Hemififths: Difference between revisions
m style |
Cleanup on hatnote & infobox |
||
| (One intermediate revision by the same user not shown) | |||
| Line 1: | Line 1: | ||
{{About|the regular temperament|the irrational interval of a hemififth|Sqrt(3/2)}} | |||
{{Infobox regtemp | {{Infobox regtemp | ||
| Title = Hemififths | | Title = Hemififths | ||
| Subgroups = 2.3.5.7, 2.3.5.7.11, 2.3.5.7.11.13 | | Subgroups = 2.3.5.7, 2.3.5.7.11, 2.3.5.7.11.13 | ||
| Comma basis = [[2401/2400]], [[5120/5103]] ( | | Comma basis = [[2401/2400]], [[5120/5103]] (7-limit); <br> [[243/242]], [[441/440]], [[896/891]] (11-limit); <br>[[144/143]], [[196/195]], [[243/242]], [[364/363]] (13-limit) | ||
| | | Edo join 1 = 41 | Edo join 2 = 58 | ||
| Mapping = 1; 2 25 13 5 -1 | | Mapping = 1; 2 25 13 5 -1 | ||
| Generators = 49/40 | |||
| Generators tuning = 351.5 | |||
| Optimization method = CWE | |||
| Pergen = (P8, P5/2) | | Pergen = (P8, P5/2) | ||
| MOS scales = [[3L 4s]], [[7L 3s]], [[7L 10s]], [[17L 7s]], [[17L 24s]] | | MOS scales = [[3L 4s]], [[7L 3s]], [[7L 10s]], [[17L 7s]], [[17L 24s]] | ||
| Odd limit 1 = 9 | Mistuning 1 = 1.90 | Complexity 1 = 41 | | Odd limit 1 = 9 | Mistuning 1 = 1.90 | Complexity 1 = 41 | ||
| Odd limit 2 = 13-limit 21 | Mistuning 2 = 7.77 | Complexity 2 = 41 | | Odd limit 2 = 13-limit 21 | Mistuning 2 = 7.77 | Complexity 2 = 41 | ||
}} | }} | ||
'''Hemififths''' is a [[regular temperament|temperament]] that uses a neutral third as a [[generator]], just as the name suggests. A stack of 13 generators represents [[7/4]] and a stack of 25 generators represents [[5/4]], [[tempering out]] the breedsma, [[2401/2400]], and the argent comma, [[5120/5103]]. | '''Hemififths''' is a [[regular temperament|temperament]] that uses a neutral third as a [[generator]], just as the name suggests. A stack of 13 generators represents [[7/4]] and a stack of 25 generators represents [[5/4]], [[tempering out]] the breedsma, [[2401/2400]], and the argent comma, [[5120/5103]]. | ||