2520/2519

This page presents a topic of primarily mathematical interest. While it is derived from sound mathematical principles, its applications in terms of utility for actual music may be limited, highly contrived, or as yet unknown.

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
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)