User:Eliora/Proposed concept names: Difference between revisions

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-== Prequartismic ==
+== Anemoian (name later to be changed) ==
-Named because 3125edo was the only one confirmed for tempering out the quartisma before it's discovery as significance of the difference between 5 33/32s and 7/6. Defined as the 1259e & 3125 temperament, but in terms of patent vals it can also be described as 3125 & 4991 or 3125 & 1866.
+p & 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 ==
+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]].
+== Phosphorus ==
+& 2460, 23-limit.
+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 ==
+Described as the 1178 & 7334 temperament in the 19-limit.
+== Cadmium ==
+Described as the 624 & 4320 temperament upwards to the 23-limit.
+In the 23-limit, the gen is mapped to [[70/69]].
+== Thulium ==
+https://sintel.pythonanywhere.com/result?subgroup=11&reduce=on&tenney=on&target=&edos=&commas=%5B-4%2C+2%2C+-11%2C+2%2C+6%3E%0D%0A%5B-21%2C+-14%2C+8%2C+10%2C+-1%3E%0D%0A%5B-25%2C+-12%2C+-3%2C+12%2C+5%3E%0D%0A%5B-17%2C+-16%2C+19%2C+8%2C+-7%3E%0D%0A%5B-29%2C+-10%2C+-14%2C+14%2C+11%3E%0D%0A%5B55%2C+-50%2C+-1%2C+7%2C+2%3E&submit_comma=submit
 Subgroup: 2.3.5.7.11
-Comma list: [24, -6, 0, 1, -5⟩, [-1, 4, 11, -11, 0⟩, [-19 -25 14  13 -3⟩
+Comma list: 781258401/781250000,  110341894140625/110336743047168, 3590222893590025814933504/3589489938459262943851245
+Mapping: [{{val|69 0 4316 -2431 8769}}, {{val|0 1 -38 24 -78}}]
+Mapping generators: ~100/99, ~3
+{{Optimal ET sequence|legend=1| 759, 7797 }}
-Mapping: to be filled in
+== Rutherfordium ==
+Rutherfordium is described as the 624 & 4472 temperament in the 23-limit.
-Optimal tuning (CTE): ~64/33 = 1146.624
+== Seaborgium ==
+Named after the 106th element, most likely 2756 & 3498 in the 23-limit, but other options are likely.
-Vals: 1259e, 1866, 3125, 4384e, 4991, 6250e, 8116d, 7509ee, 9375e, 11241de
+== Kells ==
+& 981 temperament.
-=== 13-limit ===
+== Meitnerium ==
-Subgroup: 2.3.5.7.11.13
+& 3706 temperament.
-Comma list: 1990656/1990625, 14236560/14235529, 117440512/117406179, 1181640625/1181599328
+== Copernicium ==
+Named after the 112th element.
-Mapping:  to be filled in
+& 3920 temperament.
+== Tenessine ==
-Optimal tuning (CTE): ~64/33 = 1146.624
+Described as the 234 & 1053 temperament, defined by tempering together the septimal ennealimma and the aluminium comma.
-== 1619edo test ==
+== Unpentennium ==
+Described as the 795 & 3498 temperament and splits the octave into 159.