Semicomma family: Difference between revisions

Phase out wedgies
 
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{{Mapping|legend=1| 1 0 3 1 | 0 7 -3 8 }}
{{Mapping|legend=1| 1 0 3 1 | 0 7 -3 8 }}
{{Multival|legend=1| 7 -3 8 -21 -7 27 }}


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
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* [[7-odd-limit]]: ~7/6 = {{monzo| 2/11 0 -1/11 1/11 }}
* [[7-odd-limit]]: ~7/6 = {{monzo| 2/11 0 -1/11 1/11 }}
: {{monzo list| 1 0 0 0 | 14/11 0 -7/11 7/11 | 27/11 0 3/11 -3/11 | 27/11 0 -8/11 8/11 }}
: {{monzo list| 1 0 0 0 | 14/11 0 -7/11 7/11 | 27/11 0 3/11 -3/11 | 27/11 0 -8/11 8/11 }}
: [[Eigenmonzo basis|eigenmonzo (unchanged-interval) basis]]: 2.7/5
: [[Eigenmonzo basis|unchanged-interval (eigenmonzo) basis]]: 2.7/5
* [[9-odd-limit]]: ~7/6 = {{monzo| 3/17 2/17 -1/17 }}
* [[9-odd-limit]]: ~7/6 = {{monzo| 3/17 2/17 -1/17 }}
: {{monzo list| 1 0 0 0 | 21/17 14/17 -7/17 0 | 42/17 -6/17 3/17 0 | 41/17 16/17 -8/17 0 }}
: {{monzo list| 1 0 0 0 | 21/17 14/17 -7/17 0 | 42/17 -6/17 3/17 0 | 41/17 16/17 -8/17 0 }}
: [[Eigenmonzo basis|eigenmonzo (unchanged-interval) basis]]: 2.9/5
: [[Eigenmonzo basis|unchanged-interval (eigenmonzo) basis]]: 2.9/5


[[Tuning ranges]]:
[[Tuning ranges]]:
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* 11-odd-limit: ~7/6 = {{monzo| 2/11 0 -1/11 1/11 }}
* 11-odd-limit: ~7/6 = {{monzo| 2/11 0 -1/11 1/11 }}
: [{{monzo| 1 0 0 0 0 }}, {{monzo| 14/11 0 -7/11 7/11 0 }}, {{monzo| 27/11 0 3/11 -3/11 0 }}, {{monzo| 27/11 0 -8/11 8/11 0 }}, {{monzo| 37/11 0 -2/11 2/11 0 }}]
: [{{monzo| 1 0 0 0 0 }}, {{monzo| 14/11 0 -7/11 7/11 0 }}, {{monzo| 27/11 0 3/11 -3/11 0 }}, {{monzo| 27/11 0 -8/11 8/11 0 }}, {{monzo| 37/11 0 -2/11 2/11 0 }}]
: Eigenmonzo (unchanged-interval) basis: 2.7/5
: Unchanged-interval (eigenmonzo) basis: 2.7/5


Tuning ranges:
Tuning ranges:
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{{Mapping|legend=1| 1 0 3 -11 | 0 7 -3 61 }}
{{Mapping|legend=1| 1 0 3 -11 | 0 7 -3 61 }}
{{Multival|legend=1| 7 -3 61 -21 77 150 }}


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
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: mapping generators: ~2, ~448/375
: mapping generators: ~2, ~448/375
{{Multival|legend=1| 21 -9 -7 -63 -70 9 }}


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
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: mapping generators: ~2, ~8/7
: mapping generators: ~2, ~8/7
{{Multival|legend=1| 28 -12 1 -84 -77 36 }}


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
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: mapping generators: ~2, ~2625/2048
: mapping generators: ~2, ~2625/2048
{{Multival|legend=1| 35 -15 9 -105 -84 63 }}


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
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: mapping generators: ~2, ~405/392
: mapping generators: ~2, ~405/392
{{Multival|legend=1| 35 -15 62 -105 0 186 }}


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
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[[Category:Temperament families]]
[[Category:Temperament families]]
[[Category:Pages with mostly numerical content]]
[[Category:Semicomma family| ]] <!-- main article -->
[[Category:Semicomma family| ]] <!-- main article -->
[[Category:Rank 2]]
[[Category:Rank 2]]
[[Category:Orson]]
[[Category:Orson]]
[[Category:Orwell]]
[[Category:Orwell]]