41st-octave temperaments: Difference between revisions
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{{Fractional-octave navigation|41}} | {{Fractional-octave navigation|41}} | ||
[[ | [[Countercomp family|Countercomp temperaments]] are a notable subset of 41st-octave temperaments which have a page of their own. | ||
Therefore, this page collects different 41st-octave temperaments. | Therefore, this page collects different 41st-octave temperaments. | ||
==Niobium== | == Niobium == | ||
Niobium can be viewed as the 41st-octave counterpart of atomic. The temperament also maps 2657205/2097152 into 14\41. | Niobium can be viewed as the 41st-octave counterpart of atomic. The temperament also maps 2657205/2097152 into 14\41. | ||
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{{Mapping|legend=1| 41 0 875 | 0 1 -12 }} | {{Mapping|legend=1| 41 0 875 | 0 1 -12 }} | ||
:mapping generators: ~{{monzo| -64 36 3 }}, ~3 | |||
: mapping generators: ~{{monzo| -64 36 3 }}, ~3 | |||
[[Optimal tuning]] ([[CTE]]): ~{{monzo| -64 36 3 }} = 1\41, ~3/2 = 701.9536 | [[Optimal tuning]] ([[CTE]]): ~{{monzo| -64 36 3 }} = 1\41, ~3/2 = 701.9536 | ||
Revision as of 09:58, 29 March 2024
Template:Fractional-octave navigation Countercomp temperaments are a notable subset of 41st-octave temperaments which have a page of their own.
Therefore, this page collects different 41st-octave temperaments.
Niobium
Niobium can be viewed as the 41st-octave counterpart of atomic. The temperament also maps 2657205/2097152 into 14\41.
Subgroup: 2.3.5
Comma list: [-875 492 41⟩
Mapping: [⟨41 0 875], ⟨0 1 -12]]
- mapping generators: ~[-64 36 3⟩, ~3
Optimal tuning (CTE): ~[-64 36 3⟩ = 1\41, ~3/2 = 701.9536
Optimal ET sequence: 41, …, 2378, 2419, 2460, 4961, 7421, 17302, 24723, 66748, 91471, 116194
Badness: 5.57