64/43
Jump to navigation
Jump to search
Ratio
64/43
Subgroup monzo
2.43 [6 -1⟩
Size in cents
688.4823¢
Name
prime subharmonic fifth
Color name
fothu 5th, 43u5
FJS name
[math]\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
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~3.92318 bits
open this interval in xen-calc
| Interval information |
reduced subharmonic
(Shannon, [math]\sqrt{nd}[/math])
64/43, the prime 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 temperaments where the sharp fifth is significantly closer to 3/2 than the flat fifth, by mapping the flat fifth to 64/43 and sharp fifth to 3/2.