User:Eliora/Proposed concept names: Difference between revisions
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== Anemoian (name later to be changed) == | |||
384p & 324p, 11-limit. | |||
[[Subgroup]]: 2.3.5.7.11 | |||
[[Comma list]]: 26411/26244, 250047/250000, 2097152/2096325 | |||
[[Mapping]]: {{mapping| 13 0 92 -355 | 0 5 12 14 -16 }} | |||
: Mapping generators: ~1375/1296, ~243/200 | |||
[[Optimal tuning]]s: | |||
* [[WE]]: ~1375/1296 = 99.997{{c}}, ~243/200 = 340.539{{c}} | |||
: [[error map]]: {{val| -0.006 +0.038 -0.030 -0.013 }} | |||
* [[CWE]]: ~1375/1296 = 100{{c}}, ~243/200 = 340.549{{c}} | |||
: error map: {{val| 0.000, 0.788, 0.269, -1.146, -0.095 }} | |||
{{Optimal ET sequence|legend=1| 60, 444, 384 }} | |||
[[Badness]] (Sintel): 21.211 | |||
== Luminance (tuning) == | |||
https://www.wolframalpha.com/input?i=plot+sqrt%28%28RiemannSiegelZ%5B%282*pi*x%2Fln%282%29%29%5D%29%5E2%2B%28%28DivisorSum%5Bx%2C+%23+%26%5D-x%29%2Fx%29%5E2%29%2C+x+from+1+to+100 | |||
Luminance is a measure of an equal temperament based on both is [[abundancy index]] and [[zeta peak integer edo]] position. It is equal to sqrt(Z^2+A^2), where Z is the zeta value while A is the abundancy index. | |||
Increasingly larger luminance values: {{EDOs|2, 3, 5, 7, 10, 12, 22, 24, 31, 41, 53, 87, ...}} | |||
== Natrium == | == Natrium == | ||
The natrium tempers out the {{monzo|403 -77 -121}} comma in the 5-limit, not only splitting the octave in 11, but using [[1125/1024]] as a generator, eleven of which plus one step of [[11edo]] make [[3/1]]. | The natrium tempers out the {{monzo|403 -77 -121}} comma in the 5-limit, not only splitting the octave in 11, but using [[1125/1024]] as a generator, eleven of which plus one step of [[11edo]] make [[3/1]]. | ||
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1125 patent val branching tempers out the [[flashma]] and therefore is to be named white phosphorus, and 1125g val branching is to be named red phosphorus. | 1125 patent val branching tempers out the [[flashma]] and therefore is to be named white phosphorus, and 1125g val branching is to be named red phosphorus. | ||
== Strontium == | == Strontium == | ||
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== Cadmium == | == Cadmium == | ||
Described as the | Described as the 624 & 4320 temperament upwards to the 23-limit. | ||
In the 23-limit, the gen is mapped to [[70/69]]. | |||
== Thulium == | == Thulium == | ||
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{{Optimal ET sequence|legend=1| 759, 7797 }} | {{Optimal ET sequence|legend=1| 759, 7797 }} | ||
== Rutherfordium == | |||
Rutherfordium is described as the 624 & 4472 temperament in the 23-limit. | |||
== | |||
== Seaborgium == | == Seaborgium == | ||
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Named after the 112th element. | Named after the 112th element. | ||
1904 & 3920 temperament. | |||
== Tenessine == | |||
Described as the 234 & 1053 temperament, defined by tempering together the septimal ennealimma and the aluminium comma. | |||
== Unpentennium == | |||
Described as the 795 & 3498 temperament and splits the octave into 159. | |||