35/24
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Ratio
35/24
Factorization
2-3 × 3-1 × 5 × 7
Monzo
[-3 -1 1 1⟩
Size in cents
653.1846¢
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{nd}[/math])
~4.26982 bits
[sound info]
open this interval in xen-calc
| Interval information |
(Shannon, [math]\sqrt{nd}[/math])
[sound info]
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