715/714: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Name = September comma, septembrisma, Septendecimal bridge comma
| Name = september comma, septembrisma
| Comma = yes
| Comma = yes
}}
}}


'''715/714''', the '''September comma''' or '''septembrisma''' is a [[17-limit]] [[unnoticeable comma|unnoticeable]] [[superparticular]] comma with a size of approximately 2.42 [[cent]]s. It is also known as the '''septendecimal bridge comma'''.
'''715/714''', the '''september comma''' or '''septembrisma''' is a [[17-limit]] [[unnoticeable comma|unnoticeable]] [[superparticular]] comma with a size of approximately 2.42 [[cent]]s. It is also described as the ''septendecimal bridge comma''.
 
== Commatic relations ==
This comma identifies itself as the difference between the following superparticular pairs:
* [[120/119]] and [[144/143]]
* [[154/153]] and [[196/195]]
* [[273/272]] and [[441/440]]
* [[325/324]] and [[595/594]]
* [[385/384]] and [[833/832]]
* [[442/441]] and [[1156/1155]]
* [[561/560]] and [[2601/2600]]
* [[676/675]] and [[12376/12375]]
 
not to mention some nonsuperparticular but useful relations:
* [[375/374]] and [[1575/1573]]
 
It factors into the following superparticular pairs:
* [[1225/1224]] and [[1716/1715]]
* [[1089/1088]] and [[2080/2079]]
* [[1001/1000]] and [[2500/2499]]
* [[936/935]] and [[3025/3024]]
* [[729/728]] and [[37180/37179]]
 
not to mention some nonsuperparticular but useful relations:
* [[2025/2023]] and [[2431/2430]]
* [[2200/2197]] and [[28561/28560]]
 
== Temperaments ==
Tempering out this comma in the 17-limit gives the rank-6 '''september temperament''', and enables the related essentially tempered chords.
 
== Etymology ==
The september comma was named by [[Scott Dakota]] in 2021.  
 
[[Category:September]]