299/289: Difference between revisions

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named after distant object in Solar system, which reflects distant character of the comma in the sequence of prime harmonics
Source of the name
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In [[23-limit]] [[just intonation]], '''299/289''' is a [[quartertone]] measuring about 58.9 [[cent]]s. It is the difference between [[17/13]] and [[23/17]].  
In [[23-limit]] [[just intonation]], '''299/289''', the '''arrokothisma''', is a [[quartertone]] measuring about 58.9 [[cent]]s. It is the difference between [[17/13]] and [[23/17]].  


If treated as a [[comma]] to be [[tempered out]], it results in a [[rank-2]] temperament in the 13.17.23 [[subgroup]].
If treated as a [[comma]] to be [[tempered out]], it results in a [[rank-2]] temperament in the 13.17.23 [[subgroup]].


[[Category:Medium_commas]]
This commas was named by [[User:Inisil|Iniðil]] in 2024.
 
[[Category:Commas with unknown etymology]]

Revision as of 07:22, 28 February 2026

Interval information
Ratio 299/289
Subgroup monzo 13.17.23 [1 -2 1
Size in cents 58.89119¢
Name arrokothisma
Color name 23o17uu3o1, twethosusutho unison
FJS name [math]\displaystyle{ \text{d}{-2}^{13,23}_{17,17} }[/math]
Special properties reduced
Tenney norm (log2 nd) 16.3989
Weil norm (log2 max(n, d)) 16.448
Wilson norm (sopfr(nd)) 70
Comma size medium
Open this interval in xen-calc

In 23-limit just intonation, 299/289, the arrokothisma, is a quartertone measuring about 58.9 cents. It is the difference between 17/13 and 23/17.

If treated as a comma to be tempered out, it results in a rank-2 temperament in the 13.17.23 subgroup.

This commas was named by Iniðil in 2024.