Aksial comma
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Ratio | 336141/336140 |
Factorization | 2^{-2} × 3^{2} × 5^{-1} × 7^{-5} × 13^{3} × 17 |
Monzo | [-2 2 -1 -5 0 3 1⟩ |
Size in cents | 0.0051503287¢ |
Name | Aksial comma |
Color name | 17o3o^{3}r^{5}g-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 (log_{2} nd) | 36.7174 |
Weil height (log_{2} 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.