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Interval information
Ratio 2520/2519
Subgroup monzo [3 2 1 1 -1 -1
Size in cents 0.68713398¢
Name platonisma
Color name 229u1uzy1
FJS name [math]\text{A1}^{5,7}_{11,229}[/math]
Special properties superparticular,
Tenney height (log2 nd) 22.5978
Weil height (log2 max(n, d)) 22.5984
Wilson height (sopfr (nd)) 264
Harmonic entropy
(Shannon, [math]\sqrt{n\cdot d}[/math])
~2.40096 bits
Comma size unnoticeable
open this interval in xen-calc

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.