User:FloraC/Sandbox: Difference between revisions

No edit summary
Line 106: Line 106:
: [[Eigenmonzo]]s: 2, 5
: [[Eigenmonzo]]s: 2, 5


[[Tuning ranges of regular temperaments|Tuning ranges]]:  
[[Tuning ranges]]:  
* Valid range: [694.737, 700.000] (19 to 12)
* Valid range: [694.737, 700.000] (19 to 12)
* Nice range: [694.786, 701.955]
* Nice range: [694.786, 701.955]
Line 113: Line 113:
Algebraic generator: Cybozem, the real root of 15''x''<sup>3</sup> - 10''x''<sup>2</sup> - 18, which comes to 503.4257 cents. The recurrence converges quickly.
Algebraic generator: Cybozem, the real root of 15''x''<sup>3</sup> - 10''x''<sup>2</sup> - 18, which comes to 503.4257 cents. The recurrence converges quickly.


[[Val]]s: 12, 19, 31, 81, 112b, 143b
{{EDOs|legend=1| 12, 19, 31, 81, 112b, 143b }}


[[Badness]]: 0.0137
[[Badness]]: 0.0137
Line 124: Line 124:
# Comma list shows the simplest commas sufficient to define the temperament. This must be stated somewhere in this wiki.  
# Comma list shows the simplest commas sufficient to define the temperament. This must be stated somewhere in this wiki.  
# Mapping generators should show all the ratios as used in the mapping, including the period.  
# Mapping generators should show all the ratios as used in the mapping, including the period.  
# Minimax tuning are based on tonality diamond, so it should explicitly state the ''odd'' limit, or a diamond function of ratios.  
# Minimax tuning are based on tonality diamond, so it should explicitly state the ''odd'' limit, or a diamond function of ratios.
# EDO template. It shows "EDOs" currently but we might switch to "Vals" later by changing the template.


== Commas ==
== Commas ==