512/507
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Ratio | 512/507 |
Factorization | 2^{9} × 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, reduced subharmonic |
Tenney height (log_{2} n⋅d) | 17.9858 |
Weil height (max(n, d)) | 512 |
Benedetti height (n⋅d) | 259584 |
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.