Tridecapyth comma
Jump to navigation
Jump to search
Ratio | 3489660928/3486784401 |
Factorization | 2^{28} × 3^{-20} × 13 |
Monzo | [28 -20 0 0 0 1⟩ |
Size in cents | 1.4276445¢ |
Name | tridecapyth comma |
Color name | s^{3}3o3, trisatho 3rd, Trisatho comma |
FJS name | [math]\text{ddd3}^{13}[/math] |
Special properties | reduced |
Tenney height (log_{2} nd) | 63.3997 |
Weil height (log_{2} max(n, d)) | 63.4009 |
Wilson height (sopfr (nd)) | 129 |
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~1.21885 bits |
Comma size | unnoticeable |
open this interval in xen-calc |
The tridecapyth comma (monzo: [28 -20 0 0 0 1⟩, ratio: 3489660928/3486784401) is an unnoticeable 13-limit comma which measures roughly 1.43 cents. It is the interval which separates 13/8 and a stack of twenty perfect fifths (3/2) octave reduced, and which separates 16/13 and a stack of four Pythagorean limmas (256/243). It is perhaps more easily conceptualized as reaching 13/4 through (9/8)^{10}. In terms of commas, it is the difference between the tridecimal quartertone (1053/1024) and a stack of two Pythagorean commas.