User:Eliora/Proposed concept names: Difference between revisions

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== Tritonopod ==
== Luminance (tuning) ==
Period-35, 17 generators are equal to 7/5, 18 generators are equal to 10/7.  
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


== Playing cards ==
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.
It is the 31-limit temperament defined as 2860 & 3224 by tempering out the 2.29.31 [-5 -52 52] comma, which sets a stack of 52 31/29s equal to 5 octaves.


Since it is conceived in the 31-limit, it makes no sense to define it for smaller subgroups.
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: 2.3.5.7.11.13.17.19.23.29.31
1125 & 2460, 23-limit.


Comma list: ...
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: ...
Described as the 1178 & 7334 temperament in the 19-limit.


Optimal tuning (CTE): ~?
== Cadmium ==
Described as the 624 & 4320 temperament upwards to the 23-limit.


== Binilnilium ==
In the 23-limit, the gen is mapped to [[70/69]].
Named after the provisional name for the 200th element, tempers out the 200-comma ([-317 200>) and the ragisma (4375/4374).


== Nuclear matter ==
== Thulium ==
Defined as the 22 & 69 temperament, and the comma in the 5-limit is [-41, 1, 17⟩. The name comes from the fact that nuclear matter density is 4.1 * 10^17 kg/m^3.
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
Subgroup: 2.3.5.7.11


Comma list: [-41, 1, 17⟩
Comma list: 781258401/781250000, 110341894140625/110336743047168, 3590222893590025814933504/3589489938459262943851245


Optimal tuning (CTE): ~5/4
Mapping: [{{val|69 0 4316 -2431 8769}}, {{val|0 1 -38 24 -78}}]


Vals: 22, 69
Mapping generators: ~100/99, ~3


== Berkelium ==
{{Optimal ET sequence|legend=1| 759, 7797 }}
Named after the 97th element.


Subgroup: 2.3.5.7.11.13
== Rutherfordium ==
Rutherfordium is described as the 624 & 4472 temperament in the 23-limit.


Comma list: 4375/4374, 405769/405504, 1063348/1063125, ...
== Seaborgium ==
Named after the 106th element, most likely 2756 & 3498 in the 23-limit, but other options are likely.


Mapping generators: ~144/143, ~3/2
== Kells ==
436 & 981 temperament.


Optimal tuning (CTE): ~3/2 = 701.945
== Meitnerium ==
981 & 3706 temperament.


EDOs: 388, 2619, ...
== Copernicium ==
Named after the 112th element.


== Point Zero Seven ==
1904 & 3920 temperament.
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 aligns with the badness of JI of the scale.
== Tenessine ==


Subgroup: 2.3.5.7
Described as the 234 & 1053 temperament, defined by tempering together the septimal ennealimma and the aluminium comma.


Comma list: 81/80, 121500/117649
== Unpentennium ==
 
Described as the 795 & 3498 temperament and splits the octave into 159.
Mapping: [1 2 4 4], [0 -6 -24 -17]
 
Optimal tuning (CTE): ~21/20 = 83.888
 
Vals: 14, 43, 100
 
== Mabon ==
Named after the celebration of the autumn equinox, and defined as the 11 & 62 temperament in the 2.9.7, since the 11/62 solar calendar leap rule representes the autumn equinox. Three below 600c generators amount to 16/9.
 
Subgroup: 2.9.7
 
Comma list: 44957696/43046721
 
Sval mapping: [1 1 -3], [0 3 8]
 
Optimal tuning (CTE): ~729/448 = 870.792
 
Vals: 11, 29, 40, 51, 62, ...
 
=== 11-limit ===
In the 11-limit, the 11th harmonic plus an octave is reached by stacking two 16/11.
 
Subgroup: 2.9.7.11
 
Comma list: 896/891, 1331/1296
 
Sval mapping: [1 1 -3 2], [0 3 8 2]
 
Optimal tuning (CTE): ~18/11