192/125: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Icon =
| Name = classic(al) diminished sixth, triptolemaic diminished sixth
| Ratio = 192/125
| Color name = g<sup>3</sup>6, trigu 6th
| Monzo = 6 1 -3
| Cents = 743.01386
| Name = classic diminished sixth
| Color name =  
| FJS name = d6<sub>125</sub>
| Sound =
}}
}}


'''192/125''', the '''classic diminished sixth''', is a [[5-limit]] just interval of about 743 [[cent]].
'''192/125''', the '''classic(al) diminished sixth''' or '''triptolemaic diminished sixth''', is a [[5-limit]] [[interval]] of about 743{{cent}}. It is the [[8/5|classical minor sixth (8/5)]] flattened by the [[25/24|classical chroma (25/24)]], so it keeps the term ''classical''. It is also the [[262144/177147|Pythagorean diminished sixth (262144/177147)]] sharpened by three [[81/80|syntonic commas]], which lends itself to the term ''triptolemaic''.  


== See also ==
== See also ==
* [[125/96]] – its [[octave complement]]
* [[125/96]] – its [[octave complement]]
* [[Gallery of just intervals]]
* [[Gallery of just intervals]]


[[Category:5-limit]]
[[Category:Interval ratio]]
[[Category:Sixth]]
[[Category:Sixth]]
[[Category:Diminished sixth]]
[[Category:Diminished sixth]]
[[Category:Interseptimal]]
[[Category:Interseptimal intervals]]
 
[[Category:Todo:expand]]
[[Category:Todo:add color name]]

Latest revision as of 06:37, 13 July 2023

Interval information
Ratio 192/125
Factorization 26 × 3 × 5-3
Monzo [6 1 -3
Size in cents 743.0139¢
Names classic(al) diminished sixth,
triptolemaic diminished sixth
Color name g36, trigu 6th
FJS name [math]\displaystyle{ \text{d6}_{5,5,5} }[/math]
Special properties reduced
Tenney norm (log2 nd) 14.5507
Weil norm (log2 max(n, d)) 15.1699
Wilson norm (sopfr(nd)) 30
Open this interval in xen-calc

192/125, the classic(al) diminished sixth or triptolemaic diminished sixth, is a 5-limit interval of about 743 ¢. It is the classical minor sixth (8/5) flattened by the classical chroma (25/24), so it keeps the term classical. It is also the Pythagorean diminished sixth (262144/177147) sharpened by three syntonic commas, which lends itself to the term triptolemaic.

See also