Aldebaran

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

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

Temperament data

Subgroup: 3.5.13

Comma list: 3159/3125

Mapping: [⟨1 0 5], ⟨0 1 -2]]

Supporting ETs: 15, 17, 13, 32, 47, 28, 11[-13], 19[+13], 43, 9[-13], 7[-13], 49[+13], 21[+13], 41[-13]

CTE generator: ~5/3 = 887.76