80/63
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Ratio
80/63
Factorization
24 × 3-2 × 5 × 7-1
Monzo
[4 -2 1 -1⟩
Size in cents
413.5778¢
Names
hemifamity major third,
5/7-kleismic major third
Color name
ry3, ruyo 3rd
FJS name
[math]\text{M3}^{5}_{7}[/math]
Special properties
reduced
Tenney height (log2 nd)
12.2992
Weil height (log2 max(n, d))
12.6439
Wilson height (sopfr(nd))
26
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.25744 bits
open this interval in xen-calc
| Interval information |
5/7-kleismic major third
(Shannon, [math]\sqrt{nd}[/math])
80/63, the hemifamity major third or the 5/7-kleismic major third, which is 5120/5103 (5.76 cents) sharp of 81/64 and 441/440 (3.9 cents) flat of 14/11 is the interval between 9/8 and 10/7, as well as 7/5 and 16/9. It is one of the ways approximate 11-limit harmony can appear in 7-limit scales.
Terminology
It could also be called werckismic major third if viewed as fudging from 14/11 instead. Wide major third, a less unique name, is attested in Scala.