Carlos Alpha: Difference between revisions

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equal steps and the fifth in 9.003464 equal steps of 77.964990{{cent}} each<ref>Dave Benson, ''Music: A Mathematical Offering'', pp. 232-233.</ref>. It is thus very close to the [[EDF|equal division of the just perfect fifth]] into nine parts of 77.995{{cent}} each ([[9edf|9ed3/2]]), corresponding to 15.3856[[edo]].
equal steps and the fifth in 9.003464 equal steps of 77.964990{{cent}} each<ref>Dave Benson, ''Music: A Mathematical Offering'', pp. 232-233.</ref>. It is thus very close to the [[EDF|equal division of the just perfect fifth]] into nine parts of 77.995{{cent}} each ([[9edf]]), corresponding to 15.3856[[edo]].


Carlos Alpha is very closely related to [[Starling temperaments #Valentine temperament|valentine temperament]]. For a list of 11-limit [[dyadic chord]]s of Carlos Alpha, see [[Chords of valentine]].
Carlos Alpha is very closely related to [[Starling temperaments #Valentine temperament|valentine temperament]]. For a list of 11-limit [[dyadic chord]]s of Carlos Alpha, see [[Chords of valentine]].
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It has a very good representation of the 7:8:10:11:12 chord from the [[harmonic series]].
It has a very good representation of the 7:8:10:11:12 chord from the [[harmonic series]].


Sequence of edos with lower and lower relative error: {{EDOs| 15, 31, 46, 77, 354 }}.  
Sequence of edos with lower and lower relative error: {{EDOs| 15, 31, 46, 77, 354 }}.


== Intervals ==
== Intervals ==