Cantonisma: Difference between revisions
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'''10985/10976''', otherwise known as the '''cantonisma''', is an [[unnoticeable comma]] of the [[13-limit]] with a value of approximately 1.4 [[cent]]s. It forms the difference by which a stack of three [[14/13]]'s (trienthirds) falls short of [[5/4]] (classical major third). It factors into ([[1716/1715]])([[4225/4224]]). It is tempered out in such notable [[edo]]s as {{EDOs| 46, 84, 94, 103, 111, 121, 130, 159, 224, 270, 494 and 764 }}, leading to a variety of temperaments in which three trienthirds make up a 5/4 major third. | '''10985/10976''', otherwise known as the '''cantonisma''', is an [[unnoticeable comma]] of the [[13-limit]] with a value of approximately 1.4 [[cent]]s. It forms the difference by which a stack of three [[14/13]]'s (trienthirds) falls short of [[5/4]] (classical major third). It factors into ([[1716/1715]])([[4225/4224]]). It is tempered out in such notable [[edo]]s as {{EDOs| 46, 84, 94, 103, 111, 121, 130, 159, 224, 270, 494 and 764 }}, leading to a variety of temperaments in which three trienthirds make up a 5/4 major third. | ||
== Etymology == | |||
This comma was named by [[Margo Schulter]] in 2013 after [[Gene Ward Smith]]'s [[canton]] scale<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_106251.html Yahoo! Tuning Group | ''Gene's 10985/10976 or (14/13)^3 vs. 5/4 as cantonisma'']</ref>. | |||
== See also == | == See also == | ||
* [[Unnoticeable comma]] | * [[Unnoticeable comma]] | ||
== Notes == | |||
[[Category:Cantonismic]] | [[Category:Cantonismic]] | ||
Revision as of 09:14, 20 July 2023
| Interval information |
10985/10976, otherwise known as the cantonisma, is an unnoticeable comma of the 13-limit with a value of approximately 1.4 cents. It forms the difference by which a stack of three 14/13's (trienthirds) falls short of 5/4 (classical major third). It factors into (1716/1715)(4225/4224). It is tempered out in such notable edos as 46, 84, 94, 103, 111, 121, 130, 159, 224, 270, 494 and 764, leading to a variety of temperaments in which three trienthirds make up a 5/4 major third.
Etymology
This comma was named by Margo Schulter in 2013 after Gene Ward Smith's canton scale[1].