| 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]\displaystyle{ \text{d4}^{17}_{5} }[/math]
|
| Special properties
|
reduced
|
| Tenney norm (log2 nd)
|
10.9944
|
| Weil norm (log2 max(n, d))
|
11.3449
|
| Wilson norm (sopfr(nd))
|
31
|
[[File:Ji-{{#regex:51/40|/(\S+)\/(\S+)/|\1-\2}}-csound-foscil-220hz.mp3|270px]]
[[:File:Ji-{{#regex:51/40|/(\S+)\/(\S+)/|\1-\2}}-csound-foscil-220hz.mp3|[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:
See also