User:2^67-1/Proposed names for RTs: Difference between revisions
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'''Pakkanian Hemipyth''' ([[Subgroup temperaments|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?" | '''Pakkanian Hemipyth''' ([[Subgroup temperaments|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''. | '''Null temperament''' (WIP), any subgroup, comma list is all the primes in said subgroup. A 0-dimensional temperament. Names proposed include ''cypher'' and ''devnull''. | ||
Revision as of 08:23, 5 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})