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Interval information
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{n\cdot d}[/math])
~4.55273 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].

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The kalismic temperament equates this interval with its octave complement, 140/99 by tempering out 9801/9800.