161/160

Interval information

Ratio	161/160
Subgroup monzo	2.5.7.23 [-5 -1 1 1⟩
Size in cents	10.78654¢
Name	major kirnbergerisma
Color name	23ozg2, twethozogu 2nd Twethozogu comma
FJS name	[math]\displaystyle{ \text{P1}^{7,23}_{5} }[/math]
Special properties	superparticular, reduced
Tenney norm (log2 nd)	14.6528
Weil norm (log2 max(n, d))	14.6618
Wilson norm (sopfr(nd))	45
Comma size	small
S-expression	S21⋅S22⋅S23
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161/160, the major kirnbergerisma, is a small 23-limit superparticular comma about 10.79 cents in size. It forms the difference between 23/16 and 10/7.

Etymology

The name major kirnbergerisma is contrast to the minor kirnbergerisma, 162/161, measuring about 10.72¢, which is the difference between 23/18 and 9/7. 161/160 is larger than 162/161 by a 23-limit unnoticeable comma, 25921/25920. The word kirnbergerisma was introduced 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