11edo: Difference between revisions
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Compared to 12edo, the intervals of 11edo are stretched: | Compared to 12edo, the intervals of 11edo are stretched: | ||
* The "minor second," at 109.09 cents, functions melodically | * The "minor second," at 109.09 cents, functions melodically very much like the 100-cent minor second of 12edo. | ||
* The "major second," at 218.18 cents, works in a similar fashion to the 200-cent major second of 12edo, but as a major ninth, it may sound less concordant. Its inversion, at 981.82 cents, can function as a "bluesy" seventh relative to 12edo's 1000-cent interval, although it is still about 13 cents away from 7/4. | * The "major second," at 218.18 cents, works in a similar fashion to the 200-cent major second of 12edo, but as a major ninth, it may sound less concordant. Its inversion, at 981.82 cents, can function as a "bluesy" seventh relative to 12edo's 1000-cent interval, although it is still about 13 cents away from 7/4. | ||
* The "minor third," at 327.27 cents, is rather sharp and encroaching upon "neutral third." | * The "minor third," at 327.27 cents, is rather sharp and encroaching upon "neutral third." | ||
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11edo is the largest edo that patently alternates with an undivided 9/8 in a [[Well tempered nonet|wtn]]. | 11edo is the largest edo that patently alternates with an undivided 9/8 in a [[Well tempered nonet|wtn]]. | ||
11edo has a good approximation of [[9/7]], hence one natural approach to harmony in 11edo is to generate chords from stacks of this interval. Incidentally, correcting the tuning of 9/7 to just tuning and stacking this interval has the beneficial side effect of also improving the tuning of the 17th harmonic to almost exactly just intonation, with an error of only 0.3 cents. It may therefore be worth considering this JI tuning as an alternative to 11edo. | |||
== Intervals and notation == | == Intervals and notation == | ||
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; [[Jacob Barton]] | ; [[Jacob Barton]] | ||
* [ | * [https://soundclick.com/share.cfm?id=10267904 "Piece I"], from ''Hyperimprovisations Nuggetwarp'' (2009) | ||
* [ | * [https://soundclick.com/share.cfm?id=10267905 "Piece II"], from ''Hyperimprovisations Nuggetwarp'' (2009) | ||
* [ | * [https://soundclick.com/share.cfm?id=10267906 "Piece III"], from ''Hyperimprovisations Nuggetwarp'' (2009) | ||
; [[City of the Asleep]] | ; [[City of the Asleep]] | ||
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'''Jason Conklin''' | '''Jason Conklin''' | ||
* [http://web.archive.org/web/20201127013549/http://micro.soonlabel.com/gene_ward_smith/Others/Conklin/Conklin-The_City_Sleeps_A_Madrigal.mp3 ''The City Sleeps, A Madrigal''] (2011) ([ | * [http://web.archive.org/web/20201127013549/http://micro.soonlabel.com/gene_ward_smith/Others/Conklin/Conklin-The_City_Sleeps_A_Madrigal.mp3 ''The City Sleeps, A Madrigal''] (2011) ([https://soundcloud.com/ninly/the-city-sleeps SoundCloud]) | ||
'''David Hamill''' | '''David Hamill''' | ||
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; [[X. J. Scott]] | ; [[X. J. Scott]] | ||
* [ | * [https://soundclick.com/share.cfm?id=955383 ''Angkor Wat, September 1066''] (2004) | ||
; [[George Secor]] | ; [[George Secor]] | ||
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* [http://micro.soonlabel.com/11-ET/20110902_prepared_seagull_metamorphis.mp3 ''The Metamorphosis of Gregor''] (2011) | * [http://micro.soonlabel.com/11-ET/20110902_prepared_seagull_metamorphis.mp3 ''The Metamorphosis of Gregor''] (2011) | ||
* [http://chrisvaisvil.com/?p=2701 ''Eleven Birds''] (2012) (video and music) ([http://micro.soonlabel.com/11-ET/20120928-piano-11edo-eleven-birds.mp3 audio only]) | * [http://chrisvaisvil.com/?p=2701 ''Eleven Birds''] (2012) (video and music) ([http://micro.soonlabel.com/11-ET/20120928-piano-11edo-eleven-birds.mp3 audio only]) | ||
* [ | * [https://soundcloud.com/vaisvil/the-execution-of-12-equal ''The Execution of 12 Equal'']{{dead link}} | ||
; [[Randy Winchester]] | ; [[Randy Winchester]] | ||
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== Videos == | == Videos == | ||
* The Stuffed Ones: ''[ | * The Stuffed Ones: ''[https://www.youtube.com/watch?v=NU0VvGRelUQ&feature=related Goopy]'', ''[https://www.youtube.com/watch?v=4D9wDl_oxHE&feature=related Ziggy]'', ''[https://www.youtube.com/watch?v=53IiHdXfJwI&feature=related Ellie]'', ''[https://www.youtube.com/watch?v=4sZqpRcB-lk&feature=related Towelbear]'' by [https://www.youtube.com/user/zipzappoozoo zipzappoozoo] | ||
* [ | * [https://www.youtube.com/watch?v=AhPjsCoMy-Q 11-equal Improvisation]'', [[Mike Battaglia FAQ|Mike Battaglia]] - youtube | ||
== See also == | == See also == | ||