126/125
| Ratio | 126/125 |
| Factorization | 2 × 32 × 5-3 × 7 |
| Monzo | [1 2 -3 1⟩ |
| Size in cents | 13.794767¢ |
| Names | starling comma, septimal semicomma |
| Color name | zg32, zotrigu 2nd, Zotrigu comma |
| FJS name | [math]\text{d2}^{7}_{5,5,5}[/math] |
| Special properties | superparticular, reduced |
| Tenney height (log2 nd) | 13.9431 |
| Weil height (log2 max(n, d)) | 13.9546 |
| Wilson height (sopfr (nd)) | 30 |
| Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~2.74804 bits |
| Comma size | small |
| open this interval in xen-calc | |
The starling comma or septimal semicomma, 126/125 (about 13.8 cents), is the superparticular 7-limit comma which is the difference between 36/35 (septimal quartertone) and 50/49 (jubilisma). In terms of just intervals, it is the amount by which 12/7 falls short of three 6/5 minor thirds. It is also the amount by which two 5/3 major sixths (octave-reduced, 25/18) fall short of the 7/5 tritone, and the amount by which three 5/3's (octave-reduced) fall short of the 7/6 septimal minor third. It can also be found when comparing the conventional 5-limit minor third and major tenth to the nearest Bohlen–Pierce intervals.
Temperaments
Tempering it out alone in the 7-limit leads to the starling temperament, and enables starling chords. See Starling family for the rank-3 temperament family where it is tempered out. See starling temperaments for a collection of rank-2 temperaments where it is tempered out.