392/375: Difference between revisions

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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 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]].  
'''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)]].  


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]]).  
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]]).  


== Temperaments ==
== Temperaments ==

Latest revision as of 13:34, 31 August 2026

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

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).

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.