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Wikispaces>PiotrGrochowski **Imported revision 595533286 - Original comment: ** |
Wikispaces>Stephen_Weigel **Imported revision 608829121 - Original comment: ** |
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<h2>IMPORTED REVISION FROM WIKISPACES</h2> | <h2>IMPORTED REVISION FROM WIKISPACES</h2> | ||
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | ||
: This revision was by author [[User: | : This revision was by author [[User:Stephen_Weigel|Stephen_Weigel]] and made on <tt>2017-03-14 17:37:50 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>608829121</tt>.<br> | ||
: The revision comment was: <tt></tt><br> | : 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> | The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | ||
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=Compositions= | =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/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/Fugue8ET.mp3|Fugue in 8ET]]// by Aaron Andrew Hunt | ||
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<!-- ws:start:WikiTextHeadingRule:7:&lt;h1&gt; --><h1 id="toc3"><a name="Compositions"></a><!-- ws:end:WikiTextHeadingRule:7 -->Compositions</h1> | <!-- ws:start:WikiTextHeadingRule:7:&lt;h1&gt; --><h1 id="toc3"><a name="Compositions"></a><!-- ws:end:WikiTextHeadingRule:7 -->Compositions</h1> | ||
<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 /> | <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 /> | <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 /> | <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 /> | ||
Revision as of 17:37, 14 March 2017
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author Stephen_Weigel and made on 2017-03-14 17:37:50 UTC.
- The original revision id was 608829121.
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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]] =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:<img id="wikitext@@toc@@flat" class="WikiMedia WikiMediaTocFlat" title="Table of Contents" src="/site/embedthumbnail/toc/flat?w=100&h=16"/> --><!-- 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:<h1> --><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 "barbaric" 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:<h1> --><h1 id="toc1"><a name="Intervals"></a><!-- ws:end:WikiTextHeadingRule:3 -->Intervals</h1>
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<!-- ws:start:WikiTextMediaRule:0:<img src="http://www.wikispaces.com/site/embedthumbnail/custom/24802404?h=0&w=0" class="WikiMedia WikiMediaCustom" id="wikitext@@media@@type=&quot;custom&quot; key=&quot;24802404&quot;" title="Custom Media"/> --><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 />
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<!-- ws:start:WikiTextFileRule:222:<img src="http://www.wikispaces.com/site/embedthumbnail/file/8ed2-001.svg?h=52&w=320" class="WikiFile" id="wikitext@@file@@8ed2-001.svg" title="File: 8ed2-001.svg" width="320" height="52" /> --><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:222 --><br />
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<!-- ws:start:WikiTextHeadingRule:5:<h1> --><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:223:<img src="http://www.wikispaces.com/site/embedthumbnail/file/08-EDO.scl?h=52&w=320" class="WikiFile" id="wikitext@@file@@08-EDO.scl" title="File: 08-EDO.scl" width="320" height="52" /> --><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:223 --><br />
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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 />
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<!-- ws:start:WikiTextHeadingRule:7:<h1> --><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:224:<img src="http://www.wikispaces.com/site/embedthumbnail/file/8edo-pre-improv.ogg?h=52&w=320" class="WikiFile" id="wikitext@@file@@8edo-pre-improv.ogg" title="File: 8edo-pre-improv.ogg" width="320" height="52" /> --><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:224 -->Preliminary noodling in 8 EDO with ZynAddSubFX synth.(by Cenobyte)<br />
<!-- ws:start:WikiTextFileRule:225:<img src="http://www.wikispaces.com/site/embedthumbnail/file/darkreflections%28sketch%29.ogg?h=52&w=320" class="WikiFile" id="wikitext@@file@@darkreflections(sketch).ogg" title="File: darkreflections(sketch).ogg" width="320" height="52" /> --><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:225 -->8EDO Ukulele (cenobyte)<br />
<!-- ws:start:WikiTextFileRule:226:<img src="http://www.wikispaces.com/site/embedthumbnail/file/skiphop%28sketch%29.ogg?h=52&w=320" class="WikiFile" id="wikitext@@file@@skiphop(sketch).ogg" title="File: skiphop(sketch).ogg" width="320" height="52" /> --><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:226 -->8EDO Ukulele (cenobyte)<br />
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<br />
<!-- ws:start:WikiTextHeadingRule:9:<h1> --><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&usp=sharing#list" rel="nofollow" target="_blank">here</a>.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:11:<h1> --><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:<h1> --><h1 id="toc6"><a name="Commas"></a><!-- ws:end:WikiTextHeadingRule:13 -->Commas</h1>
8 EDO tempers out the following commas. (Note: This assumes val < 8 13 19 22 28 30 |).<br />
<br />
<table class="wiki_table">
<tr>
<th>Comma<br />
</th>
<th>Monzo<br />
</th>
<th>Cents<br />
</th>
<th>Name 1<br />
</th>
<th>Name 2<br />
</th>
<th>Name 3<br />
</th>
</tr>
<tr>
<td style="text-align: center;">648/625<br />
</td>
<td>| 3 4 -4 ><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 ><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 ><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 ><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 ><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 ><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 ><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 ><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 ><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 ><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 ><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 ><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 ><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>