51/40

Interval information

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:

7\20 (420 cents)
1\3 (4\12) (400 cents)
6\17 (12\34) (423.529 cents)

51/40

See also