2520/2519

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Interval information

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]\displaystyle{ \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]\displaystyle{ \sqrt{nd} }[/math])	~1.20423 bits
Comma size	unnoticeable
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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)