User:Eliora/Proposed concept names: Difference between revisions

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== Keenanose ==
== Luminance (tuning) ==
Named like [[commatose]], except the generator is the keenanisma. Defined as 270 & 1619.
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


=== 11-limit ===
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.
Subgroup: 2.3.5.7.11
 
Comma list: 4375/4374, 151263/151250, 67110351/67108864
 
Mapping: 1 2 3 3 3, 0 -112 -183 -52 124
 
Optimal tuning (CTE): ~385/384 = 4.447


Vals: 270, 539, 1619
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 ==


=== 13-limit ===
1125 & 2460, 23-limit.
Subgroup: 2.3.5.7.11.13


Comma list: 4225/4224, 4375/4374, 6656/6655, 151263/151250
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: 1 2 3 3 3 3, 0 -112 -183 -52 124 189
Described as the 1178 & 7334 temperament in the 19-limit.


Optimal tuning (CTE): ~385/384 = 4.447
== Cadmium ==
Described as the 624 & 4320 temperament upwards to the 23-limit.


Vals: 270, 539, 1619
In the 23-limit, the gen is mapped to [[70/69]].


== Ravine ==
== Thulium ==
Defined as the 832 & 1619 temperament.
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


=== 11-limit ===
Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11


Comma list: 514714375/514434888, 117440512/117406179, 1220703125/1219784832
Comma list: 781258401/781250000, 110341894140625/110336743047168, 3590222893590025814933504/3589489938459262943851245
 
Mapping: 1 26 21 27 -21, 0 -549 -420 -544 550
 
Optimal tuning (CTE): ~33/32 = 53.366
 
=== 13-limit ===
Subgroup: 2.3.5.7.11.13
 
Comma list: 196625/196608, 200000/199927, 2912000/2910897, 3764768/3764475
 
Mapping: 1 26 21 27 -21 21, 0 -549 -420 -544 550 -389
 
Optimal tuning (CTE): ~33/32 = 53.366
 
== Surmarvelpyth ==
Named because the generator fifth is 225/224 sharp of 3/2. Defined as the 311 & 742 temperament to the 19-limit.
 
=== 19-limit ===
Subgroup: 2.3.5.7.11.13.17.19
 
Comma list: 2926/2925, 4096/4095, 3136/3135, 12376/12375, 5985/5984, 11016/11011
 
Mapping:
 
Optimal tuning (CTE): ~675/448 = 709.972


== Protactinium ==
Mapping: [{{val|69 0 4316 -2431 8769}}, {{val|0 1 -38 24 -78}}]
Defined as a 364 & 1547 temperament, has a period of 91, hence named after the 91st element.


=== 13-limit ===
Mapping generators: ~100/99, ~3
Subgroup: 2.3.5.7.11.13


Comma list: 4096/4095, 91125/91091, 2912000/2910897, 369754/369603
{{Optimal ET sequence|legend=1| 759, 7797 }}


Mapping: 91 91 371 149 581 390, 0 1 -3 -2 -5 -1
== Rutherfordium ==
Rutherfordium is described as the 624 & 4472 temperament in the 23-limit.


Mapping generators: ~1728/1715, ~3/2
== Seaborgium ==
Named after the 106th element, most likely 2756 & 3498 in the 23-limit, but other options are likely.


Optimal tuning (CTE): ~3/2 = 702.020c
== Kells ==
436 & 981 temperament.


=== 17-limit ===
== Meitnerium ==
Subgroup: 2.3.5.7.11.13.17
981 & 3706 temperament.


Comma list: 4096/4095, 14400/14399, 42500/42471, 75735/75712, 2100875/2100384
== Copernicium ==
Named after the 112th element.


Mapping: 91 91 371 149 581 390 159, 0 1 -3 -2 -5 -1 4
1904 & 3920 temperament.
== Tenessine ==


Mapping generators: ~3773/3744, ~3/2
Described as the 234 & 1053 temperament, defined by tempering together the septimal ennealimma and the aluminium comma.


Optimal tuning (CTE): ~3/2 = 702.027c
== Unpentennium ==
Described as the 795 & 3498 temperament and splits the octave into 159.