64/43
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Ratio | 64/43 |
Subgroup monzo | 2.43 [6 -1⟩ |
Size in cents | 688.48229¢ |
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 |
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.