5041/5040
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Ratio | 5041/5040 |
Subgroup monzo | 2.3.5.7.71 [-4 -2 -1 -1 2⟩ |
Size in cents | 0.34346475¢ |
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 (log_{2} nd) | 24.5987 |
Weil height (log_{2} 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 |
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.