34/21
Jump to navigation
Jump to search
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 (log_{2} nd) | 9.47978 |
Weil height (log_{2} 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.