Buzzard: Difference between revisions

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{{Infobox Regtemp

| Title = Buzzard

| Subgroups = 2.3.7, 2.3.5.7, 2.3.5.7.11, 2.3.5.7.11.13

| Comma basis = [[65536/64827]] (2.3.7);<br>[[1728/1715]], [[5120/5103]] (7-limit);<br>[[176/175]], [[540/539]], [[5120/5103]] (11-limit);<br>[[176/175]], [[351/350]], [[540/539]], [[676/675]] (13-limit)

| Edo join 1 = 53 | Edo join 2 = 58

| Mapping = 1; 4 21 -3 39 27

| Generator = 21/16

| Generator tuning = 475.7

| Optimization method = CWE

| MOS scales = 3L 2s

| Ploidacot =

| Pergen =

| Color name =

| Odd limit 1 = (2.3.7) 9 | Mistuning 1 = 3.42 | Complexity 1 = 13

| Odd limit 2 = 15 | Mistuning 2 = 4.09 | Complexity 2 = 43

}}

'''Buzzard''' is a [[regular temperament|temperament]] that splits a tempered [[3/1|perfect twelfth (3/1)]] into four [[generator]]s of [[21/16]] subfourths, tempering out [[65536/64827]]. If [[harmonic]] [[5/1|5]] is desired, it is found by twenty-one generators octave-reduced, [[tempering out]] [[1728/1715]] and [[5120/5103]]. It extends to the [[13-limit]] by tempering out [[176/175]], [[351/350]], [[540/539]], and [[676/675]].

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See [[Buzzardsmic clan #Buzzard]] for technical data.

__TOC__

== Interval chain ==

In the following table, odd harmonics and subharmonics 1–21 are in '''bold'''.

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+{{Infobox Regtemp
+| Title = Buzzard
+| Subgroups = 2.3.7, 2.3.5.7, 2.3.5.7.11, 2.3.5.7.11.13
+| Comma basis = [[65536/64827]] (2.3.7);<br>[[1728/1715]], [[5120/5103]] (7-limit);<br>[[176/175]], [[540/539]], [[5120/5103]] (11-limit);<br>[[176/175]], [[351/350]], [[540/539]], [[676/675]] (13-limit)
+| Edo join 1 = 53 | Edo join 2 = 58
+| Mapping = 1; 4 21 -3 39 27
+| Generator = 21/16
+| Generator tuning = 475.7
+| Optimization method = CWE
+| MOS scales = 3L 2s
+| Ploidacot =
+| Pergen =
+| Color name =
+| Odd limit 1 = (2.3.7) 9 | Mistuning 1 = 3.42 | Complexity 1 = 13
+| Odd limit 2 = 15 | Mistuning 2 = 4.09 | Complexity 2 = 43
+}}
 '''Buzzard''' is a [[regular temperament|temperament]] that splits a tempered [[3/1|perfect twelfth (3/1)]] into four [[generator]]s of [[21/16]] subfourths, tempering out [[65536/64827]]. If [[harmonic]] [[5/1|5]] is desired, it is found by twenty-one generators octave-reduced, [[tempering out]] [[1728/1715]] and [[5120/5103]]. It extends to the [[13-limit]] by tempering out [[176/175]], [[351/350]], [[540/539]], and [[676/675]].
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 See [[Buzzardsmic clan #Buzzard]] for technical data.
+__TOC__
+{{Todo|improve synopsis}}
+{{Clear}}
 == Interval chain ==
 In the following table, odd harmonics and subharmonics 1–21 are in '''bold'''.