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

~~== Dzelic ==~~

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.

~~Named after the Slavic letter for 7, because it takes 7 generators~~ to ~~reach 3/~~2, ~~and~~ the ~~period~~ is ~~1/37th of the octave. Described as~~ the ~~296 & 1665 temperament~~.

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 ==

~~== Point Zero Seven ==~~

1125 & 2460, 23-limit.

~~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~~

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 ==

~~Comma list: 81/80, 121500/117649~~

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

~~Mapping: [1 2 4 4], [0~~ -~~6 -24 -17]~~

== Cadmium ==

Described as the 624 & 4320 temperament upwards to the 23-limit.

~~Optimal tuning (CTE): ~21~~/~~20 = 83~~.~~888~~

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

~~Vals~~: 14, 43, ~~100~~

== 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

Comma list: 781258401/781250000, 110341894140625/110336743047168, 3590222893590025814933504/3589489938459262943851245

~~== Lamina ==~~

Mapping: [{{val|69 0 4316 -2431 8769}}, {{val|0 1 -38 24 -78}}]

~~Leaves temperament in the 51L 1s 1~~|1 scale has a meantone fifth which is flat of 17edo fifth by a leaves' reduced generator. Lamina takes the said fifth and uses it as a generator. Name comes from the flat surface that makes up the texture of a leaf. Defined as 33 & 323 in the 17-~~limit, and with step size difference of around JND it can be treated as a barely noticeable well temperament for [[33edo]~~].

~~The fifth reaches 13~~/~~11 in 10 steps~~, ~~just as generator of lamina does. In addition, 21/16 is reached in 8 steps, 7/5 is reached in 13 steps, 16/15 is reached in 21 steps.~~

Mapping generators: ~100/99, ~3

=~~== Grand lamina ===~~

~~Grand lamina is defined as 257 & 2023, and it is a metatemperament for lamina~~, ~~with both having the same relationships in the 33-note MOS.~~

== ~~Tritonopod~~ ==

== Rutherfordium ==

~~''Period~~-~~35, 17 generators are equal to 7/5, 18 generators are equal to 10/7~~.''

Rutherfordium is described as the 624 & 4472 temperament in the 23-limit.

~~''Possibly rank~~-~~3?''~~

== Seaborgium ==

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

== ~~Playing cards~~ ==

== Kells ==

~~''Work in progress''~~

436 & 981 temperament.

~~== 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.

== Meitnerium ==

981 & 3706 temperament.

== ~~Thulium~~ ==

== Copernicium ==

~~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

Named after the 112th element.

1904 & 3920 temperament.

== Tenessine ==

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

== Unpentennium ==

Described as the 795 & 3498 temperament and splits the octave into 159.

@@ Line 1: / Line 1: @@
-.
+== 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
-== Dzelic ==
+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.
-Named after the Slavic letter for 7, because it takes 7 generators to reach 3/2, and the period is 1/37th of the octave. Described as the 296 & 1665 temperament.
+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 ==
-== Point Zero Seven ==
+& 2460, 23-limit.
-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
+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 ==
-Comma list: 81/80, 121500/117649
+Described as the 1178 & 7334 temperament in the 19-limit.
-Mapping: [1 2 4 4], [0 -6 -24 -17]
+== Cadmium ==
+Described as the 624 & 4320 temperament upwards to the 23-limit.
-Optimal tuning (CTE): ~21/20 = 83.888
+In the 23-limit, the gen is mapped to [[70/69]].
-Vals: 14, 43, 100
+== 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
+Comma list: 781258401/781250000,  110341894140625/110336743047168, 3590222893590025814933504/3589489938459262943851245
-== Lamina ==
+Mapping: [{{val|69 0 4316 -2431 8769}}, {{val|0 1 -38 24 -78}}]
-Leaves temperament in the 51L 1s 1|1 scale has a meantone fifth which is flat of 17edo fifth by a leaves' reduced generator. Lamina takes the said fifth and uses it as a generator. Name comes from the flat surface that makes up the texture of a leaf. Defined as 33 & 323 in the 17-limit, and with step size difference of around JND it can be treated as a barely noticeable well temperament for [[33edo]].
-The fifth reaches 13/11 in 10 steps, just as generator of lamina does. In addition, 21/16 is reached in 8 steps, 7/5 is reached in 13 steps, 16/15 is reached in 21 steps.
+Mapping generators: ~100/99, ~3
-=== Grand lamina ===
+{{Optimal ET sequence|legend=1| 759, 7797 }}
-Grand lamina is defined as 257 & 2023, and it is a metatemperament for lamina, with both having the same relationships in the 33-note MOS.
-== Tritonopod ==
+== Rutherfordium ==
-''Period-35, 17 generators are equal to 7/5, 18 generators are equal to 10/7.''
+Rutherfordium is described as the 624 & 4472 temperament in the 23-limit.
-''Possibly rank-3?''
+== Seaborgium ==
+Named after the 106th element, most likely 2756 & 3498 in the 23-limit, but other options are likely.
-== Playing cards ==
+== Kells ==
-''Work in progress''
+& 981 temperament.
-== Titanium II ==
-https://sintel.pythonanywhere.com/result?subgroup=13&reduce=on&tenney=on&target=&edos=198+%26+1012&submit_edo=submit&commas=
-& 1012 temperament.
+== Meitnerium ==
+& 3706 temperament.
-== Thulium ==
+== Copernicium ==
-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
+Named after the 112th element.
+& 3920 temperament.
+== Tenessine ==
+Described as the 234 & 1053 temperament, defined by tempering together the septimal ennealimma and the aluminium comma.
+== Unpentennium ==
+Described as the 795 & 3498 temperament and splits the octave into 159.