Enneadeca: Difference between revisions
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{{Monzo | {{Infobox Interval | ||
| Monzo = -14 -19 19 | |||
| Name = enneadeca | |||
| Color name = y<sup>19</sup>-4, Neyo comma | |||
| Comma = yes | |||
}} | |||
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 | [[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 == | |||
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 == | == See also == | ||
* [[ | * [[Septimal enneadeca]] | ||
== References == | |||
[[Category:Enneadecal]] | [[Category:Enneadecal]] | ||
[[Category:Commas named for their periods per equave]] | |||
Latest revision as of 08:13, 18 June 2026
| Interval information |
The enneadeca (monzo: [-14 -19 19⟩) is an unnoticeable 5-limit comma of 2.816 cents. It is the amount by which nineteen classical minor thirds fall short of five octaves, that is, 25/(6/5)19.
Temperament
Tempering out the enneadeca leads to the 5-limit enneadecal temperament, supported by equal divisions divisible by 19 such as 152edo, 171edo, and 190edo.
Etymology
This comma was named by Gene Ward Smith in 2001 in terms of the corresponding temperament, enneadecal[1], for the temperament has 19 periods per octave. The comma was at one point dubbed enneadecima[2], though it was enneadeca that stuck.