Compass comma

Interval information

Ratio	9765625/9680832
Factorization	2-6 × 3-2 × 510 × 7-5
Monzo	[-6 -2 10 -5⟩
Size in cents	15.0976¢
Name	compass comma
Color name	r5y10-5, quinruyoyo negative 5th
FJS name	[math]\displaystyle{ \text{7d}{-5}^{5,5,5,5,5,5,5,5,5,5}_{7,7,7,7,7} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	46.426
Weil norm (log2 max(n, d))	46.4386
Wilson norm (sopfr(nd))	103
Comma size	small
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9765625/9680832, the compass comma is a small 7-limit comma. It is the difference between five 28/25s and two 4/3s. The name compass is a contraction of compton and passion.

Temperaments

Tempering out this comma alone in the 7-limit leads to the rank-3 compass temperament. Aside from compton and passion, rank-2 temperaments which tempers out this comma include cotritone, sqrtphi, ripple, quintupole and quintakwai.