Delta centauri: Difference between revisions
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| Subgroups = 3.5.11 | | Subgroups = 3.5.11 | ||
| Comma basis = [[1953125/1948617]] | | Comma basis = [[1953125/1948617]] | ||
| Edo join 1 = | | Edo join 1 = b28 | Edo join 2 = b71 | ||
| Mapping = 1; 1 9 | | Mapping = 1; 1 9 | ||
| Generators = 5/3 | | Generators = 5/3 | ||
| Generators tuning = 883.9 | |||
}} | }} | ||
'''Delta Centauri''' is the [[non-octave]] [[regular temperament|temperament]] of the [[3.5.11 subgroup]] that [[tempering out|tempers out]] the 4-cent comma, [[1953125/1948617]]. This temperament is generated by an almost-just [[5/3]] and stacking it nine times and tritave-reducing reaches the representation of [[11/9]]. Basically it is a slightly-tempered [[3.5 subgroup]]. The best tuning is to flatten 5/3 by | '''Delta Centauri''' is the [[non-octave]] [[regular temperament|temperament]] of the [[3.5.11 subgroup]] that [[tempering out|tempers out]] the 4-cent comma, [[1953125/1948617]]. This temperament is generated by an almost-just [[5/3]] and stacking it nine times and tritave-reducing reaches the representation of [[11/9]]. Basically it is a slightly-tempered [[3.5 subgroup]]. The best tuning is to flatten 5/3 by around half a cent, though just 5/3 or slightly-sharp 5/3 will work too. It is a [[microtemperament]] with sub-cent error on the 5th and 11th harmonics in optimal tunings, and fairly low [[complexity]] as far as microtemperaments go. | ||
[[Category:Delta Centauri| ]] <!-- main article --> | [[Category:Delta Centauri| ]] <!-- main article --> | ||
[[Category:Rank-2 temperaments]] | [[Category:Rank-2 temperaments]] | ||
[[Category:Non-octave temperaments]] | [[Category:Non-octave temperaments]] | ||
Revision as of 20:24, 6 October 2026
| Delta Centauri |
Delta Centauri is the non-octave temperament of the 3.5.11 subgroup that tempers out the 4-cent comma, 1953125/1948617. This temperament is generated by an almost-just 5/3 and stacking it nine times and tritave-reducing reaches the representation of 11/9. Basically it is a slightly-tempered 3.5 subgroup. The best tuning is to flatten 5/3 by around half a cent, though just 5/3 or slightly-sharp 5/3 will work too. It is a microtemperament with sub-cent error on the 5th and 11th harmonics in optimal tunings, and fairly low complexity as far as microtemperaments go.