243/176
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Ratio
243/176
Factorization
2-4 × 35 × 11-1
Monzo
[-4 5 0 0 -1⟩
Size in cents
558.4571¢
Name
Alpharabian infra-augmented fourth
Color name
L1u4, lalu 4th
FJS name
[math]\text{A4}_{11}[/math]
Special properties
reduced
Tenney height (log2 nd)
15.3842
Weil height (log2 max(n, d))
15.8496
Wilson height (sopfr(nd))
34
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.24449 bits
open this interval in xen-calc
| Interval information |
(Shannon, [math]\sqrt{nd}[/math])
243/176, the Alpharabian infra-augmented fourth is an 11-limit interval that differs from 11/8 by 243/242. The term "infra-augmented" in the name of this interval comes from the fact that this interval is created by subtracting the 33/32 quartertone from 729/512, the Pythagorean augmented fourth.