Wizard: Difference between revisions

m Interval chain: I missed a ratio
Expand
Line 1: Line 1:
'''Wizard''' is a half-octave [[regular temperament|temperament]] that [[tempering out|tempers out]] the commas [[225/224]] and [[stearnsma|118098/117649]] in the [[7-limit]]. It is most naturally viewed as a temperament of the 2.3.5.7.11.17 [[subgroup]], where it tempers out 225/224, [[289/288]], [[385/384]], and [[561/560]].  
'''Wizard''' is a half-octave [[regular temperament|temperament]] [[generator|generated]] by a wide whole tone of about 217 cents which is the semi-octave complement of [[~]][[5/4]]. Six generators minus a semi-octave represents [[3/2]], and ten generators minus a full octave represents [[7/4]], [[tempering out]] the commas [[225/224]] and [[stearnsma|118098/117649]]. It is most naturally viewed as a temperament of the 2.3.5.7.11.17 [[subgroup]], where it tempers out 225/224, [[289/288]], [[385/384]], and [[561/560]].  


See [[Marvel temperaments #Wizard]] for technical data.  
See [[Marvel temperaments #Wizard]] for technical data.