81/40
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| Ratio | 81/40 |
| Factorization | 2-3 × 34 × 5-1 |
| Monzo | [-3 4 -1⟩ |
| Size in cents | 1221.5063¢ |
| Name | syntonic octave |
| Color name | g8, gu octave |
| FJS name | [math]\text{P8}_{5}[/math] |
| Tenney height (log2 nd) | 11.6618 |
| Weil height (log2 max(n, d)) | 12.6797 |
| Wilson height (sopfr (nd)) | 23 |
| Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~4.15641 bits |
| open this interval in xen-calc | |
The ratio of 81/40 is the distance between the 81st and 40th harmonic, which can be seen as an octave that is augmented by a syntonic comma (81/80). This interval spans the size of about 1221.5 cents.