1053/1024
Jump to navigation
Jump to search
| Ratio | 1053/1024 |
| Factorization | 2-10 × 34 × 13 |
| Monzo | [-10 4 0 0 0 1⟩ |
| Size in cents | 48.347665¢ |
| Names | tridecimal quartertone, tridecimal comma |
| Color name | L3o1, latho 1sn, Latho comma |
| FJS name | [math]\text{P1}^{13}[/math] |
| Special properties | reduced |
| Tenney height (log2 nd) | 20.0403 |
| Weil height (log2 max(n, d)) | 20.0806 |
| Wilson height (sopfr (nd)) | 45 |
| Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~4.78658 bits |
| Comma size | medium |
| open this interval in xen-calc | |
1053/1024, the tridecimal quartertone, tridecimal comma or Hunt minor submediant comma, is a 13-limit interval of about 48.3 cents. It is the interval between the Pythagorean major third of 81/64 and the tridecimal neutral third of 16/13. It can be considered a type of quartertone. It is 4096/4095 smaller than 36/35, and 352/351 smaller than 33/32.
1053/1024 is significant in Functional Just System as the tridecimal formal comma which translates a Pythagorean interval to a nearby tridecimal interval, analogous to 64/63 and 33/32 for septimal and undecimal, respectively. However, in Helmholtz-Ellis notation, that role is taken by 27/26.