Enneadeca: Difference between revisions

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| Comma = yes

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{{Monzo| -14 -19 19 }}, the '''enneadeca''' or '''19-tone-comma''', is an ~~interval~~ of 2.816 ~~cents~~ which is the amount by which nineteen minor thirds fall short of five octaves, that is, 25/(6/5)19.

{{Monzo| -14 -19 19 }}, the '''enneadeca''' or '''19-tone-comma''', is an [[unnoticeable comma|unnoticeable]] [[5-limit]] [[comma]] of 2.816 [[cent]]s which is the amount by which nineteen [[6/5|classical minor thirds]] fall short of five [[2/1|octaves]], that is, 25/(6/5)19.

== Temperament ==

Tempering out the enneadeca leads to the [[enneadecal~~|enneadecal temperament~~]], supported by equal divisions divisible by 19 such as [[19edo]], [[38edo]], [[57edo]], [[76edo]], [[114edo]], [[152edo]], [[171edo]], [[190edo]] and [[228edo]].

Tempering out the enneadeca leads to the [[enneadecal]] temperament, supported by equal divisions divisible by 19 such as [[19edo]], [[38edo]], [[57edo]], [[76edo]], [[114edo]], [[152edo]], [[171edo]], [[190edo]] and [[228edo]].

== Etymology ==

This comma was named by [[Gene Ward Smith]] in 2001 in terms of the corresponding temperament, ''enneadecal''<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_2121.html Yahoo! Tuning Group | ''Shismic & co'']</ref>, for the temperament has 19 periods per octave. The comma was at one point dubbed ''enneadecima''<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_5025.html Yahoo! Tuning Group | ''5-limit comma names'']</ref>, though it was ''enneadeca'' that stuck.

== See also ==

* [[Unnoticeable comma]]

* [[Septimal enneadeca]]

== Notes ==

[[Category:Enneadecal]]

[[Category:Commas named for their periods per equave]]

~~[[Category:Commas named for the intervals they stack]]~~

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 | Comma = yes
 }}
-{{Monzo| -14 -19 19 }}, the '''enneadeca''' or '''19-tone-comma''', is an interval of 2.816 cents which is the amount by which nineteen minor thirds fall short of five octaves, that is, 2<sup>5</sup>/(6/5)<sup>19</sup>.
+{{Monzo| -14 -19 19 }}, the '''enneadeca''' or '''19-tone-comma''', is an [[unnoticeable comma|unnoticeable]] [[5-limit]] [[comma]] of 2.816 [[cent]]s which is the amount by which nineteen [[6/5|classical minor thirds]] fall short of five [[2/1|octaves]], that is, 2<sup>5</sup>/(6/5)<sup>19</sup>.
 == Temperament ==
-Tempering out the enneadeca leads to the [[enneadecal|enneadecal temperament]], supported by equal divisions divisible by 19 such as [[19edo]], [[38edo]], [[57edo]], [[76edo]], [[114edo]], [[152edo]], [[171edo]], [[190edo]] and [[228edo]].
+Tempering out the enneadeca leads to the [[enneadecal]] temperament, supported by equal divisions divisible by 19 such as [[19edo]], [[38edo]], [[57edo]], [[76edo]], [[114edo]], [[152edo]], [[171edo]], [[190edo]] and [[228edo]].
+== Etymology ==
+This comma was named by [[Gene Ward Smith]] in 2001 in terms of the corresponding temperament, ''enneadecal''<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_2121.html Yahoo! Tuning Group | ''Shismic & co'']</ref>, for the temperament has 19 periods per octave. The comma was at one point dubbed ''enneadecima''<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_5025.html Yahoo! Tuning Group | ''5-limit comma names'']</ref>, though it was ''enneadeca'' that stuck.
 == See also ==
-* [[Unnoticeable comma]]
 * [[Septimal enneadeca]]
+== Notes ==
 [[Category:Enneadecal]]
 [[Category:Commas named for their periods per equave]]
-[[Category:Commas named for the intervals they stack]]