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Wikispaces>TallKite **Imported revision 602809098 - Original comment: ** |
Wikispaces>xenwolf **Imported revision 602918428 - 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:xenwolf|xenwolf]] and made on <tt>2016-12-30 15:53:06 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>602918428</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> | ||
| Line 55: | Line 55: | ||
==Commas== | ==Commas== | ||
9 EDO tempers out the following commas. (Note: This assumes val < 9 14 21 25 31 33 | 9 EDO tempers out the following commas. (Note: This assumes val < 9 14 21 25 31 33 |.) | ||
||~ Comma ||~ Monzo ||~ Value (Cents) ||~ Name 1 ||~ Name 2 ||~ Name 3 || | ||~ Comma ||~ Monzo ||~ Value (Cents) ||~ Name 1 ||~ Name 2 ||~ Name 3 || | ||
| Line 61: | Line 61: | ||
||= 16875/16384 || | -14 3 4 > ||> 51.12 ||= Negri Comma ||= Double Augmentation Diesis || || | ||= 16875/16384 || | -14 3 4 > ||> 51.12 ||= Negri Comma ||= Double Augmentation Diesis || || | ||
||= 128/125 || | 7 0 -3 > ||> 41.06 ||= Diesis ||= Augmented Comma || || | ||= 128/125 || | 7 0 -3 > ||> 41.06 ||= Diesis ||= Augmented Comma || || | ||
||= | ||= 2109375/2097152 || | -21 3 7 > ||> 10.06 ||= Semicomma ||= Fokker Comma || || | ||
||= 36/35 || | 2 2 -1 -1 > ||> 48.77 ||= Septimal Quarter Tone ||= || || | ||= 36/35 || | 2 2 -1 -1 > ||> 48.77 ||= Septimal Quarter Tone ||= || || | ||
||= 525/512 || | -9 1 2 1 > ||> 43.41 ||= Avicenna ||= Avicenna's Enharmonic Diesis || || | ||= 525/512 || | -9 1 2 1 > ||> 43.41 ||= Avicenna ||= Avicenna's Enharmonic Diesis || || | ||
| Line 314: | Line 314: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc2"><a name="Images-Commas"></a><!-- ws:end:WikiTextHeadingRule:6 -->Commas</h2> | <!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc2"><a name="Images-Commas"></a><!-- ws:end:WikiTextHeadingRule:6 -->Commas</h2> | ||
9 EDO tempers out the following commas. (Note: This assumes val &lt; 9 14 21 25 31 33 | 9 EDO tempers out the following commas. (Note: This assumes val &lt; 9 14 21 25 31 33 |.)<br /> | ||
<br /> | <br /> | ||
| Line 376: | Line 376: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;">2109375/2097152<br /> | ||
</td> | </td> | ||
<td>| -21 3 7 &gt;<br /> | <td>| -21 3 7 &gt;<br /> | ||
Revision as of 15:53, 30 December 2016
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author xenwolf and made on 2016-12-30 15:53:06 UTC.
- The original revision id was 602918428.
- 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;">[[9平均律|日本語]] </span> The 9EDO scale, which divides the octave into nine equal parts each of 133+1/3 cents precisely, has the peculiar property of representing certain [[Harmonic Limit|7-limit]] intervals almost exactly. A 7-limit version of 9EDO goes 1: 27/25 133.238 large limma, BP small semitone 2: 7/6 266.871 septimal minor third 3: 63/50 400.108 quasi-equal major third 4: 49/36 533.742 Arabic lute acute fourth 5: 72/49 666.258 Arabic lute grave fifth 6: 100/63 799.892 quasi-equal minor sixth 7: 12/7 933.129 septimal major sixth 8: 50/27 1066.762 grave major seventh 9: 2/1 1200.000 octave Here the characterizations are taken from [[http://en.wikipedia.org/wiki/Scala_%28program%29|Scala]], which also describes the scale itself as "Pelog Nawanada: Sunda". Chords such as 1/1 - 7/6 - 49/36 - 12/7/1 are therefore natural ones for 9EDO. The above scale generates the [[Just intonation subgroups|just intonation subgroup]] 2.27/25.7/3, which is closely related to 9EDO. =Notation= 9edo can be notated with conventional notation, including the staff, note names, relative notation, etc. in two ways. The first preserves the __melodic__ meaning of sharp/flat, major/minor and aug/dim, in that sharp is higher pitched than flat, and major/aug is wider than minor/dim. The disadvantage to this approach is that conventional interval arithmetic no longer works. e.g. M2 + M2 isn't M3, and D + M2 isn't E. Chord names are different because C - E - G isn't P1 - M3 - P5. The second approach preserves the __harmonic__ meaning of sharp/flat, major/minor and aug/dim, in that the former is always further fifthwards on the chain of fifths than the latter. Sharp is lower in pitch than flat, and major/aug is narrower than minor/dim. While this approach may seem bizarre at first, interval arithmetic and chord names work as usual. Furthermore, conventional 12edo music can be directly translated to 9edo "on the fly". ||= <span style="color: #660000;">[[xenharmonic/Degree|Degree]]</span> ||= [[xenharmonic/Cent|Cent]]s ||= Approximate Ratios ||||= Major wider than minor ||||= Major narrower than minor || ||= 0 ||= 0 ||= 1/1 ||= perfect unison ||= D ||= perfect unison ||= D || ||= 1 ||= 133 ||= 13/12, 12/11 ||= minor 2nd ||= E ||= major 2nd ||= E || ||= 2 ||= 267 ||= 7/6 ||= major 2nd, minor 3rd ||= E#, Fb ||= minor 2nd, major 3rd ||= Eb, F# || ||= 3 ||= 400 ||= 5/4, 9/7 ||= major 3rd ||= F ||= minor 3rd ||= F || ||= 4 ||= 533 ||= 4/3, 11/8 ||= perfect 4th ||= G ||= perfect 4th ||= G || ||= 5 ||= 667 ||= 16/11, 3/2 ||= perfect 5th ||= A ||= perfect 5th ||= A || ||= 6 ||= 800 ||= 14/9, 8/5 ||= minor 6th ||= B ||= major 6th ||= B || ||= 7 ||= 933 ||= 12/7 ||= major 6th, minor 7th ||= B#, Cb ||= minor 6th, major 7th ||= Bb, C# || ||= 8 ||= 1067 ||= 11/6, 24/13 ||= major 7th ||= C ||= minor 7th ||= C || ||= 9 ||= 1200 ||= 2/1 ||= octave ||= D ||= octave ||= D || 9EDO contains a pentatonic [[MOSScales|MOS scale]] -- 2L 3s (1 3 1 3 1) -- with a heptatonic extension -- 2L 5s (1 1 2 1 1 2 1, sometimes called "mavila" or "antidiatonic"). Indonesian pelog scales sometimes use five-tone subsets of a seven-tone superset in a similar way, and it has been suggested that Indonesian gamelan music stems from a [[http://www.neuroscience-of-music.se/pelog%20historical.htm|9EDO tradition]]. [[media type="custom" key="24802430"]] [[file:9ed2-001.svg]] =Images= [[image:9edo wheel.png width="385" height="385"]] ==Commas== 9 EDO tempers out the following commas. (Note: This assumes val < 9 14 21 25 31 33 |.) ||~ Comma ||~ Monzo ||~ Value (Cents) ||~ Name 1 ||~ Name 2 ||~ Name 3 || ||= 135/128 || | -7 3 1 > ||> 92.18 ||= Major Chroma ||= Major Limma || Pelogic Comma || ||= 16875/16384 || | -14 3 4 > ||> 51.12 ||= Negri Comma ||= Double Augmentation Diesis || || ||= 128/125 || | 7 0 -3 > ||> 41.06 ||= Diesis ||= Augmented Comma || || ||= 2109375/2097152 || | -21 3 7 > ||> 10.06 ||= Semicomma ||= Fokker Comma || || ||= 36/35 || | 2 2 -1 -1 > ||> 48.77 ||= Septimal Quarter Tone ||= || || ||= 525/512 || | -9 1 2 1 > ||> 43.41 ||= Avicenna ||= Avicenna's Enharmonic Diesis || || ||= 49/48 || | -4 -1 0 2 > ||> 35.70 ||= Slendro Diesis ||= || || ||= 686/675 || | 1 -3 -2 3 > ||> 27.99 ||= Senga ||= || || ||= 2430/2401 || | 1 5 1 -4 > ||> 20.79 ||= Nuwell ||= || || ||= 1728/1715 || | 6 3 -1 -3 > ||> 13.07 ||= Orwellisma ||= Orwell Comma || || ||= 225/224 || | -5 2 2 -1 > ||> 7.71 ||= Septimal Kleisma ||= Marvel Comma || || ||= 6144/6125 || | 11 1 -3 -2 > ||> 5.36 ||= Porwell ||= || || ||= 65625/65536 || | -16 1 5 1 > ||> 2.35 ||= Horwell ||= || || ||= 99/98 || | -1 2 0 -2 1 > ||> 17.58 ||= Mothwellsma ||= || || ||= 121/120 || | -3 -1 -1 0 2 > ||> 14.37 ||= Biyatisma ||= || || ||= 176/175 || | 4 0 -2 -1 1 > ||> 9.86 ||= Valinorsma ||= || || ||= 385/384 || | -7 -1 1 1 1 > ||> 4.50 ||= Keenanisma ||= || || ||= 540/539 || | 2 3 1 -2 -1 > ||> 3.21 ||= Swetisma ||= || || ||= 91/90 || | -1 -2 -1 1 0 1 > ||> 19.13 ||= Superleap ||= || || ||= 676/675 || | 2 -3 -2 0 0 2 > ||> 2.56 ||= Parizeksma ||= || || =Compositions= * Nocturne in 9tet by [[http://home.snafu.de/djwolf/WorksDescriptive.htm|Daniel Wolf]] * //[[http://www.h-pi.com/mp3/Prelude9ET.mp3|Prelude in 9ET]]// by [[Aaron Andrew Hunt]] * //[[http://micro.soonlabel.com/9-edo/daily20110629_fts_e_guit_9et.mp3|Improvisation for Electric Guitar in 9 edo]]// by [[http://www.chrisvaisvil.com|Chris Vaisvil]][[media type="custom" key="10221463"]] * [[http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/08%20-%208.%209%20octave.mp3|Comets Over Flatland 8]] by [[Randy Winchester]] * [[http://www.youtube.com/watch?v=bDFCsCoaUO4|Nine tones per Octave (9-EDO / 9-TET)]] by [[Ivor Darreg]] * [[http://micro.soonlabel.com/9-edo/daily20111008b_gerbils_at_the_wheel_of_government.mp3|Gerbils at the Wheel of Government]] by [[@http://chrisvaisvil.com/?p=1402|Chris Vaisvil]] (in 9 and 18 edo simultaneously) * [[http://www.seraph.it/dep/det/NewWorld.mp3|New World]] by [[Carlo Serafini]] ([[http://www.seraph.it/blog_files/f533be803cb9ed1efc23fc9e2db10c6f-167.html|blog entry]]) * [[https://soundcloud.com/santiagocosentino/interdimensional-train-ride|Interdimensional Train Ride by Santiago Cosentino]] =Ear Training= 9 EDO ear-training exercises by Alex Ness available [[@https://drive.google.com/a/playgroundsessions.com/folderview?id=0BwsXD8q2VCYUamtVWEgyRFA5alU&usp=sharing#list|here]]. ===**Instruments**=== [[image:IMG_2223-800x600.jpg width="400"]] Ukulele (MicroUke 1.2) set to 9 EDO with 40 lb. test fishing line (by cenobyte)
Original HTML content:
<html><head><title>9edo</title></head><body><span style="display: block; text-align: right;"><a class="wiki_link" href="/9%E5%B9%B3%E5%9D%87%E5%BE%8B">日本語</a><br />
</span><br />
The 9EDO scale, which divides the octave into nine equal parts each of 133+1/3 cents precisely, has the peculiar property of representing certain <a class="wiki_link" href="/Harmonic%20Limit">7-limit</a> intervals almost exactly. A 7-limit version of 9EDO goes<br />
<br />
1: 27/25 133.238 large limma, BP small semitone<br />
2: 7/6 266.871 septimal minor third<br />
3: 63/50 400.108 quasi-equal major third<br />
4: 49/36 533.742 Arabic lute acute fourth<br />
5: 72/49 666.258 Arabic lute grave fifth<br />
6: 100/63 799.892 quasi-equal minor sixth<br />
7: 12/7 933.129 septimal major sixth<br />
8: 50/27 1066.762 grave major seventh<br />
9: 2/1 1200.000 octave<br />
<br />
Here the characterizations are taken from <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Scala_%28program%29" rel="nofollow">Scala</a>, which also describes the scale itself as "Pelog Nawanada: Sunda". Chords such as 1/1 - 7/6 - 49/36 - 12/7/1 are therefore natural ones for 9EDO. The above scale generates the <a class="wiki_link" href="/Just%20intonation%20subgroups">just intonation subgroup</a> 2.27/25.7/3, which is closely related to 9EDO.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:2:<h1> --><h1 id="toc0"><a name="Notation"></a><!-- ws:end:WikiTextHeadingRule:2 -->Notation</h1>
<br />
9edo can be notated with conventional notation, including the staff, note names, relative notation, etc. in two ways. The first preserves the <u>melodic</u> meaning of sharp/flat, major/minor and aug/dim, in that sharp is higher pitched than flat, and major/aug is wider than minor/dim. The disadvantage to this approach is that conventional interval arithmetic no longer works. e.g. M2 + M2 isn't M3, and D + M2 isn't E. Chord names are different because C - E - G isn't P1 - M3 - P5.<br />
<br />
The second approach preserves the <u>harmonic</u> meaning of sharp/flat, major/minor and aug/dim, in that the former is always further fifthwards on the chain of fifths than the latter. Sharp is lower in pitch than flat, and major/aug is narrower than minor/dim. While this approach may seem bizarre at first, interval arithmetic and chord names work as usual. Furthermore, conventional 12edo music can be directly translated to 9edo "on the fly".<br />
<br />
<table class="wiki_table">
<tr>
<td style="text-align: center;"><span style="color: #660000;"><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Degree">Degree</a></span><br />
</td>
<td style="text-align: center;"><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Cent">Cent</a>s<br />
</td>
<td style="text-align: center;">Approximate<br />
Ratios<br />
</td>
<td colspan="2" style="text-align: center;">Major wider<br />
than minor<br />
</td>
<td colspan="2" style="text-align: center;">Major narrower<br />
than minor<br />
</td>
</tr>
<tr>
<td style="text-align: center;">0<br />
</td>
<td style="text-align: center;">0<br />
</td>
<td style="text-align: center;">1/1<br />
</td>
<td style="text-align: center;">perfect unison<br />
</td>
<td style="text-align: center;">D<br />
</td>
<td style="text-align: center;">perfect unison<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;">133<br />
</td>
<td style="text-align: center;">13/12, 12/11<br />
</td>
<td style="text-align: center;">minor 2nd<br />
</td>
<td style="text-align: center;">E<br />
</td>
<td style="text-align: center;">major 2nd<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;">267<br />
</td>
<td style="text-align: center;">7/6<br />
</td>
<td style="text-align: center;">major 2nd, minor 3rd<br />
</td>
<td style="text-align: center;">E#, Fb<br />
</td>
<td style="text-align: center;">minor 2nd, major 3rd<br />
</td>
<td style="text-align: center;">Eb, F#<br />
</td>
</tr>
<tr>
<td style="text-align: center;">3<br />
</td>
<td style="text-align: center;">400<br />
</td>
<td style="text-align: center;">5/4, 9/7<br />
</td>
<td style="text-align: center;">major 3rd<br />
</td>
<td style="text-align: center;">F<br />
</td>
<td style="text-align: center;">minor 3rd<br />
</td>
<td style="text-align: center;">F<br />
</td>
</tr>
<tr>
<td style="text-align: center;">4<br />
</td>
<td style="text-align: center;">533<br />
</td>
<td style="text-align: center;">4/3, 11/8<br />
</td>
<td style="text-align: center;">perfect 4th<br />
</td>
<td style="text-align: center;">G<br />
</td>
<td style="text-align: center;">perfect 4th<br />
</td>
<td style="text-align: center;">G<br />
</td>
</tr>
<tr>
<td style="text-align: center;">5<br />
</td>
<td style="text-align: center;">667<br />
</td>
<td style="text-align: center;">16/11, 3/2<br />
</td>
<td style="text-align: center;">perfect 5th<br />
</td>
<td style="text-align: center;">A<br />
</td>
<td style="text-align: center;">perfect 5th<br />
</td>
<td style="text-align: center;">A<br />
</td>
</tr>
<tr>
<td style="text-align: center;">6<br />
</td>
<td style="text-align: center;">800<br />
</td>
<td style="text-align: center;">14/9, 8/5<br />
</td>
<td style="text-align: center;">minor 6th<br />
</td>
<td style="text-align: center;">B<br />
</td>
<td style="text-align: center;">major 6th<br />
</td>
<td style="text-align: center;">B<br />
</td>
</tr>
<tr>
<td style="text-align: center;">7<br />
</td>
<td style="text-align: center;">933<br />
</td>
<td style="text-align: center;">12/7<br />
</td>
<td style="text-align: center;">major 6th, minor 7th<br />
</td>
<td style="text-align: center;">B#, Cb<br />
</td>
<td style="text-align: center;">minor 6th, major 7th<br />
</td>
<td style="text-align: center;">Bb, C#<br />
</td>
</tr>
<tr>
<td style="text-align: center;">8<br />
</td>
<td style="text-align: center;">1067<br />
</td>
<td style="text-align: center;">11/6, 24/13<br />
</td>
<td style="text-align: center;">major 7th<br />
</td>
<td style="text-align: center;">C<br />
</td>
<td style="text-align: center;">minor 7th<br />
</td>
<td style="text-align: center;">C<br />
</td>
</tr>
<tr>
<td style="text-align: center;">9<br />
</td>
<td style="text-align: center;">1200<br />
</td>
<td style="text-align: center;">2/1<br />
</td>
<td style="text-align: center;">octave<br />
</td>
<td style="text-align: center;">D<br />
</td>
<td style="text-align: center;">octave<br />
</td>
<td style="text-align: center;">D<br />
</td>
</tr>
</table>
<br />
<br />
9EDO contains a pentatonic <a class="wiki_link" href="/MOSScales">MOS scale</a> -- 2L 3s (1 3 1 3 1) -- with a heptatonic extension -- 2L 5s (1 1 2 1 1 2 1, sometimes called "mavila" or "antidiatonic"). Indonesian pelog scales sometimes use five-tone subsets of a seven-tone superset in a similar way, and it has been suggested that Indonesian gamelan music stems from a <a class="wiki_link_ext" href="http://www.neuroscience-of-music.se/pelog%20historical.htm" rel="nofollow">9EDO tradition</a>.<br />
<br />
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<br />
<!-- ws:start:WikiTextHeadingRule:4:<h1> --><h1 id="toc1"><a name="Images"></a><!-- ws:end:WikiTextHeadingRule:4 -->Images</h1>
<br />
<!-- ws:start:WikiTextLocalImageRule:502:<img src="/file/view/9edo%20wheel.png/516973334/385x385/9edo%20wheel.png" alt="" title="" style="height: 385px; width: 385px;" /> --><img src="/file/view/9edo%20wheel.png/516973334/385x385/9edo%20wheel.png" alt="9edo wheel.png" title="9edo wheel.png" style="height: 385px; width: 385px;" /><!-- ws:end:WikiTextLocalImageRule:502 --><br />
<br />
<!-- ws:start:WikiTextHeadingRule:6:<h2> --><h2 id="toc2"><a name="Images-Commas"></a><!-- ws:end:WikiTextHeadingRule:6 -->Commas</h2>
9 EDO tempers out the following commas. (Note: This assumes val < 9 14 21 25 31 33 |.)<br />
<br />
<table class="wiki_table">
<tr>
<th>Comma<br />
</th>
<th>Monzo<br />
</th>
<th>Value (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;">135/128<br />
</td>
<td>| -7 3 1 ><br />
</td>
<td style="text-align: right;">92.18<br />
</td>
<td style="text-align: center;">Major Chroma<br />
</td>
<td style="text-align: center;">Major Limma<br />
</td>
<td>Pelogic Comma<br />
</td>
</tr>
<tr>
<td style="text-align: center;">16875/16384<br />
</td>
<td>| -14 3 4 ><br />
</td>
<td style="text-align: right;">51.12<br />
</td>
<td style="text-align: center;">Negri Comma<br />
</td>
<td style="text-align: center;">Double Augmentation Diesis<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td style="text-align: center;">128/125<br />
</td>
<td>| 7 0 -3 ><br />
</td>
<td style="text-align: right;">41.06<br />
</td>
<td style="text-align: center;">Diesis<br />
</td>
<td style="text-align: center;">Augmented Comma<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td style="text-align: center;">2109375/2097152<br />
</td>
<td>| -21 3 7 ><br />
</td>
<td style="text-align: right;">10.06<br />
</td>
<td style="text-align: center;">Semicomma<br />
</td>
<td style="text-align: center;">Fokker Comma<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td style="text-align: center;">36/35<br />
</td>
<td>| 2 2 -1 -1 ><br />
</td>
<td style="text-align: right;">48.77<br />
</td>
<td style="text-align: center;">Septimal Quarter Tone<br />
</td>
<td style="text-align: center;"><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td style="text-align: center;">525/512<br />
</td>
<td>| -9 1 2 1 ><br />
</td>
<td style="text-align: right;">43.41<br />
</td>
<td style="text-align: center;">Avicenna<br />
</td>
<td style="text-align: center;">Avicenna's Enharmonic Diesis<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td style="text-align: center;">49/48<br />
</td>
<td>| -4 -1 0 2 ><br />
</td>
<td style="text-align: right;">35.70<br />
</td>
<td style="text-align: center;">Slendro Diesis<br />
</td>
<td style="text-align: center;"><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td style="text-align: center;">686/675<br />
</td>
<td>| 1 -3 -2 3 ><br />
</td>
<td style="text-align: right;">27.99<br />
</td>
<td style="text-align: center;">Senga<br />
</td>
<td style="text-align: center;"><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td style="text-align: center;">2430/2401<br />
</td>
<td>| 1 5 1 -4 ><br />
</td>
<td style="text-align: right;">20.79<br />
</td>
<td style="text-align: center;">Nuwell<br />
</td>
<td style="text-align: center;"><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td style="text-align: center;">1728/1715<br />
</td>
<td>| 6 3 -1 -3 ><br />
</td>
<td style="text-align: right;">13.07<br />
</td>
<td style="text-align: center;">Orwellisma<br />
</td>
<td style="text-align: center;">Orwell Comma<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td style="text-align: center;">225/224<br />
</td>
<td>| -5 2 2 -1 ><br />
</td>
<td style="text-align: right;">7.71<br />
</td>
<td style="text-align: center;">Septimal Kleisma<br />
</td>
<td style="text-align: center;">Marvel Comma<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;">Porwell<br />
</td>
<td style="text-align: center;"><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td style="text-align: center;">65625/65536<br />
</td>
<td>| -16 1 5 1 ><br />
</td>
<td style="text-align: right;">2.35<br />
</td>
<td style="text-align: center;">Horwell<br />
</td>
<td style="text-align: center;"><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td style="text-align: center;">99/98<br />
</td>
<td>| -1 2 0 -2 1 ><br />
</td>
<td style="text-align: right;">17.58<br />
</td>
<td style="text-align: center;">Mothwellsma<br />
</td>
<td style="text-align: center;"><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;">Biyatisma<br />
</td>
<td style="text-align: center;"><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;">Valinorsma<br />
</td>
<td style="text-align: center;"><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 style="text-align: center;"><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td style="text-align: center;">540/539<br />
</td>
<td>| 2 3 1 -2 -1 ><br />
</td>
<td style="text-align: right;">3.21<br />
</td>
<td style="text-align: center;">Swetisma<br />
</td>
<td style="text-align: center;"><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td style="text-align: center;">91/90<br />
</td>
<td>| -1 -2 -1 1 0 1 ><br />
</td>
<td style="text-align: right;">19.13<br />
</td>
<td style="text-align: center;">Superleap<br />
</td>
<td style="text-align: center;"><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td style="text-align: center;">676/675<br />
</td>
<td>| 2 -3 -2 0 0 2 ><br />
</td>
<td style="text-align: right;">2.56<br />
</td>
<td style="text-align: center;">Parizeksma<br />
</td>
<td style="text-align: center;"><br />
</td>
<td><br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:8:<h1> --><h1 id="toc3"><a name="Compositions"></a><!-- ws:end:WikiTextHeadingRule:8 -->Compositions</h1>
<br />
<ul><li>Nocturne in 9tet by <a class="wiki_link_ext" href="http://home.snafu.de/djwolf/WorksDescriptive.htm" rel="nofollow">Daniel Wolf</a></li><li><em><a class="wiki_link_ext" href="http://www.h-pi.com/mp3/Prelude9ET.mp3" rel="nofollow">Prelude in 9ET</a></em> by <a class="wiki_link" href="/Aaron%20Andrew%20Hunt">Aaron Andrew Hunt</a></li><li><em><a class="wiki_link_ext" href="http://micro.soonlabel.com/9-edo/daily20110629_fts_e_guit_9et.mp3" rel="nofollow">Improvisation for Electric Guitar in 9 edo</a></em> by <a class="wiki_link_ext" href="http://www.chrisvaisvil.com" rel="nofollow">Chris Vaisvil</a><!-- ws:start:WikiTextMediaRule:1:<img src="http://www.wikispaces.com/site/embedthumbnail/custom/10221463?h=0&w=0" class="WikiMedia WikiMediaCustom" id="wikitext@@media@@type=&quot;custom&quot; key=&quot;10221463&quot;" title="Custom Media"/> --><script type="text/javascript" src="http://mediaplayer.yahoo.com/js">
</script><!-- ws:end:WikiTextMediaRule:1 --></li><li><a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/08%20-%208.%209%20octave.mp3" rel="nofollow">Comets Over Flatland 8</a> by <a class="wiki_link" href="/Randy%20Winchester">Randy Winchester</a></li><li><a class="wiki_link_ext" href="http://www.youtube.com/watch?v=bDFCsCoaUO4" rel="nofollow">Nine tones per Octave (9-EDO / 9-TET)</a> by <a class="wiki_link" href="/Ivor%20Darreg">Ivor Darreg</a></li><li><a class="wiki_link_ext" href="http://micro.soonlabel.com/9-edo/daily20111008b_gerbils_at_the_wheel_of_government.mp3" rel="nofollow">Gerbils at the Wheel of Government</a> by <a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=1402" rel="nofollow" target="_blank">Chris Vaisvil</a> (in 9 and 18 edo simultaneously)</li><li><a class="wiki_link_ext" href="http://www.seraph.it/dep/det/NewWorld.mp3" rel="nofollow">New World</a> by <a class="wiki_link" href="/Carlo%20Serafini">Carlo Serafini</a> (<a class="wiki_link_ext" href="http://www.seraph.it/blog_files/f533be803cb9ed1efc23fc9e2db10c6f-167.html" rel="nofollow">blog entry</a>)</li><li><a class="wiki_link_ext" href="https://soundcloud.com/santiagocosentino/interdimensional-train-ride" rel="nofollow">Interdimensional Train Ride by Santiago Cosentino</a></li></ul><br />
<!-- ws:start:WikiTextHeadingRule:10:<h1> --><h1 id="toc4"><a name="Ear Training"></a><!-- ws:end:WikiTextHeadingRule:10 -->Ear Training</h1>
9 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:12:<h3> --><h3 id="toc5"><a name="Ear Training--Instruments"></a><!-- ws:end:WikiTextHeadingRule:12 --><strong>Instruments</strong></h3>
<br />
<!-- ws:start:WikiTextLocalImageRule:503:<img src="/file/view/IMG_2223-800x600.jpg/248485599/IMG_2223-800x600.jpg" alt="" title="" style="width: 400px;" /> --><img src="/file/view/IMG_2223-800x600.jpg/248485599/IMG_2223-800x600.jpg" alt="IMG_2223-800x600.jpg" title="IMG_2223-800x600.jpg" style="width: 400px;" /><!-- ws:end:WikiTextLocalImageRule:503 --><br />
<br />
Ukulele (MicroUke 1.2) set to 9 EDO with 40 lb. test fishing line (by cenobyte)</body></html>