496/495

From Xenharmonic Wiki
Jump to navigation Jump to search
Interval information
Ratio 496/495
Subgroup monzo 2.3.5.11.31 [4 -2 -1 -1 1
Size in cents 3.493915¢
Name navatonisma
FJS name [math]\text{P1}^{31}_{5,11}[/math]
Special properties superparticular,
reduced
Tenney height (log2 nd) 17.9055
Weil height (log2 max(n, d)) 17.9084
Wilson height (sopfr(nd)) 61
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~1.31147 bits
Comma size unnoticeable
S-expression S31 × S32
Open this interval in xen-calc

496/495, the navatonisma, is a 31-limit or 2.3.5.11.31-subgroup superparticular comma of about 3.494 cents. This size barely make it an unnoticeable comma; actually it's the largest superparticular comma smaller than 3.5 cents.

This comma is the difference between two navatones: 45/16 and 31/11. It's also the difference between 31/30 and 33/32, between 33/31 and 16/15, or between 225/224 and 155/154, etc.

This is also a triangle-particular comma.

Etymology

The navatonisma was named by FilterNashi in 2025.

See also