Aldebaran

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 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 tritave-equivalent to 3:5:13. 15edt's major sixth is near the optimal tuning for Aldebaran.

For technical data, see No-twos subgroup temperaments #Aldebaran.

Etymology

This temperament is named after the star Aldebaran, following a series of non-octave temperaments that are named after stars.

Todo: add etymology Add name (person who coined the term) and year (when it was coined).

Interval chain

1393.52	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	508.44
729/325	81/65	27/13	15/13	243/125	27/25	9/5	1/1	5/3	25/9	125/81	13/5	13/9	65/27	325/243