243/224
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Ratio
243/224
Factorization
2-5 × 35 × 7-1
Monzo
[-5 5 0 -1⟩
Size in cents
140.9491¢
Name
septimal subtone
Color name
Lr1, laru unison
FJS name
[math]\text{A1}_{7}[/math]
Special properties
reduced
Tenney height (log2 nd)
15.7322
Weil height (log2 max(n, d))
15.8496
Wilson height (sopfr(nd))
32
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.25104 bits
Comma size
large
[sound info]
open this interval in xen-calc
| Interval information |
(Shannon, [math]\sqrt{nd}[/math])
[sound info]
243/224, the septimal subtone, is 64/63 sharp of 2187/2048. In the 13-limit, it is 729/728 (2.4 ¢) sharp of 13/12. 2\17 is a good approximation to it. It is also a large comma equating five fifths (3/2) with the 7th harmonic.