Bug family: Difference between revisions

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The 5-limit parent of the bug family is bug, a temperament of sorts (that is, an [[exotemperament]]) which tempers out [[27/25]], the large limma, or approximately one step of [[~~9 EDO~~]]. The monzo for 27/25 is {{monzo|0 3 -2}}, the dual of which is {{multival|2 3 0}}. The generator for bug is 5/3, two of which give the 3, and three of which give the 5. Bug may be described as the 4&5 temperament, and [[~~14 EDO~~]] is a good bug tuning, though wide latitude in these matters is possible. 4, 5, or 9 note MOS are a place to start with it.

The 5-limit parent of the '''bug family''' is bug, a temperament of sorts (that is, an [[exotemperament]]) which tempers out [[27/25]], the large limma, or approximately one step of [[9edo]]. The monzo for 27/25 is {{monzo| 0 3 -2 }}, the dual of which is {{multival| 2 3 0 }}. The generator for bug is 5/3, two of which give the 3, and three of which give the 5. Bug may be described as the 4&5 temperament, and [[14edo]] is a good bug tuning, though wide latitude in these matters is possible. 4, 5, or 9 note MOS are a place to start with it.

Bug has a 7-limit extension, beep, via the normal comma list [27/25, 36/35] which can also be obtained by adding 21/20. Beep has the curious property that if we know both the beep tempering and the [[Ragismic microtemperaments #Ennealimmal|ennealimmal]] tempering of a given 7-limit interval ''x'', that is enough to know what JI ratio ''x'' is.

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Subgroup: 2.3.5

[[Comma]]: 27/25

[[Comma list]]: 27/25

[[Mapping]]: [{{val|1 0 0}}, {{val|0 -2 -3}}]

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Subgroup: 2.3.5.7

[[Comma list]]: 36/35, 27/25

[[Comma list]]: 21/20, 27/25

[[Mapping]]: [{{val|1 0 0 2}}, {{val|0 2 3 1}}]

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[[Badness]]: 0.054770

[[Category:~~Temperament~~]]

[[Category:Regular temperament theory]]

[[Category:Temperament family]]

[[Category:Bug family]]

[[Category:Rank 2]]

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-The 5-limit parent of the bug family is bug, a temperament of sorts (that is, an [[exotemperament]]) which tempers out [[27/25]], the large limma, or approximately one step of [[9 EDO]]. The monzo for 27/25 is {{monzo|0 3 -2}}, the dual of which is {{multival|2 3 0}}. The generator for bug is 5/3, two of which give the 3, and three of which give the 5. Bug may be described as the 4&amp;5 temperament, and [[14 EDO]] is a good bug tuning, though wide latitude in these matters is possible. 4, 5, or 9 note MOS are a place to start with it.
+The 5-limit parent of the '''bug family''' is bug, a temperament of sorts (that is, an [[exotemperament]]) which tempers out [[27/25]], the large limma, or approximately one step of [[9edo]]. The monzo for 27/25 is {{monzo| 0 3 -2 }}, the dual of which is {{multival| 2 3 0 }}. The generator for bug is 5/3, two of which give the 3, and three of which give the 5. Bug may be described as the 4&amp;5 temperament, and [[14edo]] is a good bug tuning, though wide latitude in these matters is possible. 4, 5, or 9 note MOS are a place to start with it.
 Bug has a 7-limit extension, beep, via the normal comma list [27/25, 36/35] which can also be obtained by adding 21/20. Beep has the curious property that if we know both the beep tempering and the [[Ragismic microtemperaments #Ennealimmal|ennealimmal]] tempering of a given 7-limit interval ''x'', that is enough to know what JI ratio ''x'' is.
@@ Line 6: / Line 6: @@
 Subgroup: 2.3.5
-[[Comma]]: 27/25
+[[Comma list]]: 27/25
 [[Mapping]]: [{{val|1 0 0}}, {{val|0 -2 -3}}]
@@ Line 19: / Line 19: @@
 Subgroup: 2.3.5.7
-[[Comma list]]: 36/35, 27/25
+[[Comma list]]: 21/20, 27/25
 [[Mapping]]: [{{val|1 0 0 2}}, {{val|0 2 3 1}}]
@@ Line 85: / Line 85: @@
 [[Badness]]: 0.054770
-[[Category:Temperament]]
+[[Category:Regular temperament theory]]
 [[Category:Temperament family]]
+[[Category:Bug family]] <!-- main article -->
+[[Category:Rank 2]]