1890/1859: Difference between revisions

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Hkm (talk | contribs)
just a pretty inaccurate comma that doesn't seem all that notable
I think it's fine, but the spelling of the name needs confirmation. Expand.
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{{Infobox interval
{{Infobox interval
| Name = Francksma
| Name = Francksma
| Comma = yes
| Comma = yes
}}
}}
The '''Franksma''' is a [[small comma|small]] [[13-limit]] [[comma]]. It is [[tempering out|tempered out]] in [[41edo]] among others. It equates (14/13)*(15/13) to (11/9).
The '''Franksma''' is a [[small comma|small]] [[13-limit]] [[comma]]. It is [[tempering out|tempered out]] in [[41edo]] among others. It is the difference between [[11/9]] and a stack consisting of [[14/13]] and [[15/13]].
 
It factors into simpler commas as ([[105/104]])([[144/143]]).  


== Etymology ==
== Etymology ==
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[[Category:Commas named after individuals]]
[[Category:Commas named after individuals]]
{{Todo|confirm|comment= Unify the spelling of the name. }}

Revision as of 07:03, 28 February 2026

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

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.

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.