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User:Eliora/Proposed concept names: Difference between revisions

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== 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 ==
== Phosphorus ==


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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.
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 ==


== Francium ==
Described as the 1178 & 7334 temperament in the 19-limit.
Francium tempers out the 87-126/125 comma and the euzenius comma in the 7-limit.


http://x31eq.com/cgi-bin/rt.cgi?ets=783_9744&limit=7
== Cadmium ==
Described as the 624 & 4320 temperament upwards to the 23-limit.


== Polonium ==
In the 23-limit, the gen is mapped to [[70/69]].
Polonium is described as the 1848 & 14196 tmeperament. It tempers out the 11-limit comma which sets 43\84 to [[77/54]].


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


== Point Zero Seven ==
Subgroup: 2.3.5.7.11
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: 781258401/781250000,  110341894140625/110336743047168, 3590222893590025814933504/3589489938459262943851245


Comma list: 81/80, 121500/117649
Mapping: [{{val|69 0 4316 -2431 8769}}, {{val|0 1 -38 24 -78}}]


Mapping: [1 2 4 4], [0 -6 -24 -17]
Mapping generators: ~100/99, ~3


Optimal tuning (CTE): ~21/20 = 83.888
{{Optimal ET sequence|legend=1| 759, 7797 }}


{{Optimal ET sequence|legend=1| 14, 43, 100 }}
== Rutherfordium ==
Rutherfordium is described as the 624 & 4472 temperament in the 23-limit.


== Playing cards ==
== Seaborgium ==
''Work in progress''
Named after the 106th element, most likely 2756 & 3498 in the 23-limit, but other options are likely.
== 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.
== Kells ==
436 & 981 temperament.


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


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.


{{Optimal ET sequence|legend=1| 759, 7797 }}
== Unpentennium ==
Described as the 795 & 3498 temperament and splits the octave into 159.
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