49/40
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Ratio
49/40
Factorization
2-3 × 5-1 × 72
Monzo
[-3 0 -1 2⟩
Size in cents
351.3381¢
Name
larger septimal neutral third
Color name
zzg4, zozogu 4th
FJS name
[math]\text{d4}^{7,7}_{5}[/math]
Special properties
reduced
Tenney height (log2 nd)
10.9366
Weil height (log2 max(n, d))
11.2294
Wilson height (sopfr(nd))
25
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.26204 bits
[sound info]
open this interval in xen-calc
| Interval information |
(Shannon, [math]\sqrt{nd}[/math])
[sound info]
49/40, the larger septimal neutral third, is only 2401/2400 (0.72 ¢) sharp of 60/49, the smaller septimal neutral third. In breed tempering, these are equated, dividing the fifth exactly in half. It is also 441/440 (3.9 ¢) sharp of 11/9, and this is one of the ways 11-limit harmony is introduced into 7-limit scales. In particular, it is the interval between 8/7 and 7/5.