63/62: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Name = 31-limit Co-Archyta
| Name = co-archytas comma
| Color name = 31uz2, thiwuzo 2nd,<br>Thiwuzo comma
| Color name = 31uz2, thiwuzo 2nd,<br>Thiwuzo comma
| Sound = Ji-63-62-csound-foscil-220hz.mp3
| Sound = Ji-63-62-csound-foscil-220hz.mp3
| Comma = yes
| Comma = yes
}}
}}
The interval '''63/62''' combines with [[64/63]] (Archytas' comma) to [[32/31]], the smaller 31-limit quarter tone.
'''63/62''', the '''co-archytas comma''', is a [[small comma|small]] [[31-limit]] (specifically 2.3.7.31-[[subgroup]]) [[comma]] measuring about 27.7 [[cent]]s. It is the difference between [[31/27]] and [[7/6]], between [[31/18]] and [[7/4]], between [[31/24]] and [[21/16]], between [[31/28]] and [[9/8]], and between [[31/21]] and [[3/2]]. It lies next to [[64/63]] (archytas comma) and combines with it to [[32/31]], the smaller 31-limit quartertone.
 
== Etymology ==
This comma was known as the ''co-archyta[s] comma'' no later than 2020, most likely due to its numerical adjacency to the archytas comma, 64/63.  


== See also ==
== See also ==
* [[Gallery of just intervals]]
* [[List of superparticular intervals]]
* [[Comma]]
* [[64/63]]




{{stub}}
[[Category:Commas named after polymaths]]
[[Category:Commas with unknown etymology]]

Latest revision as of 12:45, 21 January 2026

Interval information
Ratio 63/62
Subgroup monzo 2.3.7.31 [-1 2 1 -1
Size in cents 27.70034¢
Name co-archytas comma
Color name 31uz2, thiwuzo 2nd,
Thiwuzo comma
FJS name [math]\displaystyle{ \text{m2}^{7}_{31} }[/math]
Special properties superparticular,
reduced
Tenney norm (log2 nd) 11.9315
Weil norm (log2 max(n, d)) 11.9546
Wilson norm (sopfr(nd)) 46
Comma size small

[sound info]
Open this interval in xen-calc

63/62, the co-archytas comma, is a small 31-limit (specifically 2.3.7.31-subgroup) comma measuring about 27.7 cents. It is the difference between 31/27 and 7/6, between 31/18 and 7/4, between 31/24 and 21/16, between 31/28 and 9/8, and between 31/21 and 3/2. It lies next to 64/63 (archytas comma) and combines with it to 32/31, the smaller 31-limit quartertone.

Etymology

This comma was known as the co-archyta[s] comma no later than 2020, most likely due to its numerical adjacency to the archytas comma, 64/63.

See also