9edo: Difference between revisions

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| ja = 9平均律

}}

= Theory =

The 9EDO scale, which divides the octave into nine equal parts each of 133+1/3 cents precisely, has the peculiar property of representing certain [[Harmonic_Limit|7-limit]] intervals almost exactly. A 7-limit version of 9EDO goes

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! style="text-align:center;" | [[cent]]s

! style="text-align:center;" | Approximate <br>Ratios

! colspan="2" style="text-align:center;" | Major wider ~~<br>~~than minor

! colspan="2" style="text-align:center;" | Melodic notation

! colspan="2" style="text-align:center;" | Major narrower ~~<br>~~than minor

Major wider than minor

! colspan="2" style="text-align:center;" | Harmonic notation

Major narrower than minor

|-

| style="text-align:center;" | 0

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[[File:9edo_wheel.png|alt=9edo wheel.png|385x385px|9edo wheel.png]]

=~~Compositions~~=

=Instruments=

[[File:IMG_2223-800x600.jpg|alt=IMG_2223-800x600.jpg|400px|IMG_2223-800x600.jpg]]

Ukulele (MicroUke 1.2) set to 9 EDO with 40 lb. test fishing line (by cenobyte)

=Music=

<ul><li>[https://soundcloud.com/overtoneshock/tencaious-chorale-9-edo-studio-version Tenacious Chorale (only movement I is in 9-EDO)] by Stephen Weigel</li><li>[https://soundcloud.com/overtoneshock/in-our-own-little-worlds-9-edo In Our Own Lonely Worlds] by Stephen Weigel</li><li>Nocturne in 9tet by [http://home.snafu.de/djwolf/WorksDescriptive.htm Daniel Wolf]</li><li>''[http://www.h-pi.com/mp3/Prelude9ET.mp3 Prelude in 9ET]'' by [[Aaron_Andrew_Hunt|Aaron Andrew Hunt]]</li><li>''[http://micro.soonlabel.com/9-edo/daily20110629_fts_e_guit_9et.mp3 Improvisation for Electric Guitar in 9 edo]'' by [http://www.chrisvaisvil.com Chris Vaisvil]</li><li>[http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/08%20-%208.%209%20octave.mp3 Comets Over Flatland 8] by [[Randy_Winchester|Randy Winchester]]</li><li>[http://www.youtube.com/watch?v=bDFCsCoaUO4 Nine tones per Octave (9-EDO / 9-TET)] by [[Ivor_Darreg|Ivor Darreg]]</li><li>[http://micro.soonlabel.com/9-edo/daily20111008b_gerbils_at_the_wheel_of_government.mp3 Gerbils at the Wheel of Government] by [http://chrisvaisvil.com/?p=1402 Chris Vaisvil] (in 9 and 18 edo simultaneously)</li><li>[http://www.seraph.it/dep/det/NewWorld.mp3 New World] by [[Carlo_Serafini|Carlo Serafini]] ([http://www.seraph.it/blog_files/f533be803cb9ed1efc23fc9e2db10c6f-167.html blog entry])</li><li>[https://soundcloud.com/santiagocosentino/interdimensional-train-ride Interdimensional Train Ride by Santiago Cosentino]</li></ul>

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=Ear Training=

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

~~=Instruments=~~

~~[[File:IMG_2223-800x600.jpg|alt=IMG_2223-800x600.jpg|400px|IMG_2223-800x600.jpg]]~~

~~Ukulele (MicroUke 1.2) set to 9 EDO with 40 lb. test fishing line (by cenobyte)~~

[[Category:9-tone]]

@@ Line 5: / Line 5: @@
 | ja = 9平均律
 }}
+= Theory =
 The 9EDO scale, which divides the octave into nine equal parts each of 133+1/3 cents precisely, has the peculiar property of representing certain [[Harmonic_Limit|7-limit]] intervals almost exactly. A 7-limit version of 9EDO goes
@@ Line 37: / Line 39: @@
 ! style="text-align:center;" | [[cent]]s
 ! style="text-align:center;" | Approximate <br>Ratios
-! colspan="2" style="text-align:center;" | Major wider <br>than minor
+! colspan="2" style="text-align:center;" | Melodic notation
-! colspan="2" style="text-align:center;" | Major narrower <br>than minor
+Major wider than minor
+! colspan="2" style="text-align:center;" | Harmonic notation
+Major narrower than minor
 |-
 | style="text-align:center;" | 0
@@ Line 313: / Line 317: @@
 [[File:9edo_wheel.png|alt=9edo wheel.png|385x385px|9edo wheel.png]]
-=Compositions=
+=Instruments=
+[[File:IMG_2223-800x600.jpg|alt=IMG_2223-800x600.jpg|400px|IMG_2223-800x600.jpg]]
+Ukulele (MicroUke 1.2) set to 9 EDO with 40 lb. test fishing line (by cenobyte)
+=Music=
 <ul><li>[https://soundcloud.com/overtoneshock/tencaious-chorale-9-edo-studio-version Tenacious Chorale (only movement I is in 9-EDO)] by Stephen Weigel</li><li>[https://soundcloud.com/overtoneshock/in-our-own-little-worlds-9-edo In Our Own Lonely Worlds] by Stephen Weigel</li><li>Nocturne in 9tet by [http://home.snafu.de/djwolf/WorksDescriptive.htm Daniel Wolf]</li><li>''[http://www.h-pi.com/mp3/Prelude9ET.mp3 Prelude in 9ET]'' by [[Aaron_Andrew_Hunt|Aaron Andrew Hunt]]</li><li>''[http://micro.soonlabel.com/9-edo/daily20110629_fts_e_guit_9et.mp3 Improvisation for Electric Guitar in 9 edo]'' by [http://www.chrisvaisvil.com Chris Vaisvil]</li><li>[http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/08%20-%208.%209%20octave.mp3 Comets Over Flatland 8] by [[Randy_Winchester|Randy Winchester]]</li><li>[http://www.youtube.com/watch?v=bDFCsCoaUO4 Nine tones per Octave (9-EDO / 9-TET)] by [[Ivor_Darreg|Ivor Darreg]]</li><li>[http://micro.soonlabel.com/9-edo/daily20111008b_gerbils_at_the_wheel_of_government.mp3 Gerbils at the Wheel of Government] by [http://chrisvaisvil.com/?p=1402 Chris Vaisvil] (in 9 and 18 edo simultaneously)</li><li>[http://www.seraph.it/dep/det/NewWorld.mp3 New World] by [[Carlo_Serafini|Carlo Serafini]] ([http://www.seraph.it/blog_files/f533be803cb9ed1efc23fc9e2db10c6f-167.html blog entry])</li><li>[https://soundcloud.com/santiagocosentino/interdimensional-train-ride Interdimensional Train Ride by Santiago Cosentino]</li></ul>
@@ Line 319: / Line 329: @@
 =Ear Training=
 EDO ear-training exercises by Alex Ness available [https://drive.google.com/a/playgroundsessions.com/folderview?id=0BwsXD8q2VCYUamtVWEgyRFA5alU&usp=sharing#list here].
-=Instruments=
-[[File:IMG_2223-800x600.jpg|alt=IMG_2223-800x600.jpg|400px|IMG_2223-800x600.jpg]]
-Ukulele (MicroUke 1.2) set to 9 EDO with 40 lb. test fishing line (by cenobyte)
 [[Category:9-tone]]