Very high accuracy temperaments: Difference between revisions

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== Whoosh ==
== Whoosh ==
Whoosh temperament (152&289) tempers out the whoosh comma, {{Monzo|37 25 -33}} (saletrigu). 7-limit extensions of the whoosh temperament include [[Porwell temperamtents #Whoosh|whoosh]].
Whoosh temperament (152&289) tempers out the whoosh comma, {{Monzo|37 25 -33}} (saletrigu). 7-limit extensions of the whoosh temperament include [[Porwell temperaments #Whoops|whoops]].


Subgroup: 2.3.5
Subgroup: 2.3.5
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== Gross ==
== Gross ==
Gross temperament (118&1783) tempers out the gross comma, {{Monzo|144 -22 -47}}, by which a stack of 22 [[tritave]]s (third harmonic) and 47 [[5/1|pentave]]s (fifth harmonic) falls short of 144 (gross) octaves.
Subgroup: 2.3.5
Subgroup: 2.3.5


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Mapping: [{{val| 1 -2 4 }}, {{val| 0 47 -22 }}]
Mapping: [{{val| 1 -2 4 }}, {{val| 0 47 -22 }}]


POTE generator: ~1953125000000000/1853020188851841 = 91.5310
POTE generator: ~1953125000000000/1853020188851841 = 91.531001


Vals: {{Val list| 118, 1783, 1901, 3684, 5467, 5585, 7250 }}
Vals: {{Val list| 118, 957, 1075, 1193, 1311, 1429, 1547, 1665, 1783, 3684, 5467 }}


Badness: 0.0463
Badness: 0.046315


== Raider ==
== Raider ==