Würschmidt comma: Difference between revisions

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In terms of commas, it is the difference between:

* a [[syntonic comma]] and a [[semicomma]]: ([[81/80]])/([[2109375/2097152]]); tempering out both leads to [[31edo]], so that this comma is found in the {{nowrap| [[syntonic–31 equivalence continuum]] }}.

* two dieses and a [[25/24|classic chromatic semitone]]: ([[128/125]])2/([[25/24]]); tempering out both leads to the trivial tuning [[3edo]], so that this comma is ~~found in~~ found in the {{nowrap| [[augmented–dicot equivalence continuum]] }}.

* two dieses and a [[25/24|classic chromatic semitone]]: ([[128/125]])2/([[25/24]]); tempering out both leads to the trivial tuning [[3edo]], so that this comma is found in the {{nowrap| [[augmented–dicot equivalence continuum]] }}.

* a [[128/125|diesis]] and a [[magic comma]]: ([[128/125]])/([[3125/3072]]); tempering out both also leads 3edo, because the magic comma is itself equal to (25/24)/(128/125), so that it's equivalent to the previous expression.

* two diaschismas and a [[tetracot comma]]: ([[2048/2025]])2/([[20000/19683]]); tempering out both leads to [[34edo]], so that this comma is found in the {{nowrap| [[diaschismic–tetracot equivalence continuum]] }}.

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 In terms of commas, it is the difference between:
 * a [[syntonic comma]] and a [[semicomma]]: ([[81/80]])/([[2109375/2097152]]); tempering out both leads to [[31edo]], so that this comma is found in the {{nowrap| [[syntonic–31 equivalence continuum]] }}.
-* two dieses and a [[25/24|classic chromatic semitone]]: ([[128/125]])<sup>2</sup>/([[25/24]]); tempering out both leads to the trivial tuning [[3edo]], so that this comma is found in found in the {{nowrap| [[augmented–dicot equivalence continuum]] }}.
+* two dieses and a [[25/24|classic chromatic semitone]]: ([[128/125]])<sup>2</sup>/([[25/24]]); tempering out both leads to the trivial tuning [[3edo]], so that this comma is found in the {{nowrap| [[augmented–dicot equivalence continuum]] }}.
 * a [[128/125|diesis]] and a [[magic comma]]: ([[128/125]])/([[3125/3072]]); tempering out both also leads 3edo, because the magic comma is itself equal to (25/24)/(128/125), so that it's equivalent to the previous expression.
 * two diaschismas and a [[tetracot comma]]: ([[2048/2025]])<sup>2</sup>/([[20000/19683]]); tempering out both leads to [[34edo]], so that this comma is found in the {{nowrap| [[diaschismic–tetracot equivalence continuum]] }}.