Dominant (temperament): Difference between revisions
More on higher limit extensions. |
Added Infobox Regtemp |
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{{Infobox Regtemp | |||
| Title = Dominant | |||
| Subgroups = 2.3.5.7 | |||
| Comma basis = [[36/35]], [[64/63]] | |||
| Edo join 1 = 5 | Edo join 2 = 7 | |||
| Generator = 3/2 | Generator tuning = 701.1 | Optimization method = CWE | |||
| MOS scales = [[2L 3s]], [[5L 2s]], [[5L 7s]] | |||
| Mapping = 1; 1 4 -2 | |||
| Pergen = (P8, P5) | |||
| Odd limit 1 = 7 | Mistuning 1 = 25.3 | Complexity 1 = 7 | |||
| Odd limit 2 = (7-limit) 27 | Mistuning 2 = 26.3 | Complexity 2 = 12 | |||
}} | |||
'''Dominant''' is a [[regular temperament|temperament]] which is an [[extension]] of both [[meantone]] and [[archy]]. It is defined by [[tempering out]] the [[81/80|syntonic comma (81/80)]] and [[64/63|septimal comma (64/63)]] in the 7-limit. It also tempers out the [[36/35|septimal quartertone (36/35)]], as 36/35 = (64/63)(81/80). It is the unique temperament that identifies the [[harmonic seventh chord]] with the [[dominant seventh chord]], which is a familiar feature from [[12edo]]. | '''Dominant''' is a [[regular temperament|temperament]] which is an [[extension]] of both [[meantone]] and [[archy]]. It is defined by [[tempering out]] the [[81/80|syntonic comma (81/80)]] and [[64/63|septimal comma (64/63)]] in the 7-limit. It also tempers out the [[36/35|septimal quartertone (36/35)]], as 36/35 = (64/63)(81/80). It is the unique temperament that identifies the [[harmonic seventh chord]] with the [[dominant seventh chord]], which is a familiar feature from [[12edo]]. | ||