Enneadeca: Difference between revisions

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{{Infobox Interval

| Monzo = -14 -19 19

| Name = enneadeca~~, 19-tone-comma~~

| Name = enneadeca

| 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.

The '''enneadeca''' ({{monzo|legend=1| -14 -19 19 }}) is an [[unnoticeable comma|unnoticeable]] [[5-limit]] [[comma]] of 2.816 [[cent]]s. It 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]] 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 5-limit [[enneadecal]] temperament, [[support]]ed by equal divisions divisible by 19 such as [[152edo]], [[171edo]], and [[190edo]].

== Etymology ==

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* [[Septimal enneadeca]]

== ~~Notes~~ ==

== References ==

[[Category:Enneadecal]]

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

@@ Line 1: / Line 1: @@
 {{Infobox Interval
 | Monzo = -14 -19 19
-| Name = enneadeca, 19-tone-comma
+| Name = enneadeca
 | 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>.
+The '''enneadeca''' ({{monzo|legend=1| -14 -19 19 }}) is an [[unnoticeable comma|unnoticeable]] [[5-limit]] [[comma]] of 2.816 [[cent]]s. It 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]] 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 5-limit [[enneadecal]] temperament, [[support]]ed by equal divisions divisible by 19 such as [[152edo]], [[171edo]], and [[190edo]].
 == Etymology ==
@@ Line 16: / Line 16: @@
 * [[Septimal enneadeca]]
-== Notes ==
+== References ==
 [[Category:Enneadecal]]
 [[Category:Commas named for their periods per equave]]