Sulbasutrisma
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| This page presents a novelty topic. It features ideas which are less likely to find practical applications in xenharmonic music. It may contain numbers that are impractically large, exceedingly complex or chosen arbitrarily. Novelty topics are often developed by a single person or a small group. As such, this page may also feature idiosyncratic terms, notations or conceptual frameworks. |
| Ratio | 332929/332928 |
| Subgroup monzo | 2.3.17.577 [-7 -2 -2 2⟩ |
| Size in cents | 0.0052000176¢ |
| Name | Sulbasutrisma |
| Color name | TBD |
| FJS name | [math]\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]\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.