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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


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


1125 & 2460, 23-limit.
[[Mapping]]: {{mapping| 13 0 92 -355 | 0 5 12 14 -16 }}
: Mapping generators: ~1375/1296, ~243/200


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.
[[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 }}


== Francium ==
{{Optimal ET sequence|legend=1| 60, 444, 384 }}
Francium tempers out the [[euzenius comma]] and the 87-126/125 comma in the 7-limit, hereby dividing the octave into 87 parts.


Subgroup: 2.3.5.7
[[Badness]] (Sintel): 21.211


Comma list: 78125000/78121827, {{monzo|152 -112 -41 43}}
== 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|87 1 -106 -406}}, {{val|0 4 9 19}}]
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: ~126/125 = 1\87, ~{{monzo|37 -25 -12 11}} = 472.043
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 ==


=== 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.
== Strontium ==


Comma list: 78125000/78121827, 199297406/199290375, {{monzo|74 -17 -5 -4 -7}}
Described as the 1178 & 7334 temperament in the 19-limit.


Mapping: [[{{val|87 1 -106 -406 1225}}, {{val|0 4 9 19 -27}}]
== Cadmium ==
Described as the 624 & 4320 temperament upwards to the 23-limit.


Mapping generators: ~126/125 = 1\87, ~103079215104/78466609375 = 472.043
In the 23-limit, the gen is mapped to [[70/69]].


== Polonium ==
== Thulium ==
Polonium is described as the 1848 & 14196 tmeperament. It tempers out the 11-limit comma which sets 43\84 to [[77/54]].
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


http://x31eq.com/cgi-bin/rt.cgi?ets=1848_14196&limit=11
Subgroup: 2.3.5.7.11


== Point Zero Seven ==
Comma list: 781258401/781250000, 110341894140625/110336743047168, 3590222893590025814933504/3589489938459262943851245
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
Mapping: [{{val|69 0 4316 -2431 8769}}, {{val|0 1 -38 24 -78}}]


Comma list: 81/80, 121500/117649
Mapping generators: ~100/99, ~3


Mapping: [1 2 4 4], [0 -6 -24 -17]
{{Optimal ET sequence|legend=1| 759, 7797 }}


Optimal tuning (CTE): ~21/20 = 83.888
== Rutherfordium ==
Rutherfordium is described as the 624 & 4472 temperament in the 23-limit.


{{Optimal ET sequence|legend=1| 14, 43, 100 }}
== Seaborgium ==
Named after the 106th element, most likely 2756 & 3498 in the 23-limit, but other options are likely.


== Playing cards ==
== Kells ==
''Work in progress''
436 & 981 temperament.
== 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.
== Meitnerium ==
981 & 3706 temperament.


== Thulium ==
== Copernicium ==
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 112th element.


Subgroup: 2.3.5.7.11
1904 & 3920 temperament.
== Tenessine ==


Comma list: 781258401/781250000, 110341894140625/110336743047168, 3590222893590025814933504/3589489938459262943851245
Described as the 234 & 1053 temperament, defined by tempering together the septimal ennealimma and the aluminium comma.


Mapping: [{{val|69 0 4316 -2431 8769}}, {{val|0 1 -38 24 -78}}]
== Unpentennium ==
 
Described as the 795 & 3498 temperament and splits the octave into 159.
Mapping generators: ~100/99, ~3
 
{{Optimal ET sequence|legend=1| 759, 7797 }}
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