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 ==
Described as the 1178 & 7334 temperament in the 19-limit.
== Cadmium ==
Described as the 624 & 4320 temperament upwards to the 23-limit.


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


Subgroup: 2.3.5.7.11.13.17.19.23.29
Subgroup: 2.3.5.7.11


Comma list: 2926/2925, 3136/3135, 12376/12375, 5985/5984, 21736/21735, 10626/10625, 256000/255879
Comma list: 781258401/781250000, 110341894140625/110336743047168, 3590222893590025814933504/3589489938459262943851245


Mapping: [{{val|3 6 19 30 35 36 29 18 31}}, {{val|0 -9 -87 -156 -178 -180 -121 -38 -126}}]
Mapping: [{{val|69 0 4316 -2431 8769}}, {{val|0 1 -38 24 -78}}]


Mapping generators: ~63/50 = 1\3, ~4725/4576 = 55.330
Mapping generators: ~100/99, ~3


== Point Zero Seven ==
{{Optimal ET sequence|legend=1| 759, 7797 }}
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
== Rutherfordium ==
Rutherfordium is described as the 624 & 4472 temperament in the 23-limit.


Comma list: 81/80, 121500/117649
== Seaborgium ==
Named after the 106th element, most likely 2756 & 3498 in the 23-limit, but other options are likely.


Mapping: [1 2 4 4], [0 -6 -24 -17]
== Kells ==
436 & 981 temperament.


Optimal tuning (CTE): ~21/20 = 83.888
== Meitnerium ==
981 & 3706 temperament.


Vals: 14, 43, 100
== Copernicium ==
Named after the 112th element.


== Playing cards ==
1904 & 3920 temperament.
''Work in progress''
== Tenessine ==
== 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.
Described as the 234 & 1053 temperament, defined by tempering together the septimal ennealimma and the aluminium comma.


== Thulium ==
== Unpentennium ==
Period-69 temperament conceptualized as having a period of 100/99 and a generator of 3/2. Conceptualized as the 759(some kind of val) & 7797 temperament
Described as the 795 & 3498 temperament and splits the octave into 159.