Sulbasutrisma

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Interval information

Ratio	332929/332928
Subgroup monzo	2.3.17.577 [-7 -2 -2 2⟩
Size in cents	0.005200018¢
Name	Sulbasutrisma
Color name	TBD
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
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~1.19982 bits
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.