392/375

Interval information

Ratio	392/375
Factorization	23 × 3-1 × 5-3 × 72
Monzo	[3 -1 -3 2⟩
Size in cents	76.75567¢
Name	prograde comma
Color name	zzg33, Zozotrigu comma, zozotrigu 3rd
FJS name	[math]\displaystyle{ \text{dd3}^{7,7}_{5,5,5} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	17.1655
Weil norm (log2 max(n, d))	17.2294
Wilson norm (sopfr(nd))	38
Comma size	medium
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392/375, the prograde comma, is a medium 7-limit comma measuring about 76.75 cents. It represents the amount by which two 7/5 narrow tritones exceed a 15/8 major seventh, and the amount by which three 15/14 semitones fall short of a septimal major third 9/7.

In terms of other commas, it is the difference between 21/20 and 225/224. It factors into (49/48)⋅(128/125) and (28/27)⋅(126/125).

Temperaments

This comma is tempered out in progress, progression and mohamaq.

Etymology

This comma was named by OffsuitKnave in 2022, likely as a variation of progress or progression.