Aldebaran: Difference between revisions
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'''Aldebaran''' is the [[non-octave]] [[rank-2 temperament|rank-2]] [[regular temperament|temperament]] of the 3.5.13 [[subgroup]] that [[tempering out|tempers out]] [[3159/3125]]. It has a generator of [[5/3]] (similar to [[arcturus]]) and equates 5 of them with [[13/9]]. It possesses non-trivial MOS of the families {{nowrap|2L 5s{{angbr|3/1}}|2L 7s{{angbr|3/1}}|2L 9s{{angbr|3/1}}|2L 11s{{angbr|3/1}}|13L 2s{{angbr|3/1}}|and 15L 13s{{angbr|3/1}}}}. Aldebaran temperament can accurately approximate the chord 9:13:15, which could be viewed as the "fundamental" chord of the 3.5.13 subgroup (similar to 4:5:6 for the 5-limit or 3:5:7 for the no-twos 7-limit) due to being tritave-equivalent to 3:5:13. [[15edt]]'s major sixth is near the optimal tuning for Aldebaran. | '''Aldebaran''' is the [[non-octave]] [[rank-2 temperament|rank-2]] [[regular temperament|temperament]] of the 3.5.13 [[subgroup]] that [[tempering out|tempers out]] [[3159/3125]]. It has a generator of [[5/3]] (similar to [[arcturus]]) and equates 5 of them with [[13/9]]. It possesses non-trivial MOS of the families {{nowrap|2L 5s{{angbr|3/1}}|2L 7s{{angbr|3/1}}|2L 9s{{angbr|3/1}}|2L 11s{{angbr|3/1}}|13L 2s{{angbr|3/1}}|and 15L 13s{{angbr|3/1}}}}. Aldebaran temperament can accurately approximate the chord 9:13:15, which could be viewed as the "fundamental" chord of the 3.5.13 subgroup (similar to 4:5:6 for the 5-limit or 3:5:7 for the no-twos 7-limit) due to being tritave-equivalent to 3:5:13. [[15edt]]'s major sixth is near the optimal tuning for Aldebaran. | ||
{{ | {{Tdhat|No-twos subgroup temperaments #Aldebaran}} | ||
== Etymology == | == Etymology == | ||
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[[Category:Aldebaran| ]] <!-- main article --> | [[Category:Aldebaran| ]] <!-- main article --> | ||
[[Category:Rank-2 temperaments]] | [[Category:Rank-2 temperaments]] | ||
[[Category: | [[Category:Non-octave temperaments]] | ||