81/76: Difference between revisions

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| Color name = 19u1, inu 1sn, <br>Inu comma

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'''81/76''', the '''dog comma''' is a [[19-limit]] interval, 110.3 [[cent]]s in size. It is the difference between [[19/16]] (otonal minor third) and [[81/64]] (Pythagorean major third) and thus is [[81/80]] larger than [[20/19]].

'''81/76''', the '''dog comma''' is a [[19-limit]] interval, 110.3 [[cent]]s in size. It is the difference between [[19/16]] (otonal minor third) and [[81/64]] (Pythagorean major third) and thus is [[81/80]] larger than [[20/19]]. It differs from [[16/15]] by [[1216/1215]], and from [[2187/2048]] by [[513/512]].

== Etymology ==

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== Temperaments ==

Tempering this interval leads to a 2.3.19 version of [[mavila]] where four mavila fifths yields [[19/16]], so is potentially of relevance in [[16edo]] if one wants to interpret its fifth as ~3/2.

Tempering this interval leads to a 2.3.19 version of [[mavila]] where four mavila fifths yields [[19/16]], so is potentially of relevance in [[16edo]] if one wants to interpret its fifth as a 27{{cent}} flat ~3/2.

== See also ==

* [[Large comma]]

* [[No-fives subgroup temperaments #Dog|Dog temperament]]

[[Category:Semitone]]

[[Category:Commas named after their color name]]

[[Category:Commas named by translating something into another language]]

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 | Color name = 19u1, inu 1sn, <br>Inu comma
 }}
-'''81/76''', the '''dog comma''' is a [[19-limit]] interval, 110.3 [[cent]]s in size. It is the difference between [[19/16]] (otonal minor third) and [[81/64]] (Pythagorean major third) and thus is [[81/80]] larger than [[20/19]].
+'''81/76''', the '''dog comma''' is a [[19-limit]] interval, 110.3 [[cent]]s in size. It is the difference between [[19/16]] (otonal minor third) and [[81/64]] (Pythagorean major third) and thus is [[81/80]] larger than [[20/19]]. It differs from [[16/15]] by [[1216/1215]], and from [[2187/2048]] by [[513/512]].
 == Etymology ==
@@ Line 9: / Line 9: @@
 == Temperaments ==
-Tempering this interval leads to a 2.3.19 version of [[mavila]] where four mavila fifths yields [[19/16]], so is potentially of relevance in [[16edo]] if one wants to interpret its fifth as ~3/2.
+{{see also| No-fives subgroup temperaments #Dog }}
+Tempering this interval leads to a 2.3.19 version of [[mavila]] where four mavila fifths yields [[19/16]], so is potentially of relevance in [[16edo]] if one wants to interpret its fifth as a 27{{cent}} flat ~3/2.
 == See also ==
 * [[Large comma]]
-* [[No-fives subgroup temperaments #Dog|Dog temperament]]
 [[Category:Semitone]]
+[[Category:Commas named after their color name]]
+[[Category:Commas named by translating something into another language]]