Bug family: Difference between revisions

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The 5-limit parent of the bug family is bug, a temperament of sorts which tempers out 27/25, the large limma, or approximately one step of [[9edo|9edo]]. The monzo for 27/25 is |0 3 -2>, the dual of which is <<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|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 ~~what~~ the beep tempering ~~is,~~ and ~~we know what~~ the [[Ragismic_microtemperaments|ennealimmal]] tempering ~~is, we can reconstruct~~ 7-limit JI.

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]] tempering of a given 7-limit interval ''x'', we know what JI ratio ''x'' is.

=Bug=

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 The 5-limit parent of the bug family is bug, a temperament of sorts which tempers out 27/25, the large limma, or approximately one step of [[9edo|9edo]]. The monzo for 27/25 is |0 3 -2&gt;, the dual of which is &lt;&lt;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|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 what the beep tempering is, and we know what the [[Ragismic_microtemperaments|ennealimmal]] tempering is, we can reconstruct 7-limit JI.
+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]] tempering of a given 7-limit interval ''x'', we know what JI ratio ''x'' is.
 =Bug=