351/343
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Ratio
351/343
Factorization
33 × 7-3 × 13
Monzo
[0 3 0 -3 0 1⟩
Size in cents
39.91494¢
Name
keladisma
Color name
Thotriru comma
FJS name
[math]\text{m}{-2}^{13}_{7,7,7}[/math]
Special properties
reduced
Tenney height (log2 nd)
16.8774
Weil height (log2 max(n, d))
16.9107
Wilson height (sopfr(nd))
43
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.51871 bits
Comma size
medium
open this interval in xen-calc
| Interval information |
(Shannon, [math]\sqrt{nd}[/math])
351/343, the keladisma, is a no-twos 13-limit and 3.7.13 subgroup comma of about 40 cents. It can be defined as the difference between a stack of three 7/3 minor tenths and the 13th harmonic. Tempering this out in the 3.7.13 subgroup leads to the keladic temperament, generated by a sharp 7/3 or flat 9/7 against the tritave.
This comma is notably also tempered out in Minalzidar, the 3.7.11.13 extension of Mintaka, and in squad, a full 13-limit extension of squares.