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?" | ||
'''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''. | ||
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}) | |||
Revision as of 04:22, 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?"
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})