Aldebaran: Difference between revisions
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'''Aldebaran''' is the rank two 3.5.13 temperament tempering 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 2L 5s<3/1>, 2L 7s<3/1>, 2L 9s<3/1>, 2L 11s<3/1>, 13L 2s<3/1>, and 15L 13s<3/1>. Aldebaran temperament can | '''Aldebaran''' is the rank two 3.5.13 temperament tempering 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 2L 5s<3/1>, 2L 7s<3/1>, 2L 9s<3/1>, 2L 11s<3/1>, 13L 2s<3/1>, and 15L 13s<3/1>. Aldebaran temperament can accurately approximate the chord 9:13:15, which can be viewed as the "fundamental" chord of the 3.5.13 subgroup due to being equivalent to the 3rd, 5th and 13th harmonics tritave-reduced. | ||
Revision as of 07:46, 23 May 2023
Aldebaran is the rank two 3.5.13 temperament tempering 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 2L 5s<3/1>, 2L 7s<3/1>, 2L 9s<3/1>, 2L 11s<3/1>, 13L 2s<3/1>, and 15L 13s<3/1>. Aldebaran temperament can accurately approximate the chord 9:13:15, which can be viewed as the "fundamental" chord of the 3.5.13 subgroup due to being equivalent to the 3rd, 5th and 13th harmonics tritave-reduced.