97/64: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Name = nonacesimoseptimal perfect fifth
| Name = nonacesimoseptimal harmonic fifth, 5edo-esque harmonic fifth
| Color name = 97o5
| Color name = 97o5
}}
}}


'''97/64''', the '''nonacesimoseptimal perfect fifth''' is a wide perfect fifth near that of [[5edo]], and is the first octave-reduced harmonic after [[3/2]] that is (just barely) a diatonic fifth. The diatonic scale it generates is incredibly close to collapsed, with the "minor second" being less than a cent wide.
'''97/64''', the '''nonacesimoseptimal harmonic fifth''' or '''5edo-esque harmonic fifth''' is a wide fifth very close to that of [[5edo]], and is the first octave-reduced harmonic after [[3/2]] that is (just barely) a diatonic fifth. The diatonic scale it generates is incredibly close to collapsed, with the "minor second" being less than a cent wide.
 
== See also ==
* [[128/97]] – its [[octave complement]]
* [[Gallery of just intervals]]


[[Category:Fifth]]
[[Category:Fifth]]
[[Category:Perfect fifth]]

Latest revision as of 02:23, 25 October 2024

Interval information
Ratio 97/64
Subgroup monzo 2.97 [-6 1
Size in cents 719.8954¢
Names nonacesimoseptimal harmonic fifth,
5edo-esque harmonic fifth
Color name 97o5
FJS name [math]\displaystyle{ \text{P5}^{97} }[/math]
Special properties reduced,
reduced harmonic
Tenney height (log2 nd) 12.5999
Weil height (log2 max(n, d)) 13.1998
Wilson height (sopfr(nd)) 109
Open this interval in xen-calc

97/64, the nonacesimoseptimal harmonic fifth or 5edo-esque harmonic fifth is a wide fifth very close to that of 5edo, and is the first octave-reduced harmonic after 3/2 that is (just barely) a diatonic fifth. The diatonic scale it generates is incredibly close to collapsed, with the "minor second" being less than a cent wide.

See also