User:Eliora/Proposed concept names: Difference between revisions

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{| class="wikitable"
== 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
| -octave
| -octave
| -octave
|}


== (name to be decided) ==
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.
Described as the 36 & 1092 temperament, and is named after a conworld where this is the predominating tuning system.


Increasingly larger luminance values: {{EDOs|2, 3, 5, 7, 10, 12, 22, 24, 31, 41, 53, 87, ...}}
== Natrium ==
== 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]].
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]].
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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.
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.
== Scandium ==
Described as the 2730 & 2877 temperament, and tempers out the {{monzo|1480 -903 -21}} comma in the 5-limit. Defined upwards to the 13-limit.
== Strontium ==
== Strontium ==


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== Cadmium ==
== Cadmium ==
Described as the 1776 & 3072 temperament in the 11-limit, and reaches both 7/5 and 11/7 in one generator.
Described as the 624 & 4320 temperament upwards to the 23-limit.
 
In the 23-limit, the gen is mapped to [[70/69]].


== Thulium ==
== Thulium ==
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{{Optimal ET sequence|legend=1| 759, 7797 }}
{{Optimal ET sequence|legend=1| 759, 7797 }}
== Gold ==


Described as a 1106 & 1817 temperament, and with an extension for the 2.3.5.7.11.13.17.37 subgroup which sets [[39/37]] to 6 steps of 79edo.
== Rutherfordium ==
Rutherfordium is described as the 624 & 4472 temperament in the 23-limit.


== Polonium ==
== Seaborgium ==
Polonium is described as the 1848 & 14196 tmeperament. It tempers out the 11-limit comma which sets 43\84 to [[77/54]].
Named after the 106th element, most likely 2756 & 3498 in the 23-limit, but other options are likely.


http://x31eq.com/cgi-bin/rt.cgi?ets=1848_14196&limit=11
== Kells ==
436 & 981 temperament.


== Seaborgium ==
== Meitnerium ==
Named after the 106th element, most likely 2756 & 3498 in the 23-limit, but other options are likely.
981 & 3706 temperament.


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


Possible supporting vals: 1680, 1680d, 2016, 3920, ...
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.

Latest revision as of 00:01, 17 March 2024

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

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.

Increasingly larger luminance values: 2, 3, 5, 7, 10, 12, 22, 24, 31, 41, 53, 87, ...

Natrium

The natrium tempers out the [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

1125 & 2460, 23-limit.

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

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

Cadmium

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

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

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

Mapping: [⟨69 0 4316 -2431 8769], ⟨0 1 -38 24 -78]]

Mapping generators: ~100/99, ~3

Optimal ET sequence: 759, 7797

Rutherfordium

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

Seaborgium

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

Kells

436 & 981 temperament.

Meitnerium

981 & 3706 temperament.

Copernicium

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.

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