392/375: Difference between revisions

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
	Open this interval in xen-calc

Latest revision as of 13:34, 31 August 2026

392/375, the prograde comma, is a medium 7-limit comma measuring about 76.75 cents. It represents the amount by which two septimal narrow tritones (7/5) exceed a classic major seventh (15/8), and the amount by which three aberschismic chromatic semitones (15/14) fall short of a septimal supermajor third (9/7).

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

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

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

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-'''392/375''', the '''prograde comma''', is a [[medium comma|medium]] [[7-limit]] [[comma]] measuring about 76.75 cents. It represents the amount that two narrow tritones [[7/5]] exceed a major seventh [[15/8]], and the amount that three [[15/14]] semitones fall short of a septimal major third [[9/7]]. It is tempered out in [[progress]], [[progression]] and [[mohamaq]].
+'''392/375''', the '''prograde comma''', is a [[medium comma|medium]] [[7-limit]] [[comma]] measuring about 76.75 cents. It represents the amount by which two [[7/5|septimal narrow tritones (7/5)]] exceed a [[15/8|classic major seventh (15/8)]], and the amount by which three [[15/14|aberschismic chromatic semitones (15/14)]] fall short of a [[9/7|septimal supermajor third (9/7)]].
-== See also ==
+In terms of other commas, it is the difference between an [[21/20|aberschismic diatonic semitone (21/20)]] and a [[225/224|marvel comma (225/224)]]. It factors into ([[49/48]])⋅([[128/125]]) and ([[28/27]])⋅([[126/125]]).
-* [[Gallery of just intervals]]
-[[Category:Commas with unknown etymology]]
+== Temperaments ==
+This comma is tempered out in [[progress]], [[progression]] and [[mohamaq]].
+== Etymology ==
+This comma was named by [[User:OffsuitKnave|OffsuitKnave]] in 2022, likely as a variation of ''progress'' or ''progression''.
+[[Category:Prograde]]
+[[Category:Commas named for their regular temperament properties]]