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Compton family: Difference between revisions

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→Decades: rename to gamelstearn as discussed on XA Discord
m →Gamelstearn: Add link to Stearnsma
 
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{{Mapping|legend=1| 12 19 0 -22 | 0 0 1 2 }}
{{Mapping|legend=1| 12 19 0 -22 | 0 0 1 2 }}
{{Multival|legend=1| 0 12 24 19 38 22 }}


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
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Mapping: {{mapping| 12 19 0 -22 -42 | 0 0 1 2 3 }}
Mapping: {{mapping| 12 19 0 -22 -42 | 0 0 1 2 3 }}
Wedgie: {{Multival| 0 12 24 36 19 38 57 22 42 18 }}


Optimal tunings:  
Optimal tunings:  
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Mapping: {{mapping| 12 19 0 -22 -42 -67 | 0 0 1 2 3 4 }}
Mapping: {{mapping| 12 19 0 -22 -42 -67 | 0 0 1 2 3 4 }}
Wedgie: {{Multival| 0 12 24 36 48 19 38 57 76 22 42 67 18 46 33 }}


Optimal tunings:  
Optimal tunings:  
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Mapping: {{mapping| 12 19 0 -22 -42 100 | 0 0 1 2 3 -2 }}
Mapping: {{mapping| 12 19 0 -22 -42 100 | 0 0 1 2 3 -2 }}
Wedgie: {{Multival| 0 12 24 36 -24 19 38 57 -38 22 42 -100 18 -156 -216 }}


Optimal tunings:  
Optimal tunings:  
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: mapping generators: ~16/15, ~7
: mapping generators: ~16/15, ~7
{{Multival|legend=1| 0 0 12 0 19 28 }}


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
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: mapping generators: ~36/35, ~5
: mapping generators: ~36/35, ~5
{{Multival|legend=1| 0 24 -24 38 -38 -123 }}


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
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* CTE: ~36/35 = 50.000, ~5/4 = 384.226 (~121/120 = 15.774)
* CTE: ~36/35 = 50.000, ~5/4 = 384.226 (~121/120 = 15.774)
* POTE: ~36/35 = 50.000, ~5/4 = 384.054 (~121/120 = 15.946)
* POTE: ~36/35 = 50.000, ~5/4 = 384.054 (~121/120 = 15.946)
{{Multival|legend=1| 0 24 -24 0 38 -38 0 -123 -83 83 }}


{{Optimal ET sequence|legend=1| 24, 48, 72, 312bd, 384bcdd, 456bcdde, 528bcdde }}
{{Optimal ET sequence|legend=1| 24, 48, 72, 312bd, 384bcdd, 456bcdde, 528bcdde }}
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* CTE: ~36/35 = 50.000, ~5/4 = 385.420 (~121/120 = 14.580)
* CTE: ~36/35 = 50.000, ~5/4 = 385.420 (~121/120 = 14.580)
* POTE: ~36/35 = 50.000, ~5/4 = 384.652 (~121/120 = 15.348)
* POTE: ~36/35 = 50.000, ~5/4 = 384.652 (~121/120 = 15.348)
{{Multival|legend=1| 0 24 -24 0 24 38 -38 0 38 -123 -83 -33 83 156 83 }}


{{Optimal ET sequence|legend=1| 24, 48f, 72, 168df, 240dff }}
{{Optimal ET sequence|legend=1| 24, 48f, 72, 168df, 240dff }}
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== Gamelstearn ==
== Gamelstearn ==
The gamelstearn temperament has a period of 1/36 octave and tempers out the [[gamelisma]] (1029/1024) and the stearnsma (118098/117649).  
The gamelstearn temperament has a period of 1/36 octave and tempers out the [[gamelisma]] (1029/1024) and the [[stearnsma]] (118098/117649).  


It used to be named "decades".
It used to be named "decades".
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: mapping generators: ~49/48, ~5
: mapping generators: ~49/48, ~5
{{Multival|legend=1| 0 36 0 57 0 -101 }}


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
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: mapping generators: ~100/99, ~13
: mapping generators: ~100/99, ~13
{{Multival|legend=1| 0 0 0 0 72 0 0 0 114 0 0 167 0 202 249 }}


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
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[[Category:Temperament families]]
[[Category:Temperament families]]
[[Category:Pages with mostly numerical content]]
[[Category:Compton family| ]] <!-- main article -->
[[Category:Compton family| ]] <!-- main article -->
[[Category:Compton| ]] <!-- key article -->
[[Category:Compton| ]] <!-- key article -->
[[Category:Rank 2]]
[[Category:Rank 2]]
Retrieved from "https://en.xen.wiki/w/Compton_family"