Syntonic–limmic equivalence continuum: Difference between revisions
Move university here |
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{{Main| University }} | {{Main| University }} | ||
: ''For extensions, see [[Gamelismic clan #Gidorah]] and [[Mint temperaments #Penta]].'' | : ''For extensions, see [[Gamelismic clan #Gidorah]] and [[Mint temperaments #Penta]].'' | ||
Named by [[John Moriarty]], university is the 5 & 6b temperament, and tempers out [[144/125]], the triptolemaic diminished third. It corresponds to ''n'' = −3/2 and ''m'' = 3/5. In this temperament, two instances of [[6/5]] make a [[5/4]], and three make a [[3/2]]. Equating 6/5 with [[8/7]] (which makes sense since it is already very flat in the most accurate tunings of this temperament) leads to [[Gamelismic clan #Gidorah|gidorah]], and 6/5 with [[7/6]] leads to [[Mint temperaments #Penta|penta]]. | |||
[[Subgroup]]: 2.3.5 | [[Subgroup]]: 2.3.5 | ||
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[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[CTE]]: ~2 = 1200.000, ~6/5 = 226.980 | |||
: [[error map]]: {{val| 0.000 -21.014 +67.647 }} | |||
* [[POTE]]: ~2 = 1200.000, ~6/5 = 235.442 | * [[POTE]]: ~2 = 1200.000, ~6/5 = 235.442 | ||
: error map: {{val| 0.000 +4.370 +84.569 }} | |||
{{Optimal ET sequence|legend=1| | {{Optimal ET sequence|legend=1| 1b, …, 4bc, 5 }} | ||
[[Badness]] (Smith): 0.101806 | [[Badness]] (Smith): 0.101806 | ||