User:Eliora/Proposed concept names

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.

Francium

Francium tempers out the euzenius comma and the 87-126/125 comma in the 7-limit, hereby dividing the octave into 87 parts.

Subgroup: 2.3.5.7

Comma list: 78125000/78121827, [152 -112 -41 43⟩

Mapping: [[⟨87 1 -106 -406], ⟨0 4 9 19]]

Mapping generators: ~126/125 = 1\87, ~[37 -25 -12 11⟩ = 472.043

11-limit

Subgroup: 2.3.5.7.11

Comma list: 78125000/78121827, 199297406/199290375, [74 -17 -5 -4 -7⟩

Mapping: [[⟨87 1 -106 -406 1225], ⟨0 4 9 19 -27]]

Mapping generators: ~126/125 = 1\87, ~103079215104/78466609375 = 472.043

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

Point Zero Seven

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

Comma list: 81/80, 121500/117649

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

Optimal tuning (CTE): ~21/20 = 83.888

Optimal ET sequence: 14, 43, 100

Playing cards

Work in progress

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.

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