34/21
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Ratio
34/21
Factorization
2 × 3-1 × 7-1 × 17
Monzo
[1 -1 0 -1 0 0 1⟩
Size in cents
834.1745¢
Name
septendecimal supraminor sixth
Color name
17or6, soru 6th
FJS name
[math]\text{m6}^{17}_{7}[/math]
Special properties
reduced
Tenney height (log2 nd)
9.47978
Weil height (log2 max(n, d))
10.1749
Wilson height (sopfr(nd))
29
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.22852 bits
[sound info]
open this interval in xen-calc
| Interval information |
(Shannon, [math]\sqrt{nd}[/math])
[sound info]
34/21 is the septendecimal supraminor sixth.
This interval is a ratio of two consecutive Fibonacci numbers, therefore it approximates the golden ratio. In this case, 34/21 is ~1.1 ¢ sharp of the golden ratio. Two fall short of 21/8 and three of them fall short of 17/4 by 9261/9248, which becomes particularly significant in Sephiroth temperament.