126/125

Interval information

Ratio	126/125
Factorization	2 × 32 × 5-3 × 7
Monzo	[1 2 -3 1⟩
Size in cents	13.79477¢
Names	Starling comma, septimal semicomma
Color name	zg32, zotrigu comma
FJS name	[math]\displaystyle{ \text{d2}^{7}_{125} }[/math]
Special properties	superparticular, reduced
Tenney height (log2 nd)	13.9431
Weil height (log2 max(n, d))	13.9546
Wilson height (sopfr(nd))	30
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The starling comma or septimal semicomma, 126/125 (about 13.8 cents), is the only superparticular 7-limit comma which is not the difference between two 7-limit superparticular ratios. Instead, 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) exceed the 7/5 tritone, and the amount by which three 5/3s (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.

Tempering it out leads to starling temperament, and three minor thirds plus a 7/6 subminor third, when 126/125 is tempered out, gives the starling tetrad or septimal semicomma diminished seventh chord.

See also

• Starling family
• Starling temperaments
• Starling chords
• Small comma
• Gallery of just intervals
• List of superparticular intervals
• Wikipedia: Septimal semicomma