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User:Eliora/Proposed concept names: Difference between revisions

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== Phosphorus ==
== Anemoian (name later to be changed) ==
384p & 324p, 11-limit.


1125 & 2460, 23-limit.
[[Subgroup]]: 2.3.5.7.11


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


== Polonium ==
[[Mapping]]: {{mapping| 13 0 92 -355 | 0 5 12 14 -16 }}
Polonium is described as the 1848 & 14196 tmeperament. It tempers out the 11-limit comma which sets 43\84 to [[77/54]].
: Mapping generators: ~1375/1296, ~243/200


http://x31eq.com/cgi-bin/rt.cgi?ets=1848_14196&limit=11
[[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 }}


== Noletaland ==
{{Optimal ET sequence|legend=1| 60, 444, 384 }}
Noletaland is described as 282 & 1323, and it combines the smallest consistent edo in the 29-odd-limit with the smallest uniquely consistent. It reaches 4/3 in nine generators ([[noleta]]-...) and tempers out the landscape comma (...-land). Noletaland reaches [[13/11]] in 2 generators, and [[29/19]] in 5. Then there's [[44/25]] in 4, and [[152/115]] in also 4.


Subgroup: 2.3.5.7.11.13.17
[[Badness]] (Sintel): 21.211


Comma list: 2058/2057, 12376/12375, 14875/14872, 43904/43875, 250047/250000
== 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: [{{val|3 6 19 30 35 36 29}}, {{val|0 -9 -87 -156 -178 -180 -121}}]
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: ~63/50 = 1\3, ~4725/4576 = 55.330
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): ~351/340 = 55.329
1125 & 2460, 23-limit.


=== 19-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 ==


Subgroup: 2.3.5.7.11.13.17.19
Described as the 1178 & 7334 temperament in the 19-limit.


Comma list: 2926/2925, 3136/3135, 5985/5984, 12376/12375, 14875/14872, 256000/255879
== Cadmium ==
Described as the 624 & 4320 temperament upwards to the 23-limit.


Mapping: [{{val|3 6 19 30 35 36 29 18}}, {{val|0 -9 -87 -156 -178 -180 -121 -38}}]
In the 23-limit, the gen is mapped to [[70/69]].


Mapping generators: ~63/50 = 1\3, ~4725/4576 = 55.330
== 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


Optimal tuning (CTE): ~351/340 = 55.329
Subgroup: 2.3.5.7.11


=== 23-limit ===
Comma list: 781258401/781250000,  110341894140625/110336743047168, 3590222893590025814933504/3589489938459262943851245


Subgroup: 2.3.5.7.11.13.17.19.23
Mapping: [{{val|69 0 4316 -2431 8769}}, {{val|0 1 -38 24 -78}}]


Comma list: 2926/2925, 3136/3135, 5985/5984, 10626/10625, 12376/12375, 21736/21735, 256000/255879
Mapping generators: ~100/99, ~3
 
Mapping: [{{val|3 6 19 30 35 36 29 18 31}}, {{val|0 -9 -87 -156 -178 -180 -121 -38 -126}}]
 
Mapping generators: ~63/50 = 1\3, ~4725/4576 = 55.330
 
Optimal tuning (CTE): ~4725/4576 = 55.330
 
=== 29-limit ===
 
Subgroup: 2.3.5.7.11.13.17.19.23.29
 
Comma list: 2926/2925, 3136/3135, 5104/5103, 5985/5984, 12376/12375, 21736/21735, 10626/10625, 256000/255879
 
Mapping: [{{val|3 6 19 30 35 36 29 18 31 19}}, {{val|0 -9 -87 -156 -178 -180 -121 -38 -126 -32}}]
 
Mapping generators: ~63/50 = 1\3, ~4725/4576 = 55.330
 
Optimal tuning (CTE): ~4725/4576 = 55.330
 
== Point Zero Seven ==
A meantone version of sextilififths that's quite bad at JI. Named because the generator is 7\100, and since the name sounds like an alcohol percentage, it corresponds to the "drunken and imprecise feel" of the badness of JI of the scale.
 
Subgroup: 2.3.5.7
 
Comma list: 81/80, 121500/117649
 
Mapping: [1 2 4 4], [0 -6 -24 -17]
 
Optimal tuning (CTE): ~21/20 = 83.888


Vals: 14, 43, 100
{{Optimal ET sequence|legend=1| 759, 7797 }}


== Playing cards ==
== Rutherfordium ==
''Work in progress''
Rutherfordium is described as the 624 & 4472 temperament in the 23-limit.
== Titanium II ==
https://sintel.pythonanywhere.com/result?subgroup=13&reduce=on&tenney=on&target=&edos=198+%26+1012&submit_edo=submit&commas=


198 & 1012 temperament.
== Seaborgium ==
Named after the 106th element, most likely 2756 & 3498 in the 23-limit, but other options are likely.


== Thulium ==
== Kells ==
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
436 & 981 temperament.


Subgroup: 2.3.5.7.11
== Meitnerium ==
981 & 3706 temperament.


Comma list: 781258401/781250000,  110341894140625/110336743047168, 3590222893590025814933504/3589489938459262943851245
== Copernicium ==
Named after the 112th element.


Mapping: [{{val|69 0 4316 -2431 8769}}, {{val|0 1 -38 24 -78}}]
1904 & 3920 temperament.
== Tenessine ==


Mapping generators: ~100/99, ~3
Described as the 234 & 1053 temperament, defined by tempering together the septimal ennealimma and the aluminium comma.


Vals: 759, 7797
== Unpentennium ==
Described as the 795 & 3498 temperament and splits the octave into 159.
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