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User:Eliora/Proposed concept names: Difference between revisions

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== Tritonopod ==
== Anemoian (name later to be changed) ==
Period-35, 17 generators are equal to 7/5, 18 generators are equal to 10/7.  
384p & 324p, 11-limit.


== Soviet Ferris wheel ==
[[Subgroup]]: 2.3.5.7.11
Defined as the 320 & 460 temperament, and named because it's a period-20 temperament, and there are 20 cabins on a standard ferris wheel found throughout most of Eastern Europe and Central Asia (as in abandoned Pripyat wheel, for example).


=== 17-limit ===
[[Comma list]]: 26411/26244, 250047/250000, 2097152/2096325
Subgroup: 2.3.5.7.11.13.17.19


Comma list: 833/832, 1001/1000, 1225/1224, 4225/4224, 4459/4455
[[Mapping]]: {{mapping| 13 0 92 -355 | 0 5 12 14 -16 }}
: Mapping generators: ~1375/1296, ~243/200


Mapping generators: ~88/85, ~238/165
[[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 }}


Optimal tuning (CTE): ~238/165 = 633.913
{{Optimal ET sequence|legend=1| 60, 444, 384 }}


Vals: 140, 320, 460
[[Badness]] (Sintel): 21.211


=== 19-limit ===
== Luminance (tuning) ==
Subgroup: 2.3.5.7.11.13.17.19
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: 833/832, 1001/1000, 1225/1224, 1729/1728, 2926/2925, 4459/4455
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: ~88/85, ~238/165
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 ==


Optimal tuning (CTE): ~238/165 = 633.913
1125 & 2460, 23-limit.


Vals: 140, 320, 460
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 ==


== Calcium ==
Described as the 1178 & 7334 temperament in the 19-limit.
A highly precise 2000 & 2460 temperament, named following the convention of naming some fractional-octave temperaments after chemical elements.


=== 23-limit ===
== Cadmium ==
Subgroup: 2.3.5.7.11.13.17.19.23
Described as the 624 & 4320 temperament upwards to the 23-limit.


Comma list: 9801/9800, 10626/10625, 12376/12375, 21505/21504, 21736/21735, 89376/89375, 123201/123200
In the 23-limit, the gen is mapped to [[70/69]].


Mapping generators: ~88/85, ~11875/10752
== 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


Optimal tuning (CTE): ~11875/10752 = 172.196
Subgroup: 2.3.5.7.11


Vals: 460, 2000, 2460
Comma list: 781258401/781250000, 110341894140625/110336743047168, 3590222893590025814933504/3589489938459262943851245


== Playing cards ==
Mapping: [{{val|69 0 4316 -2431 8769}}, {{val|0 1 -38 24 -78}}]
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.
Mapping generators: ~100/99, ~3


Subgroup: 2.3.5.7.11.13.17.19.23.29.31
{{Optimal ET sequence|legend=1| 759, 7797 }}


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


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


Optimal tuning (CTE): ~?
== Kells ==
436 & 981 temperament.


== Binilnilium ==
== Meitnerium ==
Named after the provisional name for the 200th element, tempers out the 200-comma ([-317 200>) and the ragisma (4375/4374).
981 & 3706 temperament.


== Nuclear matter ==
== Copernicium ==
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.
Named after the 112th element.


Subgroup: 2.3.5
1904 & 3920 temperament.
== Tenessine ==


Comma list: [-41, 1, 17⟩
Described as the 234 & 1053 temperament, defined by tempering together the septimal ennealimma and the aluminium comma.


Optimal tuning (CTE): ~5/4
== Unpentennium ==
 
Described as the 795 & 3498 temperament and splits the octave into 159.
Vals: 22, 69
 
== Berkelium ==
Named after the 97th element.
 
Subgroup: 2.3.5.7.11.13
 
Comma list: 4375/4374, 405769/405504, 1063348/1063125, ...
 
Mapping generators: ~144/143, ~3/2
 
Optimal tuning (CTE): ~3/2 = 701.945
 
EDOs: 388, 2619, ...
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