392/375: Difference between revisions

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<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]] 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]].
background-color: #fafafa;
 
min-width: 15em;
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]]).
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]].

Latest revision as of 07:29, 10 March 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 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.

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