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 | 0.68713398¢ |
Name | platonisma |
Color name | 229u1uzy1 |
FJS name | [math]\text{A1}^{5,7}_{11,229}[/math] |
Special properties | superparticular, reduced |
Tenney height (log_{2} nd) | 22.5978 |
Weil height (log_{2} 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.
References
- Wikipedia Contributors. 5040 (number)