77/64: Difference between revisions

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'''77/64'''
{{Infobox Interval
|-6 0 0 1 1>
| Name = keenanismic minor third, octave-reduced 77th harmonic
| Color name = 1oz3, lozo 3rd
| Sound = jid_77_64_pluck_adu_dr220.mp3
}}
'''77/64''', the '''keenanismic minor third''' or '''octave-reduced 77th [[harmonic]]''', arises in [[11-limit]] JI scales as the interval between [[8/7]] and [[11/8]], and between [[16/11]] and [[7/4]]. It is [[385/384]] (4.5{{cent}}) sharper than [[6/5]]. It is almost exactly 1/7th of a cent sharper than the 320{{cent}} minor third of [[15edo]].


320.1438 cents
== See also ==
* [[128/77]] – its [[octave complement]]
* [[96/77]] – its [[fifth complement]]
* [[Gallery of just intervals]]
* [[:File:Ji-77-64-csound-foscil-220hz.mp3]] – another sound example


[[File:jid_77_64_pluck_adu_dr220.mp3]] [[:File:jid_77_64_pluck_adu_dr220.mp3|sound sample]]
[[Category:Third]]
 
[[Category:Minor third]]
'''77/64''', the keenanismic minor third, arises in 11-limit JI scales as the interval between 8/7 and 11/8, and between 15/11 and 7/4. It is 385/384 (4.5 cents) sharper than [[6/5|6/5]]. It is almost exactly 1/7th of a cent sharper than the 320 cent minor third of [[15edo|15edo]].

Latest revision as of 16:55, 25 October 2022

Interval information
Ratio 77/64
Factorization 2-6 × 7 × 11
Monzo [-6 0 0 1 1⟩
Size in cents 320.1438¢
Names keenanismic minor third,
octave-reduced 77th harmonic
Color name 1oz3, lozo 3rd
FJS name [math]\displaystyle{ \text{m3}^{7,11} }[/math]
Special properties reduced,
reduced harmonic
Tenney norm (log2 nd) 12.2668
Weil norm (log2 max(n, d)) 12.5336
Wilson norm (sopfr(nd)) 30

[sound info]
Open this interval in xen-calc

77/64, the keenanismic minor third or octave-reduced 77th harmonic, arises in 11-limit JI scales as the interval between 8/7 and 11/8, and between 16/11 and 7/4. It is 385/384 (4.5 ¢) sharper than 6/5. It is almost exactly 1/7th of a cent sharper than the 320 ¢ minor third of 15edo.

See also

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