Delta centauri: Difference between revisions

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'''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 a fraction of a cent, though just 5/3 or slightly-sharp 5/3 will work too.  It is an [[efficient]] [[microtemperament]] with sub-cent error on the 5th and 11th harmonics in optimal tunings.
'''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 a fraction of a cent, though just 5/3 or slightly-sharp 5/3 will work too.  It is a fairly low-complexity [[microtemperament]] with sub-cent error on the 5th and 11th harmonics in optimal tunings.
[[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 20:21, 6 October 2026

Lua error in Module:Infobox_regtemp at line 138: attempt to perform arithmetic on local 'generator_size' (a nil value). 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 a fraction of a cent, though just 5/3 or slightly-sharp 5/3 will work too. It is a fairly low-complexity microtemperament with sub-cent error on the 5th and 11th harmonics in optimal tunings.