8edo: Difference between revisions

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→Music: Add Anne Veinberg's ''8 vs 16 vs 32 Notes Per Octave — The 96-Tone Piano in Its Subdivision Glory'' (2026)
 
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! 2.5/3.11/3.13/5*
! 2.5/3.11/3.13/5*
! 10:11:12:13:14*
! 10:11:12:13:14*
!val 8d, 16 integer limit, relative error < 15 %
!val 8d**
!Patent val ⟨8 13 19]
!Patent val ⟨8 13 19]
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| 11/6
| 20/11, 11/6
| 20/11, 11/6
|11/6, 14/13
|11/6, 13/7
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|9/5, 48/50
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<nowiki />* Allows [[inversion]] by 2/1; other interpretations also possible
<nowiki />* Allows [[inversion]] by 2/1; other interpretations also possible
<nowiki />** 16 integer limit, relative error < 15 %


== Notation ==
== Notation ==
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; [[Aaron Andrew Hunt]]
; [[Aaron Andrew Hunt]]
* [https://aaronandrewhunt.bandcamp.com/track/fantasia-fugue-a4-in-8et "Fantasia & Fugue a4 in 8ET"], from [https://aaronandrewhunt.bandcamp.com/album/the-equal-tempered-keyboard ''The Equal-Tempered Keyboard''] (1999-2022)
* [https://aaronandrewhunt.bandcamp.com/track/fantasia-fugue-a4-in-8et "Fantasia & Fugue a4 in 8ET"], from [https://aaronandrewhunt.bandcamp.com/album/the-equal-tempered-keyboard ''The Equal-Tempered Keyboard''] (1999-2022)
; [[User:Fitzgerald_Lee|Fitzgerald Lee]]
* [https://youtu.be/zwRDfjLzXkU Jonky Jazz] (2025)


; [[NullPointerException Music]]
; [[NullPointerException Music]]
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; [[Ron Sword]]
; [[Ron Sword]]
* [http://www.ronsword.com/sounds/ronsword_8edo_improv.mp3 ''Acoustic Improvisation in 8EDO'']{{dead link}}
* [http://www.ronsword.com/sounds/ronsword_8edo_improv.mp3 ''Acoustic Improvisation in 8EDO'']{{dead link}}
; [[Anne Veinberg]]
* [https://www.youtube.com/watch?v=fm32IYUtITU ''8 vs 16 vs 32 Notes Per Octave — The 96-Tone Piano in Its Subdivision Glory''] (2026, performed on a digital recreation of [[Julián Carrillo]]'s 96-tone metamorphoser piano, using subsets 8edo, [[16edo]], [[32edo]], and then glissandos in full [[96edo]])


; [[Stephen Weigel]]
; [[Stephen Weigel]]
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; [[Randy Winchester]]
; [[Randy Winchester]]
* [https://archive.org/details/jamendo-005173/07.mp3 "7. 8 / octave"], from ''[[Comets Over Flatland]]'' (2007)
* [https://archive.org/details/jamendo-005173/07.mp3 "7. 8 / octave"], from ''[[Comets Over Flatland]]'' (2007)
; [[User:Fitzgerald_Lee|Fitzgerald Lee]]
* [https://youtu.be/zwRDfjLzXkU Jonky Jazz] (2025)


== Ear training ==
== Ear training ==