User:2^67-1/Proposed names for RTs: Difference between revisions
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'''[[Subgroup temperaments|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. | '''[[Subgroup temperaments#Pakkanian hemipyth|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''. | '''Null temperament''' (WIP), any subgroup, comma list is all the primes in said subgroup. A 0-dimensional temperament. Names proposed include ''cypher'' and ''devnull''. | ||
'''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. | |||
'''Chaozhou-alphornsmic''', 2.3.11.59 temperament tempering out 649/648. | |||
'''Arc''', an abbreviation of alphorn-rastmic-chaozhou, 2.3.11.59 temperament tempering out 243/242 and 649/648. | |||
'''Ultracolia''', the 2.3.5.7.11.13.59 temperament which is greenland, chaozhou-alphornsmic, and tempers out the interval between 7/1 and five 59/40s. | |||
''' | '''Neujahr''' or '''Xinnian''', the 7 & 335 temperament in 2.3.5.11. Named because I discovered it just after the New Year and its proximity to the Just Intonation line in the whitewood-dicot-rastmic equivalence continuum. | ||
''' | '''Ramity''', the 7&106 temperament in 2.3.5.11. Named for its proximity to the just Intonation line in the whitewood-syntonic-quartertone (33/32) equivalence continuum. | ||
'''Hyperdichotic''', the 7&10&342 temperament in 2.3.5.7.11. | |||
''' | '''Hypertriforce''', the 9&24&159 temperament in 2.3.5.7.11. | ||
''' | '''Polyraider''', the q34&q5746 temperament in 30.2.3.11.f2.f3.f6. | ||
''' | '''Tienhsia''', the 7&140 temperament in the 11-limit. Literally meaning ''under heaven'' in Wade-Giles romanized Mandarin, it is a reference to Southern Chinese and Taiwanese 七平均律 (similar to 7-tone equal temperament) and the fact that [[140edo]] is a very good 11-limit temperament. | ||
Latest revision as of 04:18, 17 August 2026
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.
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.
Chaozhou-alphornsmic, 2.3.11.59 temperament tempering out 649/648.
Arc, an abbreviation of alphorn-rastmic-chaozhou, 2.3.11.59 temperament tempering out 243/242 and 649/648.
Ultracolia, the 2.3.5.7.11.13.59 temperament which is greenland, chaozhou-alphornsmic, and tempers out the interval between 7/1 and five 59/40s.
Neujahr or Xinnian, the 7 & 335 temperament in 2.3.5.11. Named because I discovered it just after the New Year and its proximity to the Just Intonation line in the whitewood-dicot-rastmic equivalence continuum.
Ramity, the 7&106 temperament in 2.3.5.11. Named for its proximity to the just Intonation line in the whitewood-syntonic-quartertone (33/32) equivalence continuum.
Hyperdichotic, the 7&10&342 temperament in 2.3.5.7.11.
Hypertriforce, the 9&24&159 temperament in 2.3.5.7.11.
Polyraider, the q34&q5746 temperament in 30.2.3.11.f2.f3.f6.
Tienhsia, the 7&140 temperament in the 11-limit. Literally meaning under heaven in Wade-Giles romanized Mandarin, it is a reference to Southern Chinese and Taiwanese 七平均律 (similar to 7-tone equal temperament) and the fact that 140edo is a very good 11-limit temperament.