Septendecima: Difference between revisions
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| Monzo = -52 -17 34 | | Monzo = -52 -17 34 | ||
| Name = septendecima | | Name = septendecima | ||
| FJS name = - | |||
| Color name = LLy<sup>34</sup>-8, lala-sebiyo negative octave | | Color name = LLy<sup>34</sup>-8, lala-sebiyo negative octave | ||
| Comma = yes | | Comma = yes | ||
}} | }} | ||
The '''septendecima''' ([[monzo]]: {{monzo| -52 -17 34 }}) is an [[unnoticeable comma|unnoticeable]] [[5-limit]] [[comma]]. It is the difference between a stack of seventeen [[25/24]]'s and one [[2/1|octave]]. | |||
The | == Temperaments == | ||
The [[regular temperament|temperament]] which [[tempering out|tempers out]] only this comma is 5-limit [[chlorine]]. The octave must be divisible by 17 in order to temper out this comma. Any edo such as [[311edo]], which is not a multiple of 17 cannot be tempering out this comma. | |||
== Etymology == | |||
This comma was once named by [[Gene Ward Smith]] in 2001 in terms of the corresponding temperament, ''heptadecal'', for the temperament has 17 periods per octave<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_2121.html Yahoo! Tuning Group | ''Shismic & co'']</ref>. The logical name for the comma would be ''heptadeca'', following ''[[enneadeca]]''. By 2012, it had been changed to ''septendecima'', the Latin equivalent<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_104268.html#104413 Yahoo! Tuning Group | ''2D temperament names, part I -- reclassified temperaments from message #101780'']</ref>. It was unclear how and why the change was made. | |||
== References == | |||
[[Category:Chlorine]] | [[Category:Chlorine]] | ||
[[Category:Commas named for their periods per equave]] | |||
Latest revision as of 09:03, 5 March 2026
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The septendecima (monzo: [-52 -17 34⟩) is an unnoticeable 5-limit comma. It is the difference between a stack of seventeen 25/24's and one octave.
Temperaments
The temperament which tempers out only this comma is 5-limit chlorine. The octave must be divisible by 17 in order to temper out this comma. Any edo such as 311edo, which is not a multiple of 17 cannot be tempering out this comma.
Etymology
This comma was once named by Gene Ward Smith in 2001 in terms of the corresponding temperament, heptadecal, for the temperament has 17 periods per octave[1]. The logical name for the comma would be heptadeca, following enneadeca. By 2012, it had been changed to septendecima, the Latin equivalent[2]. It was unclear how and why the change was made.