Sulbasutrisma: Difference between revisions

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{{Niche}}
{{Niche}}
{{Infobox Interval
{{Infobox interval
| Ratio = 332929/332928
| Ratio = 332929/332928
| Name = Sulbasutrisma
| Name = sulbasutrisma
| Color name = TBD
| Color name = 577oo17uu-2
| Comma = yes
| Comma = yes
}}
}}
'''332929/332928''', the '''Sulbasutrisma''', is an [[unnoticeable comma|unnoticeable]] 2.3.17.577-subgroup [[comma]] which is the difference between 577/408 and its [[octave complement]] 816/577. It is also the difference between a stack of twice [[577/576]] and [[289/288]]. As 577/408 is a convergent to sqrt(2), like [[3/2]], [[7/5]], [[17/12]], [[41/29]], [[99/70]], and 239/169, the comma separating the two is [[superparticular]].
'''332929/332928''', the '''sulbasutrisma''' is an [[unnoticeable comma|unnoticeable]] 2.3.17.577-subgroup [[comma]] which is the difference between 577/408 and its [[octave complement]] 816/577. It is also the difference between a stack of twice [[577/576]] and [[289/288]]. As 577/408 is a convergent to sqrt(2), like [[3/2]], [[7/5]], [[17/12]], [[41/29]], [[99/70]], and 239/169, the comma separating the two is [[superparticular]].


== Etymology ==
== Etymology ==

Revision as of 01:51, 5 July 2025

Interval information
Ratio 332929/332928
Subgroup monzo 2.3.17.577 [-7 -2 -2 2
Size in cents 0.005200018¢
Name sulbasutrisma
Color name 577oo17uu-2
FJS name [math]\displaystyle{ \text{d}{-2}^{577,577}_{17,17} }[/math]
Special properties square superparticular,
reduced
Tenney height (log2 nd) 36.6897
Weil height (log2 max(n, d)) 36.6897
Wilson height (sopfr(nd)) 1208
Comma size unnoticeable
Open this interval in xen-calc

332929/332928, the sulbasutrisma is an unnoticeable 2.3.17.577-subgroup comma which is the difference between 577/408 and its octave complement 816/577. It is also the difference between a stack of twice 577/576 and 289/288. As 577/408 is a convergent to sqrt(2), like 3/2, 7/5, 17/12, 41/29, 99/70, and 239/169, the comma separating the two is superparticular.

Etymology

This comma was named by Cole in 2024 after the Sulba Sutra, a classical Indian mathematical text from the third or fourth century BC that first mentioned this accurate approximation to the square root of two.