1701/1690

Revision as of 01:55, 28 February 2026 by Phlub (talk | contribs) (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...")
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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.

Interval information
Ratio 1701/1690
Factorization 2-1 × 35 × 5-1 × 7 × 13-2
Monzo [-1 5 -1 1 0 -2
Size in cents 11.23187¢
Name Kuhnausma
FJS name [math]\displaystyle{ \text{A1}^{7}_{5,13,13} }[/math]
Special properties reduced
Tenney norm (log2 nd) 21.455
Weil norm (log2 max(n, d)) 21.4643
Wilson norm (sopfr(nd)) 55
Comma size small
Open this interval in xen-calc

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.