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

From Xenharmonic Wiki
Jump to navigation Jump to search
2^67-1 (talk | contribs)
mNo edit summary
2^67-1 (talk | contribs)
mNo edit summary
Line 17: Line 17:
'''Kompasretning''', 19-limit rank-3 temperament tempering out 289/288, 442/441, 561/560, 676/675, 1088/1083.
'''Kompasretning''', 19-limit rank-3 temperament tempering out 289/288, 442/441, 561/560, 676/675, 1088/1083.


'''Spepes''', 103-limit 25p&36p rank-2 temperament. Also supported by 61p.
'''Spepes''', 103-limit 25&36 rank-2 temperament. Also supported by 61edo.

Revision as of 00:25, 23 March 2025

Pakkanian Hemipyth, 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?" Note that this was derived by CompactStar before me, totally independently.

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 temperaments 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
    • Supertonic (4.9.25.49 {1296/1225, 4096/3969})
    • Macroaugene (4.9.25.49 {4096/3969, 15876/15625})

Midnatssol, 17-limit rank-3 temperament tempering out 289/288, 442/441, 561/560, 676/675

Kompasretning, 19-limit rank-3 temperament tempering out 289/288, 442/441, 561/560, 676/675, 1088/1083.

Spepes, 103-limit 25&36 rank-2 temperament. Also supported by 61edo.