Aksial comma
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Ratio
336141/336140
Factorization
2-2 × 32 × 5-1 × 7-5 × 133 × 17
Monzo
[-2 2 -1 -5 0 3 1⟩
Size in cents
0.005150329¢
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
| Interval information |
sotritho-aquinru-agu negative 2nd
reduced
(Shannon, [math]\sqrt{nd}[/math])
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.