Sensipent comma

The sensipent comma (ratio: 78732/78125, monzo: [2 9 -7⟩), also known as the medium semicomma, is small 5-limit comma of about 13.4 cents. It is the amount by which a stack of seven classical minor thirds exceeds two perfect fourths and 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). It is also the difference between 5/4 and a stack of three 27/25 large limmas.

Interval information

Ratio	78732/78125
Factorization	22 × 39 × 5-7
Monzo	[2 9 -7⟩
Size in cents	13.39901 ¢
Names	sensipent comma, medium semicomma
Color name	g72, Sepgu comma
FJS name	[math]\displaystyle{ \text{dd2}_{5,5,5,5,5,5,5} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	32.5182
Weil norm (log2 max(n, d))	32.5293
Wilson norm (sopfr(nd))	66
Comma size	small
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Temperaments

Tempering out this comma in the 5-limit leads to the sensipent temperament.

See Sensipent family for the family of temperaments where it is tempered out.

See also

• Syntonic–kleismic equivalence continuum