43/32

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Interval information
Ratio 43/32
Subgroup monzo 2.43 [-5 1
Size in cents 511.5177¢
Name prime harmonic fourth
Color name 43o4, fotho fourth
FJS name [math]\displaystyle{ \text{P4}^{43} }[/math]
Special properties reduced,
reduced harmonic
Tenney height (log2 nd) 10.4263
Weil height (log2 max(n, d)) 10.8525
Wilson height (sopfr(nd)) 53

[sound info]
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43/32, the prime harmonic fourth, is octave-reduced 43rd harmonic. It is a wide fourth close to those of 7edo and 26edo, and, is the first octave-reduced harmonic that is a diatonic fourth. The "prime" in the name can be taken both as referring to the fact that it is a prime harmonic or to the fact that it is the simplest /2n interval that generates 5L 2s, the diatonic MOS.

See also