31edo: Difference between revisions
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{{Wikipedia| 31 equal temperament }} | {{Wikipedia| 31 equal temperament }} | ||
'''31 equal divisions of the octave''' ('''31edo'''), or '''31(-tone) equal temperament''', '''tricesimoprimal meantone temperament''' ('''31tet''', '''31et''') when viewed from a [[regular temperament]] perspective, is the tuning system derived by dividing | '''31 equal divisions of the octave''' ('''31edo'''), or '''31(-tone) equal temperament''', '''tricesimoprimal meantone temperament''' ('''31tet''', '''31et''') when viewed from a [[regular temperament]] perspective, is the tuning system derived by dividing [[octave]] into 31 [[equal]]ly large steps. Each step is equivalent to a frequency ratio of the 31st root of 2, or 38.7 [[cent]]s. The term ''tricesimoprimal'' was first used by [[Adriaan Fokker]]. | ||
== Basic theory == | == Basic theory == | ||
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=== Books === | === Books === | ||
* Coates, Bill. ''[https://scribd.com/document/32296502/31-tone-equal-temperament Diesis: An Introduction to the Temperament of 31 Notes to Each Octave]''. Self-published, 1992. | * Coates, Bill. ''[https://scribd.com/document/32296502/31-tone-equal-temperament Diesis: An Introduction to the Temperament of 31 Notes to Each Octave]''. Self-published, 1992. | ||
* [[Sword, Ron]]. ''[https://ronsword.bigcartel.com/product/tricesimoprimal-scales-for-guitar Tricesimoprimal Scales for Guitar: Scales for 31-EDO]''. 2009. (A comprehensive approach to 31edo and all the families associated for guitar. Features over 300 scale charts/scale examples.) | * [[Sword, Ron]]. ''[https://ronsword.bigcartel.com/product/tricesimoprimal-scales-for-guitar Tricesimoprimal Scales for Guitar: Scales for 31-EDO]''. 2009. ([http://www.metatonalmusic.com/books.html Metatonal Music link]) (A comprehensive approach to 31edo and all the families associated for guitar. Features over 300 scale charts/scale examples.) | ||
=== Articles === | === Articles === | ||