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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 1259 & 3125 temperament.
384p & 324p, 11-limit.


== Mercury ==
[[Subgroup]]: 2.3.5.7.11
Defined as 720 & 1600, and named after the 80th element.


Subgroup: 2.3.5
[[Comma list]]: 26411/26244, 250047/250000, 2097152/2096325


Comma list: [-1377 400 320]
[[Mapping]]: {{mapping| 13 0 92 -355 | 0 5 12 14 -16 }}
: Mapping generators: ~1375/1296, ~243/200


Mapping: 80 1 343, 0 4 -5
[[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 tuning (CTE): ~5575186299632655785383929568162090376495104/4246015611240964662632904946804046630859375 = 471.738
{{Optimal ET sequence|legend=1| 60, 444, 384 }}


=== 7-limit ===
[[Badness]] (Sintel): 21.211
Subgroup: 2.3.5.7


Comma list: 31528360107421875/31525197391593472, 3671492030322070514237964288/3666984506893654025644140625
== 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


Mapping: 80 1 343 -27, 0 4 -5 8
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.


Mapping generators: ~31637227888/31381059609, ~7381125/5619712
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 ==


Optimal tuning (CTE): ~7381125/5619712 = 471.734
1125 & 2460, 23-limit.
 
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 ==
 
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


=== 11-limit ===
Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11


Comma list: 9801/9800, 928760463360/928426965851, 68116944363978752/68116827392578125
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 }}
 
== Rutherfordium ==
Rutherfordium is described as the 624 & 4472 temperament in the 23-limit.
 
== Seaborgium ==
Named after the 106th element, most likely 2756 & 3498 in the 23-limit, but other options are likely.


Mapping: lalala don't care
== Kells ==
436 & 981 temperament.


Optimal tuning (CTE): ~2278125/1734656 = 471.734
== Meitnerium ==
981 & 3706 temperament.


=== 13-limit ===
== Copernicium ==
Subgroup: 2.3.5.7.11.13
Named after the 112th element.


Comma list: 9801/9800, 4100625/4100096, 14236560/14235529, 143327232/143286143
1904 & 3920 temperament.
== Tenessine ==


Mapping: lalala don't care
Described as the 234 & 1053 temperament, defined by tempering together the septimal ennealimma and the aluminium comma.


Optimal tuning (CTE): ~2278125/1734656 = 471.734
== Unpentennium ==
Described as the 795 & 3498 temperament and splits the octave into 159.
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