48/47

Interval information

Ratio	48/47
Subgroup monzo	2.3.47 [4 1 -1⟩
Size in cents	36.44838¢
Name(s)	missing ?
FJS name	[math]\displaystyle{ \text{P1}_{47} }[/math]
Special properties	superparticular, reduced
Tenney height (log2 nd)	11.1396
Weil height (log2 max(n, d))	11.1699
Wilson height (sopfr(nd))	58
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.5139 bits
Comma size	medium
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48/47 is a 47-limit (specifically 2.3.47-subgroup) comma. It is the amount by which the octave-reduced 47th harmonic 47/32 falls short of the perfect fifth (3/2). It is significant in the Functional Just System as the formal comma to translate a Pythagorean interval to a nearby quadracesimoseptimal (47-limit) interval.