From Xenharmonic Wiki
Jump to navigation Jump to search
Interval information
Ratio 512/507
Factorization 29 × 3-1 × 13-2
Monzo [9 -1 0 0 0 -2
Size in cents 16.989676¢
Name tridecimal neutral thirds comma
Color name 3uu1, thuthu 1sn,
Thuthu comma
FJS name [math]\text{A1}_{13,13}[/math]
Special properties reduced
Tenney height (log2 nd) 17.9858
Weil height (log2 max(n, d)) 18
Wilson height (sopfr (nd)) 47
Harmonic entropy
(Shannon, [math]\sqrt{n\cdot d}[/math])
~3.41036 bits
Comma size small
open this interval in xen-calc

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.

See also