97/64: Difference between revisions

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add a shorter name as I remember some complaints on the long latinate names
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{{Infobox Interval
{{Infobox Interval
| Name = nonacesimoseptimal harmonic fifth
| Name = nonacesimoseptimal harmonic fifth, harmonic 5edo-esque fifth
| Color name = 97o5
| Color name = 97o5
}}
}}


'''97/64''', the '''nonacesimoseptimal 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.
'''97/64''', the '''nonacesimoseptimal harmonic fifth''' or '''harmonic 5edo-esque 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 ==
== See also ==

Revision as of 02:21, 25 October 2024

Interval information
Ratio 97/64
Subgroup monzo 2.97 [-6 1
Size in cents 719.8954¢
Names nonacesimoseptimal harmonic fifth,
harmonic 5edo-esque 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 harmonic 5edo-esque 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