125/72: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Icon =
| Ratio = 125/72
| Ratio = 125/72
| Monzo = -3 -2 3
| Monzo = -3 -2 3
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| Sound = jid_125_72_pluck_adu_dr220.mp3
| Sound = jid_125_72_pluck_adu_dr220.mp3
}}
}}
'''125/72''', the '''classic augmented sixth''' is [[5-limit]] just interval of about 955 [[cent]].
'''125/72''', the '''classic augmented sixth''' is [[5-limit]] just interval of about 955 [[cent]]. It can be obtained by adding [[5/3]], the classic major sixth, by [[25/24]], the classic chroma. In any [[kleismic]] system, it is tuned to an exact semitwelfth, tempered together with [[216/125]].


This interval is especially close to the 39th step of [[49edo|49edo.]]
== Approximation ==
This interval is especially close to the 39th step of [[49edo]].


== See also ==
== See also ==
* [[144/125]] – its [[octave complement]]
* [[144/125]] – its [[octave complement]]
* [[Gallery of just intervals]]
* [[Gallery of just intervals]]
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[[Category:Augmented sixth]]
[[Category:Augmented sixth]]
[[Category:Interseptimal]]
[[Category:Interseptimal]]
[[Category:Listen]]
[[Category:Semitwelfth]]
[[Category:Pages with internal sound examples]]
[[Category:Pages with internal sound examples]]
[[Category:Todo:expand]]

Revision as of 22:31, 7 November 2021

Interval information
Ratio 125/72
Factorization 2-3 × 3-2 × 53
Monzo [-3 -2 3
Size in cents 955.0311¢
Name classic augmented sixth
FJS name [math]\displaystyle{ \text{A6}^{125} }[/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 cent. It can be obtained by adding 5/3, the classic major sixth, by 25/24, the classic chroma. 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