Mean thirds comma

From Xenharmonic Wiki
Jump to navigation Jump to search
Interval information
Ratio 1053405/1048576
Factorization 2-20 × 36 × 5 × 172
Monzo [-20 6 1 0 0 0 2
Size in cents 7.9545381¢
Name mean thirds comma
Color name L17ooy1, lasosoyo unison
FJS name [math]\text{P1}^{5,17,17}[/math]
Special properties reduced,
reduced harmonic
Tenney height (log2 nd) 40.0066
Weil height (log2 max(n, d)) 40.0133
Wilson height (sopfr(nd)) 97
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~1.76888 bits
Comma size small
open this interval in xen-calc

The mean thirds comma, 1053405/1048576, is a small 17-limit comma equal to the difference between a stack of two 64/51 septendecimal artomean major thirds and a stack of a 5/4 classic major third and an 81/64 Pythagorean major third.