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

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**Supertonic (4.9.25.49 {1296/1225, 4096/3969})
**Supertonic (4.9.25.49 {1296/1225, 4096/3969})
**Macroaugene (4.9.25.49 {4096/3969, 15876/15625})
**Macroaugene (4.9.25.49 {4096/3969, 15876/15625})
'''Osmicolian comma''': 12288/12005, a comma that came out of a diesis search I did for [[User:Godtone|Godtone]], and he noticed the comma first.

Revision as of 02:06, 17 July 2024

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?" 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})

Osmicolian comma: 12288/12005, a comma that came out of a diesis search I did for Godtone, and he noticed the comma first.