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 [[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 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.

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.

Revision as of 12:42, 6 June 2021 view source Xenwolf (talk \| contribs) autopatrolled, Bureaucrats, confirmaccount-notify, Interface administrators, Sysops 8,705 edits optimize EDO links (now via redirect); link ennealimmal tempering to section ← Older edit		Revision as of 12:52, 6 June 2021 view source Xenwolf (talk \| contribs) autopatrolled, Bureaucrats, confirmaccount-notify, Interface administrators, Sysops 8,705 edits m +link Newer edit →
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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 [[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 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.

	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.		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.