48/35
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| Ratio | 48/35 |
| Factorization | 24 × 3 × 5-1 × 7-1 |
| Monzo | [4 1 -1 -1⟩ |
| Size in cents | 546.81538¢ |
| 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 | |
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