Würschmidt diesis spiral progression: Difference between revisions

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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.]]

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"

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[[Category:Listen]]

[[Category:Augmented]]

[[Category:Würschmidt]]

[[Category:Chord progressions]]

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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.]]
-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"
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 [[Category:Listen]]
 [[Category:Augmented]]
+[[Category:Würschmidt]]
+[[Category:Chord progressions]]