41edo: Difference between revisions

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== Octave stretch or compression ==
== Octave stretch or compression ==
Whether there is intonational improvement from [[stretched and compressed tuning|octave stretch or compression]] depends on which subgroup we are focusing on.  
Whether there is intonational improvement from [[stretched and compressed tuning|octave stretch or compression]] depends on which [[subgroup]] of [[JI]] we are focusing on.  


For the 5- and 7-limit, a moderately stretched 41edo tuning is advised, such as the 7-limit [[WE]] or [[TE]] tuning for 41et.
For the 5-, 7-, 29- or 31-limit, a moderately stretched 41edo tuning is advised, such as the 7-limit [[WE]] or [[TE]] tuning for 41et.


For the 11-limit, a slightly stretched 41edo tuning is advised, such as [[zpi|184zpi]].
For the 11- or 23-limit, a slightly stretched 41edo tuning is advised, such as [[zpi|184zpi]].


For the 13-limit, pure-octaves 41edo is advised.
For the 13- or 19-limit, pure-octaves 41edo is advised.


For the 17-limit, a slightly compressed 41edo tuning is advised, such as [[24edf]], [[65edt]], [[106ed6]] or [[147ed12]].
For the 17-limit, a slightly compressed 41edo tuning is advised, such as [[24edf]], [[65edt]], [[106ed6]] or [[147ed12]].