Aldebaran: Difference between revisions
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'''Aldebaran''' is the rank | '''Aldebaran''' is the [[non-octave]] [[rank-2 temperament|rank-2]] [[regular temperament|temperament]] of the 3.5.13 [[subgroup]] that [[tempering out|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 {{nowrap|2L 5s{{angbr|3/1}}|2L 7s{{angbr|3/1}}|2L 9s{{angbr|3/1}}|2L 11s{{angbr|3/1}}|13L 2s{{angbr|3/1}}|and 15L 13s{{angbr|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. | ||
{{Tdhat|No-twos subgroup temperaments #Aldebaran}} | |||
== Etymology == | |||
This temperament is named after the star {{w|Aldebaran}}, following a series of non-octave temperaments that are named after stars. | |||
{{todo|add etymology|inline=1|text=Add name (person who coined the term) and year (when it was coined).}} | |||
== Interval chain == | |||
{| class="wikitable" | |||
|- | |||
| 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 | |||
|} | |||
[[Category:Aldebaran| ]] <!-- main article --> | |||
[[Category:Rank-2 temperaments]] | |||
[[Category:Non-octave temperaments]] | |||