Augmented (temperament): Difference between revisions

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+{{Infobox Regtemp
+| Title = Augene
+| Subgroups = 2.3.5.7
+| Comma basis = [[64/63]], [[126/125]]
+| Edo join 1 = 12 | Edo join 2 = 15
+| Mapping = 3; 1 0 -2
+| Generator = 3/2
+| Generator tuning = 709.3
+| Optimization method = CWE
+| MOS scales = [[3L 3s]], [[3L 6s]], [[3L 9s]], [[12L 3s]]
+| Pergen = (P8/3, P5)
+| Odd limit 1 = 7 | Mistuning 1 = 13.7 | Complexity 1 = 12
+| Odd limit 2 = (7-limit) 21 | Mistuning 2 = 20.5 | Complexity 2 = 15
+}}
 '''Augene''' is a [[regular temperament]] of the [[augmented family]], which means that [[128/125]] is [[tempering out|tempered out]] and three [[5/4]]'s make a [[2/1]]. Augene is distinguished from its relative [[august]] by tempering out [[64/63]], which means that tunings in which the fifth is larger than 7\12 (700 cents) are optimal. Therefore the [[optimal ET sequence]] of augene goes 12, 15, 27, … in constrast to august's which goes 9, 12, 21, ….
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 | -1/3 comma
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-| 7\12
+| '''7\12'''
-|
-| 700.000
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+| '''700.000'''
+| '''Lower bound of 7- to 11-odd-limit diamond monotone'''
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 |-
-| 9\15
+| '''9\15'''
-|
-| 720.000
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+| '''720.000'''
+| '''Upper bound of 7- to 11-odd-limit diamond monotone'''
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