Aksial comma

From Xenharmonic Wiki
(Redirected from 336141/336140)
Jump to navigation Jump to search
Interval information
Ratio 336141/336140
Factorization 2-2 × 32 × 5-1 × 7-5 × 133 × 17
Monzo [-2 2 -1 -5 0 3 1
Size in cents 0.0051503287¢
Name Aksial comma
Color name 17o3o3r5g-2,
sotritho-aquinru-agu negative 2nd
FJS name [math]\text{A}{-2}^{13,13,13,17}_{5,7,7,7,7,7}[/math]
Special properties superparticular,
reduced
Tenney height (log2 nd) 36.7174
Weil height (log2 max(n, d)) 36.7174
Wilson height (sopfr (nd)) 106
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~1.19982 bits
Comma size unnoticeable
open this interval in xen-calc

The aksial comma is an unnoticeable 17-limit comma measuring 0.0052 cents, with a frequency ratio of 336141/336140. It is the smallest superparticular 17-limit interval.

Commatic relations

This comma is the difference between the following superparticular pairs:

Etymology

It is named, together with the lateral comma, by Akselai in 2024. The name is a blend of "axial" and "Akselai".

Originally, 194481/194480 was intended to be named the axial comma, based on the factorization of 31213/31212, the E-shaped comma, into 37180/37179 (lateral comma) and 194481/194480, referring to the rectilinear shape of the letter E. However, the latter was already named as the scintillisma.

See also