99/70
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| Ratio | 99/70 |
| Factorization | 2-1 × 32 × 5-1 × 7-1 × 11 |
| Monzo | [-1 2 -1 -1 1⟩ |
| Size in cents | 600.08832¢ |
| Names | undecimal semioctave, greater Gauss' tritone |
| Color name | 1org4, lorugu 4th |
| FJS name | [math]\text{P4}^{11}_{5,7}[/math] |
| Special properties | reduced |
| Tenney height (log2 nd) | 12.7586 |
| Weil height (log2 max(n, d)) | 13.2587 |
| Wilson height (sopfr (nd)) | 31 |
| Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~4.22617 bits |
| open this interval in xen-calc | |
99/70, the undecimal semioctave, undecimal square root of two approximant or greater Gauss' tritone, is an 11-limit ratio measuring 600.0883 cents. The ratio is 5th in the continued fraction series towards the 600-cent tritone with frequency of [math]\sqrt{2} : 1[/math].
English Wikipedia has an article on:
Temperaments
The kalismic temperament equates this interval with its octave complement, 140/99 by tempering out 9801/9800.