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 (log_{2} nd) | 9.71425 |
Weil height (log_{2} max(n, d)) | 10.2586 |
Wilson height (sopfr (nd)) | 21 |
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~4.26982 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