512/507
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Ratio
512/507
Factorization
29 × 3-1 × 13-2
Monzo
[9 -1 0 0 0 -2⟩
Size in cents
16.98968¢
Name
tridecimal neutral thirds comma
Color name
3uu1, thuthu 1sn,
Thuthu comma
FJS name
[math]\text{A1}_{13,13}[/math]
Special properties
reduced,
reduced subharmonic
Tenney height (log2 nd)
17.9858
Weil height (log2 max(n, d))
18
Wilson height (sopfr(nd))
47
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~3.31045 bits
Comma size
small
open this interval in xen-calc
| Interval information |
Thuthu comma
reduced subharmonic
(Shannon, [math]\sqrt{nd}[/math])
512/507, the tridecimal neutral thirds comma, is a 13-limit (also 2.3.13 subgroup) comma with a value of roughly 17.0 cents. It is significant in just intonation as the amount by which the tridecimal neutral third, 16/13, differs from its fifth complement, 39/32, as well as the amount by which a stack of two 1053/1024 quartertones fall short of the apotome.