Ed5/4 - Revision history

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

2025-08-01T19:39:43Z

Removing from Category:Edonoi using Cat-a-lot

← Older revision		Revision as of 19:39, 1 August 2025
Line 69:		Line 69:
	[[Category:Ed5/4's\| ]]		[[Category:Ed5/4's\| ]]
	<!-- main article -->		<!-- main article -->
	~~[[Category:Edonoi]]~~
	[[Category:Major third]]		[[Category:Major third]]
	[[Category:Lists of scales]]		[[Category:Lists of scales]]

Fredg999 category edits: Moving from Category:Ed5/4 to Category:Ed5/4's using Cat-a-lot

2025-08-01T18:43:10Z

Moving from Category:Ed5/4 to Category:Ed5/4's using Cat-a-lot

← Older revision		Revision as of 18:43, 1 August 2025
Line 67:		Line 67:
	\|}		\|}

	[[Category:Ed5/4\| ]] <!-- main article -->		[[Category:Ed5/4's\| ]]
			<!-- main article -->
	[[Category:Edonoi]]		[[Category:Edonoi]]
	[[Category:Major third]]		[[Category:Major third]]

BudjarnLambeth: Todo

2025-05-22T03:10:00Z

Todo

← Older revision		Revision as of 03:10, 22 May 2025
Line 71:		Line 71:
	[[Category:Major third]]		[[Category:Major third]]
	[[Category:Lists of scales]]		[[Category:Lists of scales]]


			{{todo\|inline=1\|explain edonoi\|text=Most people do not think 5/4 sounds like an equivalence, so there must be some other reason why people are dividing it — some property ''other than'' equivalence that makes people want to divide it. Please add to this page an explanation of what that reason is.}}

BudjarnLambeth: BudjarnLambeth moved page User:Xenllium/Ed5/4 to Ed5/4 over redirect

2025-05-19T02:49:20Z

BudjarnLambeth moved page User:Xenllium/Ed5/4 to Ed5/4 over redirect

← Older revision	Revision as of 02:49, 19 May 2025
(No difference)

BudjarnLambeth: Undo revision 196759 by BudjarnLambeth (talk)

2025-05-19T02:49:13Z

Undo revision 196759 by BudjarnLambeth (talk)

← Older revision		Revision as of 02:49, 19 May 2025
Line 1:		Line 1:
	~~{{Editable user page}}~~
	The '''equal division of 5/4''' ('''ed5/4''') is a [[tuning]] obtained by dividing the [[5/4\|just major third (5/4)]] in a certain number of [[equal]] steps.		The '''equal division of 5/4''' ('''ed5/4''') is a [[tuning]] obtained by dividing the [[5/4\|just major third (5/4)]] in a certain number of [[equal]] steps.

BudjarnLambeth at 02:46, 19 May 2025

2025-05-19T02:46:24Z

← Older revision		Revision as of 02:46, 19 May 2025
Line 1:		Line 1:
	~~#REDIRECT~~ [[~~User~~:~~Xenllium~~/Ed5/4]]		{{Editable user page}}
			The '''equal division of 5/4''' ('''ed5/4''') is a [[tuning]] obtained by dividing the [[5/4\|just major third (5/4)]] in a certain number of [[equal]] steps.

			== Properties ==
			Division of 5/4 into equal parts does not necessarily imply directly using this interval as an [[equivalence]]. Many, though not all, ed5/4 scales have a perceptually important [[Pseudo-octave\|false octave]], with various degrees of accuracy.

			ED5/4 tuning systems that accurately represent the intervals 10/9 and 9/8 include: [[17ed5/4]] (0.61 cent error), [[19ed5/4]] (0.59 cent error), and [[36ed5/4]] (0.02 cent error).

			[[17ed5/4]], [[19ed5/4]] and [[36ed5/4]] are to the division of the major third what [[13ed4/3]], [[15ed4/3]], and [[28ed4/3]] are to the division of the fourth, what [[9edf\|9ed3/2]], [[11edf\|11ed3/2,]] and [[20edf\|20ed3/2]] are to the division of the fifth, and what [[5edo]], [[7edo]], and [[12edo]] are to the division of the octave.

			== Individual pages for ed5/4's ==
			{\| class="wikitable center-all"
			\|+ style=white-space:nowrap \| 0…49
			\| [[0ed5/4\|0]]
			\| [[1ed5/4\|1]]
			\| [[2ed5/4\|2]]
			\| [[3ed5/4\|3]]
			\| [[4ed5/4\|4]]
			\| [[5ed5/4\|5]]
			\| [[6ed5/4\|6]]
			\| [[7ed5/4\|7]]
			\| [[8ed5/4\|8]]
			\| [[9ed5/4\|9]]
			\|-
			\| [[10ed5/4\|10]]
			\| [[11ed5/4\|11]]
			\| [[12ed5/4\|12]]
			\| [[13ed5/4\|13]]
			\| [[14ed5/4\|14]]
			\| [[15ed5/4\|15]]
			\| [[16ed5/4\|16]]
			\| [[17ed5/4\|17]]
			\| [[18ed5/4\|18]]
			\| [[19ed5/4\|19]]
			\|-
			\| [[20ed5/4\|20]]
			\| [[21ed5/4\|21]]
			\| [[22ed5/4\|22]]
			\| [[23ed5/4\|23]]
			\| [[24ed5/4\|24]]
			\| [[25ed5/4\|25]]
			\| [[26ed5/4\|26]]
			\| [[27ed5/4\|27]]
			\| [[28ed5/4\|28]]
			\| [[29ed5/4\|29]]
			\|-
			\| [[30ed5/4\|30]]
			\| [[31ed5/4\|31]]
			\| [[32ed5/4\|32]]
			\| [[33ed5/4\|33]]
			\| [[34ed5/4\|34]]
			\| [[35ed5/4\|35]]
			\| [[36ed5/4\|36]]
			\| [[37ed5/4\|37]]
			\| [[38ed5/4\|38]]
			\| [[39ed5/4\|39]]
			\|-
			\| [[40ed5/4\|40]]
			\| [[41ed5/4\|41]]
			\| [[42ed5/4\|42]]
			\| [[43ed5/4\|43]]
			\| [[44ed5/4\|44]]
			\| [[45ed5/4\|45]]
			\| [[46ed5/4\|46]]
			\| [[47ed5/4\|47]]
			\| [[48ed5/4\|48]]
			\| [[49ed5/4\|49]]
			\|}

			[[Category:Ed5/4\| ]] <!-- main article -->
			[[Category:Edonoi]]
			[[Category:Major third]]
			[[Category:Lists of scales]]

BudjarnLambeth: BudjarnLambeth moved page Ed5/4 to User:Xenllium/Ed5/4

2025-05-19T02:46:15Z

BudjarnLambeth moved page Ed5/4 to User:Xenllium/Ed5/4

← Older revision		Revision as of 02:46, 19 May 2025
Line 1:		Line 1:
	~~The '''equal division of 5/4''' ('''ed5/4''') is a [[tuning]] obtained by dividing the [[5/4\|just major third (5/4)]] in a certain number of [[equal]] steps.~~		#REDIRECT [[User:Xenllium/Ed5/4]]

	~~== Properties ==~~
	Division of 5/4 into equal parts does not necessarily imply directly using this interval as an [[equivalence]]. Many, though not all, ed5/4 scales have a perceptually important [[Pseudo-octave\|false octave]], with various degrees of accuracy.

	~~ED5/4 tuning systems that accurately represent the intervals 10/9 and 9/8 include: [[17ed5/4]] (0.61 cent error), [[19ed5/4]] (0.59 cent error), and [[36ed5/4]] (0.02 cent error).~~

	[[17ed5/4]], [[19ed5/4]] and [[36ed5/4]] are to the division of the major third what [[13ed4/3]], [[15ed4/3]], and [[28ed4/3]] are to the division of the fourth, what [[9edf\|9ed3/2]], [[11edf\|11ed3/2,]] and [[20edf\|20ed3/2]] are to the division of the fifth, and what [[5edo]], [[7edo]], and [[~~12edo]] are to the division of the octave.~~

	~~== Individual pages for ed5/4's ==~~
	~~{\| class="wikitable center-all"~~
	~~\|+ style=white-space~~:~~nowrap \| 0…49~~
	~~\| [[0ed5/4\|0]]~~
	~~\| [[1ed5/4\|1]]~~
	~~\| [[2ed5/4\|2]]~~
	~~\| [[3ed5/4\|3]]~~
	~~\| [[4ed5/4\|4]]~~
	~~\| [[5ed5/4\|5]]~~
	~~\| [[6ed5/4\|6]]~~
	~~\| [[7ed5/4\|7]]~~
	~~\| [[8ed5/4\|8]]~~
	~~\| [[9ed5/4\|9]]~~
	\|-
	~~\| [[10ed5/4\|10]]~~
	~~\| [[11ed5/4\|11]]~~
	~~\| [[12ed5/4\|12]]~~
	~~\| [[13ed5/4\|13]]~~
	~~\| [[14ed5/4\|14]]~~
	~~\| [[15ed5~~/~~4\|15]]~~
	~~\| [[16ed5/4\|16]]~~
	~~\| [[17ed5/4\|17]]~~
	~~\| [[18ed5/4\|18]]~~
	~~\| [[19ed5/4\|19]]~~
	\|-
	~~\| [[20ed5/4\|20]]~~
	~~\| [[21ed5/4\|21]]~~
	~~\| [[22ed5/4\|22]]~~
	~~\| [[23ed5/4\|23]]~~
	~~\| [[24ed5/4\|24]]~~
	~~\| [[25ed5/4\|25]]~~
	~~\| [[26ed5/4\|26]]~~
	~~\| [[27ed5/4\|27]]~~
	~~\| [[28ed5/4\|28]]~~
	~~\| [[29ed5/4\|29]]~~
	\|-
	~~\| [[30ed5/4\|30]]~~
	~~\| [[31ed5/4\|31]]~~
	~~\| [[32ed5/4\|32]]~~
	~~\| [[33ed5/4\|33]]~~
	~~\| [[34ed5/4\|34]]~~
	~~\| [[35ed5/4\|35]]~~
	~~\| [[36ed5/4\|36]]~~
	~~\| [[37ed5/4\|37]]~~
	~~\| [[38ed5/4\|38]]~~
	~~\| [[39ed5/4\|39]]~~
	\|-
	~~\| [[40ed5/4\|40]]~~
	~~\| [[41ed5/4\|41]]~~
	~~\| [[42ed5/4\|42]]~~
	~~\| [[43ed5/4\|43]]~~
	~~\| [[44ed5/4\|44]]~~
	~~\| [[45ed5/4\|45]]~~
	~~\| [[46ed5/4\|46]]~~
	~~\| [[47ed5/4\|47]]~~
	~~\| [[48ed5/4\|48]]~~
	~~\| [[49ed5/4\|49]]~~
	\|}

	~~[[Category:~~Ed5/4~~\| ]] <!-- main article -->~~
	~~[[Category:Edonoi]]~~
	~~[[Category:Major third]]~~
	~~[[Category:Lists of scales~~]]

BudjarnLambeth: BudjarnLambeth moved page Ed5/4 to User:Xenllium/Ed5/4

2025-05-19T02:46:15Z

BudjarnLambeth moved page Ed5/4 to User:Xenllium/Ed5/4

← Older revision	Revision as of 02:46, 19 May 2025
(No difference)

BudjarnLambeth: /* Properties */ replace with wording from ed16/15

2025-04-25T01:16:32Z

Properties: replace with wording from ed16/15

← Older revision		Revision as of 01:16, 25 April 2025
Line 2:		Line 2:

	== Properties ==		== Properties ==
	Division of 5/4 into equal parts does not necessarily imply directly using this interval as an [[equivalence]]. The question of equivalence is still in its infancy. The utility of 5/4 as a base though, is apparent by providing a novel consonance after 3, and being the [[octave reduction\|octave-reduced]] basis for [[5-limit]] harmony. Many, if not all, ~~of these~~ scales have a perceptually important ~~pseudo (~~false) octave, with various degrees of accuracy.		Division of 5/4 into equal parts does not necessarily imply directly using this interval as an [[equivalence]]. Many, though not all, ed5/4 scales have a perceptually important [[Pseudo-octave\|false octave]], with various degrees of accuracy.

	~~5/4 is particularly narrow as far as equivalences go and it is difficult to fit consonant chords in it, so we might consider using 5/4<sup>2</sup> = [[25/16]] as the equivalence instead~~.

	ED5/4 tuning systems that accurately represent the intervals 10/9 and 9/8 include: [[17ed5/4]] (0.61 cent error), [[19ed5/4]] (0.59 cent error), and [[36ed5/4]] (0.02 cent error).		ED5/4 tuning systems that accurately represent the intervals 10/9 and 9/8 include: [[17ed5/4]] (0.61 cent error), [[19ed5/4]] (0.59 cent error), and [[36ed5/4]] (0.02 cent error).

Contribution at 23:17, 27 August 2024

2024-08-27T23:17:08Z

← Older revision		Revision as of 23:17, 27 August 2024
Line 5:		Line 5:

	5/4 is particularly narrow as far as equivalences go and it is difficult to fit consonant chords in it, so we might consider using 5/4<sup>2</sup> = [[25/16]] as the equivalence instead.		5/4 is particularly narrow as far as equivalences go and it is difficult to fit consonant chords in it, so we might consider using 5/4<sup>2</sup> = [[25/16]] as the equivalence instead.

			ED5/4 tuning systems that accurately represent the intervals 10/9 and 9/8 include: [[17ed5/4]] (0.61 cent error), [[19ed5/4]] (0.59 cent error), and [[36ed5/4]] (0.02 cent error).

	[[17ed5/4]], [[19ed5/4]] and [[36ed5/4]] are to the division of the major third what [[13ed4/3]], [[15ed4/3]], and [[28ed4/3]] are to the division of the fourth, what [[9edf\|9ed3/2]], [[11edf\|11ed3/2,]] and [[20edf\|20ed3/2]] are to the division of the fifth, and what [[5edo]], [[7edo]], and [[12edo]] are to the division of the octave.		[[17ed5/4]], [[19ed5/4]] and [[36ed5/4]] are to the division of the major third what [[13ed4/3]], [[15ed4/3]], and [[28ed4/3]] are to the division of the fourth, what [[9edf\|9ed3/2]], [[11edf\|11ed3/2,]] and [[20edf\|20ed3/2]] are to the division of the fifth, and what [[5edo]], [[7edo]], and [[12edo]] are to the division of the octave.

← Older revision		Revision as of 02:46, 19 May 2025
Line 1:		Line 1:
	~~#REDIRECT~~ [[~~User~~:~~Xenllium~~/Ed5/4]]		{{Editable user page}}
			The '''equal division of 5/4''' ('''ed5/4''') is a [[tuning]] obtained by dividing the [[5/4\|just major third (5/4)]] in a certain number of [[equal]] steps.

			== Properties ==
			Division of 5/4 into equal parts does not necessarily imply directly using this interval as an [[equivalence]]. Many, though not all, ed5/4 scales have a perceptually important [[Pseudo-octave\|false octave]], with various degrees of accuracy.

			ED5/4 tuning systems that accurately represent the intervals 10/9 and 9/8 include: [[17ed5/4]] (0.61 cent error), [[19ed5/4]] (0.59 cent error), and [[36ed5/4]] (0.02 cent error).

			[[17ed5/4]], [[19ed5/4]] and [[36ed5/4]] are to the division of the major third what [[13ed4/3]], [[15ed4/3]], and [[28ed4/3]] are to the division of the fourth, what [[9edf\|9ed3/2]], [[11edf\|11ed3/2,]] and [[20edf\|20ed3/2]] are to the division of the fifth, and what [[5edo]], [[7edo]], and [[12edo]] are to the division of the octave.

			== Individual pages for ed5/4's ==
			{\| class="wikitable center-all"
			\|+ style=white-space:nowrap \| 0…49
			\| [[0ed5/4\|0]]
			\| [[1ed5/4\|1]]
			\| [[2ed5/4\|2]]
			\| [[3ed5/4\|3]]
			\| [[4ed5/4\|4]]
			\| [[5ed5/4\|5]]
			\| [[6ed5/4\|6]]
			\| [[7ed5/4\|7]]
			\| [[8ed5/4\|8]]
			\| [[9ed5/4\|9]]
			\|-
			\| [[10ed5/4\|10]]
			\| [[11ed5/4\|11]]
			\| [[12ed5/4\|12]]
			\| [[13ed5/4\|13]]
			\| [[14ed5/4\|14]]
			\| [[15ed5/4\|15]]
			\| [[16ed5/4\|16]]
			\| [[17ed5/4\|17]]
			\| [[18ed5/4\|18]]
			\| [[19ed5/4\|19]]
			\|-
			\| [[20ed5/4\|20]]
			\| [[21ed5/4\|21]]
			\| [[22ed5/4\|22]]
			\| [[23ed5/4\|23]]
			\| [[24ed5/4\|24]]
			\| [[25ed5/4\|25]]
			\| [[26ed5/4\|26]]
			\| [[27ed5/4\|27]]
			\| [[28ed5/4\|28]]
			\| [[29ed5/4\|29]]
			\|-
			\| [[30ed5/4\|30]]
			\| [[31ed5/4\|31]]
			\| [[32ed5/4\|32]]
			\| [[33ed5/4\|33]]
			\| [[34ed5/4\|34]]
			\| [[35ed5/4\|35]]
			\| [[36ed5/4\|36]]
			\| [[37ed5/4\|37]]
			\| [[38ed5/4\|38]]
			\| [[39ed5/4\|39]]
			\|-
			\| [[40ed5/4\|40]]
			\| [[41ed5/4\|41]]
			\| [[42ed5/4\|42]]
			\| [[43ed5/4\|43]]
			\| [[44ed5/4\|44]]
			\| [[45ed5/4\|45]]
			\| [[46ed5/4\|46]]
			\| [[47ed5/4\|47]]
			\| [[48ed5/4\|48]]
			\| [[49ed5/4\|49]]
			\|}

			[[Category:Ed5/4\| ]] <!-- main article -->
			[[Category:Edonoi]]
			[[Category:Major third]]
			[[Category:Lists of scales]]

← Older revision		Revision as of 02:46, 19 May 2025
Line 1:		Line 1:
	~~The '''equal division of 5/4''' ('''ed5/4''') is a [[tuning]] obtained by dividing the [[5/4\|just major third (5/4)]] in a certain number of [[equal]] steps.~~		#REDIRECT [[User:Xenllium/Ed5/4]]

	~~== Properties ==~~
	Division of 5/4 into equal parts does not necessarily imply directly using this interval as an [[equivalence]]. Many, though not all, ed5/4 scales have a perceptually important [[Pseudo-octave\|false octave]], with various degrees of accuracy.

	~~ED5/4 tuning systems that accurately represent the intervals 10/9 and 9/8 include: [[17ed5/4]] (0.61 cent error), [[19ed5/4]] (0.59 cent error), and [[36ed5/4]] (0.02 cent error).~~

	[[17ed5/4]], [[19ed5/4]] and [[36ed5/4]] are to the division of the major third what [[13ed4/3]], [[15ed4/3]], and [[28ed4/3]] are to the division of the fourth, what [[9edf\|9ed3/2]], [[11edf\|11ed3/2,]] and [[20edf\|20ed3/2]] are to the division of the fifth, and what [[5edo]], [[7edo]], and [[~~12edo]] are to the division of the octave.~~

	~~== Individual pages for ed5/4's ==~~
	~~{\| class="wikitable center-all"~~
	~~\|+ style=white-space~~:~~nowrap \| 0…49~~
	~~\| [[0ed5/4\|0]]~~
	~~\| [[1ed5/4\|1]]~~
	~~\| [[2ed5/4\|2]]~~
	~~\| [[3ed5/4\|3]]~~
	~~\| [[4ed5/4\|4]]~~
	~~\| [[5ed5/4\|5]]~~
	~~\| [[6ed5/4\|6]]~~
	~~\| [[7ed5/4\|7]]~~
	~~\| [[8ed5/4\|8]]~~
	~~\| [[9ed5/4\|9]]~~
	\|-
	~~\| [[10ed5/4\|10]]~~
	~~\| [[11ed5/4\|11]]~~
	~~\| [[12ed5/4\|12]]~~
	~~\| [[13ed5/4\|13]]~~
	~~\| [[14ed5/4\|14]]~~
	~~\| [[15ed5~~/~~4\|15]]~~
	~~\| [[16ed5/4\|16]]~~
	~~\| [[17ed5/4\|17]]~~
	~~\| [[18ed5/4\|18]]~~
	~~\| [[19ed5/4\|19]]~~
	\|-
	~~\| [[20ed5/4\|20]]~~
	~~\| [[21ed5/4\|21]]~~
	~~\| [[22ed5/4\|22]]~~
	~~\| [[23ed5/4\|23]]~~
	~~\| [[24ed5/4\|24]]~~
	~~\| [[25ed5/4\|25]]~~
	~~\| [[26ed5/4\|26]]~~
	~~\| [[27ed5/4\|27]]~~
	~~\| [[28ed5/4\|28]]~~
	~~\| [[29ed5/4\|29]]~~
	\|-
	~~\| [[30ed5/4\|30]]~~
	~~\| [[31ed5/4\|31]]~~
	~~\| [[32ed5/4\|32]]~~
	~~\| [[33ed5/4\|33]]~~
	~~\| [[34ed5/4\|34]]~~
	~~\| [[35ed5/4\|35]]~~
	~~\| [[36ed5/4\|36]]~~
	~~\| [[37ed5/4\|37]]~~
	~~\| [[38ed5/4\|38]]~~
	~~\| [[39ed5/4\|39]]~~
	\|-
	~~\| [[40ed5/4\|40]]~~
	~~\| [[41ed5/4\|41]]~~
	~~\| [[42ed5/4\|42]]~~
	~~\| [[43ed5/4\|43]]~~
	~~\| [[44ed5/4\|44]]~~
	~~\| [[45ed5/4\|45]]~~
	~~\| [[46ed5/4\|46]]~~
	~~\| [[47ed5/4\|47]]~~
	~~\| [[48ed5/4\|48]]~~
	~~\| [[49ed5/4\|49]]~~
	\|}

	~~[[Category:~~Ed5/4~~\| ]] <!-- main article -->~~
	~~[[Category:Edonoi]]~~
	~~[[Category:Major third]]~~
	~~[[Category:Lists of scales~~]]