Tridecapyth comma
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| Ratio | 3489660928/3486784401 |
| Factorization | 228 × 3-20 × 13 |
| Monzo | [28 -20 0 0 0 1⟩ |
| Size in cents | 1.4276445¢ |
| Name | tridecapyth comma |
| Color name | s33o3, trisatho 3rd, Trisatho comma |
| FJS name | [math]\text{ddd3}^{13}[/math] |
| Special properties | reduced |
| Tenney height (log2 nd) | 63.3997 |
| Weil height (log2 max(n, d)) | 63.4009 |
| Wilson height (sopfr (nd)) | 129 |
| Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~2.40679 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.