64/55: Difference between revisions

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'''64/55'''
{{Infobox Interval
|6 0 -1 0 -1>
| Name = keenanismic subminor third
| Color name = 1ug3, lugu 3rd
| Sound = jid_64_55_pluck_adu_dr220.mp3
}}


262.3683 cents
'''64/55''', the '''keenanismic subminor third''', is [[385/384]] (4.5 cents) flatter than [[7/6]]. It arises in 11-limit scales as the interval between [[5/4]] and [[16/11]], and between [[11/8]] and [[8/5]].  On account of its close resemblance to 7/6, it can be stacked on top of a [[5/4]] major third as a means of creating one of the least dissonant among triads with a [[16/11]] subfifth as the outside interval.


[[File:jid_64_55_pluck_adu_dr220.mp3]] [[:File:jid_64_55_pluck_adu_dr220.mp3|sound sample]]
== See also ==


'''64/55''', the keenanismic subminor third, is 385/384 (4.5 cents) flatter than 7/6. It arises in 11-limit scales as the interval between 5/4 and 16/11, and between 11/8 and 8/5.
* [[55/32]] – its [[octave complement]]
* [[165/128]] – its [[fifth complement]]
* [[Gallery of just intervals]]
* [[:File:Ji-64-55-csound-foscil-220hz.mp3]] - another sound example
 
[[Category:Third]]
[[Category:Subminor third]]
{{todo|improve synopsis}}

Latest revision as of 07:41, 3 January 2025

Interval information
Ratio 64/55
Factorization 26 × 5-1 × 11-1
Monzo [6 0 -1 0 -1⟩
Size in cents 262.3683¢
Name keenanismic subminor third
Color name 1ug3, lugu 3rd
FJS name [math]\displaystyle{ \text{m3}_{5,11} }[/math]
Special properties reduced,
reduced subharmonic
Tenney height (log2 nd) 11.7814
Weil height (log2 max(n, d)) 12
Wilson height (sopfr(nd)) 28

[sound info]
Open this interval in xen-calc

64/55, the keenanismic subminor third, is 385/384 (4.5 cents) flatter than 7/6. It arises in 11-limit scales as the interval between 5/4 and 16/11, and between 11/8 and 8/5. On account of its close resemblance to 7/6, it can be stacked on top of a 5/4 major third as a means of creating one of the least dissonant among triads with a 16/11 subfifth as the outside interval.

See also

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