125/72: Difference between revisions

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'''125/72'''
{{Infobox Interval
|-3 -2 3>
| Name = classic(al) augmented sixth, triptolemaic augmented sixth
| Color name = y<sup>3</sup>6, triyo 6th
| Sound = jid_125_72_pluck_adu_dr220.mp3
}}
'''125/72''', the '''classic augmented sixth''' is [[5-limit]] just interval of about 955{{cent}}. It can be obtained by widening [[5/3]], the classic major sixth, by [[25/24]], the classic chroma. It is also the Pythagorean augmented sixth (59049/32768) flattened by three [[81/80|syntonic commas]], which lends itself to the term ''triptolemaic''.


955.0311 cents
In any [[kleismic]] system, it is tuned to an exact semitwelfth, tempered together with [[216/125]].


[[File:jid_125_72_pluck_adu_dr220.mp3]] [[:File:jid_125_72_pluck_adu_dr220.mp3|sound sample]]
== Approximation ==
This interval is especially close to the 39th step of [[49edo]].  


The classic ([[5-limit|5-limit]]) augmented sixth.
== See also ==
[[Category:neutral_seventh]]
* [[144/125]] – its [[octave complement]]
[[Category:todo:expand]]
* [[Gallery of just intervals]]
 
[[Category:Sixth]]
[[Category:Augmented sixth]]
[[Category:Interseptimal intervals]]
[[Category:Semitwelfth]]

Latest revision as of 15:04, 13 January 2026

Interval information
Ratio 125/72
Factorization 2-3 × 3-2 × 53
Monzo [-3 -2 3
Size in cents 955.0311¢
Names classic(al) augmented sixth,
triptolemaic augmented sixth
Color name y36, triyo 6th
FJS name [math]\displaystyle{ \text{A6}^{5,5,5} }[/math]
Special properties reduced
Tenney norm (log2 nd) 13.1357
Weil norm (log2 max(n, d)) 13.9316
Wilson norm (sopfr(nd)) 27

[sound info]
Open this interval in xen-calc

125/72, the classic augmented sixth is 5-limit just interval of about 955 ¢. It can be obtained by widening 5/3, the classic major sixth, by 25/24, the classic chroma. It is also the Pythagorean augmented sixth (59049/32768) flattened by three syntonic commas, which lends itself to the term triptolemaic.

In any kleismic system, it is tuned to an exact semitwelfth, tempered together with 216/125.

Approximation

This interval is especially close to the 39th step of 49edo.

See also