10th-octave temperaments: Difference between revisions
→Neon: explain what exactly makes this notable |
Review, switch to Sintel's badness, WE & CWE tunings |
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== Neon == | == Neon == | ||
Neon tempers out {{monzo| 21 60 -50 }} in the 5-limit, equating [[3125/2916]] with one step of 10edo. Neon extensions discussed elsewhere include [[deca]], [[calcium]], and [[zinc]]. | Neon tempers out {{monzo| 21 60 -50 }} in the 5-limit, equating [[3125/2916]] with one step of 10edo. It was named by [[Eliora]] in 2023 after the 10th element. Neon extensions discussed elsewhere include [[deca]], [[calcium]], and [[zinc]]. | ||
[[Subgroup]]: 2.3.5 | [[Subgroup]]: 2.3.5 | ||
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{{Mapping|legend=1| 10 4 9 | 0 5 6 }} | {{Mapping|legend=1| 10 4 9 | 0 5 6 }} | ||
: Mapping generators: ~3125/2916, {{monzo| 10 29 -24 }} | : Mapping generators: ~3125/2916, {{monzo| 10 29 -24 }} | ||
[[Optimal tuning]] | [[Optimal tuning]]s: | ||
* [[WE]]: ~3125/2916 = 119.9999{{c}}, {{monzo| 10 29 -24 }} = 284.3890{{c}} | |||
: [[error map]]: {{val| -0.001 -0.011 +0.019 }} | |||
* [[CWE]]: ~3125/2916 = 120.0000{{c}}, {{monzo| 10 29 -24 }} = 284.3891{{c}} | |||
: error map: {{val| 0.000 -0.010 +0.021 }} | |||
{{Optimal ET sequence|legend=1| 80, 190, 270, 460, 730, 1730, 2460, 3190, 5650 }} | {{Optimal ET sequence|legend=1| 80, 190, 270, 460, 730, 1730, 2460, 3190, 5650 }} | ||
[[Badness]]: | [[Badness]] (Sintel): 4.85 | ||
{{Navbox fractional-octave}} | {{Navbox fractional-octave}} | ||
[[Category:10edo]] | [[Category:10edo]] | ||