Bunya: Difference between revisions

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| Title = Bunya

| Subgroups = 2.3.5.7, 2.3.5.7.11, 2.3.5.7.11.13

| Comma basis = [[225/224]], [[15625/15309]] (7-limit); [[100/99]], [[225/224]], [[243/242]] (11-limit) [[100/99]], [[144/143]], [[225/224]], [[243/242]] (13-limit)

| Comma basis = [[225/224]], [[15625/15309]] (7-limit); [[100/99]], [[225/224]], [[243/242]] (11-limit); [[100/99]], [[144/143]], [[225/224]], [[243/242]] (13-limit)

| Edo join 1 = 34d | Edo join 2 = 41

| Mapping = 1; 4 9 26 10 -2

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The '''bunya''' [[regular temperament|temperament]] is one of the [[7-limit]] [[extension]]s of [[tetracot]], the [[5-limit]] temperament [[tempering out]] the [[tetracot comma]] (20000/19683), and is naturally a full [[13-limit]] temperament.

In addition to the [[tetracot comma]], bunya tempers out [[225/224]], making it a [[marvel temperaments|marvel temperament]]. This means the [[~]][[15/8]], at 13 generator steps, is equated with ~[[28/15]], and ~[[7/4]] is found as twice of that interval.

In addition to the [[tetracot comma]], bunya tempers out [[225/224]], making it a [[marvel temperaments|marvel temperament]]. This means the [[~]][[15/8]], at 13 generator steps, is equated with ~[[28/15]], and ~[[7/4]] is found as twice of that interval. Additionally, it is a [[parapyth]] temperament, as it tempers out [[352/351]], [[364/363]], and [[896/891]].

Additionally, the generator can be taken to represent [[21/19]], which gives us an extension for prime 19 at +29 generator steps.

See [[Tetracot family #Bunya]] for technical data.

== Interval chain ==

@@ Line 2: / Line 2: @@
 | Title = Bunya
 | Subgroups = 2.3.5.7, 2.3.5.7.11, 2.3.5.7.11.13
-| Comma basis = [[225/224]], [[15625/15309]] (7-limit);<br>[[100/99]], [[225/224]], [[243/242]] (11-limit)<br>[[100/99]], [[144/143]], [[225/224]], [[243/242]]<br>(13-limit)
+| Comma basis = [[225/224]], [[15625/15309]] (7-limit);<br>[[100/99]], [[225/224]], [[243/242]] (11-limit);<br>[[100/99]], [[144/143]], [[225/224]], [[243/242]]<br>(13-limit)
 | Edo join 1 = 34d | Edo join 2 = 41
 | Mapping = 1; 4 9 26 10 -2
@@ Line 14: / Line 14: @@
 The '''bunya''' [[regular temperament|temperament]] is one of the [[7-limit]] [[extension]]s of [[tetracot]], the [[5-limit]] temperament [[tempering out]] the [[tetracot comma]] (20000/19683), and is naturally a full [[13-limit]] temperament.
-In addition to the [[tetracot comma]], bunya tempers out [[225/224]], making it a [[marvel temperaments|marvel temperament]]. This means the [[~]][[15/8]], at 13 generator steps, is equated with ~[[28/15]], and ~[[7/4]] is found as twice of that interval.
+In addition to the [[tetracot comma]], bunya tempers out [[225/224]], making it a [[marvel temperaments|marvel temperament]]. This means the [[~]][[15/8]], at 13 generator steps, is equated with ~[[28/15]], and ~[[7/4]] is found as twice of that interval. Additionally, it is a [[parapyth]] temperament, as it tempers out [[352/351]], [[364/363]], and [[896/891]].
 Additionally, the generator can be taken to represent [[21/19]], which gives us an extension for prime 19 at +29 generator steps.
+See [[Tetracot family #Bunya]] for technical data.
 == Interval chain ==