64/55: Difference between revisions

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Added information about a half-decent triad formed this particular interval.
Xenwolf (talk | contribs)
m linked file instead of embedding
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* [[55/32]] -- its octave complement
* [[55/32]] -- its octave complement
* [[Gallery of just intervals]]
* [[Gallery of just intervals]]
* [[File:Ji-64-55-csound-foscil-220hz.mp3]] [[:File:Ji-64-55-csound-foscil-220hz.mp3|info...]]
* [[:File:Ji-64-55-csound-foscil-220hz.mp3]] - another sound example


[[Category:11-limit]]
[[Category:11-limit]]

Revision as of 20:44, 16 September 2020

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
FJS name [math]\displaystyle{ \text{m3}_{55} }[/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