125/72: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Name = classic augmented sixth | | 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 | | Sound = jid_125_72_pluck_adu_dr220.mp3 | ||
}} | }} | ||
'''125/72''', the '''classic augmented sixth''' is [[5-limit]] just interval of about 955 | '''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''. | ||
In any [[kleismic]] system, it is tuned to an exact semitwelfth, tempered together with [[216/125]]. | |||
== Approximation == | == Approximation == | ||
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[[Category:Sixth]] | [[Category:Sixth]] | ||
[[Category:Augmented sixth]] | [[Category:Augmented sixth]] | ||
[[Category:Interseptimal]] | [[Category:Interseptimal intervals]] | ||
[[Category:Semitwelfth]] | [[Category:Semitwelfth]] | ||
Latest revision as of 15:04, 13 January 2026
| Interval information |
triptolemaic augmented sixth
[sound info]
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.