64/43

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Interval information
Ratio 64/43
Subgroup monzo 2.43 [6 -1
Size in cents 688.48229¢
Name quadracesimotertial subharmonic fifth
Color name fothu 5th, 43u5
FJS name [math]\text{P5}_{43}[/math]
Special properties reduced
Tenney height (log2 nd) 11.4263
Weil height (log2 max(n, d)) 12
Wilson height (sopfr (nd)) 55
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~3.92318 bits
open this interval in xen-calc

64/43, the quadracesimotertial subharmonic fifth is a narrow fifth close to those of 7edo and 26edo, and, is the first octave-reduced subharmonic that is a diatonic fifth. This interval is useful for describing dual-fifth regular temperament systems without invoking 2 mappings of 3/2, by mapping the flat fifth to 64/43 and sharp fifth to 3/2.

See also