Aldebaran: Difference between revisions
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== Temperament data == | == Temperament data == | ||
[[Subgroup]]: 3.5.13 | |||
[[Comma list]]: 3159/3125 | |||
[[Mapping]]: [{{val|1 0 5}}, {{val|0 1 -2}}] | |||
[[Support]]ing [[EDT]]s: 15, 17, 13, 32, 47, 28, 11[-13], 19[+13], 43, 9[-13], 7[-13], 49[+13], 21[+13], 41[-13] | |||
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Revision as of 08:06, 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 tritave-equivalent to 3:5:13.
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 EDTs: 15, 17, 13, 32, 47, 28, 11[-13], 19[+13], 43, 9[-13], 7[-13], 49[+13], 21[+13], 41[-13]
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