70/69

Interval information

Ratio	70/69
Subgroup monzo	2.3.5.7.23 [1 -1 1 1 -1⟩
Size in cents	24.91027¢
Name	small vicesimotertial 1/8-tone
Color name	23uzy1, twethuzoyo 1sn, Twethuzoyo comma
FJS name	[math]\displaystyle{ \text{m2}^{5,7}_{23} }[/math]
Special properties	superparticular, reduced
Tenney height (log2 nd)	12.2378
Weil height (log2 max(n, d))	12.2586
Wilson height (sopfr(nd))	40
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.23388 bits
Comma size	small
Open this interval in xen-calc

70/69 is a superparticular interval of about 24.9¢ which makes the difference between 6/5 and 28/23 in 23-limit just intonation; it is also the difference between 7/6 and 23/20.

Temperaments

It is close to one step of 48edo, and the comma associating it with 1\48 is tempered out in notable high-prime-limit systems like 624edo and 4320edo.

See also

• Small comma
• List of superparticular intervals