Syntonic–chromatic equivalence continuum: Difference between revisions

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The '''syntonic-chromatic equivalence continuum''' is a continuum of temperaments which equate a number of [[81/80|syntonic commas (81/80)]] with the [[2187/2048|chromatic semitone (2187/2048)]].

All temperaments in the continuum ~~satisfies~~ (81/80)<sup>''n''</sup> ~ 2187/2048. Varying ''n'' results in different temperaments such as [[whitewood]], [[mavila]], [[dicot]], [[porcupine]], [[tetracot]], [[amity]], [[gravity]], and [[absurdity]]. It converges to [[meantone]] as ''n'' approaches infinity. The just value of ''n'' is 5.2861…

All temperaments in the continuum satisfy (81/80)<sup>''n''</sup> ~ 2187/2048. Varying ''n'' results in different temperaments such as [[whitewood]], [[mavila]], [[dicot]], [[porcupine]], [[tetracot]], [[amity]], [[gravity]], and [[absurdity]]. It converges to [[meantone]] as ''n'' approaches infinity. The just value of ''n'' is 5.2861…

{| class="wikitable center-1 center-2"

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| {{monzo| -4 4 -1 }}

|}

Also fractional values of ''n'': [[enipucrop]] (''n'' = 1.5), [[seville]] (''n'' = 2.{{overline|3}}), [[sixix]] (''n'' = 2.5), [[sevond]] (''n'' = 3.5), [[brahmagupta]] (''n'' = 5.25).

[[Category:Theory]]

[[Category:Temperament]]

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 The '''syntonic-chromatic equivalence continuum''' is a continuum of temperaments which equate a number of [[81/80|syntonic commas (81/80)]] with the [[2187/2048|chromatic semitone (2187/2048)]].
-All temperaments in the continuum satisfies (81/80)<sup>''n''</sup> ~ 2187/2048. Varying ''n'' results in different temperaments such as [[whitewood]], [[mavila]], [[dicot]], [[porcupine]], [[tetracot]], [[amity]], [[gravity]], and [[absurdity]]. It converges to [[meantone]] as ''n'' approaches infinity. The just value of ''n'' is 5.2861…
+All temperaments in the continuum satisfy (81/80)<sup>''n''</sup> ~ 2187/2048. Varying ''n'' results in different temperaments such as [[whitewood]], [[mavila]], [[dicot]], [[porcupine]], [[tetracot]], [[amity]], [[gravity]], and [[absurdity]]. It converges to [[meantone]] as ''n'' approaches infinity. The just value of ''n'' is 5.2861…
 {| class="wikitable center-1 center-2"
@@ Line 63: / Line 63: @@
 | {{monzo| -4 4 -1 }}
 |}
+Also fractional values of ''n'': [[enipucrop]] (''n'' = 1.5), [[seville]] (''n'' = 2.{{overline|3}}), [[sixix]] (''n'' = 2.5), [[sevond]] (''n'' = 3.5), [[brahmagupta]] (''n'' = 5.25).
 [[Category:Theory]]
 [[Category:Temperament]]