User:Eliora/Proposed concept names: Difference between revisions

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== Helvetic ==
Described as the 311 & 2554 temperament in the 41-odd-limit, due to +41 being the calling code for Switzerland, and that's efficiency. 311edo is the smallest consistent edo in the 41-odd-limit, and 2554edo is the smallest distinctly consistent.
Subgroup: 2.3.5.7.11.13.17.19.23.29.31.37.41
Mapping:
{| class="wikitable"
!
!2
!3
!5
!7
!11
!13
!17
!19
!23
!29
!31
!37
!41
!
|-
|[ ⟨
|1
| -19
|28
|27
| -41
| -38
|46
|26
| -48
| -50
| -62
|45
|53
|]
|-
|⟨
|0
|194
| -242
| -228
|419
|393
| -395
| -205
|495
|517
|631
| -375
| -449
|] ⟩
|}
Supporting ETs: 311, 1932eijk, 2243e, 2554, 3176gm


== Natrium ==
== Natrium ==

Revision as of 22:49, 15 July 2023

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.

Scandium

Described as the 2730 & 2877 temperament, and tempers out the [1480 -903 -21 comma in the 5-limit. Defined upwards to the 13-limit.

Strontium

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

Cadmium

Described as the 1776 & 3072 temperament in the 11-limit, and reaches both 7/5 and 11/7 in one generator.

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 sequence759, 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.

Polonium

Polonium is described as the 1848 & 14196 tmeperament. It tempers out the 11-limit comma which sets 43\84 to 77/54.

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

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 & 2725 temperament.

Copernicium

Named after the 112th element.

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