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

kalisma,
Gauss' comma

FJS name

[math]\displaystyle{ \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

Open this interval in xen-calc

99/70, the undecimal half-octave, undecimal square root of two approximant or greater Gauss's 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]\displaystyle{ \sqrt{2} : 1 }[/math].

English Wikipedia has an article on:

Square root of 2

Temperaments

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