32nd-octave temperaments: Difference between revisions
Cmloegcmluin (talk | contribs) "optimal GPV sequence" → "optimal ET sequence", per Talk:Optimal_ET_sequence |
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The temperament is called windrose because there are 32 cardinal directions commonly assigned to a compass rose. It is defined as the 608 & 1600 temperament. The [[maximal evenness]] pattern created inside the period is a 12L 7s, if mapped to a keyboard, which has a 2/3 step ratio and thus offers elegant microtempering that plays with the [[just noticeable difference]]. | The temperament is called windrose because there are 32 cardinal directions commonly assigned to a compass rose. It is defined as the 608 & 1600 temperament. The [[maximal evenness]] pattern created inside the period is a 12L 7s, if mapped to a keyboard, which has a 2/3 step ratio and thus offers elegant microtempering that plays with the [[just noticeable difference]]. | ||
Subgroup: 2.3.5.7 | [[Subgroup]]: 2.3.5.7 | ||
Comma list: {{monzo| 38 9 -8 -12 }}, {{monzo| 15 -28 32 -16 }} | [[Comma list]]: {{monzo| 38 9 -8 -12 }}, {{monzo| 15 -28 32 -16 }} | ||
Mapping | [[Mapping]]: [{{val| 32 44 68 89 }}, {{val| 0 16 15 2 }}] | ||
: mapping generators: ~4084101/4000000 = 1\32, ~48828125/46294416 = 90.749 | |||
Optimal tuning (CTE): ~48828125/46294416 = 90.749 | |||
== Germanium == | == Germanium == | ||