81/76: Difference between revisions

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{{Infobox Interval

| Name = ~~dog comma~~

| Name = Boethius' chromatic semitone

| Color name = 19u1, inu 1sn, 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''', '''Boethius' chromatic semitone''', is a [[19-limit]] interval of about 110.3 [[cent]]s in size. It differs from [[2187/2048]], the Pythagorean apotome, by [[513/512]], the undevicesimal schisma or Boethius' comma, hence the name. It also differs from [[16/15]] by [[1216/1215]], and 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~~.

This interval has been proposed to be used as a [[comma]] to be [[tempering out|tempered out]], though the musical utility of it is unknown yet. The name ''dog comma'' was suggested by [[Xenllium]] in 2023, translated from Japanese word 犬 (いぬ, inu), a play of its [[Kite's color notation|color name]], ''inu'' (as the identical pronunciation).

== See also ==

* [[Large comma]]

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

[[Category:Semitone]]

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

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Name = dog comma
+| Name = Boethius' chromatic semitone
 | 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''', '''Boethius' chromatic semitone''', is a [[19-limit]] interval of about 110.3 [[cent]]s in size. It differs from [[2187/2048]], the Pythagorean apotome, by [[513/512]], the undevicesimal schisma or Boethius' comma, hence the name. It also differs from [[16/15]] by [[1216/1215]], and 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 ==
-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.
+This interval has been proposed to be used as a [[comma]] to be [[tempering out|tempered out]], though the musical utility of it is unknown yet. The name ''dog comma'' was suggested by [[Xenllium]] in 2023, translated from Japanese word 犬 (いぬ, inu), a play of its [[Kite's color notation|color name]], ''inu'' (as the identical pronunciation).
 == See also ==
 * [[Large comma]]
-* [[No-fives subgroup temperaments #Dog|Dog temperament]]
 [[Category:Semitone]]
-[[Category:Commas named after their color name]]