1701/1690: Difference between revisions
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Created page with "{{Infobox interval | Name = Kuhnausma | Comma = yes }} The '''Kuhnausma''' is a small 13-limit comma. It is tempered out in 41edo among others. It tempers out the difference between 189/169 and 10/9. == Etymology == This comma was named by phlub in 2026 after {{w|Johann Kuhnau}}. He published the first part of his Neue Clavier-Übung in 1690, and was appointed {{w|Thomaskantor}} of Leipzig in 1701, a post which h..." |
Decompose the intervals more. + factorization. Style |
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{{Infobox interval | {{Infobox interval | ||
| Name = | | Name = kuhnausma | ||
| Comma = yes | | Comma = yes | ||
}} | }} | ||
The ''' | The '''kuhnausma''' is a [[small comma|small]] [[13-limit]] [[comma]]. It is [[tempering out|tempered out]] in [[41edo]] among others. It is the amount by which a stack of two [[13/9]]'s exceeds [[21/10]]. Alternatively, it is the difference between [[21/13]] and a stack consisting of [[10/9]] and [[13/9]]. | ||
It factors into simpler commas as ([[196/195]])⋅([[729/728]]) or ([[441/440]])⋅([[1188/1183]]). | |||
== Etymology == | == Etymology == | ||
Latest revision as of 06:53, 28 February 2026
| Interval information |
The kuhnausma is a small 13-limit comma. It is tempered out in 41edo among others. It is the amount by which a stack of two 13/9's exceeds 21/10. Alternatively, it is the difference between 21/13 and a stack consisting of 10/9 and 13/9.
It factors into simpler commas as (196/195)⋅(729/728) or (441/440)⋅(1188/1183).
Etymology
This comma was named by phlub in 2026 after Johann Kuhnau. He published the first part of his Neue Clavier-Übung in 1690, and was appointed Thomaskantor of Leipzig in 1701, a post which he held 21 years until his death, when he was succeeded by Johann Sebastian Bach.