Sensipent comma

Interval information

Ratio	78732/78125
Factorization	22 × 39 × 5-7
Monzo	[2 9 -7⟩
Size in cents	13.39901¢
Name	sensipent comma
Color name	g72, Sepgu comma
FJS name	[math]\text{dd2}_{5,5,5,5,5,5,5}[/math]
Special properties	reduced
Tenney height (log2 nd)	32.5182
Weil height (log2 max(n, d))	32.5293
Wilson height (sopfr(nd))	66
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math])	~2.67628 bits
Comma size	small
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78732/78125 = [2 9 -7⟩, the sensipent comma or medium semicomma, is an interval of 13.399 cents which is the amount by which the difference between seven minor thirds and two fourths exceeds an octave, in other words (6/5)⁷ / (4/3)² / 2. Equivalently, it is also equal to (6/5)⁵ / (10/9)² / 2. (Tempering it out leads to sensipent temperament.)