Septendecima: Difference between revisions

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| Ratio = 582 076 609 134 674 072 265 625 / <br>581 595 589 965 365 114 830 848

| Monzo = -52 -17 34

~~| Cents = 1.4314~~

| Name = septendecima

| Color name = LLy<sup>34</sup>-8, lala-sebiyo negative octave

| Comma = yes

}}

The '''septendecima''' ([[monzo]]: {{monzo| -52 -17 34 }}) is a [[5-limit]] [[~~unnoticeable~~ comma]]. It ~~represents~~ the difference between a stack of seventeen [[25/24]] ~~intervals~~ and one ~~octave, and tempering it out means that~~ [[25/~~24 equal-step tuning]] is equated with [[17edo]]. Therefore, a temperament must be divisible by 17 in order to temper out this comma, any edo such as [[311edo~~]]~~, which isn't a multiple of 17 cannot be tempering out the 25/24 kleisma~~.

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]].

== ~~See also~~ ==

== Temperaments ==

* [[~~Unnoticeable~~ 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]]''. It was unclear how and why it was changed to ''septendecima'', the Latin equivalent.

== Notes ==

~~[[Category:5-limit]]~~

~~[[Category:Unnoticeable comma]]~~

[[Category:Chlorine]]

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

@@ Line 2: / Line 2: @@
 | Ratio = 582 076 609 134 674 072 265 625 / <br>581 595 589 965 365 114 830 848
 | Monzo = -52 -17 34
-| Cents = 1.4314
 | Name = septendecima
+| Color name = LLy<sup>34</sup>-8, lala-sebiyo negative octave
+| Comma = yes
 }}
-The '''septendecima''' ([[monzo]]: {{monzo| -52 -17 34 }}) is a [[5-limit]] [[unnoticeable comma]]. It represents the difference between a stack of seventeen [[25/24]] intervals and one octave, and tempering it out means that [[25/24 equal-step tuning]] is equated with [[17edo]]. Therefore, a temperament must be divisible by 17 in order to temper out this comma, any edo such as [[311edo]], which isn't a multiple of 17 cannot be tempering out the 25/24 kleisma.
+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]].
-== See also ==
+== Temperaments ==
-* [[Unnoticeable 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]]''. It was unclear how and why it was changed to ''septendecima'', the Latin equivalent.
+== Notes ==
-[[Category:5-limit]]
-[[Category:Unnoticeable comma]]
 [[Category:Chlorine]]
+[[Category:Commas named for their periods per equave]]