1890/1859: Difference between revisions

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I think it's fine, but the spelling of the name needs confirmation. Expand.
m Fix typo (confirm spelling, although unsure about capitalization, but it's not like the wiki is super rigorous with that yet anyway)
 
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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]].  
The '''Francksma''' 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]]).  
It factors into simpler commas as ([[105/104]])⋅([[144/143]]).  


== Etymology ==
== Etymology ==
This comma was named by [[phlub]] in 2026 after the French organ player and composer {{w|César Franck}}, who was appointed titular organist at the church Sainte-Clotilde in 1859, thus beginning a long music career. He died in 1890.  
This comma was named by [[User:phlub|phlub]] in 2026 after the French organ player and composer {{w|César Franck}}, who was appointed titular organist at the church Sainte-Clotilde in 1859, thus beginning a long music career. He died in 1890.  


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

Latest revision as of 21:20, 15 July 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 Francksma 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.