Ed8/3 - Revision history

BudjarnLambeth at 07:29, 5 October 2025

2025-10-05T07:29:35Z

@@ Line 25: / Line 25: @@
 * Locrian and Pluperfect/Abundant Phrygian[10i]/Lydian and Perfect Ionian[11i]: Scala Francisci
 * Perfect Ionian through Pluperfect/Abundant Phrygian[9i]: Montréal
 [[Category:Ed8/3's| ]]

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

2025-08-01T19:39:44Z

Removing from Category:Edonoi using Cat-a-lot

← Older revision		Revision as of 19:39, 1 August 2025
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	[[Category:Ed8/3's\| ]]		[[Category:Ed8/3's\| ]]
	<!-- main article -->		<!-- main article -->
	~~[[Category:Edonoi]]~~
	[[Category:Lists of scales]]		[[Category:Lists of scales]]


	{{todo\|inline=1\|cleanup\|explain edonoi\|text=Most people do not think 8/3 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... The page also needs a general overall cleanup.}}		{{todo\|inline=1\|cleanup\|explain edonoi\|text=Most people do not think 8/3 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... The page also needs a general overall cleanup.}}

Fredg999 category edits: Moving from Category:Ed8/3 to Category:Ed8/3's using Cat-a-lot

2025-08-01T18:45:12Z

Moving from Category:Ed8/3 to Category:Ed8/3's using Cat-a-lot

← Older revision		Revision as of 18:45, 1 August 2025
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	* Perfect Ionian through Pluperfect/Abundant Phrygian[9i]: Montréal		* Perfect Ionian through Pluperfect/Abundant Phrygian[9i]: Montréal

	[[Category:Ed8/3\| ]] <!-- main article -->		[[Category:Ed8/3's\| ]]
			<!-- main article -->
	[[Category:Edonoi]]		[[Category:Edonoi]]
	[[Category:Lists of scales]]		[[Category:Lists of scales]]

Fredg999: /* Equivalence */ Replace internal link with Wikipedia link

2025-07-18T05:26:29Z

Equivalence: Replace internal link with Wikipedia link

← Older revision		Revision as of 05:26, 18 July 2025
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	Division of 8/3 into equal parts does not necessarily imply directly using this interval as an [[equivalence]]. Many, though not all, ed8/3 scales have a perceptually important [[Pseudo-octave\|false octave]], with various degrees of accuracy.		Division of 8/3 into equal parts does not necessarily imply directly using this interval as an [[equivalence]]. Many, though not all, ed8/3 scales have a perceptually important [[Pseudo-octave\|false octave]], with various degrees of accuracy.

	The eleventh is the highest [[period]] where composers do not need to go beyond the false octave just to have a reasonably complete chordal harmony. The structural utility of 8/3 or another eleventh as a period may be undermined, though, by the fact that 8/3 is the ~~[[Glossary#A~~\|avoid note]] in a major modality. This matters less in Mixolydian than it does in Ionian given that the former is the natural dominant scale anyway.		The eleventh is the highest [[period]] where composers do not need to go beyond the false octave just to have a reasonably complete chordal harmony. The structural utility of 8/3 or another eleventh as a period may be undermined, though, by the fact that 8/3 is the {{w\|avoid note}} in a major modality. This matters less in Mixolydian than it does in Ionian given that the former is the natural dominant scale anyway.

	One approach to ed8/3 tunings is the use of the 3:4:5:6:(8) chord as the fundamental complete sonority in a very similar way to the 4:5:6:(8) chord in [[meantone]].		One approach to ed8/3 tunings is the use of the 3:4:5:6:(8) chord as the fundamental complete sonority in a very similar way to the 4:5:6:(8) chord in [[meantone]].

	== Joseph Ruhf's approach ==		== Joseph Ruhf's approach ==

BudjarnLambeth at 03:15, 22 May 2025

2025-05-22T03:15:36Z

← Older revision		Revision as of 03:15, 22 May 2025
Line 31:		Line 31:


	{{todo\|inline=1\|~~review~~\|cleanup~~\|improve layout~~}}		{{todo\|inline=1\|cleanup\|explain edonoi\|text=Most people do not think 8/3 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... The page also needs a general overall cleanup.}}

BudjarnLambeth at 00:56, 19 May 2025

2025-05-19T00:56:52Z

← Older revision		Revision as of 00:56, 19 May 2025
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	~~{{Editable user page}}~~
	The '''equal division of 8/3''' ('''ed8/3''') is a [[tuning]] obtained by dividing the [[8/3\|Pythagorean perfect eleventh (8/3)]] in a certain number of [[equal]] steps.		The '''equal division of 8/3''' ('''ed8/3''') is a [[tuning]] obtained by dividing the [[8/3\|Pythagorean perfect eleventh (8/3)]] in a certain number of [[equal]] steps.

BudjarnLambeth: BudjarnLambeth moved page User:Xenllium/Ed8/3 to Ed8/3 over redirect: Discussion in Discord

2025-05-19T00:56:45Z

BudjarnLambeth moved page User:Xenllium/Ed8/3 to Ed8/3 over redirect: Discussion in Discord

← Older revision	Revision as of 00:56, 19 May 2025
(No difference)

BudjarnLambeth at 12:03, 18 May 2025

2025-05-18T12:03:32Z

← Older revision		Revision as of 12:03, 18 May 2025
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	#~~REDIRECT~~ [[~~User~~:~~Xenllium~~/Ed8/3]]		{{Editable user page}}
			The '''equal division of 8/3''' ('''ed8/3''') is a [[tuning]] obtained by dividing the [[8/3\|Pythagorean perfect eleventh (8/3)]] in a certain number of [[equal]] steps.

			== Equivalence ==
			Division of 8/3 into equal parts does not necessarily imply directly using this interval as an [[equivalence]]. Many, though not all, ed8/3 scales have a perceptually important [[Pseudo-octave\|false octave]], with various degrees of accuracy.

			The eleventh is the highest [[period]] where composers do not need to go beyond the false octave just to have a reasonably complete chordal harmony. The structural utility of 8/3 or another eleventh as a period may be undermined, though, by the fact that 8/3 is the [[Glossary#A\|avoid note]] in a major modality. This matters less in Mixolydian than it does in Ionian given that the former is the natural dominant scale anyway.

			One approach to ed8/3 tunings is the use of the 3:4:5:6:(8) chord as the fundamental complete sonority in a very similar way to the 4:5:6:(8) chord in [[meantone]].

			== Joseph Ruhf's approach ==
			{{idiosyncratic terms}}
			Whereas in meantone it takes four [[3/2]] to get to [[5/1]], here it takes twelve octaves to get to [[134217718/98415]] (tempering out the schisma). So, doing this yields 7-, 10- and 17- or 13-, 16- or 19-note [[mos scale]]s. While the notes are rather farther apart, the scheme is uncannily similar to the [[mohajira]] (within 8/3) temperaments. [[Joseph Ruhf]] calls this the ''Macromohajira Bolivarian mode''.

			=== Temperament areas ===
			Galveston Bay Temperament Area
			* 2L 8s and 8L 2s, 5L 5s - Galveston Symmetric, Pentachordal Major, Macro-Blackwood
			* 4L 6s and 6L 4s - Baytown
			* '''3L 7s and 7L 3s - Bolivar'''

			The similar decatonic scales in edIXs and edXs belong to the Chesapeake Bay Temperament Area:
			* Double Neapolitan[10i]: Scala Mariae/Notre Dame
			* Neapolitan/Middletown Valley Dorian[10i]: Annapolis
			* Middletown Valley Mixolydian[10i]: Oriole
			* Other similar decatonic ± 1 scales have the following names:
			* Locrian and Pluperfect/Abundant Phrygian[10i]/Lydian and Perfect Ionian[11i]: Scala Francisci
			* Perfect Ionian through Pluperfect/Abundant Phrygian[9i]: Montréal

			[[Category:Ed8/3\| ]] <!-- main article -->
			[[Category:Edonoi]]
			[[Category:Lists of scales]]


			{{todo\|inline=1\|review\|cleanup\|improve layout}}

BudjarnLambeth: BudjarnLambeth moved page Ed8/3 to User:Xenllium/Ed8/3

2025-05-18T12:03:23Z

BudjarnLambeth moved page Ed8/3 to User:Xenllium/Ed8/3

← Older revision		Revision as of 12:03, 18 May 2025
Line 1:		Line 1:
	~~The '''equal division of 8/3''' ('''ed8/3''') is a [[tuning]] obtained by dividing the [[8/3\|Pythagorean perfect eleventh (8/3)]] in a certain number of [[equal]] steps.~~		#REDIRECT [[User:Xenllium/Ed8/3]]

	~~== Equivalence ==~~
	Division of 8/3 into equal parts does not necessarily imply directly using this interval as an [[equivalence]]. Many, though not all, ed8/3 scales have a perceptually important [[Pseudo-octave\|false octave]], with various degrees of accuracy.

	The eleventh is the highest [[period]] where composers do not need to go beyond the false octave just to have a reasonably complete chordal harmony. The structural utility of 8/3 or another eleventh as a period may be undermined, though, by the fact that 8/3 is the [[Glossary#~~A\|avoid note]] in a major modality. This matters less in Mixolydian than it does in Ionian given that the former is the natural dominant scale anyway.~~

	~~One approach to ed8/3 tunings is the use of the 3:4:5:6:(8) chord as the fundamental complete sonority in a very similar way to the 4:5:6:(8) chord in~~ [[~~meantone]].~~

	~~== Joseph Ruhf's approach ==~~
	~~{{idiosyncratic terms}}~~
	Whereas in meantone it takes four [[3/2]] to get to [[5/1]], here it takes twelve octaves to get to [[134217718/98415]] (tempering out the schisma). So, doing this yields 7-, 10- and 17- or 13-, 16- or 19-note [[mos scale]]s. While the notes are rather farther apart, the scheme is uncannily similar to the [[mohajira]] (within 8/3) temperaments. [[Joseph Ruhf]] calls this the ''Macromohajira Bolivarian mode''.

	~~=== Temperament areas ===~~
	~~Galveston Bay Temperament Area~~
	* 2L 8s and 8L 2s, 5L 5s - Galveston Symmetric, Pentachordal Major, Macro-Blackwood
	* 4L 6s and 6L 4s - Baytown
	* '''3L 7s and 7L 3s - Bolivar'''

	~~The similar decatonic scales in edIXs and edXs belong to the Chesapeake Bay Temperament Area:~~
	* Double Neapolitan[10i]: Scala Mariae/Notre Dame
	* Neapolitan/Middletown Valley Dorian[10i]: Annapolis
	* Middletown Valley Mixolydian[10i]: Oriole
	* Other similar decatonic ± 1 scales have the following names:
	* Locrian and Pluperfect/~~Abundant Phrygian[10i]/Lydian and Perfect Ionian[11i]: Scala Francisci~~
	* Perfect Ionian through Pluperfect/Abundant Phrygian[9i]: Montréal

	~~[[Category:~~Ed8/3~~\| ]] <!-- main article -->~~
	~~[[Category:Edonoi]]~~
	~~[[Category:Lists of scales~~]]


	~~{{todo\|inline=1\|review\|cleanup\|improve layout}}~~

BudjarnLambeth: BudjarnLambeth moved page Ed8/3 to User:Xenllium/Ed8/3

2025-05-18T12:03:23Z

BudjarnLambeth moved page Ed8/3 to User:Xenllium/Ed8/3

← Older revision	Revision as of 12:03, 18 May 2025
(No difference)