10edo
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10edo, or 10-tone equal temperament, is a tuning system which divides the [[octave]] into 10 equal parts of exactly 120 [[cent]]s. It can be thought of as two circles of [[5edo]] separated by 120 cents (or 5 circles of [[2edo]]). It adds to 5edo a small neutral second (or large minor 2nd) and its inversion a large neutral seventh (or small major 7th); an excellent approximation of [[13_8|13/8]] and its inversion [[16_13|16/13]]; and the droll 600-cent tritone that appears in every even-numbered EDO. Taking the the 360 cent large neutral third as a generator produces a heptatonic [[MOSScales|moment of symmetry scale]] of the form 1 2 1 2 1 2 1 ([[3L 4s|3L 4s - mosh]]). While not an integral or gap edo, it is a [[The Riemann Zeta Function and Tuning#Zeta%20EDO%20lists|zeta peak edo]]. One way to interpret it in terms of a temperament of Just intonation is as a 2.7.13.15 subgroup, such that 105/104, 225/224, and 16807/16384 are tempered out. It can also be treated as a full 13-limit temperament, but it is a closer match to the aforementioned subgroup. [[toc|flat]] ---- =Intervals= || Degree || Cent Values || Approximate Ratios* || Name || || 0 || 0 || 1/1 || unison || || 1 || 120 || 15/14, 16/15, 13/14 || small neutral second/large minor second || || 2 || 240 || 15/13, 8/7 || second/third || || 3 || 360 || 16/13 || large neutral third || || 4 || 480 || 64/49, 169/128 || smaller fourth || || 5 || 600 || 91/64, 169/120 || tritone || || 6 || 720 || 49/32, 256/169 || bigger fifth || || 7 || 840 || 13/8 || neutral sixth || || 8 || 960 || 7/4, 26/15, 125/72 || sixth/seventh || || 9 || 1080 || 15/8, 28/15, 13/7 || small major 7th || || 10 || 1200 || 2/1 || octave || *based on treating 10-EDO as a 2.7.13.15 subgroup temperament. =Linear temperaments= ||~ Periods per octave ||~ Generator ||~ Temperament(s) || || 1 || 1\10 || Messed-up [[Negri|negri]] (or [[Miracle|miracle]]) || || 1 || 3\10 || [[Dicot]]/[[Beatles|beatles]]/neutral thirds scale || || 2 || 1\10 || Messed-up [[pajara]] || || 2 || 2\10 || [[Decimal]] / messed-up [[Lemba|lemba]] || || 5 || 1\10 || [[Blackwood]]/[[blacksmith]] || =Commas= 10 EDO tempers out the following commas. (Note: This assumes the val < 10 16 23 28 35 37 |.) ||~ Comma ||~ Monzo ||~ Value (Cents) ||~ Name 1 ||~ Name 2 ||~ Name 3 || ||= 256/243 || | 8 -5 > ||> 90.22 ||= Limma ||= Pythagorean Minor 2nd || || ||= 16875/16384 || | -14 3 4 > ||> 51.12 ||= Negri Comma ||= Double Augmentation Diesis || || ||= 9931568/9752117 || | -25 7 6 > ||> 31.57 ||= Ampersand's Comma ||= || || ||= 2048/2025 || | 11 -4 -2 > ||> 19.55 ||= Diaschisma ||= || || ||= 525/512 || | -9 1 2 1 > ||> 43.41 ||= Avicennma ||= Avicenna's Enharmonic Diesis || || ||= 49/48 || | -4 -1 0 2 > ||> 35.70 ||= Slendro Diesis ||= || || ||= 50/49 || | 1 0 2 -2 > ||> 34.98 ||= Tritonic Diesis ||= Jubilisma || || ||= 686/675 || | 1 -3 -2 3 > ||> 27.99 ||= Senga ||= || || ||= 64/63 || | 6 -2 0 -1 > ||> 27.26 ||= Septimal Comma ||= Archytas' Comma || Leipziger Komma || ||= 9859966/9733137 || | -10 7 8 -7 > ||> 22.41 ||= Blackjackisma ||= || || ||= 1029/1024 || | -10 1 0 3 > ||> 8.43 ||= Gamelisma ||= || || ||= 225/224 || | -5 2 2 -1 > ||> 7.71 ||= Septimal Kleisma ||= Marvel Comma || || ||= 16875/16807 || | 0 3 4 -5 > ||> 6.99 ||= Mirkwai ||= || || ||= 6772805/6751042 || | 11 -10 -10 10 > ||> 5.57 ||= Linus ||= || || ||= 2401/2400 || | -5 -1 -2 4 > ||> 0.72 ||= Breedsma ||= || || ||= 243/242 || | -1 5 0 0 -2 > ||> 7.14 ||= Rastma ||= || || ||= 385/384 || | -7 -1 1 1 1 > ||> 4.50 ||= Keenanisma ||= || || ||= 441/440 || | -3 2 -1 2 -1 > ||> 3.93 ||= Werckisma ||= || || ||= 540/539 || | 2 3 1 -2 -1 > ||> 3.21 ||= Swetisma ||= || || ||= 3025/3024 || | -4 -3 2 -1 2 > ||> 0.57 ||= Lehmerisma ||= || || ||= 91/90 || | -1 -2 -1 1 0 1 > ||> 19.13 ||= Superleap ||= || || ||= 676/675 || | 2 -3 -2 0 0 2 > ||> 2.56 ||= Parizeksma ||= || || =Music= [[http://eceserv0.ece.wisc.edu/%7Esethares/xentone.html|Ten Fingers]] <span class="ymp-btn-page-play ymp-media-0b41d890e4b2e2ea729c8a1c199295e9">[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Sethares/Ten_Fingers.mp3|play]]</span> by [[Bill Sethares]] (synth guitar) [[http://eceserv0.ece.wisc.edu/%7Esethares/xentone.html|Circle of Thirds]] <span class="ymp-btn-page-play ymp-media-86d97882546354d45034d3c272cbb56c">[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Sethares/Circle_of_Thirds.mp3|play]]</span> by Bill Sethares (synth ens.) [[http://www.akjmusic.com/works.html|10_fantasy]] <span class="ymp-btn-page-play ymp-media-9ccb949290bc6c1cc7c1a4be8065871d">[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/AKJ/10_fantasy.mp3|play]]</span> by [[Aaron Krister Johnson]] (synth monody) <span class="ymp-btn-page-play ymp-media-edd919cb4d239805e1b5cba4375a1e93">[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Hunt/Prelude%20in%2010ET.mp3|Prelude in 10ET]]</span> by [[Aaron Andrew Hunt]] [[http://www.ziaspace.com/ZIA/mp3s/Future.html|Future]] <span class="ymp-btn-page-play ymp-media-a5c7622ba1020de4aa13d58769a6c357">[[http://ziaspace.com/ZIA/mp3s/Future.mp3|play]]</span> and [[http://www.ziaspace.com/ZIA/mp3s/Sol.html|Sol]] <span class="ymp-btn-page-play ymp-media-aa7c2b6de113578643d9a38ca7aa70e4">[[http://ziaspace.com/ZIA/mp3s/Sol.mp3|play]]</span> by ZIA (synths and voice in 10) <span class="ymp-btn-page-play ymp-media-08eecd4b04b03702c59dba2eb80c1428">[[http://azuma-asobi.com/Music/RhinoPrelude-2003-02-22.mp3|Prelude]]</span> by [[Rick McGowan]] (Rhino synthesizer) <span class="ymp-btn-page-play ymp-media-a9a8a238b39d19122886e0c933d01cca">[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Igs/City%20Of%20The%20Asleep%20-%20Ideas%20on%20the%20Waterfall%20of%20Expression.mp3|Ideas on the Waterfall of Expression]]</span> by [[Iglashion Jones]] (synth) <span class="ymp-btn-page-play ymp-media-1824c99256ed13ed49cba489058a8493">[[http://micro.soonlabel.com/10edo/daily20110713_q49_10_viola_duet_and_gongs.mp3|For two violas and gongs]]</span> by [[@http://www.chrisvaisvil.com|Chris Vaisvil (website)]] [[@http://chrisvaisvil.com/?p=1039|more composition information]] [[file:10preview.ogg]] A sample of orchestral possibilities made using ZynAddSubFx under Linux (cenobyte) [[file:decexperiment.ogg]]3 tracks made in ZynAddSubFx simply mixed in Audacity (cenobyte) =**Instruments**= 10-EDO lends itself exceptionally well to guitar (and other fretted strings), on account of the fact that five of its flat 4ths (at 480 cents) exactly spans two octaves (480*5=2400), meaning the open strings can be uniformly tuned in 4ths. This allows for greater uniformity in chord and scale fingering patterns than in 12-TET, making it exceptionally easy to learn. For instance, the fingering for an "E" chord would be 0-2-2-1-0-0 (low to high), an "A" chord would be 0-0-2-2-1-0, and a "D" chord would be 1-0-0-2-2-1. This is also the case in all EDOs which are multiples of 5, but in 10-EDO it is particularly simple. [[image:Decaphonic_Classic_Guitar.png caption="A Decaphonic (10-EDO) Classical Guitar"]][[image:decaphonic-uke.JPG width="526" height="406"]][[media type="custom" key="10021077"]]
Original HTML content:
<html><head><title>10edo</title></head><body>10edo, or 10-tone equal temperament, is a tuning system which divides the <a class="wiki_link" href="/octave">octave</a> into 10 equal parts of exactly 120 <a class="wiki_link" href="/cent">cent</a>s. It can be thought of as two circles of <a class="wiki_link" href="/5edo">5edo</a> separated by 120 cents (or 5 circles of <a class="wiki_link" href="/2edo">2edo</a>). It adds to 5edo a small neutral second (or large minor 2nd) and its inversion a large neutral seventh (or small major 7th); an excellent approximation of <a class="wiki_link" href="/13_8">13/8</a> and its inversion <a class="wiki_link" href="/16_13">16/13</a>; and the droll 600-cent tritone that appears in every even-numbered EDO. Taking the the 360 cent large neutral third as a generator produces a heptatonic <a class="wiki_link" href="/MOSScales">moment of symmetry scale</a> of the form 1 2 1 2 1 2 1 (<a class="wiki_link" href="/3L%204s">3L 4s - mosh</a>). While not an integral or gap edo, it is a <a class="wiki_link" href="/The%20Riemann%20Zeta%20Function%20and%20Tuning#Zeta%20EDO%20lists">zeta peak edo</a>. One way to interpret it in terms of a temperament of Just intonation is as a 2.7.13.15 subgroup, such that 105/104, 225/224, and 16807/16384 are tempered out. It can also be treated as a full 13-limit temperament, but it is a closer match to the aforementioned subgroup.<br />
<br />
<!-- ws:start:WikiTextTocRule:11:<img id="wikitext@@toc@@flat" class="WikiMedia WikiMediaTocFlat" title="Table of Contents" src="/site/embedthumbnail/toc/flat?w=100&h=16"/> --><!-- ws:end:WikiTextTocRule:11 --><!-- ws:start:WikiTextTocRule:12: --><a href="#Intervals">Intervals</a><!-- ws:end:WikiTextTocRule:12 --><!-- ws:start:WikiTextTocRule:13: --> | <a href="#Linear temperaments">Linear temperaments</a><!-- ws:end:WikiTextTocRule:13 --><!-- ws:start:WikiTextTocRule:14: --> | <a href="#Commas">Commas</a><!-- ws:end:WikiTextTocRule:14 --><!-- ws:start:WikiTextTocRule:15: --> | <a href="#Music">Music</a><!-- ws:end:WikiTextTocRule:15 --><!-- ws:start:WikiTextTocRule:16: --> | <a href="#Instruments">Instruments</a><!-- ws:end:WikiTextTocRule:16 --><!-- ws:start:WikiTextTocRule:17: -->
<!-- ws:end:WikiTextTocRule:17 --><hr />
<br />
<!-- ws:start:WikiTextHeadingRule:1:<h1> --><h1 id="toc0"><a name="Intervals"></a><!-- ws:end:WikiTextHeadingRule:1 -->Intervals</h1>
<table class="wiki_table">
<tr>
<td>Degree<br />
</td>
<td>Cent<br />
Values<br />
</td>
<td>Approximate<br />
Ratios*<br />
</td>
<td>Name<br />
</td>
</tr>
<tr>
<td>0<br />
</td>
<td>0<br />
</td>
<td>1/1<br />
</td>
<td>unison<br />
</td>
</tr>
<tr>
<td>1<br />
</td>
<td>120<br />
</td>
<td>15/14, 16/15, 13/14<br />
</td>
<td>small neutral second/large minor second<br />
</td>
</tr>
<tr>
<td>2<br />
</td>
<td>240<br />
</td>
<td>15/13, 8/7<br />
</td>
<td>second/third<br />
</td>
</tr>
<tr>
<td>3<br />
</td>
<td>360<br />
</td>
<td>16/13<br />
</td>
<td>large neutral third<br />
</td>
</tr>
<tr>
<td>4<br />
</td>
<td>480<br />
</td>
<td>64/49, 169/128<br />
</td>
<td>smaller fourth<br />
</td>
</tr>
<tr>
<td>5<br />
</td>
<td>600<br />
</td>
<td>91/64, 169/120<br />
</td>
<td>tritone<br />
</td>
</tr>
<tr>
<td>6<br />
</td>
<td>720<br />
</td>
<td>49/32, 256/169<br />
</td>
<td>bigger fifth<br />
</td>
</tr>
<tr>
<td>7<br />
</td>
<td>840<br />
</td>
<td>13/8<br />
</td>
<td>neutral sixth<br />
</td>
</tr>
<tr>
<td>8<br />
</td>
<td>960<br />
</td>
<td>7/4, 26/15, 125/72<br />
</td>
<td>sixth/seventh<br />
</td>
</tr>
<tr>
<td>9<br />
</td>
<td>1080<br />
</td>
<td>15/8, 28/15, 13/7<br />
</td>
<td>small major 7th<br />
</td>
</tr>
<tr>
<td>10<br />
</td>
<td>1200<br />
</td>
<td>2/1<br />
</td>
<td>octave<br />
</td>
</tr>
</table>
*based on treating 10-EDO as a 2.7.13.15 subgroup temperament.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:3:<h1> --><h1 id="toc1"><a name="Linear temperaments"></a><!-- ws:end:WikiTextHeadingRule:3 -->Linear temperaments</h1>
<table class="wiki_table">
<tr>
<th>Periods<br />
per octave<br />
</th>
<th>Generator<br />
</th>
<th>Temperament(s)<br />
</th>
</tr>
<tr>
<td>1<br />
</td>
<td>1\10<br />
</td>
<td>Messed-up <a class="wiki_link" href="/Negri">negri</a> (or <a class="wiki_link" href="/Miracle">miracle</a>)<br />
</td>
</tr>
<tr>
<td>1<br />
</td>
<td>3\10<br />
</td>
<td><a class="wiki_link" href="/Dicot">Dicot</a>/<a class="wiki_link" href="/Beatles">beatles</a>/neutral thirds scale<br />
</td>
</tr>
<tr>
<td>2<br />
</td>
<td>1\10<br />
</td>
<td>Messed-up <a class="wiki_link" href="/pajara">pajara</a><br />
</td>
</tr>
<tr>
<td>2<br />
</td>
<td>2\10<br />
</td>
<td><a class="wiki_link" href="/Decimal">Decimal</a> / messed-up <a class="wiki_link" href="/Lemba">lemba</a><br />
</td>
</tr>
<tr>
<td>5<br />
</td>
<td>1\10<br />
</td>
<td><a class="wiki_link" href="/Blackwood">Blackwood</a>/<a class="wiki_link" href="/blacksmith">blacksmith</a><br />
</td>
</tr>
</table>
<!-- ws:start:WikiTextHeadingRule:5:<h1> --><h1 id="toc2"><a name="Commas"></a><!-- ws:end:WikiTextHeadingRule:5 -->Commas</h1>
10 EDO tempers out the following commas. (Note: This assumes the val < 10 16 23 28 35 37 |.)<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;">256/243<br />
</td>
<td>| 8 -5 ><br />
</td>
<td style="text-align: right;">90.22<br />
</td>
<td style="text-align: center;">Limma<br />
</td>
<td style="text-align: center;">Pythagorean Minor 2nd<br />
</td>
<td><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;">9931568/9752117<br />
</td>
<td>| -25 7 6 ><br />
</td>
<td style="text-align: right;">31.57<br />
</td>
<td style="text-align: center;">Ampersand's Comma<br />
</td>
<td style="text-align: center;"><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td style="text-align: center;">2048/2025<br />
</td>
<td>| 11 -4 -2 ><br />
</td>
<td style="text-align: right;">19.55<br />
</td>
<td style="text-align: center;">Diaschisma<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;">Avicennma<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;">50/49<br />
</td>
<td>| 1 0 2 -2 ><br />
</td>
<td style="text-align: right;">34.98<br />
</td>
<td style="text-align: center;">Tritonic Diesis<br />
</td>
<td style="text-align: center;">Jubilisma<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;">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;">9859966/9733137<br />
</td>
<td>| -10 7 8 -7 ><br />
</td>
<td style="text-align: right;">22.41<br />
</td>
<td style="text-align: center;">Blackjackisma<br />
</td>
<td style="text-align: center;"><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td style="text-align: center;">1029/1024<br />
</td>
<td>| -10 1 0 3 ><br />
</td>
<td style="text-align: right;">8.43<br />
</td>
<td style="text-align: center;">Gamelisma<br />
</td>
<td style="text-align: center;"><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;">16875/16807<br />
</td>
<td>| 0 3 4 -5 ><br />
</td>
<td style="text-align: right;">6.99<br />
</td>
<td style="text-align: center;">Mirkwai<br />
</td>
<td style="text-align: center;"><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td style="text-align: center;">6772805/6751042<br />
</td>
<td>| 11 -10 -10 10 ><br />
</td>
<td style="text-align: right;">5.57<br />
</td>
<td style="text-align: center;">Linus<br />
</td>
<td style="text-align: center;"><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td style="text-align: center;">2401/2400<br />
</td>
<td>| -5 -1 -2 4 ><br />
</td>
<td style="text-align: right;">0.72<br />
</td>
<td style="text-align: center;">Breedsma<br />
</td>
<td style="text-align: center;"><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td style="text-align: center;">243/242<br />
</td>
<td>| -1 5 0 0 -2 ><br />
</td>
<td style="text-align: right;">7.14<br />
</td>
<td style="text-align: center;">Rastma<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;">441/440<br />
</td>
<td>| -3 2 -1 2 -1 ><br />
</td>
<td style="text-align: right;">3.93<br />
</td>
<td style="text-align: center;">Werckisma<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;">3025/3024<br />
</td>
<td>| -4 -3 2 -1 2 ><br />
</td>
<td style="text-align: right;">0.57<br />
</td>
<td style="text-align: center;">Lehmerisma<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>
<!-- ws:start:WikiTextHeadingRule:7:<h1> --><h1 id="toc3"><a name="Music"></a><!-- ws:end:WikiTextHeadingRule:7 -->Music</h1>
<a class="wiki_link_ext" href="http://eceserv0.ece.wisc.edu/%7Esethares/xentone.html" rel="nofollow">Ten Fingers</a> <span class="ymp-btn-page-play ymp-media-0b41d890e4b2e2ea729c8a1c199295e9"><a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Sethares/Ten_Fingers.mp3" rel="nofollow">play</a></span> by <a class="wiki_link" href="/Bill%20Sethares">Bill Sethares</a> (synth guitar)<br />
<a class="wiki_link_ext" href="http://eceserv0.ece.wisc.edu/%7Esethares/xentone.html" rel="nofollow">Circle of Thirds</a> <span class="ymp-btn-page-play ymp-media-86d97882546354d45034d3c272cbb56c"><a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Sethares/Circle_of_Thirds.mp3" rel="nofollow">play</a></span> by Bill Sethares (synth ens.)<br />
<a class="wiki_link_ext" href="http://www.akjmusic.com/works.html" rel="nofollow">10_fantasy</a> <span class="ymp-btn-page-play ymp-media-9ccb949290bc6c1cc7c1a4be8065871d"><a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/AKJ/10_fantasy.mp3" rel="nofollow">play</a></span> by <a class="wiki_link" href="/Aaron%20Krister%20Johnson">Aaron Krister Johnson</a> (synth monody)<br />
<span class="ymp-btn-page-play ymp-media-edd919cb4d239805e1b5cba4375a1e93"><a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Hunt/Prelude%20in%2010ET.mp3" rel="nofollow">Prelude in 10ET</a></span> by <a class="wiki_link" href="/Aaron%20Andrew%20Hunt">Aaron Andrew Hunt</a><br />
<a class="wiki_link_ext" href="http://www.ziaspace.com/ZIA/mp3s/Future.html" rel="nofollow">Future</a> <span class="ymp-btn-page-play ymp-media-a5c7622ba1020de4aa13d58769a6c357"><a class="wiki_link_ext" href="http://ziaspace.com/ZIA/mp3s/Future.mp3" rel="nofollow">play</a></span> and <a class="wiki_link_ext" href="http://www.ziaspace.com/ZIA/mp3s/Sol.html" rel="nofollow">Sol</a> <span class="ymp-btn-page-play ymp-media-aa7c2b6de113578643d9a38ca7aa70e4"><a class="wiki_link_ext" href="http://ziaspace.com/ZIA/mp3s/Sol.mp3" rel="nofollow">play</a></span> by ZIA (synths and voice in 10)<br />
<span class="ymp-btn-page-play ymp-media-08eecd4b04b03702c59dba2eb80c1428"><a class="wiki_link_ext" href="http://azuma-asobi.com/Music/RhinoPrelude-2003-02-22.mp3" rel="nofollow">Prelude</a></span> by <a class="wiki_link" href="/Rick%20McGowan">Rick McGowan</a> (Rhino synthesizer)<br />
<span class="ymp-btn-page-play ymp-media-a9a8a238b39d19122886e0c933d01cca"><a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Igs/City%20Of%20The%20Asleep%20-%20Ideas%20on%20the%20Waterfall%20of%20Expression.mp3" rel="nofollow">Ideas on the Waterfall of Expression</a></span> by <a class="wiki_link" href="/Iglashion%20Jones">Iglashion Jones</a> (synth)<br />
<span class="ymp-btn-page-play ymp-media-1824c99256ed13ed49cba489058a8493"><a class="wiki_link_ext" href="http://micro.soonlabel.com/10edo/daily20110713_q49_10_viola_duet_and_gongs.mp3" rel="nofollow">For two violas and gongs</a></span> by <a class="wiki_link_ext" href="http://www.chrisvaisvil.com" rel="nofollow" target="_blank">Chris Vaisvil (website)</a> <a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=1039" rel="nofollow" target="_blank">more composition information</a><br />
<!-- ws:start:WikiTextFileRule:517:<img src="http://www.wikispaces.com/site/embedthumbnail/file/10preview.ogg?h=52&w=320" class="WikiFile" id="wikitext@@file@@10preview.ogg" title="File: 10preview.ogg" width="320" height="52" /> --><div class="objectEmbed"><a href="/file/view/10preview.ogg/246873297/10preview.ogg" onclick="ws.common.trackFileLink('/file/view/10preview.ogg/246873297/10preview.ogg');"><img src="http://www.wikispaces.com/i/mime/32/empty.png" height="32" width="32" alt="10preview.ogg" /></a><div><a href="/file/view/10preview.ogg/246873297/10preview.ogg" onclick="ws.common.trackFileLink('/file/view/10preview.ogg/246873297/10preview.ogg');" class="filename" title="10preview.ogg">10preview.ogg</a><br /><ul><li><a href="/file/detail/10preview.ogg">Details</a></li><li><a href="/file/view/10preview.ogg/246873297/10preview.ogg">Download</a></li><li style="color: #666">3 MB</li></ul></div></div><!-- ws:end:WikiTextFileRule:517 --> A sample of orchestral possibilities made using ZynAddSubFx under Linux (cenobyte)<br />
<!-- ws:start:WikiTextFileRule:518:<img src="http://www.wikispaces.com/site/embedthumbnail/file/decexperiment.ogg?h=52&w=320" class="WikiFile" id="wikitext@@file@@decexperiment.ogg" title="File: decexperiment.ogg" width="320" height="52" /> --><div class="objectEmbed"><a href="/file/view/decexperiment.ogg/246971619/decexperiment.ogg" onclick="ws.common.trackFileLink('/file/view/decexperiment.ogg/246971619/decexperiment.ogg');"><img src="http://www.wikispaces.com/i/mime/32/empty.png" height="32" width="32" alt="decexperiment.ogg" /></a><div><a href="/file/view/decexperiment.ogg/246971619/decexperiment.ogg" onclick="ws.common.trackFileLink('/file/view/decexperiment.ogg/246971619/decexperiment.ogg');" class="filename" title="decexperiment.ogg">decexperiment.ogg</a><br /><ul><li><a href="/file/detail/decexperiment.ogg">Details</a></li><li><a href="/file/view/decexperiment.ogg/246971619/decexperiment.ogg">Download</a></li><li style="color: #666">2 MB</li></ul></div></div><!-- ws:end:WikiTextFileRule:518 -->3 tracks made in ZynAddSubFx simply mixed in Audacity (cenobyte)<br />
<!-- ws:start:WikiTextHeadingRule:9:<h1> --><h1 id="toc4"><a name="Instruments"></a><!-- ws:end:WikiTextHeadingRule:9 --><strong>Instruments</strong></h1>
<br />
10-EDO lends itself exceptionally well to guitar (and other fretted strings), on account of the fact that five of its flat 4ths (at 480 cents) exactly spans two octaves (480*5=2400), meaning the open strings can be uniformly tuned in 4ths. This allows for greater uniformity in chord and scale fingering patterns than in 12-TET, making it exceptionally easy to learn. For instance, the fingering for an "E" chord would be 0-2-2-1-0-0 (low to high), an "A" chord would be 0-0-2-2-1-0, and a "D" chord would be 1-0-0-2-2-1. This is also the case in all EDOs which are multiples of 5, but in 10-EDO it is particularly simple.<br />
<br />
<!-- ws:start:WikiTextLocalImageRule:515:<img src="/file/view/Decaphonic_Classic_Guitar.png/234752078/Decaphonic_Classic_Guitar.png" alt="A Decaphonic (10-EDO) Classical Guitar" title="A Decaphonic (10-EDO) Classical Guitar" /> --><table class="captionBox"><tr><td class="captionedImage"><img src="/file/view/Decaphonic_Classic_Guitar.png/234752078/Decaphonic_Classic_Guitar.png" alt="Decaphonic_Classic_Guitar.png" title="Decaphonic_Classic_Guitar.png" /></td></tr><tr><td class="imageCaption">A Decaphonic (10-EDO) Classical Guitar</td></tr></table><!-- ws:end:WikiTextLocalImageRule:515 --><!-- ws:start:WikiTextLocalImageRule:516:<img src="/file/view/decaphonic-uke.JPG/251070060/526x406/decaphonic-uke.JPG" alt="" title="" style="height: 406px; width: 526px;" /> --><img src="/file/view/decaphonic-uke.JPG/251070060/526x406/decaphonic-uke.JPG" alt="decaphonic-uke.JPG" title="decaphonic-uke.JPG" style="height: 406px; width: 526px;" /><!-- ws:end:WikiTextLocalImageRule:516 --><!-- ws:start:WikiTextMediaRule:0:<img src="http://www.wikispaces.com/site/embedthumbnail/custom/10021077?h=0&w=0" class="WikiMedia WikiMediaCustom" id="wikitext@@media@@type=&quot;custom&quot; key=&quot;10021077&quot;" title="Custom Media"/> --><script type="text/javascript" src="http://webplayer.yahooapis.com/player.js">
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