69/68

Interval information

Ratio	69/68
Subgroup monzo	2.3.17.23 [-2 1 -1 1⟩
Size in cents	25.27394¢
Name	large vicesimotertial 1/8-tone
Color name	23o17u1, twethosu 1sn, Twethosu comma
FJS name	[math]\displaystyle{ \text{d}{-2}^{23}_{17} }[/math]
Special properties	superparticular, reduced
Tenney height (log2 nd)	12.196
Weil height (log2 max(n, d))	12.217
Wilson height (sopfr(nd))	47
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.25794 bits
Comma size	small
Open this interval in xen-calc

69/68 is a superparticular interval of about 25.3¢ which makes the difference between 17/12 and 23/16 in 23-limit just intonation; it is also the difference between 18/17 and 24/23.

See also

• Small comma
• List of superparticular intervals