161/160

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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]\text{P1}^{7,23}_{5}[/math]
Special properties superparticular,
reduced
Tenney height (log2 nd) 14.6528
Weil height (log2 max(n, d)) 14.6618
Wilson height (sopfr (nd)) 45
Harmonic entropy
(Shannon, [math]\sqrt{n\cdot d}[/math])
~2.86237 bits
Comma size small
S-expression S21 × S22 × S23
open this interval in xen-calc

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