Pi-edo: Difference between revisions

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-{{stub}}
+{{Novelty}}
+{{#invoke:Infobox_ET|infobox_ET|tuning=1ed697/559|Prime factorization=|Zeta=|Consistency=|Distinct consistency=|debug= }}
+'''π-edo''', '''1ed2<sup>1/π</sup>''', or '''APS(1/π oct)''' is a nonoctave [[equal-step tuning]] in which π steps occur per [[octave]]. It does not approximate any simple [[harmonic]]s well, except for the [[3/1|3rd harmonic]]. In fact, it is nearly identical to [[5edt]]. This lends the tuning to use with custom inharmonic timbres. It has the potential to facilitate music far removed from any conventional harmonic or melodic traditions.
-{{Infobox ET|1ed697/559}}
+== Harmonics ==
-'''Pi-EDO''', or '''3.141...EDO''' is a nonoctave [[equal-step tuning]] in which ''pi'' number of steps occur per octave. It does not approximate any simple harmonics well, except for the 3rd harmonic. This lends the tuning to use with custom inharmonic timbres. It has the potential to facilitate music far removed from any conventional harmonic or melodic traditions.
+{{Harmonics in cet|title=Approximation of harmonics in π-edo|381.971863420548806|prec=1|columns=11}}
-==Harmonics==
+[[Category:Edonoi]]
-{{harmonics in cet|title=Approximation of harmonics in pi-EDO|381.971863421|prec=1|columns=11}}
-[[Category:Equal divisions of the octave]][[Category:Irrational intervals]]