Muggles: Difference between revisions

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| en = Muggles

| de = Magische Temperaturen #Muggel

}}

{{Infobox regtemp

| Title = Muggles

| Subgroups = 2.3.5.7, 2.3.5.7.13

| Comma basis = [[126/125]], [[525/512]] (7-limit);<br>[[45/44]], [[126/125]], [[385/384]] (11-limit);<br>[[45/44]], [[65/64]], [[78/77]], [[126/125]]<br>(13-limit)

| Edo join 1 = 16 | Edo join 2 = 19

| Mapping = 1; 5 1 -7 11 -1

| Generators = 5/4

| Generators tuning = 377.7

| Optimization method = CWE

| MOS scales = [[3L 7s]], [[3L 10s]], [[3L 13s]], [[16L 3s]]

| Odd limit 1 = 9 | Mistuning 1 = 18.6 | Complexity 1 = 19

| Odd limit 2 = 13 | Mistuning 2 = 29.0 | Complexity 2 = 19

}}

'''Muggles''' is the rank-2 [[regular temperament|temperament]] [[tempering out]] [[126/125]], the starling comma, and [[525/512]], Avicenna's enharmonic diesis. It is an alternative 7-limit extension to [[magic]] and can be described as the 16 & 19 temperament; [[16edo]], [[35edo]], and [[54edo]] with the flat-fifth bd [[val]] all are muggles tunings. As a tuning noted for having both very flat [[3/2|3rd]] and [[5/4|5th]] harmonics, and supported by [[19edo]], it is very analogous to [[flattone]]. Similarly to flattone, muggles can extend to the [[13-limit]] by equating [[5/4]] to both [[11/9]] and [[16/13]], thereby tempering out [[45/44]] and [[65/64]].

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== Interval chain ==

Odd harmonics 1–13 and their inverses are in '''bold'''.

{| class="wikitable center-1 right-2"

|-

@@ Line 2: / Line 2: @@
 | en = Muggles
 | de = Magische Temperaturen #Muggel
+}}
+{{Infobox regtemp
+| Title = Muggles
+| Subgroups = 2.3.5.7, 2.3.5.7.13
+| Comma basis = [[126/125]], [[525/512]] (7-limit);<br>[[45/44]], [[126/125]], [[385/384]] (11-limit);<br>[[45/44]], [[65/64]], [[78/77]], [[126/125]]<br>(13-limit)
+| Edo join 1 = 16 | Edo join 2 = 19
+| Mapping = 1; 5 1 -7 11 -1
+| Generators = 5/4
+| Generators tuning = 377.7
+| Optimization method = CWE
+| MOS scales = [[3L 7s]], [[3L 10s]], [[3L 13s]], [[16L 3s]]
+| Odd limit 1 = 9 | Mistuning 1 = 18.6 | Complexity 1 = 19
+| Odd limit 2 = 13 | Mistuning 2 = 29.0 | Complexity 2 = 19
 }}
 '''Muggles''' is the rank-2 [[regular temperament|temperament]] [[tempering out]] [[126/125]], the starling comma, and [[525/512]], Avicenna's enharmonic diesis. It is an alternative 7-limit extension to [[magic]] and can be described as the 16 & 19 temperament; [[16edo]], [[35edo]], and [[54edo]] with the flat-fifth bd [[val]] all are muggles tunings. As a tuning noted for having both very flat [[3/2|3rd]] and [[5/4|5th]] harmonics, and supported by [[19edo]], it is very analogous to [[flattone]]. Similarly to flattone, muggles can extend to the [[13-limit]] by equating [[5/4]] to both [[11/9]] and [[16/13]], thereby tempering out [[45/44]] and [[65/64]].
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 == Interval chain ==
 Odd harmonics 1–13 and their inverses are in '''bold'''.
 {| class="wikitable center-1 right-2"
 |-