47/32

Interval information

Ratio	47/32
Subgroup monzo	2.47 [-5 1⟩
Size in cents	665.5066¢
Names	quadracesimoseptimal subfifth, prime harmonic subfifth
Color name	47o5, foso fifth
FJS name	[math]\displaystyle{ \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]\displaystyle{ \sqrt{nd} }[/math])	~4.31119 bits
[sound info]
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47/32 is the quadracesimoseptimal subfifth or harmonic subfifth. It is the octave-reduced 47th harmonic and is close to 5\9 (666.667 ¢). It is flat of the perfect fifth (3/2) by 48/47, and sharp of the Pythagorean augmented fourth (729/512) by 752/729. This is the smallest octave-reduced harmonic after 3/2 that is recognizable as a "fifth" interval – specifically an antidiatonic fifth. The closest before this point is 23/16, a large tritone.