299/289: Difference between revisions

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Cleanup, correction, and expansion
m - typo
 
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{{Infobox Interval
{{Infobox Interval
| Name = unidecimisma
| Name = arrokothisma
| Color name = 23o17uu3o1, twethosusutho unison
| Color name = 23o17uu3o1, twethosusutho unison
| Comma = yes
| Comma = yes
}}
}}


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:Commas with placeholder names]]
This comma was named by [[User:Inisil|Iniðil]] in 2024.
 
[[Category:Commas with unknown etymology]]

Latest revision as of 15:01, 1 March 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 comma was named by Iniðil in 2024.