99/70

Interval information

Ratio	99/70
Factorization	2-1 × 32 × 5-1 × 7-1 × 11
Monzo	[-1 2 -1 -1 1⟩
Size in cents	600.0883¢
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
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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:

Square root of 2

Temperaments

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