162/161

Interval information

Ratio	162/161
Subgroup monzo	2.3.7.23 [1 4 -1 -1⟩
Size in cents	10.71975¢
Name	minor kirnbergerisma
Color name	23ur-2, twethuru negative 2nd Twethuru comma
FJS name	[math]\displaystyle{ \text{P1}_{7,23} }[/math]
Special properties	superparticular, reduced
Tenney height (log2 nd)	14.6708
Weil height (log2 max(n, d))	14.6797
Wilson height (sopfr(nd))	44
Comma size	small
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162/161, the minor kirnbergerisma, is a small 23-limit superparticular comma about 10.72 cents in size. It forms the difference between 23/18 and 9/7.

Etymology

The name minor kirnbergerisma is contrast to the major kirnbergerisma, 161/160, measuring about 10.79¢, which is the difference between 23/16 and 10/7. 162/161 is smaller than 161/160 by a 23-limit unnoticeable comma, 25921/25920. The word kirnbergerisma was named by Xenllium in 2023, for the following reason - 161/160 or 162/161 may be found in JI-approximated version of Kirnberger II as the difference between 1/2-comma-flattened fifth and pure fifth.

See also

• Small comma
• List of superparticular intervals
• 161/108 – a JI-approximated version of 1/2-comma-flattened fifth
• 161/120 – a JI-approximated version of 1/2-comma-sharpened fourth
• 216/161 – a JI-approximated version of 1/2-comma-sharpened fourth
• 240/161 – a JI-approximated version of 1/2-comma-flattened fifth