81/76: Difference between revisions

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| Color name = 19u1, inu 1sn, 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).

'''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]].

== Etymology ==

The word ''dog'' for this interval was introduced by [[User:Xenllium|Xenllium]] in 2023. It was translated from Japanese word 犬 (いぬ, inu), a play of its [[Color notation|color name]], ''inu'' (as the identical pronunciation).

== 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 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]]

@@ Line 3: / Line 3: @@
 | 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).
+'''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]].
 == Etymology ==
 The word ''dog'' for this interval was introduced by [[User:Xenllium|Xenllium]] in 2023. It was translated from Japanese word <span style="font-family:san-serif" lang="ja">犬</span> (<span style="font-family:san-serif" lang="ja">いぬ</span>, inu), a play of its [[Color notation|color name]], ''inu'' (as the identical pronunciation).
+== Temperaments ==
+{{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]]