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, approximately one step of [[9edo]]. The monzo for 27/25 is {{monzo| 0 3 -2 }}. 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.

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, approximately one step of [[9edo]]. The monzo for 27/25 is {{monzo| 0 3 -2 }}.

Bug has a 7-limit extension, [[#Beep|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 divides [[3/1]] in half so it may be viewed as a less accurate version of [[semaphore and godzilla|semaphore]] (with beep combining the two).~~

~~Temperaments discussed elsewhere include [[Very low accuracy temperaments #Ugolino|ugolino]] and [[Very low accuracy temperaments #Codex|codex]]~~.

== Bug ==

Another notable tuning of bug is given by [[TE]], [[CTE]] and [[POTE]], all coinciding at 939.612{{c}} with pure octaves since prime 2 is not involved in the comma to begin with.

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 {{nowrap| 4 & 5 }} temperament, and its [[ploidacot]] is alpha-dicot. [[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. Another notable tuning of bug is given by [[TE]], [[CTE]] and [[POTE]], all coinciding at 939.612{{c}} with pure octaves since prime 2 is not involved in the comma to begin with.

[[Subgroup]]: 2.3.5

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[[Badness]] (Sintel): 0.769

=== Overview to extensions ===

Bug has an obvious 7-limit extension, [[#Beep|beep]], via the normal comma list {27/25, 36/35} which can also be obtained by adding [[21/20]]. There is an alternative, [[#Mite|mite]], which adds [[28/25]] instead.

Temperaments discussed elsewhere include [[Very low accuracy temperaments #Ugolino|ugolino]] and [[Very low accuracy temperaments #Codex|codex]]. Considered below are beep and mite.

== Beep ==

As bug divides [[3/1]] in half for 5/3~9/5, it only makes sense to also equate this interval with 7/4~12/7, joining the temperament with [[semaphore and godzilla|semaphore]].

Beep has the curious property that if we know both the beep tempering and the [[ennealimmal]] tempering of a given 7-limit interval ''x'', that is enough to know what JI ratio ''x'' is.

[[Subgroup]]: 2.3.5.7

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 {{Technical data page}}
-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, approximately one step of [[9edo]]. The monzo for 27/25 is {{monzo| 0 3 -2 }}. 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.
+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, approximately one step of [[9edo]]. The monzo for 27/25 is {{monzo| 0 3 -2 }}.
-Bug has a 7-limit extension, [[#Beep|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 divides [[3/1]] in half so it may be viewed as a less accurate version of [[semaphore and godzilla|semaphore]] (with beep combining the two).
-Temperaments discussed elsewhere include [[Very low accuracy temperaments #Ugolino|ugolino]] and [[Very low accuracy temperaments #Codex|codex]].
 == Bug ==
-Another notable tuning of bug is given by [[TE]], [[CTE]] and [[POTE]], all coinciding at 939.612{{c}} with pure octaves since prime 2 is not involved in the comma to begin with.
+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 {{nowrap| 4 & 5 }} temperament, and its [[ploidacot]] is alpha-dicot. [[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. Another notable tuning of bug is given by [[TE]], [[CTE]] and [[POTE]], all coinciding at 939.612{{c}} with pure octaves since prime 2 is not involved in the comma to begin with.
 [[Subgroup]]: 2.3.5
@@ Line 28: / Line 22: @@
 [[Badness]] (Sintel): 0.769
+=== Overview to extensions ===
+Bug has an obvious 7-limit extension, [[#Beep|beep]], via the normal comma list {27/25, 36/35} which can also be obtained by adding [[21/20]]. There is an alternative, [[#Mite|mite]], which adds [[28/25]] instead.
+Temperaments discussed elsewhere include [[Very low accuracy temperaments #Ugolino|ugolino]] and [[Very low accuracy temperaments #Codex|codex]]. Considered below are beep and mite.
 == Beep ==
 {{Main| Beep }}
 {{See also| Semaphoresmic clan }}
+As bug divides [[3/1]] in half for 5/3~9/5, it only makes sense to also equate this interval with 7/4~12/7, joining the temperament with [[semaphore and godzilla|semaphore]].
+Beep has the curious property that if we know both the beep tempering and the [[ennealimmal]] tempering of a given 7-limit interval ''x'', that is enough to know what JI ratio ''x'' is.
 [[Subgroup]]: 2.3.5.7