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.
[[Badness]] (Sintel): 21.211
=== 23-limit ===


Subgroup: 2.3.5.7.11.13.17.19.23
== 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


Comma list: 2926/2925, 3136/3135, 5985/5984, 10626/10625, 12376/12375, 21736/21735, 256000/255879
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.


=== 29-limit ===
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 ==


Subgroup: 2.3.5.7.11.13.17.19.23.29
1125 & 2460, 23-limit.


Comma list: 2926/2925, 3136/3135, 5104/5103, 5985/5984, 12376/12375, 21736/21735, 10626/10625, 256000/255879
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 ==


Mapping: [{{val|3 6 19 30 35 36 29 18 31 19}}, {{val|0 -9 -87 -156 -178 -180 -121 -38 -126 -32}}]
Described as the 1178 & 7334 temperament in the 19-limit.


Mapping generators: ~63/50 = 1\3, ~4725/4576 = 55.330
== Cadmium ==
Described as the 624 & 4320 temperament upwards to the 23-limit.


== Point Zero Seven ==
In the 23-limit, the gen is mapped to [[70/69]].
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
== 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


Comma list: 81/80, 121500/117649
Subgroup: 2.3.5.7.11


Mapping: [1 2 4 4], [0 -6 -24 -17]
Comma list: 781258401/781250000, 110341894140625/110336743047168, 3590222893590025814933504/3589489938459262943851245


Optimal tuning (CTE): ~21/20 = 83.888
Mapping: [{{val|69 0 4316 -2431 8769}}, {{val|0 1 -38 24 -78}}]


Vals: 14, 43, 100
Mapping generators: ~100/99, ~3


== Playing cards ==
{{Optimal ET sequence|legend=1| 759, 7797 }}
''Work in progress''
== 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.
== Rutherfordium ==
Rutherfordium is described as the 624 & 4472 temperament in the 23-limit.


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