512/297
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Ratio
512/297
Factorization
29 × 3-3 × 11-1
Monzo
[9 -3 0 0 -1⟩
Size in cents
942.8171¢
Name
Alpharabian inframinor seventh
Color name
s1u7, salu 7th
FJS name
[math]\text{m7}_{11}[/math]
Special properties
reduced,
reduced subharmonic
Tenney height (log2 nd)
17.2143
Weil height (log2 max(n, d))
18
Wilson height (sopfr(nd))
38
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.2432 bits
open this interval in xen-calc
Interval information |
reduced subharmonic
(Shannon, [math]\sqrt{nd}[/math])
512/297, the Alpharabian inframinor seventh, is the basic inframinor seventh in the 2.3.11 subgroup. It differs from the 19/11 undevicesimal semitwelfth by 513/512, and differs from 12/7 by 896/891. As suggested by its name, it is reached by subtracting a 33/32 quartertone from 16/9.