User:Eliora/Proposed concept names: Difference between revisions

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-== Tritonopod ==
+== Anemoian (name later to be changed) ==
-generator is equal to 50/49, 17 generators are equal to 7/5, 18 generators are equal to 10/7. Named because these steps oppose the tonic and look like legs on a circular diagram, thus meaning that the spoke shape created by periods has "tritone legs". Defined as the 140 & 525 temperament.
+p & 324p, 11-limit.
-Subgroup: 2.3.5.7
+[[Subgroup]]: 2.3.5.7.11
-Comma list: 703125/702464, 68719476736/68641485507
+[[Comma list]]: 26411/26244, 250047/250000, 2097152/2096325
-Mapping generators: ~50/49, ~262144/151263
+[[Mapping]]: {{mapping| 13 0 92 -355 | 0 5 12 14 -16 }}
+: Mapping generators: ~1375/1296, ~243/200
-Vals: 140, 525, 665
+[[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 }}
-=== 11-limit ===
+{{Optimal ET sequence|legend=1| 60, 444, 384 }}
-Subgroup: 2.3.5.7.11
-Comma list: 160083/160000, 180224/180075, 703125/702464
+[[Badness]] (Sintel): 21.211
-Mapping generators: ~50/49, ~400/231
+== 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
-Vals: ...
+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.
-=== 13-limit ===
+Increasingly larger luminance values: {{EDOs|2, 3, 5, 7, 10, 12, 22, 24, 31, 41, 53, 87, ...}}
-Subgroup: 2.3.5.7.11.13
+== 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 ==
-Comma list: 1716/1715, 4096/4095, 81675/81536, 40656/40625
+& 2460, 23-limit.
-Mapping generators: ~50/49, ~400/231
+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 ==
-Vals: ...
+Described as the 1178 & 7334 temperament in the 19-limit.
-== Chromium ==
+== Cadmium ==
-Defined as the 72 & 624 temperament, and named after 24th element for being period 24.
+Described as the 624 & 4320 temperament upwards to the 23-limit.
-=== 13-limit ===
+In the 23-limit, the gen is mapped to [[70/69]].
-Subgroup: 2.3.5.7.11.13
-Comma list: 1716/1715, 2080/2079, 34398/34375, 39366/39325
+== 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
-Mapping generators: ~250/243, ~10/7
+Subgroup: 2.3.5.7.11
-Vals: 72, 552, 624, ...
-=== 17-limit ===
-Subgroup: 2.3.5.7.11.13.17
-Comma list: 936/935, 1716/1715, 2080/2079, 2500/2499, 11016/11011
-Mapping generators: ~35/34, ~10/7
-Vals: 72, 552, 624, ...
-== Soviet Ferris wheel ==
-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 ===
-Subgroup: 2.3.5.7.11.13.17.19
-Comma list: 833/832, 1001/1000, 1225/1224, 4225/4224, 4459/4455
-Mapping generators: ~88/85, ~238/165
-Optimal tuning (CTE): ~238/165 = 633.913
-Vals: 140, 320, 460
-=== 19-limit ===
-Subgroup: 2.3.5.7.11.13.17.19
-Comma list: 833/832, 1001/1000, 1225/1224, 1729/1728, 2926/2925, 4459/4455
-Mapping generators: ~88/85, ~238/165
-Optimal tuning (CTE): ~238/165 = 633.913
-Vals: 140, 320, 460
-== Playing cards ==
+Comma list: 781258401/781250000,  110341894140625/110336743047168, 3590222893590025814933504/3589489938459262943851245
-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: [{{val|69 0 4316 -2431 8769}}, {{val|0 1 -38 24 -78}}]
-Subgroup: 2.3.5.7.11.13.17.19.23.29.31
+Mapping generators: ~100/99, ~3
-Comma list: ...
+{{Optimal ET sequence|legend=1| 759, 7797 }}
-Mapping: ...
+== Rutherfordium ==
+Rutherfordium is described as the 624 & 4472 temperament in the 23-limit.
-Optimal tuning (CTE): ~?
+== Seaborgium ==
+Named after the 106th element, most likely 2756 & 3498 in the 23-limit, but other options are likely.
-== Binilnilium ==
+== Kells ==
-Named after the provisional name for the 200th element, tempers out the 200-comma ([-317 200>) and the ragisma (4375/4374).
+& 981 temperament.
-== Nuclear matter ==
+== Meitnerium ==
-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.
+& 3706 temperament.
-Subgroup: 2.3.5
+== Copernicium ==
+Named after the 112th element.
-Comma list: [-41, 1, 17⟩
+& 3920 temperament.
+== Tenessine ==
-Optimal tuning (CTE): ~5/4
+Described as the 234 & 1053 temperament, defined by tempering together the septimal ennealimma and the aluminium comma.
-Vals: 22, 69
+== Unpentennium ==
+Described as the 795 & 3498 temperament and splits the octave into 159.