48/35
Jump to navigation
Jump to search
Ratio
48/35
Factorization
24 × 3 × 5-1 × 7-1
Monzo
[4 1 -1 -1⟩
Size in cents
546.8154¢
Name
septimal superfourth
Color name
rg4, rugu 4th
FJS name
[math]\text{P4}_{5,7}[/math]
Special properties
reduced
Tenney height (log2 nd)
10.7142
Weil height (log2 max(n, d))
11.1699
Wilson height (sopfr(nd))
23
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.24495 bits
[sound info]
open this interval in xen-calc
| Interval information |
(Shannon, [math]\sqrt{nd}[/math])
[sound info]
48/35, the septimal superfourth (546.8 ¢), is 385/384 (4.5 ¢) below the undecimal superfourth of 11/8 (551.3 ¢). It is opposite 1/1 in the octahedral geometry of the hexany 1/1-8/7-6/5-48/35-8/5-12/7-2/1; hence in the keenanismic temperament tempering out 385/384, 11 is an interval of rather low complexity, with 11/8 being the interval between 7/6 and 8/5.
See also
- 35/24 – its octave complement
- Gallery of just intervals
- Superfourth