5041/5040
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Ratio
5041/5040
Subgroup monzo
2.3.5.7.71 [-4 -2 -1 -1 2⟩
Size in cents
0.3434647¢
Names
third brown pair comma,
19th highly compositema
Color name
71oorg1
FJS name
[math]\text{P1}^{71,71}_{5,7}[/math]
Special properties
square superparticular,
reduced
Tenney height (log2 nd)
24.5987
Weil height (log2 max(n, d))
24.599
Wilson height (sopfr(nd))
168
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~1.2002 bits
Comma size
unnoticeable
S-expression
S71
open this interval in xen-calc
| Interval information |
19th highly compositema
reduced
(Shannon, [math]\sqrt{nd}[/math])
5041/5040, the third brown pair comma, or the 19th highly compositema is a 71-limit superparticular interval measuring about 343 millicents.
Theory
5041/5040 represents the difference between 72/71 and 71/70. It is also the answer to the Brocard's problem question of n! + 1 = m^2, to which there's only three known so far - 25/24, 121/120, and this.
References
- Wikipedia Contributors, Brocard's problem.