47/32
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Ratio
47/32
Subgroup monzo
2.47 [-5 1⟩
Size in cents
665.50662¢
Names
quadracesimoseptimal subfifth,
prime harmonic subfifth
Color name
47o5, foso fifth
FJS name
[math]\text{P5}^{47}[/math]
Special properties
reduced,
reduced harmonic
Tenney height (log2 nd)
10.5546
Weil height (log2 max(n, d))
11.1092
Wilson height (sopfr(nd))
57
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.31119 bits
[sound info]
open this interval in xen-calc
Interval information |
prime harmonic subfifth
reduced harmonic
(Shannon, [math]\sqrt{nd}[/math])
[sound info]
47/32 is the quadracesimoseptimal subfifth or harmonic subfifth. It is the octave-reduced 47th harmonic and is close to 5\9 (666.66667 ¢). This is the smallest octave-reduced harmonic after 3/2 that is recognizable as a "fifth" interval–the closest before this point is 23/16, a large tritone.