Enneadeca: Difference between revisions
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== Temperament == | == Temperament == | ||
Tempering out the enneadeca leads to the [[enneadecal | 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 == | == See also == | ||
* [[Unnoticeable comma]] | * [[Unnoticeable comma]] | ||
* [[Septimal enneadeca]] | * [[Septimal enneadeca]] | ||
== Notes == | |||
[[Category:Enneadecal]] | [[Category:Enneadecal]] | ||
[[Category:Commas named for their periods per equave]] | [[Category:Commas named for their periods per equave]] | ||
Revision as of 05:46, 17 April 2025
| Interval information |
19-tone-comma
[-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.
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.
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.