Aldebaran: Difference between revisions

ArrowHead294 (talk | contribs)
mNo edit summary
m Cleanup
Line 1: Line 1:
'''Aldebaran''' is the [[non-octave]] [[rank]]-2 [[regular temperament]] of the 3.5.13 [[subgroup]] that [[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}}
{{tdhat|No-twos subgroup temperaments #Aldebaran}}