13edo: Difference between revisions
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== Tuning by ear == | == Tuning by ear == | ||
13edo can be approximated by a circle of [[64/49]] subminor fourths (which can be tuned by tuning two [[7/4]] subminor sevenths). A stack of 13 of these subfourths closes with an error of +10.526432¢, or +11% of 13-edo's step size. | 13edo can be approximated by a circle of [[64/49]] subminor fourths (which can be tuned by tuning two [[7/4]] subminor sevenths). A stack of 13 of these subfourths closes with an error of +10.526432¢, or +11% of 13-edo's step size. | ||
== Phi vibes == | |||
13edo has a very close approximation of [[acoustic phi]] (9\13), with only -2.3 cents of error. 23edo and 36edo are even closer, but unlike all closer EDOs, 13-EDO has no other interval that represents any ratio from the Fibonacci sequence (3/2, 5/3, 8/5, 13/8, 21/13, etc.) except of course for 1/1 and 2/1. In a way, one could say that 13-EDO is the only EDO that tempers the ratios of the Fibonacci sequence into a single interval. | |||
== Scales == | == Scales == | ||
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* [https://youtu.be/x4Yesl8n6gc ''Brusselator Sprouts''] | * [https://youtu.be/x4Yesl8n6gc ''Brusselator Sprouts''] | ||
; [[Daniel Thompson]] ([ | ; [[Daniel Thompson]] ([https://danielthompson.blogspot.com/ site]) | ||
* [http://www.microtonalmusic.net/audio/slowdance13edo.mp3 ''Slow Dance'']{{dead link}} | * [http://www.microtonalmusic.net/audio/slowdance13edo.mp3 ''Slow Dance'']{{dead link}} | ||
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* [http://www.seraph.it/dep/det/MP13.mp3 ''MP13''] ([http://www.seraph.it/blog_files/0039a08cabcf860c813c37912c8898a0-183.html blog entry]) | * [http://www.seraph.it/dep/det/MP13.mp3 ''MP13''] ([http://www.seraph.it/blog_files/0039a08cabcf860c813c37912c8898a0-183.html blog entry]) | ||
* [http://www.seraph.it/dep/det/Berimbau13.mp3 ''Berimbau 13''] ([http://www.seraph.it/blog_files/6b9292c1c0c8b46af3fd0d906d887183-184.html blog entry]) | * [http://www.seraph.it/dep/det/Berimbau13.mp3 ''Berimbau 13''] ([http://www.seraph.it/blog_files/6b9292c1c0c8b46af3fd0d906d887183-184.html blog entry]) | ||
* [ | * [https://youtu.be/-6Q5XXvZhKE ''Tenori Blofeld'' (video)] ([http://www.seraph.it/blog_files/8f73ac37040c73a7d86101cd50af3c6d-188.html blog entry]) | ||
* [http://www.seraph.it/dep/det/FromTheDiaryOfThe13thFly.mp3 ''From The Diary Of The 13th Fly''] ([http://www.seraph.it/blog_files/7d977261410acf3eb3f6bce49b04f296-206.html blog entry]) | * [http://www.seraph.it/dep/det/FromTheDiaryOfThe13thFly.mp3 ''From The Diary Of The 13th Fly''] ([http://www.seraph.it/blog_files/7d977261410acf3eb3f6bce49b04f296-206.html blog entry]) | ||
* [http://www.seraph.it/dep/det/Lotus13.mp3 ''Lotus 13''] ([http://www.seraph.it/blog_files/e63d2a478d5d422027d27eb6f9dc59f5-255.html blog entry]) | * [http://www.seraph.it/dep/det/Lotus13.mp3 ''Lotus 13''] ([http://www.seraph.it/blog_files/e63d2a478d5d422027d27eb6f9dc59f5-255.html blog entry]) | ||
; [[Alfredo Votta]] ([http://votta.wordpress.com site]) | ; [[Alfredo Votta]] ([http://votta.wordpress.com site]) | ||
* [ | * [https://soundcloud.com/xenvotta/sets/votta-liber-stellarum-for/ ''Liber Stellarum''] | ||
; [[Margo Schulter]] ([http://soonlabel.com/xenharmonic/archives/1788 site]{{dead link}}) | ; [[Margo Schulter]] ([http://soonlabel.com/xenharmonic/archives/1788 site]{{dead link}}) | ||