User:2^67-1/Proposed names for RTs

Revision as of 04:22, 5 July 2024 by 2^67-1 (talk | contribs) (More temperaments)

Pakkanian Hemipyth (done), 2.3.11.13/5.17 {221/220, 243/242, 289/288}. Essentially an answer to Frostburn's question "Is there a rank-2 temperament with a fancy subgroup where √2 ~ 17/12, √3/2 ~ 11/9 and √4/3 ~ 15/13 without further contortion of the generator or does that necessarily happen?"

Null temperament (WIP), any subgroup, comma list is all the primes in said subgroup. A 0-dimensional temperament. Names proposed include cypher and devnull.

7-limit temperametns with different subgroups:

  • 4.6.5.7
    • Vigesimal (4.6.5.7 {25/24, 49/48})
    • Tetradominant (4.6.5.7 {36/35, 64/63})
    • Tetraugene (4.6.5.7 {64/63, 126/125})
  • 4.9.25.49
    • Centesimal (4.9.25.49 {625/576, 2401/2304})
    • Supertonic (4.9.25.49 {1296/1225, 4096/3969})
    • Macrowholetone (4.9.25.49 {4096/3969, 15876/15625})