27/13
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Ratio
27/13
Factorization
33 × 13-1
Monzo
[0 3 0 0 0 -1⟩
Size in cents
1265.337¢
Name
Luxembourg eighth
Color name
3u8, thu 8ve
FJS name
[math]\text{A8}_{13}[/math]
Tenney height (log2 nd)
8.45533
Weil height (log2 max(n, d))
9.50978
Wilson height (sopfr(nd))
22
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.3008 bits
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(Shannon, [math]\sqrt{nd}[/math])
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The Luxembourg eighth, 27/13, slightly larger than an octave, is notable for being well approximated by 10 steps of 15ed3 (1267.97 cents).
It is named after asteroid 2713, Luxembourg.
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