Enneadeca: Difference between revisions

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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.

{{Infobox Interval

| Monzo = -14 -19 19

| Name = enneadeca, 19-tone-comma

| Color name = y19-4, Neyo comma

| Comma = yes

}}

{{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:5-limit]]~~

~~[[Category:Unnoticeable commas]]~~

[[Category:Enneadecal]]

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

@@ Line 1: / Line 1: @@
-{{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>.
+{{Infobox Interval
+| Monzo = -14 -19 19
+| Name = enneadeca, 19-tone-comma
+| Color name = y<sup>19</sup>-4, Neyo comma
+| Comma = yes
+}}
+{{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:5-limit]]
-[[Category:Unnoticeable commas]]
 [[Category:Enneadecal]]
+[[Category:Commas named for their periods per equave]]