Enneadeca: Difference between revisions

Rework intro
I haven't seen anyone use the term "19-tone-comma". It's not very clear anyway
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{{Infobox Interval
{{Infobox Interval
| Monzo = -14 -19 19
| Monzo = -14 -19 19
| Name = enneadeca, 19-tone-comma
| Name = enneadeca
| Color name = y<sup>19</sup>-4, Neyo comma
| Color name = y<sup>19</sup>-4, Neyo comma
| Comma = yes
| 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 ==
== 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 [[19edo]], [[38edo]], [[57edo]], [[76edo]], [[114edo]], [[152edo]], [[171edo]], [[190edo]] and [[228edo]].  


== Etymology ==
== Etymology ==
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* [[Septimal enneadeca]]
* [[Septimal enneadeca]]


== Notes ==
== References ==


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