User:PiotrGrochowski/13edo: Difference between revisions
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<span style="font-family: 'Verdana';"><center><big><big><big>''13edo, the edo for 2.5.9.11.13.17.19.21</span></center></big></big></big>'' | <span style="font-family: 'Verdana';"><center><big><big><big>''13edo, the edo for 2.5.9.11.13.17.19.21</span></center></big></big></big>'' | ||
<center><span style="font-family: 'Consolas';"><span style="font-size: 105%;">=13edo: 13 equal divisions of the octave= | <center><span style="font-family: 'Consolas';"><span style="font-size: 105%;"> | ||
=13edo: 13 equal divisions of the octave= | |||
13edo refers to a tuning system which divides the octave (frequency ratio 2:1) into 13 equal parts. It is the sixth [[prime_numbers|prime]] edo, following [[11edo|11edo]] and coming before [[17edo|17edo]]. The steps less than 600¢ are narrower than their nearest 12edo approximation, while those greater than 600¢ are wider. This allows for some neat ear-bending tricks, whereby melodic gestures reminiscent of 12edo can quickly arrive at an unfamiliar place. | 13edo refers to a tuning system which divides the octave (frequency ratio 2:1) into 13 equal parts. It is the sixth [[prime_numbers|prime]] edo, following [[11edo|11edo]] and coming before [[17edo|17edo]]. The steps less than 600¢ are narrower than their nearest 12edo approximation, while those greater than 600¢ are wider. This allows for some neat ear-bending tricks, whereby melodic gestures reminiscent of 12edo can quickly arrive at an unfamiliar place. | ||
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For alternative notations, see [[Ups_and_Downs_Notation#Summary of EDO notation-"Supersharp" EDOs|Ups and | For alternative notations, see [[Ups_and_Downs_Notation#Summary of EDO notation-"Supersharp" EDOs|Ups and downs notation -"Supersharp" EDOs]] (pentatonic and octotonic fifth-based) and [[Ups_and_Downs_Notation#Natural Generators|Ups and downs notation - Natural Generators]] (heptatonic second-based). | ||
[[:File:13edo-chromatic-scale.mid|13 edo chromatic ascending and descending scale on C (MIDI)]] | [[:File:13edo-chromatic-scale.mid|13 edo chromatic ascending and descending scale on C (MIDI)]] | ||
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[http://soundcloud.com/xenvotta/sets/votta-liber-stellarum-for/ Liber Stellarum] by [http://votta.wordpress.com Alfredo Votta] | [http://soundcloud.com/xenvotta/sets/votta-liber-stellarum-for/ Liber Stellarum] by [http://votta.wordpress.com Alfredo Votta] | ||
[http://soonlabel.com/xenharmonic/wp-content/uploads/2014/02/Margo-Schulter-For_Claudi-2014-02-17-13edo.mp3 For Claudi] by [http://soonlabel.com/xenharmonic/archives/1788 Margo Schulter | [http://soonlabel.com/xenharmonic/wp-content/uploads/2014/02/Margo-Schulter-For_Claudi-2014-02-17-13edo.mp3 For Claudi] by [http://soonlabel.com/xenharmonic/archives/1788 Margo Schulter] | ||