2520/2519
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Ratio
2520/2519
Subgroup monzo
2.3.5.7.11.229 [3 2 1 1 -1 -1⟩
Size in cents
0.687134¢
Name
platonisma
Color name
229u1uzy1
FJS name
[math]\text{A1}^{5,7}_{11,229}[/math]
Special properties
superparticular,
reduced
Tenney height (log2 nd)
22.5978
Weil height (log2 max(n, d))
22.5984
Wilson height (sopfr(nd))
264
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~1.20423 bits
Comma size
unnoticeable
open this interval in xen-calc
| Interval information |
reduced
(Shannon, [math]\sqrt{nd}[/math])
2520/2519, the platonisma, is a 229-limit superparticular ratio measuring 687 millicents.
2520/2519 frequently arose in Plato's thinking that 5040 is the ideal number of citizens in a city, owing to what would later be known as a highly composite number.
Plato's thinking was that 5040 is divisible by numbers of 1 through 12, except for 11, and two citizens could be temporarily subtracted or rearranged from the city in matters concerning the number 11, since 5038 is divisible by 11. 5040/5038 reduces to 2520/2519.
References
- Wikipedia Contributors. 5040 (number)