1890/1859

The Franksma is a small 13-limit comma. It is tempered out in 41edo among others. It is the difference between 11/9 and a stack consisting of 14/13 and 15/13.

Interval information

Ratio	1890/1859
Factorization	2 × 33 × 5 × 7 × 11-1 × 13-2
Monzo	[1 3 1 1 -1 -2⟩
Size in cents	28.63136¢
Name	Francksma
FJS name	[math]\displaystyle{ \text{AA1}^{5,7}_{11,13,13} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	21.7445
Weil norm (log2 max(n, d))	21.7683
Wilson norm (sopfr(nd))	60
Comma size	small
Open this interval in xen-calc

It factors into simpler commas as (105/104)⋅(144/143).

Etymology

This comma was named by phlub in 2026 after the French organ player and composer César Franck, who was appointed titular organist at the church Sainte-Clotilde in 1859, thus beginning a long music career. He died in 1890.