Aldebaran: Difference between revisions
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| Line 17: | Line 17: | ||
|1522.64 | |1522.64 | ||
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| Line 23: | Line 24: | ||
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|[[1/1]] | |[[1/1]] | ||
| | |[[5/3]] | ||
| | |25/9 | ||
| | |125/81 | ||
| | |[[13/5]] | ||
| | |[[13/9]] | ||
| | |65/27 | ||
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== Temperament data == | == Temperament data == | ||
Revision as of 07:59, 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 |
| 1/1 | 5/3 | 25/9 | 125/81 | 13/5 | 13/9 | 65/27 |