6561/5120
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Ratio
6561/5120
Factorization
2-10 × 38 × 5-1
Monzo
[-10 8 -1⟩
Size in cents
429.3263¢
Name
retroptolemaic major third
Color name
lagu 3rd, ly3
FJS name
[math]\text{M3}_{5}[/math]
Special properties
reduced
Tenney height (log2 nd)
25.0016
Weil height (log2 max(n, d))
25.3594
Wilson height (sopfr(nd))
49
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.20706 bits
open this interval in xen-calc
| Interval information |
(Shannon, [math]\sqrt{nd}[/math])
6561/5120, the retroptolemaic major third, is a 5-limit interval measuring about 429.32 ¢. It is equal to the Pythagorean major third of 81/64 raised by a syntonic comma (81/80), compared to the just major third 5/4 which is the Pythagorean interval lowered by the syntonic comma. It differs from 41/32, the 41st harmonic, by the unnoticeable comma 6561/6560.