161/160: Difference between revisions

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[[Comma list]]: 161/160

[[Mapping]]: <nowiki>[⟨1 0 0 0 0 0 0 0  5],  ⟨0 1 0 0 0 0 0 0  0],  ⟨0 0 1 0 0 0 0 0  1],  ⟨0 0 0 1 0 0 0 0 -1],  ⟨0 0 0 0 1 0 0 0  0],  ⟨0 0 0 0 0 1 0 0  0],  ⟨0 0 0 0 0 0 1 0  0],  ⟨0 0 0 0 0 0 0 1  0]]</nowiki>

[[Mapping]]: <nowiki>[</nowiki>⟨1 0 0 0 0 0 0 0  5<nowiki>]</nowiki>,  ⟨0 1 0 0 0 0 0 0  0<nowiki>]</nowiki>,  ⟨0 0 1 0 0 0 0 0  1<nowiki>]</nowiki>,  ⟨0 0 0 1 0 0 0 0 -1<nowiki>]</nowiki>,  ⟨0 0 0 0 1 0 0 0  0<nowiki>]</nowiki>,  ⟨0 0 0 0 0 1 0 0  0<nowiki>]</nowiki>,  ⟨0 0 0 0 0 0 1 0  0<nowiki>]</nowiki>,  ⟨0 0 0 0 0 0 0 1  0<nowiki>]]</nowiki>

: Mapping generators: ~2, ~3, ~5, ~7, ~11, ~13, ~17, ~19

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Comma list: 161/160

Mapping: <nowiki>[⟨1 0 0  5],  ⟨0 1 0  1],  ⟨0 0 1 -1]]</nowiki>

Mapping: <nowiki>[</nowiki>⟨1 0 0  5<nowiki>]</nowiki>,  ⟨0 1 0  1<nowiki>]</nowiki>,  ⟨0 0 1 -1<nowiki>]]</nowiki>

: Mapping generators: ~2, ~5, ~7

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== 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 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.

== See also ==

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* [[240/161]] – a JI-approximated version of 1/2-comma-flattened fifth

[[~~Catrgory~~:Kirnbergerismic]]

[[Category:Kirnbergerismic]]

[[Category:Major kirnbergerismic]]

[[Category:Commas named after music theorists]]

[[Category:Commas named after composers]]

@@ Line 15: / Line 15: @@
 [[Comma list]]: 161/160
-[[Mapping]]: <br><nowiki>[⟨1 0 0 0 0 0 0 0 &nbsp;5], <br>&nbsp;⟨0 1 0 0 0 0 0 0 &nbsp;0], <br>&nbsp;⟨0 0 1 0 0 0 0 0 &nbsp;1], <br>&nbsp;⟨0 0 0 1 0 0 0 0 -1], <br>&nbsp;⟨0 0 0 0 1 0 0 0 &nbsp;0], <br>&nbsp;⟨0 0 0 0 0 1 0 0 &nbsp;0], <br>&nbsp;⟨0 0 0 0 0 0 1 0 &nbsp;0], <br>&nbsp;⟨0 0 0 0 0 0 0 1  &nbsp;0]]</nowiki>
+[[Mapping]]: <br><nowiki>[</nowiki>⟨1 0 0 0 0 0 0 0 &nbsp;5<nowiki>]</nowiki>, <br>&nbsp;⟨0 1 0 0 0 0 0 0 &nbsp;0<nowiki>]</nowiki>, <br>&nbsp;⟨0 0 1 0 0 0 0 0 &nbsp;1<nowiki>]</nowiki>, <br>&nbsp;⟨0 0 0 1 0 0 0 0 -1<nowiki>]</nowiki>, <br>&nbsp;⟨0 0 0 0 1 0 0 0 &nbsp;0<nowiki>]</nowiki>, <br>&nbsp;⟨0 0 0 0 0 1 0 0 &nbsp;0<nowiki>]</nowiki>, <br>&nbsp;⟨0 0 0 0 0 0 1 0 &nbsp;0<nowiki>]</nowiki>, <br>&nbsp;⟨0 0 0 0 0 0 0 1  &nbsp;0<nowiki>]]</nowiki>
 : Mapping generators: ~2, ~3, ~5, ~7, ~11, ~13, ~17, ~19
@@ Line 26: / Line 26: @@
 Comma list: 161/160
-Mapping: <br><nowiki>[⟨1 0 0 &nbsp;5], <br>&nbsp;⟨0 1 0 &nbsp;1], <br>&nbsp;⟨0 0 1 -1]]</nowiki>
+Mapping: <br><nowiki>[</nowiki>⟨1 0 0 &nbsp;5<nowiki>]</nowiki>, <br>&nbsp;⟨0 1 0 &nbsp;1<nowiki>]</nowiki>, <br>&nbsp;⟨0 0 1 -1<nowiki>]]</nowiki>
 : Mapping generators: ~2, ~5, ~7
@@ Line 33: / Line 33: @@
 == 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 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.
 == See also ==
@@ Line 43: / Line 43: @@
 * [[240/161]] – a JI-approximated version of 1/2-comma-flattened fifth
-[[Catrgory:Kirnbergerismic]]
+[[Category:Kirnbergerismic]]
 [[Category:Major kirnbergerismic]]
+[[Category:Commas named after music theorists]]
+[[Category:Commas named after composers]]