126/125
Ratio | 126/125 |
Factorization | 2 × 3^{2} × 5^{-3} × 7 |
Monzo | [1 2 -3 1⟩ |
Size in cents | 13.794767¢ |
Names | starling comma, septimal semicomma |
Color name | zg^{3}2, zotrigu 2nd, Zotrigu comma |
FJS name | [math]\text{d2}^{7}_{5,5,5}[/math] |
Special properties | superparticular, reduced |
Tenney height (log_{2} nd) | 13.9431 |
Weil height (log_{2} 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.