \| 9		\| \| 9
	\| \| 1494.13		\| \| 1494.135
	\| \| ~~294.13~~		\| \| '''exact [[32/27\|64/27]]'''
	\|-		\|-
	\| \| 10		\| \| 10
	\| \| 1660.15		\| \| 1660.150
	\| \| ~~460.15~~		\| \|
	\|-		\|-
	\| \| 11		\| \| 11
	\| \| 1826.16		\| \| 1826.165
	\| \| ~~626.16~~		\| \| [[13/9]]
	\|-		\|-
	\| \| 12		\| \| 12
	\| \| 1992.18		\| \| 1992.180
	\| \| ~~792.18~~		\| \|
	\|-		\|-
	\| \| 13		\| \| 13
	\| \| 2158.19		\| \| 2158.195
	\| \| ~~958.19~~		\| \|
	\|-		\|-
	\| \| 14		\| \| 14
	\| \| 2324.21		\| \| 2324.210
	\| \| ~~1124.21~~		\| \|
	\|-		\|-
	\| \| 15		\| \| 15
	\| \| 2490.22		\| \| 2490.225
	\| \| ~~90.22~~		\| \| [[135/128\|135/32]]
	\|-		\|-
	\| \| 16		\| \| 16
	\| \| 2656.24		\| \| 2656.240
	\| \| ~~256.24~~		\| \|
	\|-		\|-
	\| \| 17		\| \| 17
	\| \| 2822.25		\| \| 2822.255
	\| \| ~~422.25~~		\| \|
	\|-		\|-
	\| \| 18		\| \| 18
	\| \| 2988.27		\| \| 2988.270
	\| \| ~~588.27~~		\| \| [[45/32\|45/8]]
	\|-		\|-
	\| \| 19		\| \| 19
	\| \| 3154.28		\| \| 3154.285
	\| \| ~~754.28~~		\| \|
	\|-		\|-
	\| \| 20		\| \| 20
	\| \| 3320.30		\| \| 3320.300
	\| \| ~~920.30~~		\| \| [[17/10\|17/5]]
	\|-		\|-
	\| \| 21		\| \| 21
	\| \| 3486.31		\| \| 3486.315
	\| \| ~~1086.31~~		\| \| [[15/2]]
	\|-		\|-
	\| \| 22		\| \| 22
	\| \| 3652.33		\| \| 3652.330
	\| \| ~~52.33~~		\| \|
	\|-		\|-
	\| \| 23		\| \| 23
	\| \| 3818.34		\| \| 3818.345
	\| \| ~~218~~.34		\| \| [[17/15\|68/15]]
			\|-
			\| \| 24
			\| \| 3984.360
			\| \| [[10/1]]
	\|}		\|}

Xenllium at 10:35, 12 September 2021

2021-09-12T10:35:32Z

← Older revision		Revision as of 10:35, 12 September 2021
Line 1:		Line 1:
	The Cube Root of the ~~[[Perfect_fourth\|~~Perfect fourth]] (~~[[4~~/3~~\|4:3]]~~) is a nonoctave scale which divides the just perfect fourth (frequency ratio 4:3) into three steps of approximately 166.015[[cent\|¢]] each.		The '''Cube Root of the Perfect fourth''' (3ED4/3, CRP4) is a nonoctave scale which divides the just [[perfect fourth]] (frequency ratio [[4/3\|4:3]]) into three steps of approximately 166.015[[cent\|¢]] each.

	~~==Intervals==~~

			== Intervals ==
	{\| class="wikitable"		{\| class="wikitable"
	\|-		\|-
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	\| \| 218.34		\| \| 218.34
	\|}		\|}
	[[~~Category:edonoi~~]]
	[[Category:~~edp4~~]]		== Regular temperaments ==
	[[Category:~~equal~~]]		CRP4 tuning is related to temperaments which temper out [[4000/3993]] (wizardharry temperament). The unit step of CRP4 is approximately a cent sharp of [[11/10]]. Tempering out 4000/3993 leads equating three 11/10s with 4/3, hence wizardharry temperaments split the fourth in three.
	[[Category:~~nonoctave~~]]
	[[Category:p4]]		Tempering out both [[55/54]] and [[100/99]] (equating 10/9 with 11/10 and 12/11) leads [[Subgroup temperaments #No-sevens subgroup\|porkypine]] (2.3.5.11 subgroup) or [[Porcupine rank three family\|sonic]] (full 11-limit). Sonic temperaments include [[porcupine]], [[hystrix]], [[porky]], [[coendou]], [[hedgehog]], [[nautilus]], [[ammonite]], [[ceratitid]], and [[opossum]].

			Other wizardharry temperaments include [[octoid]], [[harry]], [[tritikleismic]], [[wizard]], [[Porwell temperaments #Septisuperfourth\|septisuperfourth]], [[unthirds]], [[supers]], [[alphaquarter]], [[quincy]], [[Stearnsmic clan #Stearnscape\|stearnscape]], [[pogo]], [[marvolo]], [[Breedsmic temperaments #Cotritone\|cotritone]], [[echidna]], [[marvo]], [[mystery]], [[zarvo]], [[Escapade family #Escaped\|escaped]], [[thuja]], and [[escapade]].

			[[Category:Edonoi]]
			[[Category:Equal-step tuning]]
			[[Category:Nonoctave]]
			[[Category:Perfect fourth]]

Wikispaces>FREEZE at 00:00, 17 July 2018

2018-07-17T00:00:00Z

Show changes

Wikispaces>xenwolf: Imported revision 239553053 - Original comment:

2011-06-30T16:34:41Z

**Imported revision 239553053 - Original comment: **

← Older revision		Revision as of 16:34, 30 June 2011
Line 1:		Line 1:
	<h2>IMPORTED REVISION FROM WIKISPACES</h2>		<h2>IMPORTED REVISION FROM WIKISPACES</h2>
	This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>		This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
	: This revision was by author [[User:xenwolf\|xenwolf]] and made on <tt>2011-06-~~24 04~~:22:28 UTC</tt>.<br>		: This revision was by author [[User:xenwolf\|xenwolf]] and made on <tt>2011-06-30 16:34:41 UTC</tt>.<br>
	: The original revision id was <tt>~~238541723~~</tt>.<br>		: The original revision id was <tt>239553053</tt>.<br>
	: The revision comment was: <tt></tt><br>		: The revision comment was: <tt></tt><br>
	The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>		The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
Line 10:		Line 10:
	==Intervals==		==Intervals==

	\|\| degrees of CRP4 \|\| cents value \|\| cents value octave-~~reduced~~ \|\|		\|\| degrees of CRP4 \|\| cents value \|\| cents value [[octave-reduce]]d \|\|
	\|\| 0 \|\| 0.00 \|\| \|\|		\|\| 0 \|\| 0.00 \|\| \|\|
	\|\| 1 \|\| 166.01 \|\| \|\|		\|\| 1 \|\| 166.01 \|\| \|\|
Line 48:		Line 48:
	<td>cents value<br />		<td>cents value<br />
	</td>		</td>
	<td>cents value octave-~~reduced~~<br />		<td>cents value <a class="wiki_link" href="/octave-reduce">octave-reduce</a>d<br />
	</td>		</td>
	</tr>		</tr>

← Older revision		Revision as of 08:33, 13 September 2021
Line 4:		Line 4:
	{\| class="wikitable"		{\| class="wikitable"
	\|-		\|-
	\| \| degrees ~~of CRP4~~		! \| degrees
	\| \| cents value		! \| cents value
	\| ~~\| cents value [[octave-reduce\|octave-reduce]]d~~		! \| corresponding <br>JI intervals
	\|-		\|-
	\| \| 0		\| \| 0
	\| \| 0.00		\| \| 0.000
	\| \|		\| \| '''exact [[1/1]]'''
	\|-		\|-
	\| \| 1		\| \| 1
	\| \| 166.01		\| \| 166.015
	\| \|		\| \| [[11/10]]
	\|-		\|-
	\| \| 2		\| \| 2
	\| \| 332.03		\| \| 332.030
	\| \|		\| \|
	\|-		\|-
	\| \| 3		\| \| 3
	\| \| 498.04		\| \| 498.045
	\| \|		\| \| '''exact [[4/3]]'''
	\|-		\|-
	\| \| 4		\| \| 4
	\| \| 664.06		\| \| 664.060
	\| \|		\| \| [[22/15]]
	\|-		\|-
	\| \| 5		\| \| 5
	\| \| 830.07		\| \| 830.075
	\| \|		\| \| [[13/8]]
	\|-		\|-
	\| \| 6		\| \| 6
	\| \| 996.09		\| \| 996.090
	\| \|		\| \| '''exact [[16/9]]'''
	\|-		\|-
	\| \| 7		\| \| 7
	\| \| 1162.10		\| \| 1162.105
	\| \|		\| \| 88/45
	\|-		\|-
	\| \| 8		\| \| 8
	\| \| 1328.12		\| \| 1328.120
	\| \| ~~128.12~~		\| \| [[13/6]]
	\|-		\|-
	\| \| 9		\| \| 9
	\| \| 1494.13		\| \| 1494.135
	\| \| ~~294.13~~		\| \| '''exact [[32/27\|64/27]]'''
	\|-		\|-
	\| \| 10		\| \| 10
	\| \| 1660.15		\| \| 1660.150
	\| \| ~~460.15~~		\| \|
	\|-		\|-
	\| \| 11		\| \| 11
	\| \| 1826.16		\| \| 1826.165
	\| \| ~~626.16~~		\| \| [[13/9]]
	\|-		\|-
	\| \| 12		\| \| 12
	\| \| 1992.18		\| \| 1992.180
	\| \| ~~792.18~~		\| \|
	\|-		\|-
	\| \| 13		\| \| 13
	\| \| 2158.19		\| \| 2158.195
	\| \| ~~958.19~~		\| \|
	\|-		\|-
	\| \| 14		\| \| 14
	\| \| 2324.21		\| \| 2324.210
	\| \| ~~1124.21~~		\| \|
	\|-		\|-
	\| \| 15		\| \| 15
	\| \| 2490.22		\| \| 2490.225
	\| \| ~~90.22~~		\| \| [[135/128\|135/32]]
	\|-		\|-
	\| \| 16		\| \| 16
	\| \| 2656.24		\| \| 2656.240
	\| \| ~~256.24~~		\| \|
	\|-		\|-
	\| \| 17		\| \| 17
	\| \| 2822.25		\| \| 2822.255
	\| \| ~~422.25~~		\| \|
	\|-		\|-
	\| \| 18		\| \| 18
	\| \| 2988.27		\| \| 2988.270
	\| \| ~~588.27~~		\| \| [[45/32\|45/8]]
	\|-		\|-
	\| \| 19		\| \| 19
	\| \| 3154.28		\| \| 3154.285
	\| \| ~~754.28~~		\| \|
	\|-		\|-
	\| \| 20		\| \| 20
	\| \| 3320.30		\| \| 3320.300
	\| \| ~~920.30~~		\| \| [[17/10\|17/5]]
	\|-		\|-
	\| \| 21		\| \| 21
	\| \| 3486.31		\| \| 3486.315
	\| \| ~~1086.31~~		\| \| [[15/2]]
	\|-		\|-
	\| \| 22		\| \| 22
	\| \| 3652.33		\| \| 3652.330
	\| \| ~~52.33~~		\| \|
	\|-		\|-
	\| \| 23		\| \| 23
	\| \| 3818.34		\| \| 3818.345
	\| \| ~~218~~.34		\| \| [[17/15\|68/15]]
			\|-
			\| \| 24
			\| \| 3984.360
			\| \| [[10/1]]
	\|}		\|}