Würschmidt diesis spiral progression - Revision history

BudjarnLambeth: Add a category

2025-06-01T02:26:22Z

Add a category

← Older revision		Revision as of 02:26, 1 June 2025
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	[[Category:Augmented]]		[[Category:Augmented]]
	[[Category:Würschmidt]]		[[Category:Würschmidt]]
			[[Category:Chord progressions]]

Aura: added link

2025-05-31T17:07:40Z

added link

← Older revision		Revision as of 17:07, 31 May 2025
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	[[File:Meantone diesis spiral.png\|thumb\|Descending diesis spiral progression in meantone temperament notation.]]		[[File:Meantone diesis spiral.png\|thumb\|Descending diesis spiral progression in meantone temperament notation.]]

	Arguably the best known form of this type of spiral progression is found in 31edo, though there are other, non-meantone interpretations. Regardless, each chord change effectively moves upward or downward by a Ptolemaic major third, that is, [[5/4]], thus creating a sort of [[Wikipedia: Chromatic mediant\|chromatic-mediant]]-type motion.		Arguably the best known form of this type of [[spiral progression]] is found in 31edo, though there are other, non-meantone interpretations. Regardless, each chord change effectively moves upward or downward by a Ptolemaic major third, that is, [[5/4]], thus creating a sort of [[Wikipedia: Chromatic mediant\|chromatic-mediant]]-type motion.

	=== Würschmidt diesis spiral for three voices ===		=== Würschmidt diesis spiral for three voices ===

Aura at 17:01, 31 May 2025

2025-05-31T17:01:44Z

← Older revision		Revision as of 17:01, 31 May 2025
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	Arguably the best known form of this type of spiral progression is found in 31edo, though there are other, non-meantone interpretations. Regardless, each chord change effectively moves upward or downward by a Ptolemaic major third, that is, [[5/4]], thus creating a sort of [[Wikipedia: Chromatic mediant\|chromatic-mediant]]-type motion.		Arguably the best known form of this type of spiral progression is found in 31edo, though there are other, non-meantone interpretations. Regardless, each chord change effectively moves upward or downward by a Ptolemaic major third, that is, [[5/4]], thus creating a sort of [[Wikipedia: Chromatic mediant\|chromatic-mediant]]-type motion.

	=== ~~Wurschmidt~~ diesis spiral for three voices ===		=== Würschmidt diesis spiral for three voices ===

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

Aura: Added the Wurschmidt category, since this progression hinges on the Wurschmidt comma being tempered out

2025-05-31T16:43:46Z

Added the Wurschmidt category, since this progression hinges on the Wurschmidt comma being tempered out

← Older revision		Revision as of 16:43, 31 May 2025
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	[[Category:Listen]]		[[Category:Listen]]
	[[Category:Augmented]]		[[Category:Augmented]]
			[[Category:Würschmidt]]

Aura: Aura moved page Wurschmidt diesis spiral progression to Würschmidt diesis spiral progression: Forgot the initial umlaut on the u with the first move

2025-05-31T16:33:30Z

Aura moved page Wurschmidt diesis spiral progression to Würschmidt diesis spiral progression: Forgot the initial umlaut on the u with the first move

← Older revision	Revision as of 16:33, 31 May 2025
(No difference)

Aura at 16:32, 31 May 2025

2025-05-31T16:32:47Z

← Older revision		Revision as of 16:32, 31 May 2025
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	The '''~~Wurschmidt~~ diesis spiral progression''' is a type of chord progression that hinges on the [[~~Wurschmidt~~ comma]] being tempered out, enabling three instances of [[128/125]] to add up to [[16/15]]. As such, this progression is available in [[EDO]]s that support ~~Wurschmidt~~ temperament, such as [[31edo]] and [[~~34edo~~]].		The '''Würschmidt diesis spiral progression''' is a type of chord progression that hinges on the [[Würschmidt comma]] being tempered out, enabling three instances of [[128/125]] to add up to [[16/15]]. As such, this progression is available in [[EDO]]s that support Würschmidt temperament, such as [[31edo]], [[34edo]] and [[65edo]].

	[[File:Meantone diesis spiral.png\|thumb\|Descending diesis spiral progression in meantone temperament notation.]]		[[File:Meantone diesis spiral.png\|thumb\|Descending diesis spiral progression in meantone temperament notation.]]

Aura: Aura moved page Spiral progression to Wurschmidt diesis spiral progression: The new title better captures the essence of this progression

2025-05-31T16:06:23Z

Aura moved page Spiral progression to Wurschmidt diesis spiral progression: The new title better captures the essence of this progression

← Older revision	Revision as of 16:06, 31 May 2025
(No difference)

Aura at 16:03, 31 May 2025

2025-05-31T16:03:26Z

← Older revision		Revision as of 16:03, 31 May 2025
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	[[File:Meantone diesis spiral.png\|thumb\|Descending diesis spiral progression in meantone temperament notation.]]		[[File:Meantone diesis spiral.png\|thumb\|Descending diesis spiral progression in meantone temperament notation.]]

	Arguably the best known form of this type of spiral progression is found in 31edo, though there are other, non-meantone interpretations. Regardless, ~~Each~~ chord change effectively moves upward or downward by a Ptolemaic major third, that is, [[5/4]], thus creating a sort of [[Wikipedia: Chromatic mediant\|chromatic-mediant]]-type motion.		Arguably the best known form of this type of spiral progression is found in 31edo, though there are other, non-meantone interpretations. Regardless, each chord change effectively moves upward or downward by a Ptolemaic major third, that is, [[5/4]], thus creating a sort of [[Wikipedia: Chromatic mediant\|chromatic-mediant]]-type motion.

	=== Wurschmidt diesis spiral for three voices ===		=== Wurschmidt diesis spiral for three voices ===

Aura: Tried to add an intro that better explains what this particular type of spiral progression is, while anticipating the movement of this page to a new location

2025-05-31T16:03:12Z

Tried to add an intro that better explains what this particular type of spiral progression is, while anticipating the movement of this page to a new location

← Older revision		Revision as of 16:03, 31 May 2025
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	===~~Magic~~ spiral for three voices ~~(basic)~~===		The '''Wurschmidt diesis spiral progression''' is a type of chord progression that hinges on the [[Wurschmidt comma]] being tempered out, enabling three instances of [[128/125]] to add up to [[16/15]]. As such, this progression is available in [[EDO]]s that support Wurschmidt temperament, such as [[31edo]] and [[34edo]].

			[[File:Meantone diesis spiral.png\|thumb\|Descending diesis spiral progression in meantone temperament notation.]]

			Arguably the best known form of this type of spiral progression is found in 31edo, though there are other, non-meantone interpretations. Regardless, Each chord change effectively moves upward or downward by a Ptolemaic major third, that is, [[5/4]], thus creating a sort of [[Wikipedia: Chromatic mediant\|chromatic-mediant]]-type motion.

			=== Wurschmidt diesis spiral for three voices ===

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	<ol><li>Decide on downward (C-E-G#-B#) or upward (C-Ab-Fb-Dbb) root movement. We found downward easier almost every time.</li><li>Sing a just major triad (4:5:6), any inversion, open or closed spacing. Tune and match vowel to lowest voice.</li><li>Move in accordance with the chart. Since two people are moving each time, make eye contact to synchronize the change.</li></ol>		<ol><li>Decide on downward (C-E-G#-B#) or upward (C-Ab-Fb-Dbb) root movement. We found downward easier almost every time.</li><li>Sing a just major triad (4:5:6), any inversion, open or closed spacing. Tune and match vowel to lowest voice.</li><li>Move in accordance with the chart. Since two people are moving each time, make eye contact to synchronize the change.</li></ol>

	After three moves, you will have the same triad one diesis up or down. ~~Keep going if you can!~~		After three moves, you will have the same triad one diesis up or down, and indeed one can keep going.

	recording on [u]: [[:File:magic_spiral_basic_(andrew_jacob_ryan)_5_11_07.mp3\|magic spiral basic (andrew jacob ryan) 5_11_07.mp3]]		recording on [u]: [[:File:magic_spiral_basic_(andrew_jacob_ryan)_5_11_07.mp3\|magic spiral basic (andrew jacob ryan) 5_11_07.mp3]]

	~~=== Explanation ===~~
	~~[[File:Meantone diesis spiral.png\|thumb\|Descending diesis spiral progression in meantone temperament notation.]]~~

	~~This progression plays with the 5-limit diesis [[128/125]]. Each chord change effectively modulates upward or downward by a major third (5/4).~~

	When played in a meantone temperament that does not temper out 128/125 such as 31edo, stacking three major thirds does not make it close up into an octave, but instead falls short from the octave by one step/diesis. In 12edo, however, three major thirds close up into an octave, and so every third chord in the progression is the same.
	[[Category:Method]]		[[Category:Method]]
	[[Category:Listen]]		[[Category:Listen]]
	[[Category:Augmented]]		[[Category:Augmented]]

Sintel: Sintel moved page SpiralProgressions to Spiral progression: title case / plural

2025-05-30T16:32:50Z

Sintel moved page SpiralProgressions to Spiral progression: title case / plural

← Older revision	Revision as of 16:32, 30 May 2025
(No difference)