261/256
Jump to navigation
Jump to search
| Ratio | 261/256 |
| Subgroup monzo | 2.3.29 [-8 2 1⟩ |
| Size in cents | 33.487196¢ |
| Names | vicesimononal comma, 29-limit ~sixth tone (HEJI) |
| Color name | 29o1, tweno unison |
| FJS name | [math]\text{P1}^{29}[/math] |
| Special properties | reduced |
| Tenney height (log2 nd) | 16.0279 |
| Weil height (log2 max(n, d)) | 16.0558 |
| Wilson height (sopfr (nd)) | 51 |
| Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~4.55766 bits |
| Comma size | medium |
| open this interval in xen-calc | |
261/256, the vicesimononal comma, or the 29-limit ~sixth tone as is known in Helmholtz-Ellis notation, is a medium 2.3.29 subgroup comma. It is the amount by which 29/16 (the octave-reduced 29th harmonic) exceeds the Pythagorean minor seventh (16/9). It is significant in Helmholtz-Ellis notation and Functional Just System as the formal comma to translate a Pythagorean interval to a nearby undetricesimal interval.