161/160: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Name = major kirnbergerisma
| Name = major kirnbergisma
| Color name = 23ozg2, twethozogu 2nd <br>Twethozogu comma
| Color name = 23ozg2, twethozogu 2nd <br>Twethozogu comma
| Comma = yes
| Comma = yes
}}
}}


'''161/160''', the '''major kirnbergerisma''', is a [[small comma|small]] [[23-limit]] [[superparticular]] comma about 10.79 [[cent]]s in size. It forms the difference between [[23/16]] and [[10/7]].
'''161/160''', the '''major kirnbergisma''', is a [[small comma|small]] [[23-limit]] [[superparticular]] comma about 10.79 [[cent]]s in size. It forms the difference between [[23/16]] and [[10/7]].


== Etymology ==
== 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 [[User:Xenllium|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.
The name ''major kirnbergisma'' is contrast to the ''minor kirnbergisma'', [[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 ''kirnbergisma'' was introduced by [[User:Xenllium|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 ==
== See also ==

Revision as of 18:49, 22 April 2024

Interval information
Ratio 161/160
Subgroup monzo 2.5.7.23 [-5 -1 1 1⟩
Size in cents 10.78654¢
Name major kirnbergisma
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
Open this interval in xen-calc

161/160, the major kirnbergisma, 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 kirnbergisma is contrast to the minor kirnbergisma, 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 kirnbergisma 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

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