1701/1690

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
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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.