User:Eliora/Proposed concept names

Pseudovishnuzma

Comma: 6106906624/6103515625

Name reasoning: The denominator is the same as for vishnuzma, numerator is close, yet it's different.

Temperaments:

Rank 2: 1261 & 1789 (2.5.7.11.13), 1236 & 764, 1236 & 1084, 1236 & 441, 764 & 1084, 1236 & 87

Major Arcana JI scale (detempering of 22edo)

A Factor 9-Grid style detempering, where in the first octave which goes from A = 432 Hz to A = 864 Hz all frequency values are integers.

Step	Card	Frequency	JI ratio
0	The Fool	432	1/1
1		448
2		464
3		486
4		495
5		504	7/6
6		513	19/16
7		540
8		558
9		576
10		594
11		612
12		630
13		648
14		672
15		696
16		720
17		744
18		768
19		792
20		816
21		840
22		864	2/1

Thulium

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.

Nuclear matter

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.

Subgroup: 2.3.5

Comma list: [-41, 1, 17⟩

Optimal tuning (CTE): ~5/4

Vals: 22, 69

Berkelium (two varieties)

A remarkable high-limit temperament, extended as high as the 29-limit owing to the fact that both 388edo and 2619edo are consistent that high. Named after the 97th element.

Variety 1: 388 & 2619

Subgroup: 2.3.5.7.11.13

Comma list: 4375/4374, 405769/405504, 1063348/1063125, ...

Mapping generators: ~144/143, ~3/2

Optimal tuning (CTE): ~3/2 = 701.945

EDOs: 388, 2619, ...

Variety 2: 388 & 3395

...

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

Vals: 14, 43, 100

Leaves

Defined as the 323 & 2023 temperament, and also as the no-11s temperament, because both 323edo and 2023edo have a bad 11th harmonic.

Subgroup: 2.3.5.7

Comma list: -21 11  10 -7, 31 28 -24 -7

Mapping: 17 10 31 9, 0 14 7 32

Mapping generators: ~25/24, ~6125/5832

Optimal tuning (CTE): ~6125/5832 = 85.427

Vals: 323, 1700, 2023

2.3.5.7.13 subgroup

Subgroup: 2.3.5.7.13

Comma list: 1990656/1990625, 3502727631/3500000000, 134521003125/134296804096

Sval mapping:

Sval maping generators: ~25/24, ~1024/975

Optimal tuning (CTE): ~1024/975 = ...

2.3.5.7.13.17 subgroup

9 periods and 2 generators correspond to 17/13.

Subgroup:

Comma list: 57375/57344, 111537/111475, 4860000/4857223, 340075827/340000000

Sval mapping: 17 10 31 9 98 107, 0 14 7 32 -29 -31

Sval mapping generators: ~25/24, ~765/728

Optimal tuning (CTE): ~765/728 = 85.424

Tritonopod

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

Possibly rank-3?

Playing cards

Work in progress