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 '''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 [[octave]].  
== 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.  


The [[regular temperament|temperament]] which [[tempering out|tempers out]] only this comma is 5-limit [[Ragismic microtemperaments #Chlorine|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]]
[[Category:Commas named for their periods per equave]]
[[Category:Commas named for the intervals they stack]]