Wadisma: Difference between revisions

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The '''wadisma''' is a [[7-limit]] comma of about 3.792 cents, the amount by which [[10/3]] exceeds a stack of nine [[8/7]]s. It has the monzo {{monzo|-26 -1 1 9}} and the ratio '''201768035/201326592'''.

This comma is closely related to [[mothra]] temperament, as three 8/7s in mothra reach a [[meantone]] fifth, three of which are identified with 10/3. Therefore, the wadisma is tempered out in EDOs supporting mothra, such as {{EDOs|26, 31, and 36}}. However, there are other more accurate 7-limit tuning systems tempering it out that do not make the equivalence of (8/7)<sup>3</sup> to [[3/2]], and therefore do not temper out [[81/80]] nor [[1029/1024]], notable examples of which include [[140edo]], [[171edo]], and their sum, [[311edo]].

This comma is closely related to [[mothra]] temperament, as three 8/7s in mothra reach a [[meantone]] fifth, three of which are identified with 10/3. Therefore, the wadisma is tempered out in EDOs supporting mothra, such as {{EDOs|5, 26, 31, and 36}}. However, there are other more accurate 7-limit tuning systems tempering it out that do not make the equivalence of (8/7)<sup>3</sup> to [[3/2]], and therefore do not temper out [[81/80]] nor [[1029/1024]], notable examples of which include [[140edo]], [[171edo]], and their sum, [[311edo]].

== Etymology ==

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 The '''wadisma''' is a [[7-limit]] comma of about 3.792 cents, the amount by which [[10/3]] exceeds a stack of nine [[8/7]]s. It has the monzo {{monzo|-26 -1 1 9}} and the ratio '''201768035/201326592'''.
-This comma is closely related to [[mothra]] temperament, as three 8/7s in mothra reach a [[meantone]] fifth, three of which are identified with 10/3. Therefore, the wadisma is tempered out in EDOs supporting mothra, such as {{EDOs|26, 31, and 36}}. However, there are other more accurate 7-limit tuning systems tempering it out that do not make the equivalence of (8/7)<sup>3</sup> to [[3/2]], and therefore do not temper out [[81/80]] nor [[1029/1024]], notable examples of which include [[140edo]], [[171edo]], and their sum, [[311edo]].
+This comma is closely related to [[mothra]] temperament, as three 8/7s in mothra reach a [[meantone]] fifth, three of which are identified with 10/3. Therefore, the wadisma is tempered out in EDOs supporting mothra, such as {{EDOs|5, 26, 31, and 36}}. However, there are other more accurate 7-limit tuning systems tempering it out that do not make the equivalence of (8/7)<sup>3</sup> to [[3/2]], and therefore do not temper out [[81/80]] nor [[1029/1024]], notable examples of which include [[140edo]], [[171edo]], and their sum, [[311edo]].
 == Etymology ==