21/13
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Ratio | 21/13 |
Factorization | 3 × 7 × 13^{-1} |
Monzo | [0 1 0 1 0 -1⟩ |
Size in cents | 830.25325¢ |
Name | tridecimal supraminor sixth |
Color name | thuzo 6th, 3uz6 |
FJS name | [math]\text{M6}^{7}_{13}[/math] |
Special properties | reduced |
Tenney height (log_{2} n⋅d) | 8.09276 |
Weil height (max(n, d)) | 21 |
Benedetti height (n⋅d) | 273 |
Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~4.56654 bits |
[sound info] | |
open this interval in xen-calc |
21/13, the tridecimal supraminor sixth, is ca. 830 cents in size. It has a very good approximation in 13edo.
This interval is a ratio of two consecutive Fibonacci numbers, therefore it approximates the golden ratio, specifically acoustic phi. In this case, 21/13 is ~2.8 ¢ flat of the golden ratio.