35/24
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| Ratio | 35/24 |
| Factorization | 2-3 × 3-1 × 5 × 7 |
| Monzo | [-3 -1 1 1⟩ |
| Size in cents | 653.18462¢ |
| Name | septimal subfifth |
| Color name | zy5, zoyo 5th |
| FJS name | [math]\text{P5}^{5,7}[/math] |
| Special properties | reduced |
| Tenney height (log2 nd) | 9.71425 |
| Weil height (log2 max(n, d)) | 10.2586 |
| Wilson height (sopfr (nd)) | 21 |
| Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~4.6232 bits |
[sound info] | |
| open this interval in xen-calc | |
35/24, the septimal subfifth, is the interval between 6/5 and 7/4, and also between 8/7 and 5/3. It is 385/384 sharp of 16/11, and tempering out 385/384 leads to keenanismic chords such as 1-6/5-3/2-7/4 having all of their intervals counted as 11-limit consonances; since 385/384 is a small comma this works well in practice.
See also
- 48/35 -- its octave complement
- Iceface tuning
- Gallery of just intervals
- Subfifth