Aldebaran: Difference between revisions

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== Temperament data ==

Revision as of 07:57, 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 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 equivalent to the 3rd, 5th and 13th harmonics tritave-reduced.

Interval chain

379.32 1267.08 252.88 1140.64 126.44 1014.20 0.00 887.76 1775.52 761.32 1649.08 634.88 1522.64

Temperament data