48/47
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Ratio
48/47
Subgroup monzo
2.3.47 [4 1 -1⟩
Size in cents
36.448379¢
Name(s)
missing ?
FJS name
[math]\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]\sqrt{nd}[/math])
~4.5139 bits
Comma size
medium
open this interval in xen-calc
| Interval information |
reduced
(Shannon, [math]\sqrt{nd}[/math])
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.