8edo

IMPORTED REVISION FROM WIKISPACES

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

This revision was by author TallKite and made on 2017-07-14 19:18:01 UTC.

The original revision id was 615627297.

The revision comment was:

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

Original Wikitext content:

<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]]



8edo can be notated as a subset of 24edo, using ups and downs. It can also be notated as a subset of 16edo, but this is a less intuitive notation.
||~ __edostep__ ||~ __cents__ ||||~ __24edo subset notation__ ||||~ __16edo subset notation__ ||
||= 0 ||= 0¢ ||= P1 ||= D ||= P1 ||= D ||
||= 1 ||= 150 ||= ~2 ||= Ev ||= M2 ||= E ||
||= 2 ||= 300 ||= m3 ||= F ||= M3 ||= F# ||
||= 3 ||= 450 ||= ^M3 / v4 ||= F#^ / Gv ||= d3 / A4 ||= Fb / G# ||
||= 4 ||= 600 ||= A4 / d5 ||= G# / Ab ||= d4 / A5 ||= Gb / A# ||
||= 5 ||= 750 ||= ^5 / vm6 ||= A^ / Bbv ||= d5 / A6 ||= Ab / B# ||
||= 6 ||= 900 ||= M6 ||= B ||= m6 ||= Bb ||
||= 7 ||= 1050 ||= ~7 ||= C^ ||= m7 ||= C ||
||= 8 ||= 1200 ||= P8 ||= D ||= P8 ||= D ||

8edo 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. 8edo chord names are greatly simplified by using different defaults: ~2, ^M3, v4, ^5, M6, ~7, ~9, v11 and M13. 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 ||


=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]]

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
//[[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.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://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.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.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)
[[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= 
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= 
*[[Octatonic scale]] - a scale based on alternating whole and half steps

=Commas= 
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 ||   ||   ||

Original HTML content:

<html><head><title>8edo</title></head><body><span style="display: block; text-align: right;"><a class="wiki_link" href="/%EF%BC%98%E5%B9%B3%E5%9D%87%E5%BE%8B">日本語</a><br />
</span><br />
<!-- ws:start:WikiTextTocRule:15:&lt;img id=&quot;wikitext@@toc@@flat&quot; class=&quot;WikiMedia WikiMediaTocFlat&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/flat?w=100&amp;h=16&quot;/&gt; --><!-- ws:end:WikiTextTocRule:15 --><!-- ws:start:WikiTextTocRule:16: --><a href="#Theory">Theory</a><!-- ws:end:WikiTextTocRule:16 --><!-- ws:start:WikiTextTocRule:17: --> | <a href="#Intervals">Intervals</a><!-- ws:end:WikiTextTocRule:17 --><!-- ws:start:WikiTextTocRule:18: --> | <a href="#Scala scale file">Scala scale file</a><!-- ws:end:WikiTextTocRule:18 --><!-- ws:start:WikiTextTocRule:19: --> | <a href="#Compositions">Compositions</a><!-- ws:end:WikiTextTocRule:19 --><!-- ws:start:WikiTextTocRule:20: --> | <a href="#Ear Training">Ear Training</a><!-- ws:end:WikiTextTocRule:20 --><!-- ws:start:WikiTextTocRule:21: --> | <a href="#See also">See also</a><!-- ws:end:WikiTextTocRule:21 --><!-- ws:start:WikiTextTocRule:22: --> | <a href="#Commas">Commas</a><!-- ws:end:WikiTextTocRule:22 --><!-- ws:start:WikiTextTocRule:23: -->
<!-- ws:end:WikiTextTocRule:23 --><!-- ws:start:WikiTextHeadingRule:1:&lt;h1&gt; --><h1 id="toc0"><a name="Theory"></a><!-- ws:end:WikiTextHeadingRule:1 -->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 />
<!-- ws:start:WikiTextHeadingRule:3:&lt;h1&gt; --><h1 id="toc1"><a name="Intervals"></a><!-- ws:end:WikiTextHeadingRule:3 -->Intervals</h1>
 <br />
<!-- ws:start:WikiTextMediaRule:0:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/custom/24802404?h=0&amp;w=0&quot; class=&quot;WikiMedia WikiMediaCustom&quot; id=&quot;wikitext@@media@@type=&amp;quot;custom&amp;quot; key=&amp;quot;24802404&amp;quot;&quot; title=&quot;Custom Media&quot;/&gt; --><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><!-- ws:end:WikiTextMediaRule:0 --><br />
<br />
<!-- ws:start:WikiTextFileRule:444:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/file/8ed2-001.svg?h=52&amp;w=320&quot; class=&quot;WikiFile&quot; id=&quot;wikitext@@file@@8ed2-001.svg&quot; title=&quot;File: 8ed2-001.svg&quot; width=&quot;320&quot; height=&quot;52&quot; /&gt; --><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://www.wikispaces.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><!-- ws:end:WikiTextFileRule:444 --><br />
<br />
<br />
<br />
8edo can be notated as a subset of 24edo, using ups and downs. It can also be notated as a subset of 16edo, but this is a less intuitive notation.<br />


<table class="wiki_table">
    <tr>
        <th><u>edostep</u><br />
</th>
        <th><u>cents</u><br />
</th>
        <th colspan="2"><u>24edo subset notation</u><br />
</th>
        <th colspan="2"><u>16edo subset notation</u><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 />
8edo 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. 8edo chord names are greatly simplified by using different defaults: ~2, ^M3, v4, ^5, M6, ~7, ~9, v11 and M13. D7 becomes ^M3, ^5 and ~7.<br />


<table class="wiki_table">
    <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 />
<br />
<!-- ws:start:WikiTextHeadingRule:5:&lt;h1&gt; --><h1 id="toc2"><a name="Scala scale file"></a><!-- ws:end:WikiTextHeadingRule:5 -->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 <!-- ws:start:WikiTextFileRule:445:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/file/08-EDO.scl?h=52&amp;w=320&quot; class=&quot;WikiFile&quot; id=&quot;wikitext@@file@@08-EDO.scl&quot; title=&quot;File: 08-EDO.scl&quot; width=&quot;320&quot; height=&quot;52&quot; /&gt; --><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://www.wikispaces.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><!-- ws:end:WikiTextFileRule:445 --><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 />
<!-- ws:start:WikiTextHeadingRule:7:&lt;h1&gt; --><h1 id="toc3"><a name="Compositions"></a><!-- ws:end:WikiTextHeadingRule:7 -->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 />
<!-- ws:start:WikiTextFileRule:446:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/file/8edo-pre-improv.ogg?h=52&amp;w=320&quot; class=&quot;WikiFile&quot; id=&quot;wikitext@@file@@8edo-pre-improv.ogg&quot; title=&quot;File: 8edo-pre-improv.ogg&quot; width=&quot;320&quot; height=&quot;52&quot; /&gt; --><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://www.wikispaces.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><!-- ws:end:WikiTextFileRule:446 -->Preliminary noodling in 8 EDO with ZynAddSubFX synth.(by Cenobyte)<br />
<!-- ws:start:WikiTextFileRule:447:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/file/darkreflections%28sketch%29.ogg?h=52&amp;w=320&quot; class=&quot;WikiFile&quot; id=&quot;wikitext@@file@@darkreflections(sketch).ogg&quot; title=&quot;File: darkreflections(sketch).ogg&quot; width=&quot;320&quot; height=&quot;52&quot; /&gt; --><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://www.wikispaces.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><!-- ws:end:WikiTextFileRule:447 -->8EDO Ukulele (cenobyte)<br />
<!-- ws:start:WikiTextFileRule:448:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/file/skiphop%28sketch%29.ogg?h=52&amp;w=320&quot; class=&quot;WikiFile&quot; id=&quot;wikitext@@file@@skiphop(sketch).ogg&quot; title=&quot;File: skiphop(sketch).ogg&quot; width=&quot;320&quot; height=&quot;52&quot; /&gt; --><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://www.wikispaces.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><!-- ws:end:WikiTextFileRule:448 -->8EDO Ukulele (cenobyte)<br />
<!-- ws:start:WikiTextFileRule:449:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/file/octo-icy-pensive%28sketch%29.ogg?h=52&amp;w=320&quot; class=&quot;WikiFile&quot; id=&quot;wikitext@@file@@octo-icy-pensive(sketch).ogg&quot; title=&quot;File: octo-icy-pensive(sketch).ogg&quot; width=&quot;320&quot; height=&quot;52&quot; /&gt; --><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://www.wikispaces.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><!-- ws:end:WikiTextFileRule:449 --> <!-- ws:start:WikiTextFileRule:450:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/file/octo-icy-pensive-echo%28sketch%29.ogg?h=52&amp;w=320&quot; class=&quot;WikiFile&quot; id=&quot;wikitext@@file@@octo-icy-pensive-echo(sketch).ogg&quot; title=&quot;File: octo-icy-pensive-echo(sketch).ogg&quot; width=&quot;320&quot; height=&quot;52&quot; /&gt; --><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://www.wikispaces.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><!-- ws:end:WikiTextFileRule:450 -->2 versions of the same song, one with echo, one without. (cenobyte)<br />
<br />
<!-- ws:start:WikiTextHeadingRule:9:&lt;h1&gt; --><h1 id="toc4"><a name="Ear Training"></a><!-- ws:end:WikiTextHeadingRule:9 -->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;usp=sharing#list" rel="nofollow" target="_blank">here</a>.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:11:&lt;h1&gt; --><h1 id="toc5"><a name="See also"></a><!-- ws:end:WikiTextHeadingRule:11 -->See also</h1>
 *<a class="wiki_link" href="/Octatonic%20scale">Octatonic scale</a> - a scale based on alternating whole and half steps<br />
<br />
<!-- ws:start:WikiTextHeadingRule:13:&lt;h1&gt; --><h1 id="toc6"><a name="Commas"></a><!-- ws:end:WikiTextHeadingRule:13 -->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 />


<table class="wiki_table">
    <tr>
        <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>