64/43

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Interval information
Ratio 64/43
Subgroup monzo 2.43 [6 -1
Size in cents 688.4823¢
Name quadracesimotertial subharmonic fifth
Color name fothu 5th, 43u5
FJS name [math]\displaystyle{ \text{P5}_{43} }[/math]
Special properties reduced,
reduced subharmonic
Tenney height (log2 nd) 11.4263
Weil height (log2 max(n, d)) 12
Wilson height (sopfr(nd)) 55
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 could be useful those who are looking for a dual-fifth JI-based or regular temperament system but do not want 2 mappings of 3/2s–the flat fifth as 64/43 could be 64/43 with the sharp fifth kept as 3/2.

See also