51/40
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Ratio
51/40
Factorization
2-3 × 3 × 5-1 × 17
Monzo
[-3 1 -1 0 0 0 1⟩
Size in cents
420.5967¢
Name
diatismic major third
Color name
17og4, sogu 4th
FJS name
[math]\text{d4}^{17}_{5}[/math]
Special properties
reduced
Tenney height (log2 nd)
10.9944
Weil height (log2 max(n, d))
11.3449
Wilson height (sopfr(nd))
31
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.24178 bits
[sound info]
Open this interval in xen-calc
| Interval information |
(Shannon, [math]\sqrt{nd}[/math])
[sound info]
In 17-limit just intonation, 51/40 is the diatismic major third. It exceeds the Pythagorean major third (81/64) by a diatisma (136/135), hence the name.
It is approximated by: