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 (log_{2} nd) | 10.9944 |
Weil height (log_{2} 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 |
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: