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 | |
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.