8edo: Difference between revisions

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<~~h2>IMPORTED REVISION FROM WIKISPACES</h2>~~

~~This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>~~

__FORCETOC__

~~: This revision was by author [[User:spt3125|spt3125]] and made on <tt>2017-07-22 19:11:45 UTC</tt>.<br>~~

=Theory=

~~: The original revision id was <tt>615831801</tt>.<br>~~

8-edo 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_subgroups|just intonation subgroup]] 2.11/3.13/5, with good intervals of 13/10 and an excellent version of 11/6.

~~: The revision comment was: <tt></tt><br>~~

~~The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>~~

~~<h4>Original Wikitext content:</h4>~~

<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html"><span style="display: block; text-align: right;"~~>~~[[8平均律|日本語]]

~~<~~/span~~>~~

~~[[toc|flat]]~~

=Theory=

8-edo 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 subgroups~~|just intonation subgroup]] 2.11/3.13/5, with good intervals of 13/10 and an excellent version of 11/6.

Another way of looking at 8-EDO is to treat a chord of 0-1-2-3-4 degrees (0-150-300-450-600 cents) as approximating harmonics 10:11:12:13:14 (~0-165-316-454-583 cents), which is not too implausible if you can buy that 12-EDO is a 5-limit temperament. This interpretation would imply that 121/120, 144/143, 169/168, and hence also 36/35 and 66/65, are tempered out.

=Intervals=

[[~~media type~~=~~"custom" key="24802404"~~]]

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

[[~~file~~:8ed2-001.svg]]

[[:File:8ed2-001.svg|8ed2-001.svg]]

8-edo can be notated as a subset of 24-edo, using [[Ups_and_Downs_Notation|ups and downs]]. It can also be notated as a subset of 16-edo, but this is a less intuitive notation.

{| class="wikitable"

~~8-edo can be notated as a subset of 24-edo, using [[Ups and Downs Notation~~|~~ups and downs]]. It can also be notated as a subset of 16~~-~~edo, but this is a less intuitive notation.~~

|-

||~ Edostep ||~ Cents |~~|||~~~ 24-edo subset notation |~~|||~~~ 16-edo subset notation ||

! | Edostep

||= 0 ||= 0¢ ||= P1 ||= D ||= P1 ||= D ||

! | Cents

||= 1 ||= 150 ||= ~2 ||= Ev ||= M2 ||= E ||

! colspan="2" | 24-edo subset notation

||= 2 ||= 300 ||= m3 ||= F ||= M3 ||= F# ||

! colspan="2" | 16-edo subset notation

||= 3 ||= 450 ||= ^M3 / v4 ||= F#^ / Gv ||= d3 / A4 ||= Fb / G# ||

|-

||= 4 ||= 600 ||= A4 / d5 ||= G# / Ab ||= d4 / A5 ||= Gb / A# ||

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

||= 5 ||= 750 ||= ^5 / vm6 ||= A^ / Bbv ||= d5 / A6 ||= Ab / B# ||

| style="text-align:center;" | 0¢

||= 6 ||= 900 ||= M6 ||= B ||= m6 ||= Bb ||

| style="text-align:center;" | P1

||= 7 ||= 1050 ||= ~7 ||= C^ ||= m7 ||= C ||

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

||= 8 ||= 1200 ||= P8 ||= D ||= P8 ||= D ||

| style="text-align:center;" | P1

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

|-

| style="text-align:center;" | 1

| style="text-align:center;" | 150

| style="text-align:center;" | ~2

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

| style="text-align:center;" | M2

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

|-

| style="text-align:center;" | 2

| style="text-align:center;" | 300

| style="text-align:center;" | m3

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

| style="text-align:center;" | M3

| style="text-align:center;" | F#

|-

| style="text-align:center;" | 3

| style="text-align:center;" | 450

| style="text-align:center;" | ^M3 / v4

| style="text-align:center;" | F#^ / Gv

| style="text-align:center;" | d3 / A4

| style="text-align:center;" | Fb / G#

|-

| style="text-align:center;" | 4

| style="text-align:center;" | 600

| style="text-align:center;" | A4 / d5

| style="text-align:center;" | G# / Ab

| style="text-align:center;" | d4 / A5

| style="text-align:center;" | Gb / A#

|-

| style="text-align:center;" | 5

| style="text-align:center;" | 750

| style="text-align:center;" | ^5 / vm6

| style="text-align:center;" | A^ / Bbv

| style="text-align:center;" | d5 / A6

| style="text-align:center;" | Ab / B#

|-

| style="text-align:center;" | 6

| style="text-align:center;" | 900

| style="text-align:center;" | M6

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

| style="text-align:center;" | m6

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

|-

| style="text-align:center;" | 7

| style="text-align:center;" | 1050

| style="text-align:center;" | ~7

| style="text-align:center;" | C^

| style="text-align:center;" | m7

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

|-

| style="text-align:center;" | 8

| style="text-align:center;" | 1200

| style="text-align:center;" | P8

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

| style="text-align:center;" | P8

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

|}

8-edo chords are very ambiguous, with many chord homonyms. Even the major and minor triads are homonyms. Chord components usually default to M2, M3, P4, P5, M6, m7, M9, P11 and M13. Thus D7 has a M3, P5 and m7. 8-edo chord names using 24-edo subset names are greatly simplified by using different defaults: ~2, ^M3, v4, ^5, M6, ~7, ~9, v11 and M13. Thus D7 becomes ^M3, ^5 and ~7.

~~||~ Chord edosteps ||~ Chord notes ||~ Proper name ||~ Abbreviated name ||~ Homonyms ||~~

~~||< 0 – 3 – 5 ||< D F♯^ A^ ||< D.^(^5) ||< D ||< F♯^.m or Gv.m ||~~

~~||< 0 – 2 – 5 ||< D F A^ ||< Dm(^5) ||< Dm ||< A^ or B♭v ||~~

~~||< 0 – 3 – 5 – 7 ||< D F♯^ A^ C^ ||< D.^7(^5) ||< D7 ||< F♯^.m♯11 or Gv.m♯11 ||~~

~~||< 0 – 3 – 5 – 6 ||< D F♯^ A^ B ||< D6(^3,^5) ||< D6 ||< Bm7 and Gv,♯9 ||~~

~~||< 0 – 2 – 5 – 7 ||< D F A^ C^ ||< Dm~7(^5) ||< Dm7 ||< F6 and B♭v,♯9 ||~~

~~||< 0 – 2 – 5 – 6 ||< D F A^ B ||< Dm6(^5) ||< Dm6 ||< Bm7(♭5) ||~~

~~||< 0 – 2 – 4 – 7 ||< D F A♭ C^ ||< Ddim~7 ||< Dm7(♭5) ||< Fm6 ||~~

{| class="wikitable"

|-

! | Chord edosteps

! | Chord notes

! | Proper name

! | Abbreviated name

! | Homonyms

|-

| | 0 – 3 – 5

| | D F♯^ A^

| | D.^(^5)

| | D

| | F♯^.m or Gv.m

|-

| | 0 – 2 – 5

| | D F A^

| | Dm(^5)

| | Dm

| | A^ or B♭v

|-

| | 0 – 3 – 5 – 7

| | D F♯^ A^ C^

| | D.^7(^5)

| | D7

| | F♯^.m♯11 or Gv.m♯11

|-

| | 0 – 3 – 5 – 6

| | D F♯^ A^ B

| | D6(^3,^5)

| | D6

| | Bm7 and Gv,♯9

|-

| | 0 – 2 – 5 – 7

| | D F A^ C^

| | Dm~7(^5)

| | Dm7

| | F6 and B♭v,♯9

|-

| | 0 – 2 – 5 – 6

| | D F A^ B

| | Dm6(^5)

| | Dm6

| | Bm7(♭5)

|-

| | 0 – 2 – 4 – 7

| | D F A♭ C^

| | Ddim~7

| | Dm7(♭5)

| | Fm6

|}

=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 8 EDO [[~~file~~:08-EDO.scl]]

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

0. 1/1 C Unison

1. 150.000 cents C# (50 cents sharper than C# of 12 tet) Neutral 2nd

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

=Compositions=

[[https://soundcloud.com/overtoneshock/tenacious-chorale-9-edo-and-8-edo-live?in=overtoneshock/sets/xenharmonic-microtonal|Tenacious Chorale (only movement II is in 8-EDO)]] by Stephen Weigel

[https://soundcloud.com/overtoneshock/tenacious-chorale-9-edo-and-8-edo-live?in=overtoneshock/sets/xenharmonic-microtonal Tenacious Chorale (only movement II is in 8-EDO)] by Stephen Weigel

~~//[~~[http://www.h-pi.com/mp3/Fantasia8ET.mp3|Fantasia in 8ET]~~]//~~ by Aaron Andrew Hunt

~~//[~~[http://www.h-pi.com/mp3/Fugue8ET.mp3|Fugue in 8ET]~~]//~~ by Aaron Andrew Hunt

''[http://www.h-pi.com/mp3/Fantasia8ET.mp3 Fantasia in 8ET]'' 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.ronsword.com/sounds/ronsword_8edo_improv.mp3|Acoustic Improvisation in 8-edo]~~]//~~ by Ron Sword (dead link)

''[http://www.h-pi.com/mp3/Fugue8ET.mp3 Fugue in 8ET]'' by Aaron Andrew Hunt

~~//[~~[http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/07%20-%207.%208%20octave.mp3|Comets Over Flatland 7]~~]//~~ by [[Randy Winchester]]

~~//[[@http://ia600607.us.archive.org/3/items/Transcendissonance/10Malebolge-CityOfTheAsleep.mp3|Malebolge]]// Alison Jones~~

[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.youtube.com/watch?v=0mpDeL7iybI|News To Me]]// Jake Sherman~~

~~//[[@http://www.youtube.com/watch?v=HvDEoZ4LIdc|Tomorrow Night (pop music from 2045)]]// Jake Sherman~~

''[http://www.ronsword.com/sounds/ronsword_8edo_improv.mp3 Acoustic Improvisation in 8-edo]'' by Ron Sword (dead link)

~~//[[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]]Preliminary noodling in 8 EDO with ZynAddSubFX synth.(by Cenobyte)~~

''[http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/07%20-%207.%208%20octave.mp3 Comets Over Flatland 7]'' by [[Randy_Winchester|Randy Winchester]]

~~[[file:darkreflections(sketch).ogg]]8EDO Ukulele (cenobyte)~~

~~[[file:skiphop(sketch).ogg]]8EDO Ukulele (cenobyte)~~

~~[[file:octo-icy-pensive(sketch).ogg]] [[file:octo-icy-pensive-echo(sketch).ogg]]2 versions of the same song, one with echo, one without. (cenobyte)~~

~~=Ear Training=~~

''[http://ia600607.us.archive.org/3/items/Transcendissonance/10Malebolge-CityOfTheAsleep.mp3 Malebolge]'' Alison Jones

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

=~~See also=~~

''[http://www.youtube.com/watch?v=0mpDeL7iybI News To Me]'' Jake Sherman

*[[Octatonic scale]] ~~- a scale based on alternating whole and half steps~~

~~=Commas=~~

''[http://www.youtube.com/watch?v=HvDEoZ4LIdc Tomorrow Night (pop music from 2045)]'' Jake Sherman

~~8 EDO tempers out the following commas. (Note: This assumes val < 8 13 19 22 28 30 |). ||~ Comma ||~ Monzo ||~ Cents ||~ Name 1 ||~ Name 2 ||~ Name 3 ||~~

~~||= 648/625 || | 3 4 -4 > ||> 62.57 ||= Major Diesis ||= Diminished Comma || ||~~

~~||= 250/243 || | 1 -5 3 > ||> 49.17 ||= Maximal Diesis ||= Porcupine Comma || ||~~

~~||= 78732/78125 || | 2 9 -7 > ||> 13.40 ||= Medium Semi Comma ||= Sensipent Comma || ||~~

~~||= 64/63 || | 6 -2 0 -1 > ||> 27.26 ||= Septimal Comma ||= Archytas~~' ~~Comma || Leipziger Komma ||~~

~~||= 875/864 || | -5 -3 3 1 > ||> 21.90 ||= Keema || || ||~~

~~||= 321489/320000 || | -9 8 -4 2 > ||> 8.04 ||= Varun Isma || || ||~~

~~||= 6144/6125 || | 11 1 -3 -2 > ||> 5.36 ||= Cornwell || || ||~~

~~||= 100/99 || | 2 -2 2 0 -1 > ||> 17.40 ||= Ptolemies || || ||~~

~~||= 121/120 || | -3 -1 -1 0 2 > ||> 14.37 ||= Batista || || ||~~

~~||= 176/175 || | 4 0 -2 -1 1 > ||> 9.86 ||= Valinor Mo || || ||~~

~~||= 65536/65219 || | 16 0 0 -2 -3 > ||> 8.39 ||= Organisms || || ||~~

~~||= 385/384 || | -7 -1 1 1 1 > ||> 4.50 ||= Keenanisma || || ||~~

~~||= 4000/3993 || | 5 -1 3 0 -3 > ||> 3.03 ||= Wizard Harry || || ||</pre></div>~~

~~<h4>Original HTML content:</h4>~~

~~</span><br />~~

<a href="#Theory">Theory</a> | <a href="#Intervals">Intervals</a> | <a href="#Scala scale file">Scala scale file</a> | <a href="#Compositions">Compositions</a> | <a href="#Ear Training">Ear Training</a> | <a href="#See also">See also</a> | <a href="#Commas">Commas</a>

<h1 id="toc0"><a name="Theory"></a>Theory</h1>

8-edo 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 &quot;barbaric&quot; harmonic system; even so, it does a good job representing the <a class="wiki_link" href="/Just%20intonation%20subgroups">just intonation subgroup</a> 2.11/3.13/5, with good intervals of 13/10 and an excellent version of 11/6.<br />

~~<br />~~

Another way of looking at 8-EDO is to treat a chord of 0-1-2-3-4 degrees (0-150-300-450-600 cents) as approximating harmonics 10:11:12:13:14 (~0-165-316-454-583 cents), which is not too implausible if you can buy that 12-EDO is a 5-limit temperament. This interpretation would imply that 121/120, 144/143, 169/168, and hence also 36/35 and 66/65, are tempered out.<br />

~~<br />~~

~~<h1 id="toc1"><a name="Intervals"></a>Intervals</h1>~~

~~<br />~~

<object id="example" type="image/svg+xml" data="http://xenharmonic.wikispaces.com/file/view/8ed2-001.svg">alt : Your browser has no SVG support.</object><br />

~~<br />~~

~~<div class="objectEmbed"><a href=~~"/file/view/8ed2-001.svg/480698786/8ed2-001.svg" onclick="ws.common.trackFileLink~~(~~'/file/view/8ed2-001.svg/480698786/8ed2-001.svg'~~);"><img src="http://c1.wikicdn.com/i/mime/32/empty.png" height="32" width="32" alt="8ed2-001.svg" /></a><div><a href="/file/view/8ed2-001.svg/480698786/8ed2-001.svg" onclick="ws.common.trackFileLink('~~/file/view/8ed2-001.svg/480698786/8ed2-001.svg');" class="filename" title="8ed2-001.svg">8ed2-001.svg</a><br /><ul><li><a href="/file/detail/8ed2-001.svg">Details</a></li><li><a href="/file/view/8ed2-001.svg/480698786/8ed2-001.svg">Download</a></li><li style="color: #666">12 KB</li></ul></div></div><br />

~~<br />~~

8-edo can be notated as a subset of 24-edo, using <a class="wiki_link" href="/Ups%20and%20Downs%20Notation">ups and downs</a>. It can also be notated as a subset of 16-edo, but this is a less intuitive notation.<br />

''[http://www.seraph.it/dep/det/FunkEight1.mp3 FunkEight 1]'' by [[Carlo_Serafini|Carlo Serafini]] ([http://www.seraph.it/blog_files/86557ece0348a8d042346d5e1b13e2d9-166.html blog entry])

~~<table class="wiki_table">~~

[[:File:8edo-pre-improv.ogg|8edo-pre-improv.ogg]]Preliminary noodling in 8 EDO with ZynAddSubFX synth.(by Cenobyte)

~~<tr>~~

~~<th>Edostep<br />~~

~~</th>~~

~~<th>Cents<br />~~

~~</th>~~

~~<th colspan="2">24-edo subset notation<br />~~

~~</th>~~

~~<th colspan="2">16-edo subset notation<br />~~

~~</th>~~

~~</tr>~~

~~<tr>~~

~~<td style="text-align: center;">0<br />~~

~~</td>~~

~~<td style="text-align: center;">0¢<br />~~

~~</td>~~

~~<td style="text-align: center;">P1<br />~~

~~</td>~~

~~<td style="text-align: center;">D<br />~~

~~</td>~~

~~<td style="text-align: center;">P1<br />~~

~~</td>~~

~~<td style="text-align: center;">D<br />~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td style="text-align: center;">1<br />~~

~~</td>~~

~~<td style="text-align: center;">150<br />~~

~~</td>~~

~~<td style="text-align: center;">~2<br />~~

~~</td>~~

~~<td style="text-align: center;">Ev<br />~~

~~</td>~~

~~<td style="text-align: center;">M2<br />~~

~~</td>~~

~~<td style="text-align: center;">E<br />~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td style="text-align: center;">2<br />~~

~~</td>~~

~~<td style="text-align: center;">300<br />~~

~~</td>~~

~~<td style="text-align: center;">m3<br />~~

~~</td>~~

~~<td style="text-align: center;">F<br />~~

~~</td>~~

~~<td style="text-align: center;">M3<br />~~

~~</td>~~

~~<td style="text-align: center;">F#<br />~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td style="text-align: center;">3<br />~~

~~</td>~~

~~<td style="text-align: center;">450<br />~~

~~</td>~~

~~<td style="text-align: center;">^M3 / v4<br />~~

~~</td>~~

~~<td style="text-align: center;">F#^ / Gv<br />~~

~~</td>~~

~~<td style="text-align: center;">d3 / A4<br />~~

~~</td>~~

~~<td style="text-align: center;">Fb / G#<br />~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td style="text-align: center;">4<br />~~

~~</td>~~

~~<td style="text-align: center;">600<br />~~

~~</td>~~

~~<td style="text-align: center;">A4 / d5<br />~~

~~</td>~~

~~<td style="text-align: center;">G# / Ab<br />~~

~~</td>~~

~~<td style="text-align: center;">d4 / A5<br />~~

~~</td>~~

~~<td style="text-align: center;">Gb / A#<br />~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td style="text-align: center;">5<br />~~

~~</td>~~

~~<td style="text-align: center;">750<br />~~

~~</td>~~

~~<td style="text-align: center;">^5 / vm6<br />~~

~~</td>~~

~~<td style="text-align: center;">A^ / Bbv<br />~~

~~</td>~~

~~<td style="text-align: center;">d5 / A6<br />~~

~~</td>~~

~~<td style="text-align: center;">Ab / B#<br />~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td style="text-align: center;">6<br />~~

~~</td>~~

~~<td style="text-align: center;">900<br />~~

~~</td>~~

~~<td style="text-align: center;">M6<br />~~

~~</td>~~

~~<td style="text-align~~: ~~center;">B<br />~~

~~</td>~~

~~<td style="text-align~~: ~~center;">m6<br />~~

~~</td>~~

~~<td style="text~~-~~align: center;">Bb<br />~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td style="text-align: center;">7<br />~~

~~</td>~~

~~<td style="text-align: center;">1050<br />~~

~~</td>~~

~~<td style="text-align: center;">~7<br />~~

~~</td>~~

~~<td style="text-align: center;">C^<br />~~

~~</td>~~

~~<td style="text~~-~~align: center;">m7<br />~~

~~</td>~~

~~<td style="text~~-~~align: center;">C<br />~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td style="text~~-~~align: center;">~~8~~<br />~~

~~</td>~~

~~<td style="text-align: center;">1200<br />~~

~~</td>~~

~~<td style="text-align: center;">P8<br />~~

~~</td>~~

~~<td style="text-align: center;">D<br />~~

~~</td>~~

~~<td style="text-align: center;">P8<br />~~

~~</td>~~

~~<td style="text-align: center;">D<br />~~

~~</td>~~

~~</tr>~~

~~</table>~~

~~<br />~~

[[:File:darkreflections(sketch).ogg|darkreflections(sketch).ogg]]8EDO Ukulele (cenobyte)

8-edo chords are very ambiguous, with many chord homonyms. Even the major and minor triads are homonyms. Chord components usually default to M2, M3, P4, P5, M6, m7, M9, P11 and M13. Thus D7 has a M3, P5 and m7. 8-edo chord names using 24-edo subset names are greatly simplified by using different defaults: ~~~2, ^M3, v4, ^5, M6, ~7, ~9, v11 and M13~~. ~~Thus D7 becomes ^M3, ^5 and ~7~~.~~<br />~~

[[:File:skiphop(sketch).ogg|skiphop(sketch).ogg]]8EDO Ukulele (cenobyte)

~~<table class="wiki_table">~~

[[: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)

~~<tr>~~

~~<th>Chord edosteps<br />~~

~~</th>~~

~~<th>Chord notes<br />~~

~~</th>~~

~~<th>Proper name<br />~~

~~</th>~~

~~<th>Abbreviated name<br />~~

~~</th>~~

~~<th>Homonyms<br />~~

~~</th>~~

~~</tr>~~

~~<tr>~~

~~<td style="text-align~~: ~~left;">0 – 3 – 5<br />~~

~~</td>~~

~~<td style="text~~-~~align: left;">D F♯^ A^<br />~~

~~</td>~~

~~<td style="text~~-~~align: left;">D.^~~(^5)~~<br />~~

~~</td>~~

~~<td style="text-align: left;">D<br />~~

~~</td>~~

~~<td style="text-align: left;">F♯^.m or Gv~~.~~m<br />~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td style="text~~-~~align: left;">0 – 2 – 5<br />~~

~~</td>~~

~~<td style="text~~-~~align: left;">D F A^<br />~~

~~</td>~~

~~<td style="text-align: left;">Dm~~(^5)~~<br />~~

~~</td>~~

~~<td style="text-align~~: ~~left;">Dm<br />~~

~~</td>~~

~~<td style="text-align~~: ~~left;">A^ or B♭v<br />~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td style="text~~-~~align: left;">0 – 3 – 5 – 7<br />~~

~~</td>~~

~~<td style="text~~-~~align: left;">D F♯^ A^ C^<br />~~

~~</td>~~

~~<td style="text~~-~~align: left;">D.^7~~(^5)~~<br />~~

~~</td>~~

~~<td style="text-align: left;">D7<br />~~

~~</td>~~

~~<td style="text-align: left;">F♯^~~.~~m♯11 or Gv.m♯11<br />~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td style="text~~-~~align: left;">0 – 3 – 5 – 6<br />~~

~~</td>~~

~~<td style="text~~-~~align: left;">D F♯^ A^ B<br />~~

~~</td>~~

~~<td style="text~~-~~align: left;">D6~~(~~^3,^5~~)~~<br />~~

~~</td>~~

~~<td style="text-align: left;">D6<br />~~

~~</td>~~

~~<td style="text-align: left;">Bm7 and Gv~~,~~♯9<br />~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td style="text-align: left;">0 – 2 – 5 – 7<br />~~

~~</td>~~

~~<td style="text-align: left;">D F A^ C^<br />~~

~~</td>~~

~~<td style="text-align: left;">Dm~7(^5)<br />~~

~~</td>~~

~~<td style="text-align: left;">Dm7<br />~~

~~</td>~~

~~<td style="text-align: left;">F6 and B♭v~~,~~♯9<br />~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td style="text-align: left;">0 – 2 – 5 – 6<br />~~

~~</td>~~

~~<td style="text-align: left;">D F A^ B<br />~~

~~</td>~~

~~<td style="text-align: left;">Dm6(^5)<br />~~

~~</td>~~

~~<td style="text-align: left;">Dm6<br />~~

~~</td>~~

~~<td style="text-align: left;">Bm7~~(♭5)~~<br />~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td style="text-align: left;">0 – 2 – 4 – 7<br />~~

~~</td>~~

~~<td style="text-align: left;">D F A♭ C^<br />~~

~~</td>~~

~~<td style="text-align: left;">Ddim~7<br />~~

~~</td>~~

~~<td style="text-align: left;">Dm7(♭5)<br />~~

~~</td>~~

~~<td style="text-align: left;">Fm6<br />~~

~~</td>~~

~~</tr>~~

~~</table>~~

~~<br />~~

=Ear Training=

~~<br />~~

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

~~<h1 id="toc2"><a name="Scala scale file"></a>Scala scale file</h1>~~

For those who use the new tuner Lingot, which accepts scala files, or for anyone else, here is a .scl file of 8 EDO <div class="objectEmbed"><a href="/file/view/08-EDO.scl/244588383/08-EDO.scl" onclick="ws.common.trackFileLink('/file/view/08-EDO.scl/244588383/08-EDO.scl');"><img src="http://c1.wikicdn.com/i/mime/32/text/plain.png" height="32" width="32" alt="08-EDO.scl" /></a><div><a href="/file/view/08-EDO.scl/244588383/08-EDO.scl" onclick="ws.common.trackFileLink('/file/view/08-EDO.scl/244588383/08-EDO.scl');" class="filename" title="08-EDO.scl">08-EDO.scl</a><br /><ul><li><a href="/file/detail/08-EDO.scl">Details</a></li><li><a href="/file/view/08-EDO.scl/244588383/08-EDO.scl">Download</a></li><li style="color: #666">1 KB</li></ul></div></div><br />

~~<br />~~

~~0. 1/1 C Unison<br />~~

~~1. 150.000 cents C# (50 cents sharper than C# of 12 tet) Neutral 2nd<br />~~

~~2. 300.000 cents D# Minor 3rd (identical to 12-tet)<br />~~

~~3. 450.000 cents E Sub-4th, Supermajor 3rd (50 cents sharper than E of 12 tet)<br />~~

~~4. 600.000 cents F# Tritone (identical to 12-tet)<br />~~

~~5. 750.000 cents G Super 5th, Subminor 6th (50 cents sharper than G of 12 tet)<br />~~

~~6. 900.000 cents A Major 6th (identical to 12-tet)<br />~~

~~7. 1050.000 cents A# Neutral 7th (50 cents sharper than A# of 12 tet)<br />~~

~~8. 2/1 C Octave<br />~~

~~<br />~~

~~<h1 id="toc3"><a name="Compositions"></a>Compositions</h1>~~

<a class="wiki_link_ext" href="https://soundcloud.com/overtoneshock/tenacious-chorale-9-edo-and-8-edo-live?in=overtoneshock/sets/xenharmonic-microtonal" rel="nofollow">Tenacious Chorale (only movement II is in 8-EDO)</a> by Stephen Weigel<br />

~~<em><a class="wiki_link_ext" href="http://www.h-pi.com/mp3/Fantasia8ET.mp3" rel="nofollow">Fantasia in 8ET</a></em> by Aaron Andrew Hunt<br />~~

~~<em><a class="wiki_link_ext" href="http://www.h-pi.com/mp3/Fugue8ET.mp3" rel="nofollow">Fugue in 8ET</a></em> by Aaron Andrew Hunt<br />~~

<a class="wiki_link_ext" href="http://www.uvnitr.cz/flaoyg/forgotten_works/spendliky.html" rel="nofollow">Špendlíky</a> <em><a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Gustar/spendliky.mp3" rel="nofollow">play</a></em> by Milan Guštar<br />

<em><a class="wiki_link_ext" href="http://www.ronsword.com/sounds/ronsword_8edo_improv.mp3" rel="nofollow" target="_blank">Acoustic Improvisation in 8-edo</a></em> by Ron Sword (dead link)<br />

<em><a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/07%20-%207.%208%20octave.mp3" rel="nofollow">Comets Over Flatland 7</a></em> by <a class="wiki_link" href="/Randy%20Winchester">Randy Winchester</a><br />

<em><a class="wiki_link_ext" href="http://ia600607.us.archive.org/3/items/Transcendissonance/10Malebolge-CityOfTheAsleep.mp3" rel="nofollow" target="_blank">Malebolge</a></em> Alison Jones<br />

~~<em><a class="wiki_link_ext" href="http://www.youtube.com/watch?v=0mpDeL7iybI" rel="nofollow" target="_blank">News To Me</a></em> Jake Sherman<br />~~

<em><a class="wiki_link_ext" href="http://www.youtube.com/watch?v=HvDEoZ4LIdc" rel="nofollow" target="_blank">Tomorrow Night (pop music from 2045)</a></em> Jake Sherman<br />

<em><a class="wiki_link_ext" href="http://www.seraph.it/dep/det/FunkEight1.mp3" rel="nofollow">FunkEight 1</a></em> by <a class="wiki_link" href="/Carlo%20Serafini">Carlo Serafini</a> (<a class="wiki_link_ext" href="http://www.seraph.it/blog_files/86557ece0348a8d042346d5e1b13e2d9-166.html" rel="nofollow">blog entry</a>)<br />

<div class="objectEmbed"><a href="/file/view/8edo-pre-improv.ogg/244674815/8edo-pre-improv.ogg" onclick="ws.common.trackFileLink('/file/view/8edo-pre-improv.ogg/244674815/8edo-pre-improv.ogg');"><img src="http://c1.wikicdn.com/i/mime/32/empty.png" height="32" width="32" alt="8edo-pre-improv.ogg" /></a><div><a href="/file/view/8edo-pre-improv.ogg/244674815/8edo-pre-improv.ogg" onclick="ws.common.trackFileLink('/file/view/8edo-pre-improv.ogg/244674815/8edo-pre-improv.ogg');" class="filename" title="8edo-pre-improv.ogg">8edo-pre-improv.ogg</a><br /><ul><li><a href="/file/detail/8edo-pre-improv.ogg">Details</a></li><li><a href="/file/view/8edo-pre-improv.ogg/244674815/8edo-pre-improv.ogg">Download</a></li><li style="color: #666">1 MB</li></ul></div></div>Preliminary noodling in 8 EDO with ZynAddSubFX synth.(by Cenobyte)<br />

<div class="objectEmbed"><a href="/file/view/darkreflections%28sketch%29.ogg/246401653/darkreflections%28sketch%29.ogg" onclick="ws.common.trackFileLink('/file/view/darkreflections%28sketch%29.ogg/246401653/darkreflections%28sketch%29.ogg');"><img src="http://c1.wikicdn.com/i/mime/32/empty.png" height="32" width="32" alt="darkreflections(sketch).ogg" /></a><div><a href="/file/view/darkreflections%28sketch%29.ogg/246401653/darkreflections%28sketch%29.ogg" onclick="ws.common.trackFileLink('/file/view/darkreflections%28sketch%29.ogg/246401653/darkreflections%28sketch%29.ogg');" class="filename" title="darkreflections(sketch).ogg">darkreflections(sketch).ogg</a><br /><ul><li><a href="/file/detail/darkreflections%28sketch%29.ogg">Details</a></li><li><a href="/file/view/darkreflections%28sketch%29.ogg/246401653/darkreflections%28sketch%29.ogg">Download</a></li><li style="color: #666">3 MB</li></ul></div></div>8EDO Ukulele (cenobyte)<br />

<div class="objectEmbed"><a href="/file/view/skiphop%28sketch%29.ogg/246401869/skiphop%28sketch%29.ogg" onclick="ws.common.trackFileLink('/file/view/skiphop%28sketch%29.ogg/246401869/skiphop%28sketch%29.ogg');"><img src="http://c1.wikicdn.com/i/mime/32/empty.png" height="32" width="32" alt="skiphop(sketch).ogg" /></a><div><a href="/file/view/skiphop%28sketch%29.ogg/246401869/skiphop%28sketch%29.ogg" onclick="ws.common.trackFileLink('/file/view/skiphop%28sketch%29.ogg/246401869/skiphop%28sketch%29.ogg');" class="filename" title="skiphop(sketch).ogg">skiphop(sketch).ogg</a><br /><ul><li><a href="/file/detail/skiphop%28sketch%29.ogg">Details</a></li><li><a href="/file/view/skiphop%28sketch%29.ogg/246401869/skiphop%28sketch%29.ogg">Download</a></li><li style="color: #666">3 MB</li></ul></div></div>8EDO Ukulele (cenobyte)<br />

<div class="objectEmbed"><a href="/file/view/octo-icy-pensive%28sketch%29.ogg/246402077/octo-icy-pensive%28sketch%29.ogg" onclick="ws.common.trackFileLink('/file/view/octo-icy-pensive%28sketch%29.ogg/246402077/octo-icy-pensive%28sketch%29.ogg');"><img src="http://c1.wikicdn.com/i/mime/32/empty.png" height="32" width="32" alt="octo-icy-pensive(sketch).ogg" /></a><div><a href="/file/view/octo-icy-pensive%28sketch%29.ogg/246402077/octo-icy-pensive%28sketch%29.ogg" onclick="ws.common.trackFileLink('/file/view/octo-icy-pensive%28sketch%29.ogg/246402077/octo-icy-pensive%28sketch%29.ogg');" class="filename" title="octo-icy-pensive(sketch).ogg">octo-icy-pensive(sketch).ogg</a><br /><ul><li><a href="/file/detail/octo-icy-pensive%28sketch%29.ogg">Details</a></li><li><a href="/file/view/octo-icy-pensive%28sketch%29.ogg/246402077/octo-icy-pensive%28sketch%29.ogg">Download</a></li><li style="color: #666">2 MB</li></ul></div></div> <div class="objectEmbed"><a href="/file/view/octo-icy-pensive-echo%28sketch%29.ogg/246402235/octo-icy-pensive-echo%28sketch%29.ogg" onclick="ws.common.trackFileLink('/file/view/octo-icy-pensive-echo%28sketch%29.ogg/246402235/octo-icy-pensive-echo%28sketch%29.ogg');"><img src="http://c1.wikicdn.com/i/mime/32/empty.png" height="32" width="32" alt="octo-icy-pensive-echo(sketch).ogg" /></a><div><a href="/file/view/octo-icy-pensive-echo%28sketch%29.ogg/246402235/octo-icy-pensive-echo%28sketch%29.ogg" onclick="ws.common.trackFileLink('/file/view/octo-icy-pensive-echo%28sketch%29.ogg/246402235/octo-icy-pensive-echo%28sketch%29.ogg');" class="filename" title="octo-icy-pensive-echo(sketch).ogg">octo-icy-pensive-echo(sketch).ogg</a><br /><ul><li><a href="/file/detail/octo-icy-pensive-echo%28sketch%29.ogg">Details</a></li><li><a href="/file/view/octo-icy-pensive-echo%28sketch%29.ogg/246402235/octo-icy-pensive-echo%28sketch%29.ogg">Download</a></li><li style="color: #666">2 MB</li></ul></div></div>2 versions of the same song, one with echo, one without. (cenobyte)<br />

~~<br />~~

~~<h1 id="toc4"><a name="~~Ear Training~~"></a>Ear Training</h1>~~

8 EDO ear-training exercises by Alex Ness available ~~<a class="wiki_link_ext" href="~~https://drive.google.com/a/playgroundsessions.com/folderview?id=0BwsXD8q2VCYUamtVWEgyRFA5alU&~~amp;amp;~~usp=sharing#list~~" rel="nofollow" target="_blank">~~here~~</a>.<br />~~

~~<br />~~

~~<h1 id="toc5"><a name="See also"></a>See also</h1>~~

*<a class="wiki_link" href="/Octatonic%20scale">Octatonic scale</a> - a scale based on alternating whole and half steps<br />

~~<br />~~

~~<h1 id="toc6"><a name="Commas"></a>Commas</h1>~~

~~8 EDO tempers out the following commas. (Note: This assumes val &lt; 8 13 19 22 28 30 |)~~. ~~||~ Comma ||~ Monzo ||~ Cents ||~ Name 1 ||~ Name 2 ||~ Name 3 ||<br />~~

=See also=

*[[Octatonic_scale|Octatonic scale]] - a scale based on alternating whole and half steps

~~<table class~~=~~"wiki_table">~~

=Commas=

~~<tr>~~

8 EDO tempers out the following commas. (Note: This assumes val < 8 13 19 22 28 30 |). ||~ Comma ||~ Monzo ||~ Cents ||~ Name 1 ||~ Name 2 ||~ Name 3 ||

~~<td style~~=~~"text-align: center;">648/625<br />~~

~~</td>~~

~~<td>| 3 4 -4 &gt;<br />~~

~~</td>~~

~~<td style="text-align: right;">62~~.~~57<br />~~

~~</td>~~

~~<td style="text-align~~: ~~center;">Major Diesis~~<~~br />~~

~~</td>~~

~~<td style="text-align: center;">Diminished Comma<br />~~

~~</td>~~

~~<td><br />~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td style="text-align: center;">250/243<br />~~

~~</td>~~

~~<td>~~| ~~1 -5 3 &gt;<br />~~

~~</td>~~

~~<td style="text-align: right;">49~~.~~17<br />~~

~~</td>~~

~~<td style="text-align: center;">Maximal Diesis<br />~~

~~</td>~~

~~<td style="text-align: center;">Porcupine~~ Comma~~<br />~~

~~</td>~~

~~<td><br />~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td style="text-align: center;">78732/78125<br />~~

~~</td>~~

~~<td>~~| ~~2 9 -7 &gt;<br />~~

~~</td>~~

~~<td style="text-align: right;">13.40<br />~~

~~</td>~~

~~<td style="text-align: center;">Medium Semi Comma<br />~~

~~</td>~~

~~<td style="text-align: center;">Sensipent Comma<br />~~

~~</td>~~

~~<td><br />~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td style="text-align: center;">64/63<br />~~

~~</td>~~

~~<td>~~| ~~6 -2 0 -1 &gt;<br />~~

~~</td>~~

~~<td style="text-align: right;">27.26<br />~~

~~</td>~~

~~<td style="text-align: center;">Septimal Comma<br />~~

~~</td>~~

~~<td style="text-align: center;">Archytas' Comma<br />~~

~~</td>~~

~~<td>Leipziger Komma<br />~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td style="text-align: center;">875/864<br />~~

~~</td>~~

~~<td>~~| ~~-5 -3 3 1 &gt;<br />~~

~~</td>~~

~~<td style="text-align: right;">21.90<br />~~

~~</td>~~

~~<td style="text-align: center;">Keema<br />~~

~~</td>~~

~~<td><br />~~

~~</td>~~

~~<td><br />~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td style="text-align: center;">321489/320000<br />~~

~~</td>~~

~~<td>~~| ~~-9 8 -4 2 &gt;<br />~~

~~</td>~~

~~<td style="text-align: right;">8.04<br />~~

~~</td>~~

~~<td style="text-align: center;">Varun Isma<br />~~

~~</td>~~

~~<td><br />~~

~~</td>~~

~~<td><br />~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td style="text-align: center;">6144/6125<br />~~

~~</td>~~

~~<td>~~| 11 1 ~~-3 -2 &gt;<br />~~

~~</td>~~

~~<td style="text-align: right;">5.36<br />~~

~~</td>~~

~~<td style="text-align: center;">Cornwell<br />~~

~~</td>~~

~~<td><br />~~

~~</td>~~

~~<td><br />~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td style="text-align: center;">100/99<br />~~

~~</td>~~

~~<td>~~| ~~2 -2 2 0 -1 &gt;<br />~~

~~</td>~~

~~<td style="text-align: right;">17.40<br />~~

~~</td>~~

~~<td style="text-align: center;">Ptolemies<br />~~

~~</td>~~

~~<td><br />~~

~~</td>~~

~~<td><br />~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td style="text-align: center;">121/120<br />~~

~~</td>~~

~~<td>~~| ~~-3 -1 -1 0~~ 2 ~~&gt;<br />~~

~~</td>~~

~~<td style="text-align: right;">14.37<br />~~

~~</td>~~

~~<td style="text-align: center;">Batista<br />~~

~~</td>~~

~~<td><br />~~

~~</td>~~

~~<td><br />~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td style="text-align: center;">176/175<br />~~

~~</td>~~

~~<td>~~| ~~4 0 -2 -1 1 &gt;<br />~~

~~</td>~~

~~<td style="text-align: right;">9.86<br />~~

~~</td>~~

~~<td style="text-align: center;">Valinor Mo<br />~~

~~</td>~~

~~<td><br />~~

~~</td>~~

~~<td><br />~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td style="text-align: center;">65536/65219<br />~~

~~</td>~~

~~<td>~~| ~~16 0 0 -2 -~~3 ~~&gt;<br />~~

~~</td>~~

~~<td style="text-align: right;">8.39<br />~~

~~</td>~~

~~<td style="text-align: center;">Organisms<br />~~

~~</td>~~

~~<td><br />~~

~~</td>~~

~~<td><br />~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td style="text-align: center;">385/384<br />~~

~~</td>~~

~~<td>~~| ~~-7 -1 1 1 1 &gt;<br />~~

~~</td>~~

~~<td style="text-align: right;">4.50<br />~~

~~</td>~~

~~<td style="text-align: center;">Keenanisma<br />~~

~~</td>~~

~~<td><br />~~

~~</td>~~

~~<td><br />~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td style="text-align: center;">4000/3993<br />~~

~~</td>~~

~~<td>~~| ~~5 -1 3 0 -3 &gt;<br />~~

~~</td>~~

~~<td style="text-align: right;">3.03<br />~~

~~</td>~~

~~<td style="text-align: center;">Wizard Harry<br />~~

~~</td>~~

~~<td><br />~~

~~</td>~~

~~<td><br />~~

~~</td>~~

~~</tr>~~

~~</table>~~

</~~body~~></~~html~~></~~pre><~~/~~div>~~

{| class="wikitable"

|-

| style="text-align:center;" | 648/625

| | | 3 4 -4 >

| style="text-align:right;" | 62.57

| style="text-align:center;" | Major Diesis

| style="text-align:center;" | Diminished Comma

| |

|-

| style="text-align:center;" | 250/243

| | | 1 -5 3 >

| style="text-align:right;" | 49.17

| style="text-align:center;" | Maximal Diesis

| style="text-align:center;" | Porcupine Comma

| |

|-

| style="text-align:center;" | 78732/78125

| | | 2 9 -7 >

| style="text-align:right;" | 13.40

| style="text-align:center;" | Medium Semi Comma

| style="text-align:center;" | Sensipent Comma

| |

|-

| style="text-align:center;" | 64/63

| | | 6 -2 0 -1 >

| style="text-align:right;" | 27.26

| style="text-align:center;" | Septimal Comma

| style="text-align:center;" | Archytas' Comma

| | Leipziger Komma

|-

| style="text-align:center;" | 875/864

| | | -5 -3 3 1 >

| style="text-align:right;" | 21.90

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

| |

|-

| style="text-align:center;" | 321489/320000

| | | -9 8 -4 2 >

| style="text-align:right;" | 8.04

| style="text-align:center;" | Varun Isma

| |

|-

| style="text-align:center;" | 6144/6125

| | | 11 1 -3 -2 >

| style="text-align:right;" | 5.36

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

| |

|-

| style="text-align:center;" | 100/99

| | | 2 -2 2 0 -1 >

| style="text-align:right;" | 17.40

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

| |

|-

| style="text-align:center;" | 121/120

| | | -3 -1 -1 0 2 >

| style="text-align:right;" | 14.37

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

| |

|-

| style="text-align:center;" | 176/175

| | | 4 0 -2 -1 1 >

| style="text-align:right;" | 9.86

| style="text-align:center;" | Valinor Mo

| |

|-

| style="text-align:center;" | 65536/65219

| | | 16 0 0 -2 -3 >

| style="text-align:right;" | 8.39

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

| |

|-

| style="text-align:center;" | 385/384

| | | -7 -1 1 1 1 >

| style="text-align:right;" | 4.50

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

| |

|-

| style="text-align:center;" | 4000/3993

| | | 5 -1 3 0 -3 >

| style="text-align:right;" | 3.03

| style="text-align:center;" | Wizard Harry

| |

|}

[[Category:8-tone]]

[[Category:8edo]]

[[Category:aaron_andrew_hunt]]

[[Category:edo]]

[[Category:listen]]

[[Category:macrotonal]]

[[Category:milan_guštar]]

[[Category:ron_sword]]

[[Category:scale]]

[[Category:todo:unify_precision]]

@@ Line 1: / Line 1: @@
-<h2>IMPORTED REVISION FROM WIKISPACES</h2>
+<span style="display: block; text-align: right;">[[8平均律|日本語]]</span>
-This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
+__FORCETOC__
-: This revision was by author [[User:spt3125|spt3125]] and made on <tt>2017-07-22 19:11:45 UTC</tt>.<br>
+=Theory=
-: The original revision id was <tt>615831801</tt>.<br>
+-edo 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_subgroups|just intonation subgroup]] 2.11/3.13/5, with good intervals of 13/10 and an excellent version of 11/6.
-: The revision comment was: <tt></tt><br>
-The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
-<h4>Original Wikitext content:</h4>
-<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">&lt;span style="display: block; text-align: right;"&gt;[[8平均律|日本語]]
-&lt;/span&gt;
-[[toc|flat]]
-=Theory=
--edo 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 subgroups|just intonation subgroup]] 2.11/3.13/5, with good intervals of 13/10 and an excellent version of 11/6.
 Another way of looking at 8-EDO is to treat a chord of 0-1-2-3-4 degrees (0-150-300-450-600 cents) as approximating harmonics 10:11:12:13:14 (~0-165-316-454-583 cents), which is not too implausible if you can buy that 12-EDO is a 5-limit temperament. This interpretation would imply that 121/120, 144/143, 169/168, and hence also 36/35 and 66/65, are tempered out.
 =Intervals=
-[[media type="custom" key="24802404"]]
+[[File:8ed2-001.svg|alt=alt : Your browser has no SVG support.]]
-[[file:8ed2-001.svg]]
+[[:File:8ed2-001.svg|8ed2-001.svg]]
+-edo can be notated as a subset of 24-edo, using [[Ups_and_Downs_Notation|ups and downs]]. It can also be notated as a subset of 16-edo, but this is a less intuitive notation.
+{| class="wikitable"
--edo can be notated as a subset of 24-edo, using [[Ups and Downs Notation|ups and downs]]. It can also be notated as a subset of 16-edo, but this is a less intuitive notation.
+|-
-||~ Edostep ||~ Cents ||||~ 24-edo subset notation ||||~ 16-edo subset notation ||
+! | Edostep
-||= 0 ||= 0¢ ||= P1 ||= D ||= P1 ||= D ||
+! | Cents
-||= 1 ||= 150 ||= ~2 ||= Ev ||= M2 ||= E ||
+! colspan="2" | 24-edo subset notation
-||= 2 ||= 300 ||= m3 ||= F ||= M3 ||= F# ||
+! colspan="2" | 16-edo subset notation
-||= 3 ||= 450 ||= ^M3 / v4 ||= F#^ / Gv ||= d3 / A4 ||= Fb / G# ||
+|-
-||= 4 ||= 600 ||= A4 / d5 ||= G# / Ab ||= d4 / A5 ||= Gb / A# ||
+| style="text-align:center;" | 0
-||= 5 ||= 750 ||= ^5 / vm6 ||= A^ / Bbv ||= d5 / A6 ||= Ab / B# ||
+| style="text-align:center;" | 0¢
-||= 6 ||= 900 ||= M6 ||= B ||= m6 ||= Bb ||
+| style="text-align:center;" | P1
-||= 7 ||= 1050 ||= ~7 ||= C^ ||= m7 ||= C ||
+| style="text-align:center;" | D
-||= 8 ||= 1200 ||= P8 ||= D ||= P8 ||= D ||
+| style="text-align:center;" | P1
+| style="text-align:center;" | D
+|-
+| style="text-align:center;" | 1
+| style="text-align:center;" | 150
+| style="text-align:center;" | ~2
+| style="text-align:center;" | Ev
+| style="text-align:center;" | M2
+| style="text-align:center;" | E
+|-
+| style="text-align:center;" | 2
+| style="text-align:center;" | 300
+| style="text-align:center;" | m3
+| style="text-align:center;" | F
+| style="text-align:center;" | M3
+| style="text-align:center;" | F#
+|-
+| style="text-align:center;" | 3
+| style="text-align:center;" | 450
+| style="text-align:center;" | ^M3 / v4
+| style="text-align:center;" | F#^ / Gv
+| style="text-align:center;" | d3 / A4
+| style="text-align:center;" | Fb / G#
+|-
+| style="text-align:center;" | 4
+| style="text-align:center;" | 600
+| style="text-align:center;" | A4 / d5
+| style="text-align:center;" | G# / Ab
+| style="text-align:center;" | d4 / A5
+| style="text-align:center;" | Gb / A#
+|-
+| style="text-align:center;" | 5
+| style="text-align:center;" | 750
+| style="text-align:center;" | ^5 / vm6
+| style="text-align:center;" | A^ / Bbv
+| style="text-align:center;" | d5 / A6
+| style="text-align:center;" | Ab / B#
+|-
+| style="text-align:center;" | 6
+| style="text-align:center;" | 900
+| style="text-align:center;" | M6
+| style="text-align:center;" | B
+| style="text-align:center;" | m6
+| style="text-align:center;" | Bb
+|-
+| style="text-align:center;" | 7
+| style="text-align:center;" | 1050
+| style="text-align:center;" | ~7
+| style="text-align:center;" | C^
+| style="text-align:center;" | m7
+| style="text-align:center;" | C
+|-
+| style="text-align:center;" | 8
+| style="text-align:center;" | 1200
+| style="text-align:center;" | P8
+| style="text-align:center;" | D
+| style="text-align:center;" | P8
+| style="text-align:center;" | D
+|}
 -edo chords are very ambiguous, with many chord homonyms. Even the major and minor triads are homonyms. Chord components usually default to M2, M3, P4, P5, M6, m7, M9, P11 and M13. Thus D7 has a M3, P5 and m7. 8-edo chord names using 24-edo subset names are greatly simplified by using different defaults: ~2, ^M3, v4, ^5, M6, ~7, ~9, v11 and M13. Thus D7 becomes ^M3, ^5 and ~7.
-||~ Chord edosteps ||~ Chord notes ||~ Proper name ||~ Abbreviated name ||~ Homonyms ||
-||&lt; 0 – 3 – 5 ||&lt; D F♯^ A^ ||&lt; D.^(^5) ||&lt; D ||&lt; F♯^.m or Gv.m ||
-||&lt; 0 – 2 – 5 ||&lt; D F A^ ||&lt; Dm(^5) ||&lt; Dm ||&lt; A^ or B♭v ||
-||&lt; 0 – 3 – 5 – 7 ||&lt; D F♯^ A^ C^ ||&lt; D.^7(^5) ||&lt; D7 ||&lt; F♯^.m♯11 or Gv.m♯11 ||
-||&lt; 0 – 3 – 5 – 6 ||&lt; D F♯^ A^ B ||&lt; D6(^3,^5) ||&lt; D6 ||&lt; Bm7 and Gv,♯9 ||
-||&lt; 0 – 2 – 5 – 7 ||&lt; D F A^ C^ ||&lt; Dm~7(^5) ||&lt; Dm7 ||&lt; F6 and B♭v,♯9 ||
-||&lt; 0 – 2 – 5 – 6 ||&lt; D F A^ B ||&lt; Dm6(^5) ||&lt; Dm6 ||&lt; Bm7(♭5) ||
-||&lt; 0 – 2 – 4 – 7 ||&lt; D F A♭ C^ ||&lt; Ddim~7 ||&lt; Dm7(♭5) ||&lt; Fm6 ||
+{| class="wikitable"
+|-
+! | Chord edosteps
+! | Chord notes
+! | Proper name
+! | Abbreviated name
+! | Homonyms
+|-
+| | 0 – 3 – 5
+| | D F♯^ A^
+| | D.^(^5)
+| | D
+| | F♯^.m or Gv.m
+|-
+| | 0 – 2 – 5
+| | D F A^
+| | Dm(^5)
+| | Dm
+| | A^ or B♭v
+|-
+| | 0 – 3 – 5 – 7
+| | D F♯^ A^ C^
+| | D.^7(^5)
+| | D7
+| | F♯^.m♯11 or Gv.m♯11
+|-
+| | 0 – 3 – 5 – 6
+| | D F♯^ A^ B
+| | D6(^3,^5)
+| | D6
+| | Bm7 and Gv,♯9
+|-
+| | 0 – 2 – 5 – 7
+| | D F A^ C^
+| | Dm~7(^5)
+| | Dm7
+| | F6 and B♭v,♯9
+|-
+| | 0 – 2 – 5 – 6
+| | D F A^ B
+| | Dm6(^5)
+| | Dm6
+| | Bm7(♭5)
+|-
+| | 0 – 2 – 4 – 7
+| | D F A♭ C^
+| | Ddim~7
+| | Dm7(♭5)
+| | Fm6
+|}
 =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 8 EDO [[file:08-EDO.scl]]
+For those who use the new tuner Lingot, which accepts scala files, or for anyone else, here is a .scl file of 8 EDO [[:File:08-EDO.scl|08-EDO.scl]]
 . 1/1 C Unison
 . 150.000 cents C# (50 cents sharper than C# of 12 tet) Neutral 2nd
 . 300.000 cents D# Minor 3rd (identical to 12-tet)
 . 450.000 cents E Sub-4th, Supermajor 3rd (50 cents sharper than E of 12 tet)
 . 600.000 cents F# Tritone (identical to 12-tet)
 . 750.000 cents G Super 5th, Subminor 6th (50 cents sharper than G of 12 tet)
 . 900.000 cents A Major 6th (identical to 12-tet)
 . 1050.000 cents A# Neutral 7th (50 cents sharper than A# of 12 tet)
 . 2/1 C Octave
 =Compositions=
-[[https://soundcloud.com/overtoneshock/tenacious-chorale-9-edo-and-8-edo-live?in=overtoneshock/sets/xenharmonic-microtonal|Tenacious Chorale (only movement II is in 8-EDO)]] by Stephen Weigel
+[https://soundcloud.com/overtoneshock/tenacious-chorale-9-edo-and-8-edo-live?in=overtoneshock/sets/xenharmonic-microtonal Tenacious Chorale (only movement II is in 8-EDO)] by Stephen Weigel
-//[[http://www.h-pi.com/mp3/Fantasia8ET.mp3|Fantasia in 8ET]]// by Aaron Andrew Hunt
-//[[http://www.h-pi.com/mp3/Fugue8ET.mp3|Fugue in 8ET]]// by Aaron Andrew Hunt
+''[http://www.h-pi.com/mp3/Fantasia8ET.mp3 Fantasia in 8ET]'' 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.ronsword.com/sounds/ronsword_8edo_improv.mp3|Acoustic Improvisation in 8-edo]]// by Ron Sword (dead link)
+''[http://www.h-pi.com/mp3/Fugue8ET.mp3 Fugue in 8ET]'' by Aaron Andrew Hunt
-//[[http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/07%20-%207.%208%20octave.mp3|Comets Over Flatland 7]]// by [[Randy Winchester]]
-//[[@http://ia600607.us.archive.org/3/items/Transcendissonance/10Malebolge-CityOfTheAsleep.mp3|Malebolge]]// Alison Jones
+[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.youtube.com/watch?v=0mpDeL7iybI|News To Me]]// Jake Sherman
-//[[@http://www.youtube.com/watch?v=HvDEoZ4LIdc|Tomorrow Night (pop music from 2045)]]// Jake Sherman
+''[http://www.ronsword.com/sounds/ronsword_8edo_improv.mp3 Acoustic Improvisation in 8-edo]'' by Ron Sword (dead link)
-//[[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]]Preliminary noodling in 8 EDO with ZynAddSubFX synth.(by Cenobyte)
+''[http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/07%20-%207.%208%20octave.mp3 Comets Over Flatland 7]'' by [[Randy_Winchester|Randy Winchester]]
-[[file:darkreflections(sketch).ogg]]8EDO Ukulele (cenobyte)
-[[file:skiphop(sketch).ogg]]8EDO Ukulele (cenobyte)
-[[file:octo-icy-pensive(sketch).ogg]] [[file:octo-icy-pensive-echo(sketch).ogg]]2 versions of the same song, one with echo, one without. (cenobyte)
-=Ear Training=
+''[http://ia600607.us.archive.org/3/items/Transcendissonance/10Malebolge-CityOfTheAsleep.mp3 Malebolge]'' Alison Jones
-EDO ear-training exercises by Alex Ness available [[@https://drive.google.com/a/playgroundsessions.com/folderview?id=0BwsXD8q2VCYUamtVWEgyRFA5alU&amp;usp=sharing#list|here]].
-=See also=
+''[http://www.youtube.com/watch?v=0mpDeL7iybI News To Me]'' Jake Sherman
-*[[Octatonic scale]] - a scale based on alternating whole and half steps
-=Commas=
+''[http://www.youtube.com/watch?v=HvDEoZ4LIdc Tomorrow Night (pop music from 2045)]'' Jake Sherman
-EDO tempers out the following commas. (Note: This assumes val &lt; 8 13 19 22 28 30 |). ||~ Comma ||~ Monzo ||~ Cents ||~ Name 1 ||~ Name 2 ||~ Name 3 ||
-||= 648/625 || | 3 4 -4 &gt; ||&gt; 62.57 ||= Major Diesis ||= Diminished Comma ||   ||
-||= 250/243 || | 1 -5 3 &gt; ||&gt; 49.17 ||= Maximal Diesis ||= Porcupine Comma ||   ||
-||= 78732/78125 || | 2 9 -7 &gt; ||&gt; 13.40 ||= Medium Semi Comma ||= Sensipent Comma ||   ||
-||= 64/63 || | 6 -2 0 -1 &gt; ||&gt; 27.26 ||= Septimal Comma ||= Archytas' Comma || Leipziger Komma ||
-||= 875/864 || | -5 -3 3 1 &gt; ||&gt; 21.90 ||= Keema ||   ||   ||
-||= 321489/320000 || | -9 8 -4 2 &gt; ||&gt; 8.04 ||= Varun Isma ||   ||   ||
-||= 6144/6125 || | 11 1 -3 -2 &gt; ||&gt; 5.36 ||= Cornwell ||   ||   ||
-||= 100/99 || | 2 -2 2 0 -1 &gt; ||&gt; 17.40 ||= Ptolemies ||   ||   ||
-||= 121/120 || | -3 -1 -1 0 2 &gt; ||&gt; 14.37 ||= Batista ||   ||   ||
-||= 176/175 || | 4 0 -2 -1 1 &gt; ||&gt; 9.86 ||= Valinor Mo ||   ||   ||
-||= 65536/65219 || | 16 0 0 -2 -3 &gt; ||&gt; 8.39 ||= Organisms ||   ||   ||
-||= 385/384 || | -7 -1 1 1 1 &gt; ||&gt; 4.50 ||= Keenanisma ||   ||   ||
-||= 4000/3993 || | 5 -1 3 0 -3 &gt; ||&gt; 3.03 ||= Wizard Harry ||   ||   ||</pre></div>
-<h4>Original HTML content:</h4>
-<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;8edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;span style="display: block; text-align: right;"&gt;&lt;a class="wiki_link" href="/8%E5%B9%B3%E5%9D%87%E5%BE%8B"&gt;日本語&lt;/a&gt;&lt;br /&gt;
-&lt;/span&gt;&lt;br /&gt;
-&lt;!-- ws:start:WikiTextTocRule:15:&amp;lt;img id=&amp;quot;wikitext@@toc@@flat&amp;quot; class=&amp;quot;WikiMedia WikiMediaTocFlat&amp;quot; title=&amp;quot;Table of Contents&amp;quot; src=&amp;quot;/site/embedthumbnail/toc/flat?w=100&amp;amp;h=16&amp;quot;/&amp;gt; --&gt;&lt;!-- ws:end:WikiTextTocRule:15 --&gt;&lt;!-- ws:start:WikiTextTocRule:16: --&gt;&lt;a href="#Theory"&gt;Theory&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:16 --&gt;&lt;!-- ws:start:WikiTextTocRule:17: --&gt; | &lt;a href="#Intervals"&gt;Intervals&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:17 --&gt;&lt;!-- ws:start:WikiTextTocRule:18: --&gt; | &lt;a href="#Scala scale file"&gt;Scala scale file&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:18 --&gt;&lt;!-- ws:start:WikiTextTocRule:19: --&gt; | &lt;a href="#Compositions"&gt;Compositions&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:19 --&gt;&lt;!-- ws:start:WikiTextTocRule:20: --&gt; | &lt;a href="#Ear Training"&gt;Ear Training&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:20 --&gt;&lt;!-- ws:start:WikiTextTocRule:21: --&gt; | &lt;a href="#See also"&gt;See also&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:21 --&gt;&lt;!-- ws:start:WikiTextTocRule:22: --&gt; | &lt;a href="#Commas"&gt;Commas&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:22 --&gt;&lt;!-- ws:start:WikiTextTocRule:23: --&gt;
-&lt;!-- ws:end:WikiTextTocRule:23 --&gt;&lt;!-- ws:start:WikiTextHeadingRule:1:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Theory"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:1 --&gt;Theory&lt;/h1&gt;
--edo 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 &amp;quot;barbaric&amp;quot; harmonic system; even so, it does a good job representing the &lt;a class="wiki_link" href="/Just%20intonation%20subgroups"&gt;just intonation subgroup&lt;/a&gt; 2.11/3.13/5, with good intervals of 13/10 and an excellent version of 11/6.&lt;br /&gt;
-&lt;br /&gt;
-Another way of looking at 8-EDO is to treat a chord of 0-1-2-3-4 degrees (0-150-300-450-600 cents) as approximating harmonics 10:11:12:13:14 (~0-165-316-454-583 cents), which is not too implausible if you can buy that 12-EDO is a 5-limit temperament. This interpretation would imply that 121/120, 144/143, 169/168, and hence also 36/35 and 66/65, are tempered out.&lt;br /&gt;
-&lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:3:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Intervals"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:3 --&gt;Intervals&lt;/h1&gt;
- &lt;br /&gt;
-&lt;!-- ws:start:WikiTextMediaRule:0:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/custom/24802404?h=0&amp;amp;w=0&amp;quot; class=&amp;quot;WikiMedia WikiMediaCustom&amp;quot; id=&amp;quot;wikitext@@media@@type=&amp;amp;quot;custom&amp;amp;quot; key=&amp;amp;quot;24802404&amp;amp;quot;&amp;quot; title=&amp;quot;Custom Media&amp;quot;/&amp;gt; --&gt;&lt;object id="example" type="image/svg+xml" data="http://xenharmonic.wikispaces.com/file/view/8ed2-001.svg"&gt;alt : Your browser has no SVG support.&lt;/object&gt;&lt;!-- ws:end:WikiTextMediaRule:0 --&gt;&lt;br /&gt;
-&lt;br /&gt;
-&lt;!-- ws:start:WikiTextFileRule:444:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file/8ed2-001.svg?h=52&amp;amp;w=320&amp;quot; class=&amp;quot;WikiFile&amp;quot; id=&amp;quot;wikitext@@file@@8ed2-001.svg&amp;quot; title=&amp;quot;File: 8ed2-001.svg&amp;quot; width=&amp;quot;320&amp;quot; height=&amp;quot;52&amp;quot; /&amp;gt; --&gt;&lt;div class="objectEmbed"&gt;&lt;a href="/file/view/8ed2-001.svg/480698786/8ed2-001.svg" onclick="ws.common.trackFileLink('/file/view/8ed2-001.svg/480698786/8ed2-001.svg');"&gt;&lt;img src="http://c1.wikicdn.com/i/mime/32/empty.png" height="32" width="32" alt="8ed2-001.svg" /&gt;&lt;/a&gt;&lt;div&gt;&lt;a href="/file/view/8ed2-001.svg/480698786/8ed2-001.svg" onclick="ws.common.trackFileLink('/file/view/8ed2-001.svg/480698786/8ed2-001.svg');" class="filename" title="8ed2-001.svg"&gt;8ed2-001.svg&lt;/a&gt;&lt;br /&gt;&lt;ul&gt;&lt;li&gt;&lt;a href="/file/detail/8ed2-001.svg"&gt;Details&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a href="/file/view/8ed2-001.svg/480698786/8ed2-001.svg"&gt;Download&lt;/a&gt;&lt;/li&gt;&lt;li style="color: #666"&gt;12 KB&lt;/li&gt;&lt;/ul&gt;&lt;/div&gt;&lt;/div&gt;&lt;!-- ws:end:WikiTextFileRule:444 --&gt;&lt;br /&gt;
-&lt;br /&gt;
-&lt;br /&gt;
-&lt;br /&gt;
--edo can be notated as a subset of 24-edo, using &lt;a class="wiki_link" href="/Ups%20and%20Downs%20Notation"&gt;ups and downs&lt;/a&gt;. It can also be notated as a subset of 16-edo, but this is a less intuitive notation.&lt;br /&gt;
+''[http://www.seraph.it/dep/det/FunkEight1.mp3 FunkEight 1]'' by [[Carlo_Serafini|Carlo Serafini]] ([http://www.seraph.it/blog_files/86557ece0348a8d042346d5e1b13e2d9-166.html blog entry])
-&lt;table class="wiki_table"&gt;
+[[:File:8edo-pre-improv.ogg|8edo-pre-improv.ogg]]Preliminary noodling in 8 EDO with ZynAddSubFX synth.(by Cenobyte)
-    &lt;tr&gt;
-        &lt;th&gt;Edostep&lt;br /&gt;
-&lt;/th&gt;
-        &lt;th&gt;Cents&lt;br /&gt;
-&lt;/th&gt;
-        &lt;th colspan="2"&gt;24-edo subset notation&lt;br /&gt;
-&lt;/th&gt;
-        &lt;th colspan="2"&gt;16-edo subset notation&lt;br /&gt;
-&lt;/th&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td style="text-align: center;"&gt;0&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;0¢&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;P1&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;D&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;P1&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;D&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td style="text-align: center;"&gt;1&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;150&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;~2&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;Ev&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;M2&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;E&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td style="text-align: center;"&gt;2&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;300&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;m3&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;F&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;M3&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;F#&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td style="text-align: center;"&gt;3&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;450&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;^M3 / v4&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;F#^ / Gv&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;d3 / A4&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;Fb / G#&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td style="text-align: center;"&gt;4&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;600&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;A4 / d5&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;G# / Ab&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;d4 / A5&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;Gb / A#&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td style="text-align: center;"&gt;5&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;750&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;^5 / vm6&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;A^ / Bbv&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;d5 / A6&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;Ab / B#&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td style="text-align: center;"&gt;6&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;900&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;M6&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;B&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;m6&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;Bb&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td style="text-align: center;"&gt;7&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;1050&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;~7&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;C^&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;m7&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;C&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td style="text-align: center;"&gt;8&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;1200&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;P8&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;D&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;P8&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;D&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-&lt;/table&gt;
-&lt;br /&gt;
+[[:File:darkreflections(sketch).ogg|darkreflections(sketch).ogg]]8EDO Ukulele (cenobyte)
--edo chords are very ambiguous, with many chord homonyms. Even the major and minor triads are homonyms. Chord components usually default to M2, M3, P4, P5, M6, m7, M9, P11 and M13. Thus D7 has a M3, P5 and m7. 8-edo chord names using 24-edo subset names are greatly simplified by using different defaults: ~2, ^M3, v4, ^5, M6, ~7, ~9, v11 and M13. Thus D7 becomes ^M3, ^5 and ~7.&lt;br /&gt;
+[[:File:skiphop(sketch).ogg|skiphop(sketch).ogg]]8EDO Ukulele (cenobyte)
-&lt;table class="wiki_table"&gt;
+[[: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)
-    &lt;tr&gt;
-        &lt;th&gt;Chord edosteps&lt;br /&gt;
-&lt;/th&gt;
-        &lt;th&gt;Chord notes&lt;br /&gt;
-&lt;/th&gt;
-        &lt;th&gt;Proper name&lt;br /&gt;
-&lt;/th&gt;
-        &lt;th&gt;Abbreviated name&lt;br /&gt;
-&lt;/th&gt;
-        &lt;th&gt;Homonyms&lt;br /&gt;
-&lt;/th&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td style="text-align: left;"&gt;0 – 3 – 5&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: left;"&gt;D F♯^ A^&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: left;"&gt;D.^(^5)&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: left;"&gt;D&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: left;"&gt;F♯^.m or Gv.m&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td style="text-align: left;"&gt;0 – 2 – 5&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: left;"&gt;D F A^&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: left;"&gt;Dm(^5)&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: left;"&gt;Dm&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: left;"&gt;A^ or B♭v&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td style="text-align: left;"&gt;0 – 3 – 5 – 7&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: left;"&gt;D F♯^ A^ C^&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: left;"&gt;D.^7(^5)&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: left;"&gt;D7&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: left;"&gt;F♯^.m♯11 or Gv.m♯11&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td style="text-align: left;"&gt;0 – 3 – 5 – 6&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: left;"&gt;D F♯^ A^ B&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: left;"&gt;D6(^3,^5)&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: left;"&gt;D6&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: left;"&gt;Bm7 and Gv,♯9&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td style="text-align: left;"&gt;0 – 2 – 5 – 7&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: left;"&gt;D F A^ C^&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: left;"&gt;Dm~7(^5)&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: left;"&gt;Dm7&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: left;"&gt;F6 and B♭v,♯9&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td style="text-align: left;"&gt;0 – 2 – 5 – 6&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: left;"&gt;D F A^ B&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: left;"&gt;Dm6(^5)&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: left;"&gt;Dm6&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: left;"&gt;Bm7(♭5)&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td style="text-align: left;"&gt;0 – 2 – 4 – 7&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: left;"&gt;D F A♭ C^&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: left;"&gt;Ddim~7&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: left;"&gt;Dm7(♭5)&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: left;"&gt;Fm6&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-&lt;/table&gt;
-&lt;br /&gt;
+=Ear Training=
-&lt;br /&gt;
+EDO ear-training exercises by Alex Ness available [https://drive.google.com/a/playgroundsessions.com/folderview?id=0BwsXD8q2VCYUamtVWEgyRFA5alU&usp=sharing#list here].
-&lt;!-- ws:start:WikiTextHeadingRule:5:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc2"&gt;&lt;a name="Scala scale file"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:5 --&gt;Scala scale file&lt;/h1&gt;
- For those who use the new tuner Lingot, which accepts scala files, or for anyone else, here is a .scl file of 8 EDO &lt;!-- ws:start:WikiTextFileRule:445:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file/08-EDO.scl?h=52&amp;amp;w=320&amp;quot; class=&amp;quot;WikiFile&amp;quot; id=&amp;quot;wikitext@@file@@08-EDO.scl&amp;quot; title=&amp;quot;File: 08-EDO.scl&amp;quot; width=&amp;quot;320&amp;quot; height=&amp;quot;52&amp;quot; /&amp;gt; --&gt;&lt;div class="objectEmbed"&gt;&lt;a href="/file/view/08-EDO.scl/244588383/08-EDO.scl" onclick="ws.common.trackFileLink('/file/view/08-EDO.scl/244588383/08-EDO.scl');"&gt;&lt;img src="http://c1.wikicdn.com/i/mime/32/text/plain.png" height="32" width="32" alt="08-EDO.scl" /&gt;&lt;/a&gt;&lt;div&gt;&lt;a href="/file/view/08-EDO.scl/244588383/08-EDO.scl" onclick="ws.common.trackFileLink('/file/view/08-EDO.scl/244588383/08-EDO.scl');" class="filename" title="08-EDO.scl"&gt;08-EDO.scl&lt;/a&gt;&lt;br /&gt;&lt;ul&gt;&lt;li&gt;&lt;a href="/file/detail/08-EDO.scl"&gt;Details&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a href="/file/view/08-EDO.scl/244588383/08-EDO.scl"&gt;Download&lt;/a&gt;&lt;/li&gt;&lt;li style="color: #666"&gt;1 KB&lt;/li&gt;&lt;/ul&gt;&lt;/div&gt;&lt;/div&gt;&lt;!-- ws:end:WikiTextFileRule:445 --&gt;&lt;br /&gt;
-&lt;br /&gt;
-. 1/1 C Unison&lt;br /&gt;
-. 150.000 cents C# (50 cents sharper than C# of 12 tet) Neutral 2nd&lt;br /&gt;
-. 300.000 cents D# Minor 3rd (identical to 12-tet)&lt;br /&gt;
-. 450.000 cents E Sub-4th, Supermajor 3rd (50 cents sharper than E of 12 tet)&lt;br /&gt;
-. 600.000 cents F# Tritone (identical to 12-tet)&lt;br /&gt;
-. 750.000 cents G Super 5th, Subminor 6th (50 cents sharper than G of 12 tet)&lt;br /&gt;
-. 900.000 cents A Major 6th (identical to 12-tet)&lt;br /&gt;
-. 1050.000 cents A# Neutral 7th (50 cents sharper than A# of 12 tet)&lt;br /&gt;
-. 2/1 C Octave&lt;br /&gt;
-&lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:7:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc3"&gt;&lt;a name="Compositions"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:7 --&gt;Compositions&lt;/h1&gt;
- &lt;a class="wiki_link_ext" href="https://soundcloud.com/overtoneshock/tenacious-chorale-9-edo-and-8-edo-live?in=overtoneshock/sets/xenharmonic-microtonal" rel="nofollow"&gt;Tenacious Chorale (only movement II is in 8-EDO)&lt;/a&gt; by Stephen Weigel&lt;br /&gt;
-&lt;em&gt;&lt;a class="wiki_link_ext" href="http://www.h-pi.com/mp3/Fantasia8ET.mp3" rel="nofollow"&gt;Fantasia in 8ET&lt;/a&gt;&lt;/em&gt; by Aaron Andrew Hunt&lt;br /&gt;
-&lt;em&gt;&lt;a class="wiki_link_ext" href="http://www.h-pi.com/mp3/Fugue8ET.mp3" rel="nofollow"&gt;Fugue in 8ET&lt;/a&gt;&lt;/em&gt; by Aaron Andrew Hunt&lt;br /&gt;
-&lt;a class="wiki_link_ext" href="http://www.uvnitr.cz/flaoyg/forgotten_works/spendliky.html" rel="nofollow"&gt;Špendlíky&lt;/a&gt; &lt;em&gt;&lt;a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Gustar/spendliky.mp3" rel="nofollow"&gt;play&lt;/a&gt;&lt;/em&gt; by Milan Guštar&lt;br /&gt;
-&lt;em&gt;&lt;a class="wiki_link_ext" href="http://www.ronsword.com/sounds/ronsword_8edo_improv.mp3" rel="nofollow" target="_blank"&gt;Acoustic Improvisation in 8-edo&lt;/a&gt;&lt;/em&gt; by Ron Sword (dead link)&lt;br /&gt;
-&lt;em&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/07%20-%207.%208%20octave.mp3" rel="nofollow"&gt;Comets Over Flatland 7&lt;/a&gt;&lt;/em&gt; by &lt;a class="wiki_link" href="/Randy%20Winchester"&gt;Randy Winchester&lt;/a&gt;&lt;br /&gt;
-&lt;em&gt;&lt;a class="wiki_link_ext" href="http://ia600607.us.archive.org/3/items/Transcendissonance/10Malebolge-CityOfTheAsleep.mp3" rel="nofollow" target="_blank"&gt;Malebolge&lt;/a&gt;&lt;/em&gt; Alison Jones&lt;br /&gt;
-&lt;em&gt;&lt;a class="wiki_link_ext" href="http://www.youtube.com/watch?v=0mpDeL7iybI" rel="nofollow" target="_blank"&gt;News To Me&lt;/a&gt;&lt;/em&gt; Jake Sherman&lt;br /&gt;
-&lt;em&gt;&lt;a class="wiki_link_ext" href="http://www.youtube.com/watch?v=HvDEoZ4LIdc" rel="nofollow" target="_blank"&gt;Tomorrow Night (pop music from 2045)&lt;/a&gt;&lt;/em&gt; Jake Sherman&lt;br /&gt;
-&lt;em&gt;&lt;a class="wiki_link_ext" href="http://www.seraph.it/dep/det/FunkEight1.mp3" rel="nofollow"&gt;FunkEight 1&lt;/a&gt;&lt;/em&gt; by &lt;a class="wiki_link" href="/Carlo%20Serafini"&gt;Carlo Serafini&lt;/a&gt; (&lt;a class="wiki_link_ext" href="http://www.seraph.it/blog_files/86557ece0348a8d042346d5e1b13e2d9-166.html" rel="nofollow"&gt;blog entry&lt;/a&gt;)&lt;br /&gt;
-&lt;!-- ws:start:WikiTextFileRule:446:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file/8edo-pre-improv.ogg?h=52&amp;amp;w=320&amp;quot; class=&amp;quot;WikiFile&amp;quot; id=&amp;quot;wikitext@@file@@8edo-pre-improv.ogg&amp;quot; title=&amp;quot;File: 8edo-pre-improv.ogg&amp;quot; width=&amp;quot;320&amp;quot; height=&amp;quot;52&amp;quot; /&amp;gt; --&gt;&lt;div class="objectEmbed"&gt;&lt;a href="/file/view/8edo-pre-improv.ogg/244674815/8edo-pre-improv.ogg" onclick="ws.common.trackFileLink('/file/view/8edo-pre-improv.ogg/244674815/8edo-pre-improv.ogg');"&gt;&lt;img src="http://c1.wikicdn.com/i/mime/32/empty.png" height="32" width="32" alt="8edo-pre-improv.ogg" /&gt;&lt;/a&gt;&lt;div&gt;&lt;a href="/file/view/8edo-pre-improv.ogg/244674815/8edo-pre-improv.ogg" onclick="ws.common.trackFileLink('/file/view/8edo-pre-improv.ogg/244674815/8edo-pre-improv.ogg');" class="filename" title="8edo-pre-improv.ogg"&gt;8edo-pre-improv.ogg&lt;/a&gt;&lt;br /&gt;&lt;ul&gt;&lt;li&gt;&lt;a href="/file/detail/8edo-pre-improv.ogg"&gt;Details&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a href="/file/view/8edo-pre-improv.ogg/244674815/8edo-pre-improv.ogg"&gt;Download&lt;/a&gt;&lt;/li&gt;&lt;li style="color: #666"&gt;1 MB&lt;/li&gt;&lt;/ul&gt;&lt;/div&gt;&lt;/div&gt;&lt;!-- ws:end:WikiTextFileRule:446 --&gt;Preliminary noodling in 8 EDO with ZynAddSubFX synth.(by Cenobyte)&lt;br /&gt;
-&lt;!-- ws:start:WikiTextFileRule:447:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file/darkreflections%28sketch%29.ogg?h=52&amp;amp;w=320&amp;quot; class=&amp;quot;WikiFile&amp;quot; id=&amp;quot;wikitext@@file@@darkreflections(sketch).ogg&amp;quot; title=&amp;quot;File: darkreflections(sketch).ogg&amp;quot; width=&amp;quot;320&amp;quot; height=&amp;quot;52&amp;quot; /&amp;gt; --&gt;&lt;div class="objectEmbed"&gt;&lt;a href="/file/view/darkreflections%28sketch%29.ogg/246401653/darkreflections%28sketch%29.ogg" onclick="ws.common.trackFileLink('/file/view/darkreflections%28sketch%29.ogg/246401653/darkreflections%28sketch%29.ogg');"&gt;&lt;img src="http://c1.wikicdn.com/i/mime/32/empty.png" height="32" width="32" alt="darkreflections(sketch).ogg" /&gt;&lt;/a&gt;&lt;div&gt;&lt;a href="/file/view/darkreflections%28sketch%29.ogg/246401653/darkreflections%28sketch%29.ogg" onclick="ws.common.trackFileLink('/file/view/darkreflections%28sketch%29.ogg/246401653/darkreflections%28sketch%29.ogg');" class="filename" title="darkreflections(sketch).ogg"&gt;darkreflections(sketch).ogg&lt;/a&gt;&lt;br /&gt;&lt;ul&gt;&lt;li&gt;&lt;a href="/file/detail/darkreflections%28sketch%29.ogg"&gt;Details&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a href="/file/view/darkreflections%28sketch%29.ogg/246401653/darkreflections%28sketch%29.ogg"&gt;Download&lt;/a&gt;&lt;/li&gt;&lt;li style="color: #666"&gt;3 MB&lt;/li&gt;&lt;/ul&gt;&lt;/div&gt;&lt;/div&gt;&lt;!-- ws:end:WikiTextFileRule:447 --&gt;8EDO Ukulele (cenobyte)&lt;br /&gt;
-&lt;!-- ws:start:WikiTextFileRule:448:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file/skiphop%28sketch%29.ogg?h=52&amp;amp;w=320&amp;quot; class=&amp;quot;WikiFile&amp;quot; id=&amp;quot;wikitext@@file@@skiphop(sketch).ogg&amp;quot; title=&amp;quot;File: skiphop(sketch).ogg&amp;quot; width=&amp;quot;320&amp;quot; height=&amp;quot;52&amp;quot; /&amp;gt; --&gt;&lt;div class="objectEmbed"&gt;&lt;a href="/file/view/skiphop%28sketch%29.ogg/246401869/skiphop%28sketch%29.ogg" onclick="ws.common.trackFileLink('/file/view/skiphop%28sketch%29.ogg/246401869/skiphop%28sketch%29.ogg');"&gt;&lt;img src="http://c1.wikicdn.com/i/mime/32/empty.png" height="32" width="32" alt="skiphop(sketch).ogg" /&gt;&lt;/a&gt;&lt;div&gt;&lt;a href="/file/view/skiphop%28sketch%29.ogg/246401869/skiphop%28sketch%29.ogg" onclick="ws.common.trackFileLink('/file/view/skiphop%28sketch%29.ogg/246401869/skiphop%28sketch%29.ogg');" class="filename" title="skiphop(sketch).ogg"&gt;skiphop(sketch).ogg&lt;/a&gt;&lt;br /&gt;&lt;ul&gt;&lt;li&gt;&lt;a href="/file/detail/skiphop%28sketch%29.ogg"&gt;Details&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a href="/file/view/skiphop%28sketch%29.ogg/246401869/skiphop%28sketch%29.ogg"&gt;Download&lt;/a&gt;&lt;/li&gt;&lt;li style="color: #666"&gt;3 MB&lt;/li&gt;&lt;/ul&gt;&lt;/div&gt;&lt;/div&gt;&lt;!-- ws:end:WikiTextFileRule:448 --&gt;8EDO Ukulele (cenobyte)&lt;br /&gt;
-&lt;!-- ws:start:WikiTextFileRule:449:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file/octo-icy-pensive%28sketch%29.ogg?h=52&amp;amp;w=320&amp;quot; class=&amp;quot;WikiFile&amp;quot; id=&amp;quot;wikitext@@file@@octo-icy-pensive(sketch).ogg&amp;quot; title=&amp;quot;File: octo-icy-pensive(sketch).ogg&amp;quot; width=&amp;quot;320&amp;quot; height=&amp;quot;52&amp;quot; /&amp;gt; --&gt;&lt;div class="objectEmbed"&gt;&lt;a href="/file/view/octo-icy-pensive%28sketch%29.ogg/246402077/octo-icy-pensive%28sketch%29.ogg" onclick="ws.common.trackFileLink('/file/view/octo-icy-pensive%28sketch%29.ogg/246402077/octo-icy-pensive%28sketch%29.ogg');"&gt;&lt;img src="http://c1.wikicdn.com/i/mime/32/empty.png" height="32" width="32" alt="octo-icy-pensive(sketch).ogg" /&gt;&lt;/a&gt;&lt;div&gt;&lt;a href="/file/view/octo-icy-pensive%28sketch%29.ogg/246402077/octo-icy-pensive%28sketch%29.ogg" onclick="ws.common.trackFileLink('/file/view/octo-icy-pensive%28sketch%29.ogg/246402077/octo-icy-pensive%28sketch%29.ogg');" class="filename" title="octo-icy-pensive(sketch).ogg"&gt;octo-icy-pensive(sketch).ogg&lt;/a&gt;&lt;br /&gt;&lt;ul&gt;&lt;li&gt;&lt;a href="/file/detail/octo-icy-pensive%28sketch%29.ogg"&gt;Details&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a href="/file/view/octo-icy-pensive%28sketch%29.ogg/246402077/octo-icy-pensive%28sketch%29.ogg"&gt;Download&lt;/a&gt;&lt;/li&gt;&lt;li style="color: #666"&gt;2 MB&lt;/li&gt;&lt;/ul&gt;&lt;/div&gt;&lt;/div&gt;&lt;!-- ws:end:WikiTextFileRule:449 --&gt; &lt;!-- ws:start:WikiTextFileRule:450:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file/octo-icy-pensive-echo%28sketch%29.ogg?h=52&amp;amp;w=320&amp;quot; class=&amp;quot;WikiFile&amp;quot; id=&amp;quot;wikitext@@file@@octo-icy-pensive-echo(sketch).ogg&amp;quot; title=&amp;quot;File: octo-icy-pensive-echo(sketch).ogg&amp;quot; width=&amp;quot;320&amp;quot; height=&amp;quot;52&amp;quot; /&amp;gt; --&gt;&lt;div class="objectEmbed"&gt;&lt;a href="/file/view/octo-icy-pensive-echo%28sketch%29.ogg/246402235/octo-icy-pensive-echo%28sketch%29.ogg" onclick="ws.common.trackFileLink('/file/view/octo-icy-pensive-echo%28sketch%29.ogg/246402235/octo-icy-pensive-echo%28sketch%29.ogg');"&gt;&lt;img src="http://c1.wikicdn.com/i/mime/32/empty.png" height="32" width="32" alt="octo-icy-pensive-echo(sketch).ogg" /&gt;&lt;/a&gt;&lt;div&gt;&lt;a href="/file/view/octo-icy-pensive-echo%28sketch%29.ogg/246402235/octo-icy-pensive-echo%28sketch%29.ogg" onclick="ws.common.trackFileLink('/file/view/octo-icy-pensive-echo%28sketch%29.ogg/246402235/octo-icy-pensive-echo%28sketch%29.ogg');" class="filename" title="octo-icy-pensive-echo(sketch).ogg"&gt;octo-icy-pensive-echo(sketch).ogg&lt;/a&gt;&lt;br /&gt;&lt;ul&gt;&lt;li&gt;&lt;a href="/file/detail/octo-icy-pensive-echo%28sketch%29.ogg"&gt;Details&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a href="/file/view/octo-icy-pensive-echo%28sketch%29.ogg/246402235/octo-icy-pensive-echo%28sketch%29.ogg"&gt;Download&lt;/a&gt;&lt;/li&gt;&lt;li style="color: #666"&gt;2 MB&lt;/li&gt;&lt;/ul&gt;&lt;/div&gt;&lt;/div&gt;&lt;!-- ws:end:WikiTextFileRule:450 --&gt;2 versions of the same song, one with echo, one without. (cenobyte)&lt;br /&gt;
-&lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:9:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc4"&gt;&lt;a name="Ear Training"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:9 --&gt;Ear Training&lt;/h1&gt;
-EDO ear-training exercises by Alex Ness available &lt;a class="wiki_link_ext" href="https://drive.google.com/a/playgroundsessions.com/folderview?id=0BwsXD8q2VCYUamtVWEgyRFA5alU&amp;amp;usp=sharing#list" rel="nofollow" target="_blank"&gt;here&lt;/a&gt;.&lt;br /&gt;
-&lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:11:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc5"&gt;&lt;a name="See also"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:11 --&gt;See also&lt;/h1&gt;
- *&lt;a class="wiki_link" href="/Octatonic%20scale"&gt;Octatonic scale&lt;/a&gt; - a scale based on alternating whole and half steps&lt;br /&gt;
-&lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:13:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc6"&gt;&lt;a name="Commas"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:13 --&gt;Commas&lt;/h1&gt;
-EDO tempers out the following commas. (Note: This assumes val &amp;lt; 8 13 19 22 28 30 |). ||~ Comma ||~ Monzo ||~ Cents ||~ Name 1 ||~ Name 2 ||~ Name 3 ||&lt;br /&gt;
+=See also=
+*[[Octatonic_scale|Octatonic scale]] - a scale based on alternating whole and half steps
-&lt;table class="wiki_table"&gt;
+=Commas=
-    &lt;tr&gt;
+EDO tempers out the following commas. (Note: This assumes val &lt; 8 13 19 22 28 30 |). ||~ Comma ||~ Monzo ||~ Cents ||~ Name 1 ||~ Name 2 ||~ Name 3 ||
-        &lt;td style="text-align: center;"&gt;648/625&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;| 3 4 -4 &amp;gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: right;"&gt;62.57&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;Major Diesis&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;Diminished Comma&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td style="text-align: center;"&gt;250/243&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;| 1 -5 3 &amp;gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: right;"&gt;49.17&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;Maximal Diesis&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;Porcupine Comma&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td style="text-align: center;"&gt;78732/78125&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;| 2 9 -7 &amp;gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: right;"&gt;13.40&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;Medium Semi Comma&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;Sensipent Comma&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td style="text-align: center;"&gt;64/63&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;| 6 -2 0 -1 &amp;gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: right;"&gt;27.26&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;Septimal Comma&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;Archytas' Comma&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;Leipziger Komma&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td style="text-align: center;"&gt;875/864&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;| -5 -3 3 1 &amp;gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: right;"&gt;21.90&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;Keema&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td style="text-align: center;"&gt;321489/320000&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;| -9 8 -4 2 &amp;gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: right;"&gt;8.04&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;Varun Isma&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td style="text-align: center;"&gt;6144/6125&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;| 11 1 -3 -2 &amp;gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: right;"&gt;5.36&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;Cornwell&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td style="text-align: center;"&gt;100/99&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;| 2 -2 2 0 -1 &amp;gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: right;"&gt;17.40&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;Ptolemies&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td style="text-align: center;"&gt;121/120&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;| -3 -1 -1 0 2 &amp;gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: right;"&gt;14.37&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;Batista&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td style="text-align: center;"&gt;176/175&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;| 4 0 -2 -1 1 &amp;gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: right;"&gt;9.86&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;Valinor Mo&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td style="text-align: center;"&gt;65536/65219&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;| 16 0 0 -2 -3 &amp;gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: right;"&gt;8.39&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;Organisms&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td style="text-align: center;"&gt;385/384&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;| -7 -1 1 1 1 &amp;gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: right;"&gt;4.50&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;Keenanisma&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td style="text-align: center;"&gt;4000/3993&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;| 5 -1 3 0 -3 &amp;gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: right;"&gt;3.03&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;Wizard Harry&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-&lt;/table&gt;
-&lt;/body&gt;&lt;/html&gt;</pre></div>
+{| class="wikitable"
+|-
+| style="text-align:center;" | 648/625
+| | | 3 4 -4 &gt;
+| style="text-align:right;" | 62.57
+| style="text-align:center;" | Major Diesis
+| style="text-align:center;" | Diminished Comma
+| |
+|-
+| style="text-align:center;" | 250/243
+| | | 1 -5 3 &gt;
+| style="text-align:right;" | 49.17
+| style="text-align:center;" | Maximal Diesis
+| style="text-align:center;" | Porcupine Comma
+| |
+|-
+| style="text-align:center;" | 78732/78125
+| | | 2 9 -7 &gt;
+| style="text-align:right;" | 13.40
+| style="text-align:center;" | Medium Semi Comma
+| style="text-align:center;" | Sensipent Comma
+| |
+|-
+| style="text-align:center;" | 64/63
+| | | 6 -2 0 -1 &gt;
+| style="text-align:right;" | 27.26
+| style="text-align:center;" | Septimal Comma
+| style="text-align:center;" | Archytas' Comma
+| | Leipziger Komma
+|-
+| style="text-align:center;" | 875/864
+| | | -5 -3 3 1 &gt;
+| style="text-align:right;" | 21.90
+| style="text-align:center;" | Keema
+| |
+| |
+|-
+| style="text-align:center;" | 321489/320000
+| | | -9 8 -4 2 &gt;
+| style="text-align:right;" | 8.04
+| style="text-align:center;" | Varun Isma
+| |
+| |
+|-
+| style="text-align:center;" | 6144/6125
+| | | 11 1 -3 -2 &gt;
+| style="text-align:right;" | 5.36
+| style="text-align:center;" | Cornwell
+| |
+| |
+|-
+| style="text-align:center;" | 100/99
+| | | 2 -2 2 0 -1 &gt;
+| style="text-align:right;" | 17.40
+| style="text-align:center;" | Ptolemies
+| |
+| |
+|-
+| style="text-align:center;" | 121/120
+| | | -3 -1 -1 0 2 &gt;
+| style="text-align:right;" | 14.37
+| style="text-align:center;" | Batista
+| |
+| |
+|-
+| style="text-align:center;" | 176/175
+| | | 4 0 -2 -1 1 &gt;
+| style="text-align:right;" | 9.86
+| style="text-align:center;" | Valinor Mo
+| |
+| |
+|-
+| style="text-align:center;" | 65536/65219
+| | | 16 0 0 -2 -3 &gt;
+| style="text-align:right;" | 8.39
+| style="text-align:center;" | Organisms
+| |
+| |
+|-
+| style="text-align:center;" | 385/384
+| | | -7 -1 1 1 1 &gt;
+| style="text-align:right;" | 4.50
+| style="text-align:center;" | Keenanisma
+| |
+| |
+|-
+| style="text-align:center;" | 4000/3993
+| | | 5 -1 3 0 -3 &gt;
+| style="text-align:right;" | 3.03
+| style="text-align:center;" | Wizard Harry
+| |
+| |
+|}
+[[Category:8-tone]]
+[[Category:8edo]]
+[[Category:aaron_andrew_hunt]]
+[[Category:edo]]
+[[Category:listen]]
+[[Category:macrotonal]]
+[[Category:milan_guštar]]
+[[Category:ron_sword]]
+[[Category:scale]]
+[[Category:todo:unify_precision]]