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== Theory ==
== Theory ==
{{primes in equal|8}}
{{Primes in equal|8|intervals=odd}}


8edo forms an odd and even pitch set of two diminished seventh chords, which when used in combination yield dissonance. The system has been described as a "barbaric" harmonic system; even so, it does a good job representing the [[just intonation subgroup]]s 2.11/3.13/5, with good intervals of [[13/10]] and an excellent version of [[11/6]].
8edo forms an odd and even pitch set of two diminished seventh chords, which when used in combination yield dissonance. The system has been described as a "barbaric" harmonic system; even so, it does a good job representing the [[just intonation subgroup]]s 2.11/3.13/5, with good intervals of [[13/10]] and an excellent version of [[11/6]].
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== Notation ==
== Notation ==
8edo can be notated as a subset of 24edo, using [[Ups_and_Downs_Notation|ups and downs]]. It can also be notated as a subset of 16edo, but this is a less intuitive notation.
8edo can be notated as a subset of 24edo, using [[Ups and Downs Notation|ups and downs]]. It can also be notated as a subset of 16edo, but this is a less intuitive notation.


{| class="wikitable center-all"
{| class="wikitable center-all"
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genchain of 2nds: ...A1 - A2 - M3 - M4 - M5 - M6 - P7 - P1 - P2 - m3 - m4 - m5 - m6 - d7 - d8...
genchain of 2nds: ...A1 - A2 - M3 - M4 - M5 - M6 - P7 - P1 - P2 - m3 - m4 - m5 - m6 - d7 - d8...


=== Chord Names ===
=== Chord names ===
[[Ups and Downs Notation #Chords and Chord Progressions|Ups and downs]] can name any 8edo chord. Alterations are always enclosed in parentheses, additions never are. An up, down or mid immediately after the chord root affects the 3rd, 6th, 7th, and/or the 11th (every other note of a stacked-3rds chord 6-1-3-5-7-9-11-13).  
[[Ups and Downs Notation #Chords and Chord Progressions|Ups and downs]] can name any 8edo chord. Alterations are always enclosed in parentheses, additions never are. An up, down or mid immediately after the chord root affects the 3rd, 6th, 7th, and/or the 11th (every other note of a stacked-3rds chord 6-1-3-5-7-9-11-13).  


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|}
|}


== JI Intervals ==
== JI approximation ==
[[File:8ed2-001.svg|alt=alt : Your browser has no SVG support.]]
[[File:8ed2-001.svg|alt=alt : Your browser has no SVG support.]]


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<references/>
<references/>


== Scala scale file ==
== Scales ==
For those who use the new tuner Lingot, which accepts scala files, or for anyone else, here is a .scl file of 8edo [[:File:08-edo.scl|08-edo.scl]]
=== Scala scale file ===
For those who use the new tuner Lingot, which accepts scala files, or for anyone else, here is a .scl file of 8edo [[:File:08-EDO.scl|08-edo.scl]]


0. 1/1 C Unison
<pre>
! 08-EDO.scl
!
8 EDO
8
!
150.00
300.00
450.00
600.00
750.00
900.00
1050.00
2/1
</pre>


1. 150.000 cents C# (50 cents sharper than C# of 12-TET) Neutral 2nd
=== Pathological modes ===
 
2. 300.000 cents D# Minor 3rd (identical to 12-TET)
 
3. 450.000 cents E Sub-4th, Supermajor 3rd (50 cents sharper than E of 12-TET)
 
4. 600.000 cents F# Tritone (identical to 12-TET)
 
5. 750.000 cents G Super 5th, Subminor 6th (50 cents sharper than G of 12-TET)
 
6. 900.000 cents A Major 6th (identical to 12-TET)
 
7. 1050.000 cents A# Neutral 7th (50 cents sharper than A# of 12-TET)
 
8. 2/1 C Octave
 
=== Pathological Modes ===
2 1 1 1 1 1 1 [[1L 6s]] MOS
2 1 1 1 1 1 1 [[1L 6s]] MOS


== Music ==
== Music ==
[https://soundcloud.com/overtoneshock/tenacious-chorale-9-edo-and-8-edo-live Tenacious Chorale (only movement II is in 8EDO)] by [[Stephen Weigel]]
* [https://soundcloud.com/overtoneshock/tenacious-chorale-9-edo-and-8-edo-live Tenacious Chorale (only movement II is in 8EDO)] by [[Stephen Weigel]]
 
* ''[http://www.h-pi.com/mp3/Fantasia8ET.mp3 Fantasia in 8ET]''{{dead link}} by [[Aaron Andrew Hunt]]
''[http://www.h-pi.com/mp3/Fantasia8ET.mp3 Fantasia in 8ET]''{{dead link}} by [[Aaron Andrew Hunt]]
* ''[http://www.h-pi.com/mp3/Fugue8ET.mp3 Fugue in 8ET]''{{dead link}} by Aaron Andrew Hunt
 
* [http://www.uvnitr.cz/flaoyg/forgotten_works/spendliky.html Špendlíky] ''[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Gustar/spendliky.mp3 play]'' by Milan Guštar
''[http://www.h-pi.com/mp3/Fugue8ET.mp3 Fugue in 8ET]''{{dead link}} by Aaron Andrew Hunt
* ''[http://www.ronsword.com/sounds/ronsword_8edo_improv.mp3 Acoustic Improvisation in 8EDO]''{{dead link}} by [[Ron Sword]]
 
* ''[http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/07%20-%207.%208%20octave.mp3 Comets Over Flatland 7]'' by [[Randy Winchester]]
[http://www.uvnitr.cz/flaoyg/forgotten_works/spendliky.html Špendlíky] ''[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Gustar/spendliky.mp3 play]'' by Milan Guštar
* ''[http://ia600607.us.archive.org/3/items/Transcendissonance/10Malebolge-CityOfTheAsleep.mp3 Malebolge]'' by [[City of the Asleep]]
 
* ''[http://www.youtube.com/watch?v=0mpDeL7iybI News To Me]'' by Jake Sherman
''[http://www.ronsword.com/sounds/ronsword_8edo_improv.mp3 Acoustic Improvisation in 8EDO]''{{dead link}} by [[Ron Sword]]
* ''[http://www.youtube.com/watch?v=HvDEoZ4LIdc Tomorrow Night (pop music from 2045)]'' by Jake Sherman
 
* ''[http://www.seraph.it/dep/det/FunkEight1.mp3 FunkEight 1]'' by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/86557ece0348a8d042346d5e1b13e2d9-166.html blog entry])
''[http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/07%20-%207.%208%20octave.mp3 Comets Over Flatland 7]'' by [[Randy Winchester]]
* [[:File:8edo-pre-improv.ogg|8edo-pre-improv.ogg]] Preliminary noodling in 8EDO with ZynAddSubFX synth (by Cenobyte)
 
* [[:File:darkreflections(sketch).ogg|darkreflections(sketch).ogg]] 8EDO Ukulele (Cenobyte)
''[http://ia600607.us.archive.org/3/items/Transcendissonance/10Malebolge-CityOfTheAsleep.mp3 Malebolge]'' by [[City of the Asleep]]
* [[:File:skiphop(sketch).ogg|skiphop(sketch).ogg]] 8EDO Ukulele (Cenobyte)
 
* [[:File:octo-icy-pensive(sketch).ogg|octo-icy-pensive(sketch).ogg]] [[:File:octo-icy-pensive-echo(sketch).ogg|octo-icy-pensive-echo(sketch).ogg]] 2 versions of the same song, one with echo, one without. (Cenobyte)
''[http://www.youtube.com/watch?v=0mpDeL7iybI News To Me]'' by Jake Sherman
 
''[http://www.youtube.com/watch?v=HvDEoZ4LIdc Tomorrow Night (pop music from 2045)]'' by Jake Sherman
 
''[http://www.seraph.it/dep/det/FunkEight1.mp3 FunkEight 1]'' by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/86557ece0348a8d042346d5e1b13e2d9-166.html blog entry])
 
[[:File:8edo-pre-improv.ogg|8edo-pre-improv.ogg]] Preliminary noodling in 8EDO with ZynAddSubFX synth (by Cenobyte)
 
[[:File:darkreflections(sketch).ogg|darkreflections(sketch).ogg]] 8EDO Ukulele (Cenobyte)
 
[[:File:skiphop(sketch).ogg|skiphop(sketch).ogg]] 8EDO Ukulele (Cenobyte)
 
[[:File:octo-icy-pensive(sketch).ogg|octo-icy-pensive(sketch).ogg]] [[:File:octo-icy-pensive-echo(sketch).ogg|octo-icy-pensive-echo(sketch).ogg]] 2 versions of the same song, one with echo, one without. (Cenobyte)


== Ear Training ==
== Ear training ==
8edo ear-training exercises by Alex Ness available [https://drive.google.com/a/playgroundsessions.com/folderview?id=0BwsXD8q2VCYUamtVWEgyRFA5alU&usp=sharing#list here].
8edo ear-training exercises by Alex Ness available [https://drive.google.com/a/playgroundsessions.com/folderview?id=0BwsXD8q2VCYUamtVWEgyRFA5alU&usp=sharing#list here].


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