Sulbasutrisma

This page presents a topic of primarily mathematical interest. While it is derived from sound mathematical principles, its applications in terms of utility for actual music may be limited, highly contrived, or as yet unknown.

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.