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

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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).

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.

@@ Line 1: / Line 1: @@
-<div style="
+{{Infobox Interval
-border: 1px solid #999;
+| Name = prograde comma
-margin: 0;
+| Color name = zzg<sup>3</sup>3, Zozotrigu comma,<br> zozotrigu 3rd
-margin-left: 1em;
+| Comma = yes
-margin-bottom: 0.5em;
+}}
-padding: 0.25em 0.5em;
+'''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)]].
-background-color: #fafafa;
-min-width: 15em;
+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]]).
-float: right;
-">
+== Temperaments ==
-{| width="100%" style="border-collapse: collapse;"
+This comma is tempered out in [[progress]], [[progression]] and [[mohamaq]].
-|+<u>Interval information</u>
-| style="text-align:right; padding-right: 0.25em" |Ratio
+== Etymology ==
-| style="background-color: white; padding-left: 0.25em" |'''392/375'''
+This comma was named by [[User:OffsuitKnave|OffsuitKnave]] in 2022, likely as a variation of ''progress'' or ''progression''.
-|-
-| style="text-align:right; padding-right: 0.25em" |[[Monzo]]
+[[Category:Prograde]]
-| style="background-color: white; padding-left: 0.25em" |'''<span class="monzo"><span class="left-delim">&#x5B;</span>3 -1 -3 2<span class="right-delim">&#x27E9;</span></span>'''
+[[Category:Commas named for their regular temperament properties]]
-|-
-| style="text-align:right; padding-right: 0.25em" |Size in [[Cent|cents]]
-| style="background-color: white; padding-left: 0.25em" |'''76.75567'''
-|-
-| style="text-align:right; padding-right: 0.25em" |Name(s)
-| style="background-color: white; padding-left: 0.25em" |'''prograde comma'''
-|-
-| style="text-align:right; padding-right: 0.25em" |[[Color notation|Color name]]
-| style="background-color: white; padding-left: 0.25em" |'''zzg^{3}3, zozotrigu 3rd'''
-|-
-| colspan="2" style="text-align: center;" |<small>[https://www.yacavone.net/xen-calc/?q=392/375 open this interval in ''xen-calc'']</small>
-|}
-</div>'''392/375''', the '''prograde comma''', is a 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 [[Archytas clan#Progress|progress]], [[progression]] and [[mohamaq]].

392/375: Difference between revisions

Latest revision as of 13:34, 31 August 2026

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