User:FloraC/Sandbox: Difference between revisions
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[[Eigenmonzo]]s: 2, 5 | [[Eigenmonzo]]s: 2, 5 | ||
| Range = Valid range: [694.737, 700.000] (19 to 12) | | Range = Valid range: [694.737, 700.000] (19 to 12) | ||
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Strict range: [694.786, 700.000] | Strict range: [694.786, 700.000] | ||
| Algebraic = 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 = 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. | ||
| Vals = 12, 19, 31, 81, 112b, 143b | | Vals = 12, 19, 31, 81, 112b, 143b | ||
| Badness = 0.0137 | | Badness = 0.0137 | ||
}} | }} | ||
Comment: doesn't actually look great | |||
== Test [[User:FloraC/Collapsed box]] == | == Test [[User:FloraC/Collapsed box]] == | ||
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<references/> | <references/> | ||
}} | }} | ||
{{User:FloraC/Collapsed box | {{User:FloraC/Collapsed box|title = Technical data |text = | ||
| title = Technical data | |||
| text = | |||
Comma list: 81/80, 126/125 | |||
Mapping | [[Mapping]]: [{{val| 1 0 -4 -13 }}, {{val| 0 1 4 10 }}] | ||
Mapping generators: ~2, ~3 | |||
[{{ | [[Wedgie]]: {{wedgie| 1 4 10 4 13 12 }} | ||
[[ | [[Minimax tuning]]: | ||
[[ | * 7- and [[9-odd-limit]] | ||
: [{{Monzo| 1 0 0 0 }}, {{Monzo| 1 0 1/4 0 }}, {{Monzo| 0 0 1 0 }}, {{Monzo| -3 0 5/2 0 }}] | |||
: [[Eigenmonzo]]s: 2, 5 | |||
Nice range: [694.786, 701.955] | [[Tuning ranges of regular temperaments|Tuning ranges]]: | ||
* Valid range: [694.737, 700.000] (19 to 12) | |||
Strict range: [694.786, 700.000] | * Nice range: [694.786, 701.955] | ||
* Strict range: [694.786, 700.000] | |||
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 | [[Val]]s: 12, 19, 31, 81, 112b, 143b | ||
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[[Badness]]: 0.0137 | [[Badness]]: 0.0137 | ||
}} | }} | ||
Comment: This provides much more freedom. Looks great to me by this very formatting. | |||
Note: | |||
# Order: comma list, mapping, mapping generators (or simply "generators", this is the same thing), wedgie, minimax tuning, tuning ranges, algebraic generator, vals, badness, complexity spectrum. | |||
# 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. | |||
# Minimax tuning are based on tonality diamond, so it should explicitly state the ''odd'' limit, or a diamond function of ratios. | |||
== Commas == | == Commas == | ||