17edo

From Xenharmonic Wiki
Revision as of 17:22, 20 September 2014 by Wikispaces>akjmicro (**Imported revision 523089348 - Original comment: **)
Jump to navigation Jump to search

IMPORTED REVISION FROM WIKISPACES

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

This revision was by author akjmicro and made on 2014-09-20 17:22:13 UTC.
The original revision id was 523089348.
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="color: #1300ff; font-family: 'Times New Roman',Times,serif; font-size: 113%;">17 tone equal temperament</span>= 
[[toc]]
**17-EDO** divides the octave in 17 equal steps, each 70.588 [[cent|cents]] in size. It is the seventh [[prime numbers|prime]] edo, following [[13edo]] and coming before [[19edo]].

==Theory== 
An introduction to 17-EDO theory, through the eyes of the [[SeventeenTonePianoProject]]: [[SeventeenTheory]].
Another introduction into 17-EDO theory: [[http://xenharmony.wikispaces.com/space/showimage/17puzzle.pdf|The 17-tone Puzzle]] by George Secor.
[[17edo Solfege]]. [[17edo tetrachords]]. [[http://microtonalismo.com/proyecto-xvii|Proyect 17-Perú]]

17-EDO can plausibly be treated as a 2.3.25.7.11.13 subgroup temperament, for which it is quite accurate (though the 7-limit ratios are generally not as well-represented as those of the other integers).

=Intervals= 
||~ Degree ||~ Cents ||~ Approximate
Ratios* ||~ Temperament(s)
generated ||
|| 0 || 0 ||= 1/1 ||   ||
|| 1 || 70.59 ||= 25/24, 26/25, 33/32 ||   ||
|| 2 || 141.18 ||= 13/12, 12/11, 14/13 || [[Bleu]] ||
|| 3 || 211.76 ||= [[9_8|9/8]], 25/22, 8/7, 28/25 || [[Machine]] ||
|| 4 || 282.35 ||= [[13_11|13/11]], 75/64, 7/6 || [[Huxley]] ||
|| 5 || 352.94 ||= [[11_9|11/9]], 16/13 || [[Maqamic]]/[[hemif]] ||
|| 6 || 423.53 ||= 32/25, 33/26, 9/7, 14/11 || [[Skwares]] ||
|| 7 || 494.12 ||= [[4_3|4/3]] || [[Supra]] ||
|| 8 || 564.71 ||= [[11_8|11/8]], 18/13 || [[Progress]] ||
|| 9 || 635.294 ||= [[16_11|16/11]], 13/9, [[23_16|23/16]] || Progress ||
|| 10 || 705.88 ||= [[3_2|3/2]] || Supra ||
|| 11 || 776.47 ||= 25/16, 52/33, 14/9, [[11_7|11/7]] || Skwares ||
|| 12 || 847.06 ||= [[13_8|13/8]], 18/11 || Maqamic/hemif ||
|| 13 || 917.65 ||= 22/13, 128/75, [[12_7|12/7]] || Huxley ||
|| 14 || 988.24 ||= [[16_9|16/9]], 44/25, 7/4, 25/14 || Machine ||
|| 15 || 1058.82 ||= [[11_6|11/6]], 24/13, [[13_7|13/7]] || Bleu ||
|| 16 || 1129.41 ||= 25/13, 48/25, 64/33 ||   ||
|| 17 || 1200 ||= [[2_1|2/1]] ||   ||

==Intervals by 17c val error== 
|| Interval || Error ||
|| 18/13 || 1.324 ||
|| 13/12 || 2.604 ||
|| 4/3 || -3.927 ||
|| 11/9 || 5.533 ||
|| 14/11 || 6.021 ||
|| 16/13 || -6.531 ||
|| 13/11 || -6.857 ||
|| 9/8 || 7.855 ||
|| 12/11 || -9.461 ||
|| 9/7 || -11.555 ||
|| 14/13 || 12.878 ||
|| 11/8 || 13.388 ||
|| 7/6 || 15.482 ||
|| 7/5 || -17.806 ||
|| 8/7 || -19.409 ||
|| 15/14 || 21.734 ||
|| 11/10 || -23.828 ||
|| 15/11 || 27.755 ||
|| 10/9 || 29.361 ||
|| 13/10 || -30.685 ||
|| 6/5 || -33.288 ||
|| 15/13 || 34.612 ||
|| 5/4 || 37.216 ||
|| 16/15 || -41.143 ||

[[media type="custom" key="24810186"]]
[[file:17ed2-001.svg]]

=Commas= 
17 EDO [[tempering out|tempers out]] the following [[comma]]s. (Note: This assumes [[val]] < 17 27 39 48 59 63 |, cent values ​​rounded to 5 digits.)
||~ Comma ||~ Monzo ||~ Value (Cents) ||~ Name 1 ||~ Name 2 ||~ Name 3 ||
||= <span style="display: block; text-align: center;">134217728/129140163</span> || | 27 -17 > ||> 66.765 || <span style="display: block; text-align: center;">17-Comma</span> ||=   ||   ||
||= 25/24 || |-3 -1 2> ||> 70.762 || Chromatic semitone ||= Dicot comma ||   ||
||= 32805/32768 ||< | -15 8 1 > ||> 1.9537 ||= Schisma ||=   ||=   ||
||= 64/63 ||< | 6 -2 0 -1 > ||> 27.264 ||= Septimal Comma ||= Archytas' Comma ||= Leipziger Komma ||
||= 245/243 ||< | 0 -5 1 2 > ||> 14.191 ||= Sensamagic ||=   ||=   ||
||= 1728/1715 ||< | 6 3 -1 -3 > ||> 13.074 ||= Orwellisma ||= Orwell Comma ||=   ||
||= 420175/419904 ||< | -6 -8 2 5 > ||> 1.1170 ||= Wizma ||=   ||=   ||
||= 99/98 ||< | -1 2 0 -2 1 > ||> 17.576 ||= Mothwellsma ||=   ||=   ||
||= 896/891 ||< | 7 -4 0 1 -1 > ||> 9.6880 ||= Pentacircle ||=   ||=   ||
||= 243/242 ||< | -1 5 0 0 -2 > ||> 7.1391 ||= Rastma ||=   ||=   ||
||= 385/384 ||< | -7 -1 1 1 1 > ||> 4.5026 ||= Keenanisma ||=   ||=   ||
||= <span style="display: block; text-align: center;">525/512</span> ||< <span style="display: block; text-align: left;">| -9 1 2 1 ></span> ||> 43.408 ||= <span style="display: block; text-align: center;">Avicennma</span> ||= Avicenna's Enharmonic Diesis ||=   ||

Note that despite their relatively large size, the 17-comma, the avicennma and the chromatic semitone are all tempered out by the 13-limit patent val, as stated.

=Scales= 
* [[Otonal 17]]
* [[http://www.microtonalismo.com/proyecto-xvii|Blues Peruvian 17edo]]
* [[17edo neutral scale]]
* [[Scorp]]
* [[MOS scales of 17edo]] (horograms)

[[List of 17edo rank two temperaments by badness]]
[[List of edo-distinct 17c rank two temperaments]]

=Music= 
==Compositions== 
* [[http://home.snafu.de/djwolf/PreludeIn17tet.pdf|Prelude]] by [[Daniel Wolf]]
* [[http://www.georghajdu.de/heptadecatonic_drops.html|Heptadecatonic Drops]] by Georg Hajdu
* [[http://www.georghajdu.de/63.html?&L=1%20|Klangmoraste]] by Georg Hajdu
* [[http://www.microtonalismo.com/proyecto-xvii|Charles Loli 17edo]] music for guitar heptadecatonic (2001) and armony inductive microtonaly (1993)
* [[http://microtonalismo.com/|microtonalismo]] Heptadecatonic Peruvian

==Sound files== 
* <span class="ymp-btn-page-play ymp-media-3ece313d36e9307c749e0e3549ece422"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">//[https://soundcloud.com/aaron-krister-johnson/puhlops-and-lauguas-big-adventure|Puhlops and Laugua's Big Adventure]]// </span></span> </span> by [[http://www.untwelve.org/board/#|Aaron Krister Johnson]]
* <span class="ymp-btn-page-play ymp-media-cd2c0c4934993e036385ed158d0617c4"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">//[[http://home.comcast.net/~teamouse/Transformation.mp3|Transformation]]// </span></span> </span> by [[http://home.comcast.net/%7Eteamouse/|Herman Miller]]
* <span class="ymp-btn-page-play ymp-media-c31e19054d7ac007c7b9b339babdd228"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">//[[http://www.emcollective.org/chris/items/17tet/17waltz.mp3|Waltz]]// </span></span> </span> by Christopher Bailey
* <span class="ymp-btn-page-play ymp-media-817b931db5b9d03733d0439eb4c5b365"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">//[[http://www.emcollective.org/chris/items/17Chorus/17tppp4_lostfound.mp3|Lostfound]]// </span></span> </span> by Christopher Bailey
* excerpt from <span class="ymp-btn-page-play ymp-media-2de29bc81b3c87ba3015583ebe32228c"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">//[[http://music.columbia.edu/~chris/sounds/balladei_exc.mp3|Balladei]]// </span></span> </span> (in 17, 29 and 12) by [[http://music.columbia.edu/%7Echris/|Christopher Bailey]] , CD available [[http://www.amazon.com/Christopher-Bailey-Shiau-Uen-Jacob-Rhodebeck/dp/B000TDZSAU/ref=sr_1_19/105-0183009-3913216?ie=UTF8&s=music&qid=1184598550&sr=1-19|here]] .
* <span class="ymp-btn-page-play ymp-media-60b300d674b6179dec2e49769bcd92d2"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">//[[http://www.h-pi.com/mp3/17ET.mp3|Two-Part Invention in 17ET]]// </span></span></span> by Aaron Andrew Hunt
* //[[http://micro.soonlabel.com/gene_ward_smith/Others/McGowan/MSND-Ovtr.mp3|Overture to A Midsummer Night's Dream]]// by [[http://azuma-asobi.com/|Rick McGowan]]
* //[[http://micro.soonlabel.com/gene_ward_smith/Others/McGowan/FairyLullaby-1.mp3|Fairy Lullaby from A Midsummer Night's Dream]]// by [[http://azuma-asobi.com/|Rick McGowan]]
* <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">//[[http://micro.soonlabel.com/gene_ward_smith/Others/Igs/City%20Of%20The%20Asleep%20-%2017-A%20Calamitous%20Simultaneity.mp3|A Calamitous Simultaneity]]// </span> by Igliashon Jones (17edo and 22edo)
* <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">//[[http://micro.soonlabel.com/gene_ward_smith/Others/Igs/First%20Impressions.mp3|First Impressions]]// </span> by Igliashon Jones
* [[@http://micro.soonlabel.com/gene_ward_smith/Others/Igs/I%20Insist.mp3|I Insist]] by Igliashon Jones
* //[[http://archive.org/download/EtudeNo1For2PianosIn17EqualTemperament/EtudeForTwoPianosIn17edo.mp3|Etude no1 for 2 Pianos in 17 Equal Temperament]]// and //[[http://archive.org/download/EtudeNo2For2PianosIn17EqualTemperament/EtudeNo2ForTwoPianosIn17edo.mp3|Etude no2 for 2 Pianos in 17 Equal Temperament]]// Jon Lyle Smith
* A number of compositions from [[http://www.archive.org/details/seventeenTPP_01|seventeen-tone piano project phase I]] , [[SeventeenTPPPhaseTwo|seventeen-tone piano project phase II]], [[SeventeenTPPPhaseThree|seventeen-tone piano project phase III]].
* [[http://www.archive.org/search.php?query=subject%3A%2217-edo%22|17edo]] - 17edo-tagged compositions on www.archive.org
* [[http://soundclick.com/share?songid=8839072|sing a blue]] by Andrew Heathwaite (composed 2008, recorded 2010). This and the other pieces below by Andrew for cümbüş, steel tubes & voice.
* [[http://soundclick.com/share?songid=8839073|stringfinger it everybean]] by Andrew Heathwaite (composed 2008, recorded 2010).
* [[http://soundclick.com/share?songid=8839069|cat feet belly]] by Andrew Heathwaite (composed 2008, recorded 2010).
* <span class="ymp-btn-page-play ymp-media-c1117aea0d7479a1907922962588a201"><span class="ywp-page-play-pause ywp-page-video ywp-link-hover"><span class="ywp-page-play-pause ywp-page-video ywp-link-hover ywp-page-img-link">//[[http://www.youtube.com/watch?v=a9N_T6LNDaE|17 Tone Jam]]// </span></span></span> by Marmalade Man
* [[http://www.youtube.com/results?search_query=17edo&search=tag|youtube videos tagged with 17edo]]
* [[@http://chrisvaisvil.com/?p=784|On the Shores of the Dead Sea blog]] <span class="ymp-btn-page-play ymp-media-58c0d564107bea8b718066b4a846e9a4"><span class="ywp-page-play-pause ywp-page-video ywp-link-hover"><span class="ywp-page-play-pause ywp-page-video ywp-link-hover ywp-page-img-link">//[[http://www.youtube.com/watch?v=D39MVFhb0Ho|video of On the Shores of the Dead Sea]]// </span></span> </span> by Chris Vaisvil
* [[@http://chrisvaisvil.com/?p=466|Only in Disneyland 17 blog]] edo guitar solo <span class="ymp-btn-page-play ymp-media-ed57956200d2220e2dd400299c6c9d82"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">//[[http://micro.soonlabel.com/17-ET/daily20110205-17et-disneyland.mp3|play Only in Disneyland]]// </span></span> </span> by Chris Vaisvil
* [[@http://chrisvaisvil.com/?p=460|17 Reasons I Hate the Blues blog]] <span class="ymp-btn-page-play ymp-media-b9bb77ee97249899bce1c2e34b7ca029"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">//[[http://micro.soonlabel.com/17-ET/daily20110125b-17-reasons-I-hate-the-blues.mp3|play 17 Reasons I Hate the Blues]]// </span></span> </span> by Chris Vaisvil
* [[@http://chrisvaisvil.com/?p=422|Klingon Opera Overture blog]] <span class="ymp-btn-page-play ymp-media-1270ddd333612c93cd386aaa93b59aba"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">//[[http://micro.soonlabel.com/17-ET/daily20110109-albino-17et.mp3|play Klingon Opera Overture]]// </span></span> </span> by Chris Vaisvil
* [[@http://chrisvaisvil.com/?p=298|Seventeen Selfless Notes blog]] <span class="ymp-btn-page-play ymp-media-835371d8b0e3022bd14b58e3c0a6175a"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">//[[http://micro.soonlabel.com/17-ET/if20101028selfless.mp3|play Seventeen Selfless Notes]]// </span></span> </span> by Chris Vaisvil
* [[@http://chrisvaisvil.com/?p=76|17ET Jazz blog]] <span class="ymp-btn-page-play ymp-media-b4292082727ce51de4e72ce8e860e140"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">//[[http://micro.soonlabel.com/17-ET/60x60-4001-1-ver2.mp3|play 17et Jazz]]// </span></span></span> by Chris Vaisvil (60 x 60 winner)
* [[http://chrisvaisvil.com/?p=742|17 Pink Tuxedos blog]] <span class="ymp-btn-page-play ymp-media-20284c23c4ce5614c44285891a72b2b9"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">//[[http://micro.soonlabel.com/17-ET/daily20110416-17_pink-tuxes.mp3|play 17 Pink Tuxedos]]// </span></span></span> by Chris Vaisvil
* [[http://chrisvaisvil.com/?p=706|Devil in the Deep Blue Sea blog]] <span class="ymp-btn-page-play ymp-media-2b49237889b140316b82293bc4e5743c"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">//[[http://micro.soonlabel.com/17-ET/daily20110401-17-2-devil_in_the_deep_blue_sea.mp3|play Devil in the Deep Blue sea]]// </span></span></span> blues collaboration between The Two Regs (vocals / lyrics) and Norm Harris (percussion) and Chris Vaisvil (17 note per octave electric guitar and fretless bass).
* [[http://chrisvaisvil.com/?p=585|Seventeen Years in the Sixties blog]] <span class="ymp-btn-page-play ymp-media-e59982cb3a388488ca0ccb733e7439e7"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">//[[http://micro.soonlabel.com/17-ET/daily20110318-seventeen-years-in-the-sixties.mp3|play Seventeen Years in the Sixties]]// </span></span></span> by Chris Vaisvil
* [[@http://chrisvaisvil.com/?p=699|CT Scan blog]] <span class="ymp-btn-page-play ymp-media-6c6c5ec192c22569d28c8dd09467c623"><span class="ywp-page-play-pause ywp-page-video ywp-link-hover"><span class="ywp-page-play-pause ywp-page-video ywp-link-hover ywp-page-img-link">//[[http://www.youtube.com/watch?v=ZEEuytYwtbo|play video CT Scan]]// </span></span></span> by Chris Vaisvil
* [[http://chrisvaisvil.com/?p=470|Fish and a Grenade blog]] <span class="ymp-btn-page-play ymp-media-d882886a0b66279c7c3aa180aacb7339"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">//[[http://micro.soonlabel.com/17-ET/daily20110208-17-a-fish-and-a-grenade.mp3|play Fish and a Grenade]]// </span></span></span> (parental advisory language) by Chris Vaisvil
* [[@http://chrisvaisvil.com/?p=550|Seventeen Unsteady Hands blog]] <span class="ymp-btn-page-play ymp-media-0623ec5592a422ce10eddb210d094b60"><span class="ywp-page-play-pause ywp-page-video ywp-link-hover"><span class="ywp-page-play-pause ywp-page-video ywp-link-hover ywp-page-img-link">//[[http://www.youtube.com/watch?v=rAKHCqBNhfc|play video of performance of Seventeen Unsteady Hands]]// </span></span></span> by Chris Vaisvil
* [[http://chrisvaisvil.com/?p=38|The Pond blog]] by Chris Vaisvil and <span class="ymp-btn-page-play ymp-media-ad53e2e57d0cedd582013ae5cdd29164"><span class="ywp-page-play-pause ywp-page-video ywp-link-hover"><span class="ywp-page-play-pause ywp-page-video ywp-link-hover ywp-page-img-link">//[[@http://www.youtube.com/watch?v=25sC3_uheyA|video version of The Pond with Japanese Garden ]]// </span></span></span>
* <span class="ymp-btn-page-play ymp-media-ad53e2e57d0cedd582013ae5cdd29164">[[@http://chrisvaisvil.com/?p=305|Graveyard blog]] </span><span class="ymp-btn-page-play ymp-media-7a8cb8e49c18c67a2ea8b60d80c25b21"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">//[[http://micro.soonlabel.com/17-ET/if20101028-graveyard.mp3|play Graveyard]]// </span></span> </span> by Chris Vaisvil
* <span class="ymp-btn-page-play ymp-media-e13a9b281483c4b0a10ba321bb7cc2b4"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">//[[http://micro.soonlabel.com/17-ET/daily20110713_q49_17_brass_voice_choirs.mp3|For Brass and Voice Choirs in 17 edo]]// </span></span></span> by [[@http://chrisvaisvil.com/|Chris Vaisvil ]] [[@http://chrisvaisvil.com/?p=1039|more on the composition]]
* <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">//[[http://micro.soonlabel.com/17-ET/daily20111015-fungi.mp3|And I Became One With My Per Fungi]]// </span></span> by [[@http://chrisvaisvil.com/|Chris Vaisvil]] => [[@http://chrisvaisvil.com/?p=1439|more on composition]]
* <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">//[[http://micro.soonlabel.com/17-ET/20111014-STE-002-counter-intuitive.mp3|counterintuitive (17 edo guitar solo)]]// </span></span> by [[@http://www.chrisvaisvil.com/|Chris Vaisvil]] => [[@http://chrisvaisvil.com/?p=1427|more on composition]]
* [[http://micro.soonlabel.com/gene_ward_smith/Others/Sanchez/No_Love_by_Gregory_Sanchez_1_on_SoundCloud___Hear_the_world_s_sounds.mp3|No Love]] by [[https://soundcloud.com/gregory-sanchez-2/no-love|Gregory Sanchez]]

=Instruments= 
* ====**[[http://www.microtonalismo.com/proyecto-xvii|Guitar Heptadecatonic from Peruvian - Charles Loli and Antonio Huamani]]**==== 
> ====[[image:http://sphotos.ak.fbcdn.net/hphotos-ak-snc4/hs883.snc4/71639_167001659983806_100000219181856_601995_1526184_n.jpg width="706" height="249"]]==== 

* ====**[[http://www.microtonalismo.com/proyecto-xvii|Bass Heptadecatonic from Peruvian - Charles Loli and Antonio Huamani]]**==== 
> ====[[image:http://sphotos.ak.fbcdn.net/hphotos-ak-ash2/hs382.ash2/66019_167001006650538_100000219181856_601987_48585_n.jpg width="689" height="256"]]==== 

* [[@http://chrisvaisvil.com/?p=436|17 note per octave conversion from a "standard" stratocastor copy]] - conversion by Brad Smith

[[image:17P1050829r.JPG]][[media type="custom" key="23473418"]]

Original HTML content:

<html><head><title>17edo</title></head><body><!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc0"><a name="x17 tone equal temperament"></a><!-- ws:end:WikiTextHeadingRule:2 --><span style="color: #1300ff; font-family: 'Times New Roman',Times,serif; font-size: 113%;">17 tone equal temperament</span></h1>
 <!-- ws:start:WikiTextTocRule:30:&lt;img id=&quot;wikitext@@toc@@normal&quot; class=&quot;WikiMedia WikiMediaToc&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/normal?w=225&amp;h=100&quot;/&gt; --><div id="toc"><h1 class="nopad">Table of Contents</h1><!-- ws:end:WikiTextTocRule:30 --><!-- ws:start:WikiTextTocRule:31: --><div style="margin-left: 1em;"><a href="#x17 tone equal temperament">17 tone equal temperament</a></div>
<!-- ws:end:WikiTextTocRule:31 --><!-- ws:start:WikiTextTocRule:32: --><div style="margin-left: 2em;"><a href="#x17 tone equal temperament-Theory">Theory</a></div>
<!-- ws:end:WikiTextTocRule:32 --><!-- ws:start:WikiTextTocRule:33: --><div style="margin-left: 1em;"><a href="#Intervals">Intervals</a></div>
<!-- ws:end:WikiTextTocRule:33 --><!-- ws:start:WikiTextTocRule:34: --><div style="margin-left: 2em;"><a href="#Intervals-Intervals by 17c val error">Intervals by 17c val error</a></div>
<!-- ws:end:WikiTextTocRule:34 --><!-- ws:start:WikiTextTocRule:35: --><div style="margin-left: 1em;"><a href="#Commas">Commas</a></div>
<!-- ws:end:WikiTextTocRule:35 --><!-- ws:start:WikiTextTocRule:36: --><div style="margin-left: 1em;"><a href="#Scales">Scales</a></div>
<!-- ws:end:WikiTextTocRule:36 --><!-- ws:start:WikiTextTocRule:37: --><div style="margin-left: 1em;"><a href="#Music">Music</a></div>
<!-- ws:end:WikiTextTocRule:37 --><!-- ws:start:WikiTextTocRule:38: --><div style="margin-left: 2em;"><a href="#Music-Compositions">Compositions</a></div>
<!-- ws:end:WikiTextTocRule:38 --><!-- ws:start:WikiTextTocRule:39: --><div style="margin-left: 2em;"><a href="#Music-Sound files">Sound files</a></div>
<!-- ws:end:WikiTextTocRule:39 --><!-- ws:start:WikiTextTocRule:40: --><div style="margin-left: 1em;"><a href="#Instruments">Instruments</a></div>
<!-- ws:end:WikiTextTocRule:40 --><!-- ws:start:WikiTextTocRule:41: --><div style="margin-left: 4em;"><a href="#Instruments---Guitar Heptadecatonic from Peruvian - Charles Loli and Antonio Huamani">Guitar Heptadecatonic from Peruvian - Charles Loli and Antonio Huamani</a></div>
<!-- ws:end:WikiTextTocRule:41 --><!-- ws:start:WikiTextTocRule:42: --><div style="margin-left: 4em;"><a href="#toc11"></a></div>
<!-- ws:end:WikiTextTocRule:42 --><!-- ws:start:WikiTextTocRule:43: --><div style="margin-left: 4em;"><a href="#Instruments---Bass Heptadecatonic from Peruvian - Charles Loli and Antonio Huamani">Bass Heptadecatonic from Peruvian - Charles Loli and Antonio Huamani</a></div>
<!-- ws:end:WikiTextTocRule:43 --><!-- ws:start:WikiTextTocRule:44: --><div style="margin-left: 4em;"><a href="#toc13"></a></div>
<!-- ws:end:WikiTextTocRule:44 --><!-- ws:start:WikiTextTocRule:45: --></div>
<!-- ws:end:WikiTextTocRule:45 --><strong>17-EDO</strong> divides the octave in 17 equal steps, each 70.588 <a class="wiki_link" href="/cent">cents</a> in size. It is the seventh <a class="wiki_link" href="/prime%20numbers">prime</a> edo, following <a class="wiki_link" href="/13edo">13edo</a> and coming before <a class="wiki_link" href="/19edo">19edo</a>.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc1"><a name="x17 tone equal temperament-Theory"></a><!-- ws:end:WikiTextHeadingRule:4 -->Theory</h2>
 An introduction to 17-EDO theory, through the eyes of the <a class="wiki_link" href="/SeventeenTonePianoProject">SeventeenTonePianoProject</a>: <a class="wiki_link" href="/SeventeenTheory">SeventeenTheory</a>.<br />
Another introduction into 17-EDO theory: <a class="wiki_link_ext" href="http://xenharmony.wikispaces.com/space/showimage/17puzzle.pdf" rel="nofollow">The 17-tone Puzzle</a> by George Secor.<br />
<a class="wiki_link" href="/17edo%20Solfege">17edo Solfege</a>. <a class="wiki_link" href="/17edo%20tetrachords">17edo tetrachords</a>. <a class="wiki_link_ext" href="http://microtonalismo.com/proyecto-xvii" rel="nofollow">Proyect 17-Perú</a><br />
<br />
17-EDO can plausibly be treated as a 2.3.25.7.11.13 subgroup temperament, for which it is quite accurate (though the 7-limit ratios are generally not as well-represented as those of the other integers).<br />
<br />
<!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc2"><a name="Intervals"></a><!-- ws:end:WikiTextHeadingRule:6 -->Intervals</h1>
 

<table class="wiki_table">
    <tr>
        <th>Degree<br />
</th>
        <th>Cents<br />
</th>
        <th>Approximate<br />
Ratios*<br />
</th>
        <th>Temperament(s)<br />
generated<br />
</th>
    </tr>
    <tr>
        <td>0<br />
</td>
        <td>0<br />
</td>
        <td style="text-align: center;">1/1<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>1<br />
</td>
        <td>70.59<br />
</td>
        <td style="text-align: center;">25/24, 26/25, 33/32<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>2<br />
</td>
        <td>141.18<br />
</td>
        <td style="text-align: center;">13/12, 12/11, 14/13<br />
</td>
        <td><a class="wiki_link" href="/Bleu">Bleu</a><br />
</td>
    </tr>
    <tr>
        <td>3<br />
</td>
        <td>211.76<br />
</td>
        <td style="text-align: center;"><a class="wiki_link" href="/9_8">9/8</a>, 25/22, 8/7, 28/25<br />
</td>
        <td><a class="wiki_link" href="/Machine">Machine</a><br />
</td>
    </tr>
    <tr>
        <td>4<br />
</td>
        <td>282.35<br />
</td>
        <td style="text-align: center;"><a class="wiki_link" href="/13_11">13/11</a>, 75/64, 7/6<br />
</td>
        <td><a class="wiki_link" href="/Huxley">Huxley</a><br />
</td>
    </tr>
    <tr>
        <td>5<br />
</td>
        <td>352.94<br />
</td>
        <td style="text-align: center;"><a class="wiki_link" href="/11_9">11/9</a>, 16/13<br />
</td>
        <td><a class="wiki_link" href="/Maqamic">Maqamic</a>/<a class="wiki_link" href="/hemif">hemif</a><br />
</td>
    </tr>
    <tr>
        <td>6<br />
</td>
        <td>423.53<br />
</td>
        <td style="text-align: center;">32/25, 33/26, 9/7, 14/11<br />
</td>
        <td><a class="wiki_link" href="/Skwares">Skwares</a><br />
</td>
    </tr>
    <tr>
        <td>7<br />
</td>
        <td>494.12<br />
</td>
        <td style="text-align: center;"><a class="wiki_link" href="/4_3">4/3</a><br />
</td>
        <td><a class="wiki_link" href="/Supra">Supra</a><br />
</td>
    </tr>
    <tr>
        <td>8<br />
</td>
        <td>564.71<br />
</td>
        <td style="text-align: center;"><a class="wiki_link" href="/11_8">11/8</a>, 18/13<br />
</td>
        <td><a class="wiki_link" href="/Progress">Progress</a><br />
</td>
    </tr>
    <tr>
        <td>9<br />
</td>
        <td>635.294<br />
</td>
        <td style="text-align: center;"><a class="wiki_link" href="/16_11">16/11</a>, 13/9, <a class="wiki_link" href="/23_16">23/16</a><br />
</td>
        <td>Progress<br />
</td>
    </tr>
    <tr>
        <td>10<br />
</td>
        <td>705.88<br />
</td>
        <td style="text-align: center;"><a class="wiki_link" href="/3_2">3/2</a><br />
</td>
        <td>Supra<br />
</td>
    </tr>
    <tr>
        <td>11<br />
</td>
        <td>776.47<br />
</td>
        <td style="text-align: center;">25/16, 52/33, 14/9, <a class="wiki_link" href="/11_7">11/7</a><br />
</td>
        <td>Skwares<br />
</td>
    </tr>
    <tr>
        <td>12<br />
</td>
        <td>847.06<br />
</td>
        <td style="text-align: center;"><a class="wiki_link" href="/13_8">13/8</a>, 18/11<br />
</td>
        <td>Maqamic/hemif<br />
</td>
    </tr>
    <tr>
        <td>13<br />
</td>
        <td>917.65<br />
</td>
        <td style="text-align: center;">22/13, 128/75, <a class="wiki_link" href="/12_7">12/7</a><br />
</td>
        <td>Huxley<br />
</td>
    </tr>
    <tr>
        <td>14<br />
</td>
        <td>988.24<br />
</td>
        <td style="text-align: center;"><a class="wiki_link" href="/16_9">16/9</a>, 44/25, 7/4, 25/14<br />
</td>
        <td>Machine<br />
</td>
    </tr>
    <tr>
        <td>15<br />
</td>
        <td>1058.82<br />
</td>
        <td style="text-align: center;"><a class="wiki_link" href="/11_6">11/6</a>, 24/13, <a class="wiki_link" href="/13_7">13/7</a><br />
</td>
        <td>Bleu<br />
</td>
    </tr>
    <tr>
        <td>16<br />
</td>
        <td>1129.41<br />
</td>
        <td style="text-align: center;">25/13, 48/25, 64/33<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>17<br />
</td>
        <td>1200<br />
</td>
        <td style="text-align: center;"><a class="wiki_link" href="/2_1">2/1</a><br />
</td>
        <td><br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc3"><a name="Intervals-Intervals by 17c val error"></a><!-- ws:end:WikiTextHeadingRule:8 -->Intervals by 17c val error</h2>
 

<table class="wiki_table">
    <tr>
        <td>Interval<br />
</td>
        <td>Error<br />
</td>
    </tr>
    <tr>
        <td>18/13<br />
</td>
        <td>1.324<br />
</td>
    </tr>
    <tr>
        <td>13/12<br />
</td>
        <td>2.604<br />
</td>
    </tr>
    <tr>
        <td>4/3<br />
</td>
        <td>-3.927<br />
</td>
    </tr>
    <tr>
        <td>11/9<br />
</td>
        <td>5.533<br />
</td>
    </tr>
    <tr>
        <td>14/11<br />
</td>
        <td>6.021<br />
</td>
    </tr>
    <tr>
        <td>16/13<br />
</td>
        <td>-6.531<br />
</td>
    </tr>
    <tr>
        <td>13/11<br />
</td>
        <td>-6.857<br />
</td>
    </tr>
    <tr>
        <td>9/8<br />
</td>
        <td>7.855<br />
</td>
    </tr>
    <tr>
        <td>12/11<br />
</td>
        <td>-9.461<br />
</td>
    </tr>
    <tr>
        <td>9/7<br />
</td>
        <td>-11.555<br />
</td>
    </tr>
    <tr>
        <td>14/13<br />
</td>
        <td>12.878<br />
</td>
    </tr>
    <tr>
        <td>11/8<br />
</td>
        <td>13.388<br />
</td>
    </tr>
    <tr>
        <td>7/6<br />
</td>
        <td>15.482<br />
</td>
    </tr>
    <tr>
        <td>7/5<br />
</td>
        <td>-17.806<br />
</td>
    </tr>
    <tr>
        <td>8/7<br />
</td>
        <td>-19.409<br />
</td>
    </tr>
    <tr>
        <td>15/14<br />
</td>
        <td>21.734<br />
</td>
    </tr>
    <tr>
        <td>11/10<br />
</td>
        <td>-23.828<br />
</td>
    </tr>
    <tr>
        <td>15/11<br />
</td>
        <td>27.755<br />
</td>
    </tr>
    <tr>
        <td>10/9<br />
</td>
        <td>29.361<br />
</td>
    </tr>
    <tr>
        <td>13/10<br />
</td>
        <td>-30.685<br />
</td>
    </tr>
    <tr>
        <td>6/5<br />
</td>
        <td>-33.288<br />
</td>
    </tr>
    <tr>
        <td>15/13<br />
</td>
        <td>34.612<br />
</td>
    </tr>
    <tr>
        <td>5/4<br />
</td>
        <td>37.216<br />
</td>
    </tr>
    <tr>
        <td>16/15<br />
</td>
        <td>-41.143<br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextMediaRule:0:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/custom/24810186?h=0&amp;w=0&quot; class=&quot;WikiMedia WikiMediaCustom&quot; id=&quot;wikitext@@media@@type=&amp;quot;custom&amp;quot; key=&amp;quot;24810186&amp;quot;&quot; title=&quot;Custom Media&quot;/&gt; --><object id="example" type="image/svg+xml" data="http://xenharmonic.wikispaces.com/file/view/17ed2-001.svg">alt : Your browser has no SVG support.</object><!-- ws:end:WikiTextMediaRule:0 --><br />
<!-- ws:start:WikiTextFileRule:691:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/file/17ed2-001.svg?h=52&amp;w=320&quot; class=&quot;WikiFile&quot; id=&quot;wikitext@@file@@17ed2-001.svg&quot; title=&quot;File: 17ed2-001.svg&quot; width=&quot;320&quot; height=&quot;52&quot; /&gt; --><div class="objectEmbed"><a href="/file/view/17ed2-001.svg/480990638/17ed2-001.svg" onclick="ws.common.trackFileLink('/file/view/17ed2-001.svg/480990638/17ed2-001.svg');"><img src="http://www.wikispaces.com/i/mime/32/empty.png" height="32" width="32" alt="17ed2-001.svg" /></a><div><a href="/file/view/17ed2-001.svg/480990638/17ed2-001.svg" onclick="ws.common.trackFileLink('/file/view/17ed2-001.svg/480990638/17ed2-001.svg');" class="filename" title="17ed2-001.svg">17ed2-001.svg</a><br /><ul><li><a href="/file/detail/17ed2-001.svg">Details</a></li><li><a href="/file/view/17ed2-001.svg/480990638/17ed2-001.svg">Download</a></li><li style="color: #666">19 KB</li></ul></div></div><!-- ws:end:WikiTextFileRule:691 --><br />
<br />
<!-- ws:start:WikiTextHeadingRule:10:&lt;h1&gt; --><h1 id="toc4"><a name="Commas"></a><!-- ws:end:WikiTextHeadingRule:10 -->Commas</h1>
 17 EDO <a class="wiki_link" href="/tempering%20out">tempers out</a> the following <a class="wiki_link" href="/comma">comma</a>s. (Note: This assumes <a class="wiki_link" href="/val">val</a> &lt; 17 27 39 48 59 63 |, cent values ​​rounded to 5 digits.)<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;"><span style="display: block; text-align: center;">134217728/129140163</span><br />
</td>
        <td>| 27 -17 &gt;<br />
</td>
        <td style="text-align: right;">66.765<br />
</td>
        <td><span style="display: block; text-align: center;">17-Comma</span><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">25/24<br />
</td>
        <td>|-3 -1 2&gt;<br />
</td>
        <td style="text-align: right;">70.762<br />
</td>
        <td>Chromatic semitone<br />
</td>
        <td style="text-align: center;">Dicot comma<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">32805/32768<br />
</td>
        <td style="text-align: left;">| -15 8 1 &gt;<br />
</td>
        <td style="text-align: right;">1.9537<br />
</td>
        <td style="text-align: center;">Schisma<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">64/63<br />
</td>
        <td style="text-align: left;">| 6 -2 0 -1 &gt;<br />
</td>
        <td style="text-align: right;">27.264<br />
</td>
        <td style="text-align: center;">Septimal Comma<br />
</td>
        <td style="text-align: center;">Archytas' Comma<br />
</td>
        <td style="text-align: center;">Leipziger Komma<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">245/243<br />
</td>
        <td style="text-align: left;">| 0 -5 1 2 &gt;<br />
</td>
        <td style="text-align: right;">14.191<br />
</td>
        <td style="text-align: center;">Sensamagic<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">1728/1715<br />
</td>
        <td style="text-align: left;">| 6 3 -1 -3 &gt;<br />
</td>
        <td style="text-align: right;">13.074<br />
</td>
        <td style="text-align: center;">Orwellisma<br />
</td>
        <td style="text-align: center;">Orwell Comma<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">420175/419904<br />
</td>
        <td style="text-align: left;">| -6 -8 2 5 &gt;<br />
</td>
        <td style="text-align: right;">1.1170<br />
</td>
        <td style="text-align: center;">Wizma<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">99/98<br />
</td>
        <td style="text-align: left;">| -1 2 0 -2 1 &gt;<br />
</td>
        <td style="text-align: right;">17.576<br />
</td>
        <td style="text-align: center;">Mothwellsma<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">896/891<br />
</td>
        <td style="text-align: left;">| 7 -4 0 1 -1 &gt;<br />
</td>
        <td style="text-align: right;">9.6880<br />
</td>
        <td style="text-align: center;">Pentacircle<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">243/242<br />
</td>
        <td style="text-align: left;">| -1 5 0 0 -2 &gt;<br />
</td>
        <td style="text-align: right;">7.1391<br />
</td>
        <td style="text-align: center;">Rastma<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">385/384<br />
</td>
        <td style="text-align: left;">| -7 -1 1 1 1 &gt;<br />
</td>
        <td style="text-align: right;">4.5026<br />
</td>
        <td style="text-align: center;">Keenanisma<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><span style="display: block; text-align: center;">525/512</span><br />
</td>
        <td style="text-align: left;"><span style="display: block; text-align: left;">| -9 1 2 1 &gt;</span><br />
</td>
        <td style="text-align: right;">43.408<br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">Avicennma</span><br />
</td>
        <td style="text-align: center;">Avicenna's Enharmonic Diesis<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
</table>

<br />
Note that despite their relatively large size, the 17-comma, the avicennma and the chromatic semitone are all tempered out by the 13-limit patent val, as stated.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:12:&lt;h1&gt; --><h1 id="toc5"><a name="Scales"></a><!-- ws:end:WikiTextHeadingRule:12 -->Scales</h1>
 <ul><li><a class="wiki_link" href="/Otonal%2017">Otonal 17</a></li><li><a class="wiki_link_ext" href="http://www.microtonalismo.com/proyecto-xvii" rel="nofollow">Blues Peruvian 17edo</a></li><li><a class="wiki_link" href="/17edo%20neutral%20scale">17edo neutral scale</a></li><li><a class="wiki_link" href="/Scorp">Scorp</a></li><li><a class="wiki_link" href="/MOS%20scales%20of%2017edo">MOS scales of 17edo</a> (horograms)</li></ul><br />
<a class="wiki_link" href="/List%20of%2017edo%20rank%20two%20temperaments%20by%20badness">List of 17edo rank two temperaments by badness</a><br />
<a class="wiki_link" href="/List%20of%20edo-distinct%2017c%20rank%20two%20temperaments">List of edo-distinct 17c rank two temperaments</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:14:&lt;h1&gt; --><h1 id="toc6"><a name="Music"></a><!-- ws:end:WikiTextHeadingRule:14 -->Music</h1>
 <!-- ws:start:WikiTextHeadingRule:16:&lt;h2&gt; --><h2 id="toc7"><a name="Music-Compositions"></a><!-- ws:end:WikiTextHeadingRule:16 -->Compositions</h2>
 <ul><li><a class="wiki_link_ext" href="http://home.snafu.de/djwolf/PreludeIn17tet.pdf" rel="nofollow">Prelude</a> by <a class="wiki_link" href="/Daniel%20Wolf">Daniel Wolf</a></li><li><a class="wiki_link_ext" href="http://www.georghajdu.de/heptadecatonic_drops.html" rel="nofollow">Heptadecatonic Drops</a> by Georg Hajdu</li><li><a class="wiki_link_ext" href="http://www.georghajdu.de/63.html?&amp;L=1%20" rel="nofollow">Klangmoraste</a> by Georg Hajdu</li><li><a class="wiki_link_ext" href="http://www.microtonalismo.com/proyecto-xvii" rel="nofollow">Charles Loli 17edo</a> music for guitar heptadecatonic (2001) and armony inductive microtonaly (1993)</li><li><a class="wiki_link_ext" href="http://microtonalismo.com/" rel="nofollow">microtonalismo</a> Heptadecatonic Peruvian</li></ul><br />
<!-- ws:start:WikiTextHeadingRule:18:&lt;h2&gt; --><h2 id="toc8"><a name="Music-Sound files"></a><!-- ws:end:WikiTextHeadingRule:18 -->Sound files</h2>
 <ul><li><span class="ymp-btn-page-play ymp-media-3ece313d36e9307c749e0e3549ece422"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><em>[<!-- ws:start:WikiTextUrlRule:1200:https://soundcloud.com/aaron-krister-johnson/puhlops-and-lauguas-big-adventure --><a class="wiki_link_ext" href="https://soundcloud.com/aaron-krister-johnson/puhlops-and-lauguas-big-adventure" rel="nofollow">https://soundcloud.com/aaron-krister-johnson/puhlops-and-lauguas-big-adventure</a><!-- ws:end:WikiTextUrlRule:1200 -->|Puhlops and Laugua's Big Adventure]]</em> </span></span> </span> by <a class="wiki_link_ext" href="http://www.untwelve.org/board/#" rel="nofollow">Aaron Krister Johnson</a></li><li><span class="ymp-btn-page-play ymp-media-cd2c0c4934993e036385ed158d0617c4"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><em><a class="wiki_link_ext" href="http://home.comcast.net/~teamouse/Transformation.mp3" rel="nofollow">Transformation</a></em> </span></span> </span> by <a class="wiki_link_ext" href="http://home.comcast.net/%7Eteamouse/" rel="nofollow">Herman Miller</a></li><li><span class="ymp-btn-page-play ymp-media-c31e19054d7ac007c7b9b339babdd228"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><em><a class="wiki_link_ext" href="http://www.emcollective.org/chris/items/17tet/17waltz.mp3" rel="nofollow">Waltz</a></em> </span></span> </span> by Christopher Bailey</li><li><span class="ymp-btn-page-play ymp-media-817b931db5b9d03733d0439eb4c5b365"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><em><a class="wiki_link_ext" href="http://www.emcollective.org/chris/items/17Chorus/17tppp4_lostfound.mp3" rel="nofollow">Lostfound</a></em> </span></span> </span> by Christopher Bailey</li><li>excerpt from <span class="ymp-btn-page-play ymp-media-2de29bc81b3c87ba3015583ebe32228c"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><em><a class="wiki_link_ext" href="http://music.columbia.edu/~chris/sounds/balladei_exc.mp3" rel="nofollow">Balladei</a></em> </span></span> </span> (in 17, 29 and 12) by <a class="wiki_link_ext" href="http://music.columbia.edu/%7Echris/" rel="nofollow">Christopher Bailey</a> , CD available <a class="wiki_link_ext" href="http://www.amazon.com/Christopher-Bailey-Shiau-Uen-Jacob-Rhodebeck/dp/B000TDZSAU/ref=sr_1_19/105-0183009-3913216?ie=UTF8&amp;s=music&amp;qid=1184598550&amp;sr=1-19" rel="nofollow">here</a> .</li><li><span class="ymp-btn-page-play ymp-media-60b300d674b6179dec2e49769bcd92d2"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><em><a class="wiki_link_ext" href="http://www.h-pi.com/mp3/17ET.mp3" rel="nofollow">Two-Part Invention in 17ET</a></em> </span></span></span> by Aaron Andrew Hunt</li><li><em><a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/McGowan/MSND-Ovtr.mp3" rel="nofollow">Overture to A Midsummer Night's Dream</a></em> by <a class="wiki_link_ext" href="http://azuma-asobi.com/" rel="nofollow">Rick McGowan</a></li><li><em><a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/McGowan/FairyLullaby-1.mp3" rel="nofollow">Fairy Lullaby from A Midsummer Night's Dream</a></em> by <a class="wiki_link_ext" href="http://azuma-asobi.com/" rel="nofollow">Rick McGowan</a></li><li><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><em><a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Igs/City%20Of%20The%20Asleep%20-%2017-A%20Calamitous%20Simultaneity.mp3" rel="nofollow">A Calamitous Simultaneity</a></em> </span> by Igliashon Jones (17edo and 22edo)</li><li><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><em><a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Igs/First%20Impressions.mp3" rel="nofollow">First Impressions</a></em> </span> by Igliashon Jones</li><li><a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Igs/I%20Insist.mp3" rel="nofollow" target="_blank">I Insist</a> by Igliashon Jones</li><li><em><a class="wiki_link_ext" href="http://archive.org/download/EtudeNo1For2PianosIn17EqualTemperament/EtudeForTwoPianosIn17edo.mp3" rel="nofollow">Etude no1 for 2 Pianos in 17 Equal Temperament</a></em> and <em><a class="wiki_link_ext" href="http://archive.org/download/EtudeNo2For2PianosIn17EqualTemperament/EtudeNo2ForTwoPianosIn17edo.mp3" rel="nofollow">Etude no2 for 2 Pianos in 17 Equal Temperament</a></em> Jon Lyle Smith</li><li>A number of compositions from <a class="wiki_link_ext" href="http://www.archive.org/details/seventeenTPP_01" rel="nofollow">seventeen-tone piano project phase I</a> , <a class="wiki_link" href="/SeventeenTPPPhaseTwo">seventeen-tone piano project phase II</a>, <a class="wiki_link" href="/SeventeenTPPPhaseThree">seventeen-tone piano project phase III</a>.</li><li><a class="wiki_link_ext" href="http://www.archive.org/search.php?query=subject%3A%2217-edo%22" rel="nofollow">17edo</a> - 17edo-tagged compositions on www.archive.org</li><li><a class="wiki_link_ext" href="http://soundclick.com/share?songid=8839072" rel="nofollow">sing a blue</a> by Andrew Heathwaite (composed 2008, recorded 2010). This and the other pieces below by Andrew for cümbüş, steel tubes &amp; voice.</li><li><a class="wiki_link_ext" href="http://soundclick.com/share?songid=8839073" rel="nofollow">stringfinger it everybean</a> by Andrew Heathwaite (composed 2008, recorded 2010).</li><li><a class="wiki_link_ext" href="http://soundclick.com/share?songid=8839069" rel="nofollow">cat feet belly</a> by Andrew Heathwaite (composed 2008, recorded 2010).</li><li><span class="ymp-btn-page-play ymp-media-c1117aea0d7479a1907922962588a201"><span class="ywp-page-play-pause ywp-page-video ywp-link-hover"><span class="ywp-page-play-pause ywp-page-video ywp-link-hover ywp-page-img-link"><em><a class="wiki_link_ext" href="http://www.youtube.com/watch?v=a9N_T6LNDaE" rel="nofollow">17 Tone Jam</a></em> </span></span></span> by Marmalade Man</li><li><a class="wiki_link_ext" href="http://www.youtube.com/results?search_query=17edo&amp;search=tag" rel="nofollow">youtube videos tagged with 17edo</a></li><li><a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=784" rel="nofollow" target="_blank">On the Shores of the Dead Sea blog</a> <span class="ymp-btn-page-play ymp-media-58c0d564107bea8b718066b4a846e9a4"><span class="ywp-page-play-pause ywp-page-video ywp-link-hover"><span class="ywp-page-play-pause ywp-page-video ywp-link-hover ywp-page-img-link"><em><a class="wiki_link_ext" href="http://www.youtube.com/watch?v=D39MVFhb0Ho" rel="nofollow">video of On the Shores of the Dead Sea</a></em> </span></span> </span> by Chris Vaisvil</li><li><a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=466" rel="nofollow" target="_blank">Only in Disneyland 17 blog</a> edo guitar solo <span class="ymp-btn-page-play ymp-media-ed57956200d2220e2dd400299c6c9d82"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><em><a class="wiki_link_ext" href="http://micro.soonlabel.com/17-ET/daily20110205-17et-disneyland.mp3" rel="nofollow">play Only in Disneyland</a></em> </span></span> </span> by Chris Vaisvil</li><li><a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=460" rel="nofollow" target="_blank">17 Reasons I Hate the Blues blog</a> <span class="ymp-btn-page-play ymp-media-b9bb77ee97249899bce1c2e34b7ca029"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><em><a class="wiki_link_ext" href="http://micro.soonlabel.com/17-ET/daily20110125b-17-reasons-I-hate-the-blues.mp3" rel="nofollow">play 17 Reasons I Hate the Blues</a></em> </span></span> </span> by Chris Vaisvil</li><li><a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=422" rel="nofollow" target="_blank">Klingon Opera Overture blog</a> <span class="ymp-btn-page-play ymp-media-1270ddd333612c93cd386aaa93b59aba"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><em><a class="wiki_link_ext" href="http://micro.soonlabel.com/17-ET/daily20110109-albino-17et.mp3" rel="nofollow">play Klingon Opera Overture</a></em> </span></span> </span> by Chris Vaisvil</li><li><a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=298" rel="nofollow" target="_blank">Seventeen Selfless Notes blog</a> <span class="ymp-btn-page-play ymp-media-835371d8b0e3022bd14b58e3c0a6175a"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><em><a class="wiki_link_ext" href="http://micro.soonlabel.com/17-ET/if20101028selfless.mp3" rel="nofollow">play Seventeen Selfless Notes</a></em> </span></span> </span> by Chris Vaisvil</li><li><a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=76" rel="nofollow" target="_blank">17ET Jazz blog</a> <span class="ymp-btn-page-play ymp-media-b4292082727ce51de4e72ce8e860e140"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><em><a class="wiki_link_ext" href="http://micro.soonlabel.com/17-ET/60x60-4001-1-ver2.mp3" rel="nofollow">play 17et Jazz</a></em> </span></span></span> by Chris Vaisvil (60 x 60 winner)</li><li><a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=742" rel="nofollow">17 Pink Tuxedos blog</a> <span class="ymp-btn-page-play ymp-media-20284c23c4ce5614c44285891a72b2b9"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><em><a class="wiki_link_ext" href="http://micro.soonlabel.com/17-ET/daily20110416-17_pink-tuxes.mp3" rel="nofollow">play 17 Pink Tuxedos</a></em> </span></span></span> by Chris Vaisvil</li><li><a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=706" rel="nofollow">Devil in the Deep Blue Sea blog</a> <span class="ymp-btn-page-play ymp-media-2b49237889b140316b82293bc4e5743c"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><em><a class="wiki_link_ext" href="http://micro.soonlabel.com/17-ET/daily20110401-17-2-devil_in_the_deep_blue_sea.mp3" rel="nofollow">play Devil in the Deep Blue sea</a></em> </span></span></span> blues collaboration between The Two Regs (vocals / lyrics) and Norm Harris (percussion) and Chris Vaisvil (17 note per octave electric guitar and fretless bass).</li><li><a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=585" rel="nofollow">Seventeen Years in the Sixties blog</a> <span class="ymp-btn-page-play ymp-media-e59982cb3a388488ca0ccb733e7439e7"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><em><a class="wiki_link_ext" href="http://micro.soonlabel.com/17-ET/daily20110318-seventeen-years-in-the-sixties.mp3" rel="nofollow">play Seventeen Years in the Sixties</a></em> </span></span></span> by Chris Vaisvil</li><li><a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=699" rel="nofollow" target="_blank">CT Scan blog</a> <span class="ymp-btn-page-play ymp-media-6c6c5ec192c22569d28c8dd09467c623"><span class="ywp-page-play-pause ywp-page-video ywp-link-hover"><span class="ywp-page-play-pause ywp-page-video ywp-link-hover ywp-page-img-link"><em><a class="wiki_link_ext" href="http://www.youtube.com/watch?v=ZEEuytYwtbo" rel="nofollow">play video CT Scan</a></em> </span></span></span> by Chris Vaisvil</li><li><a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=470" rel="nofollow">Fish and a Grenade blog</a> <span class="ymp-btn-page-play ymp-media-d882886a0b66279c7c3aa180aacb7339"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><em><a class="wiki_link_ext" href="http://micro.soonlabel.com/17-ET/daily20110208-17-a-fish-and-a-grenade.mp3" rel="nofollow">play Fish and a Grenade</a></em> </span></span></span> (parental advisory language) by Chris Vaisvil</li><li><a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=550" rel="nofollow" target="_blank">Seventeen Unsteady Hands blog</a> <span class="ymp-btn-page-play ymp-media-0623ec5592a422ce10eddb210d094b60"><span class="ywp-page-play-pause ywp-page-video ywp-link-hover"><span class="ywp-page-play-pause ywp-page-video ywp-link-hover ywp-page-img-link"><em><a class="wiki_link_ext" href="http://www.youtube.com/watch?v=rAKHCqBNhfc" rel="nofollow">play video of performance of Seventeen Unsteady Hands</a></em> </span></span></span> by Chris Vaisvil</li><li><a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=38" rel="nofollow">The Pond blog</a> by Chris Vaisvil and <span class="ymp-btn-page-play ymp-media-ad53e2e57d0cedd582013ae5cdd29164"><span class="ywp-page-play-pause ywp-page-video ywp-link-hover"><span class="ywp-page-play-pause ywp-page-video ywp-link-hover ywp-page-img-link"><em><a class="wiki_link_ext" href="http://www.youtube.com/watch?v=25sC3_uheyA" rel="nofollow" target="_blank">video version of The Pond with Japanese Garden </a></em> </span></span></span></li><li><span class="ymp-btn-page-play ymp-media-ad53e2e57d0cedd582013ae5cdd29164"><a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=305" rel="nofollow" target="_blank">Graveyard blog</a> </span><span class="ymp-btn-page-play ymp-media-7a8cb8e49c18c67a2ea8b60d80c25b21"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><em><a class="wiki_link_ext" href="http://micro.soonlabel.com/17-ET/if20101028-graveyard.mp3" rel="nofollow">play Graveyard</a></em> </span></span> </span> by Chris Vaisvil</li><li><span class="ymp-btn-page-play ymp-media-e13a9b281483c4b0a10ba321bb7cc2b4"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><em><a class="wiki_link_ext" href="http://micro.soonlabel.com/17-ET/daily20110713_q49_17_brass_voice_choirs.mp3" rel="nofollow">For Brass and Voice Choirs in 17 edo</a></em> </span></span></span> by <a class="wiki_link_ext" href="http://chrisvaisvil.com/" rel="nofollow" target="_blank">Chris Vaisvil </a> <a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=1039" rel="nofollow" target="_blank">more on the composition</a></li><li><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><em><a class="wiki_link_ext" href="http://micro.soonlabel.com/17-ET/daily20111015-fungi.mp3" rel="nofollow">And I Became One With My Per Fungi</a></em> </span></span> by <a class="wiki_link_ext" href="http://chrisvaisvil.com/" rel="nofollow" target="_blank">Chris Vaisvil</a> =&gt; <a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=1439" rel="nofollow" target="_blank">more on composition</a></li><li><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><em><a class="wiki_link_ext" href="http://micro.soonlabel.com/17-ET/20111014-STE-002-counter-intuitive.mp3" rel="nofollow">counterintuitive (17 edo guitar solo)</a></em> </span></span> by <a class="wiki_link_ext" href="http://www.chrisvaisvil.com/" rel="nofollow" target="_blank">Chris Vaisvil</a> =&gt; <a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=1427" rel="nofollow" target="_blank">more on composition</a></li><li><a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Sanchez/No_Love_by_Gregory_Sanchez_1_on_SoundCloud___Hear_the_world_s_sounds.mp3" rel="nofollow">No Love</a> by <a class="wiki_link_ext" href="https://soundcloud.com/gregory-sanchez-2/no-love" rel="nofollow">Gregory Sanchez</a></li></ul><br />
<!-- ws:start:WikiTextHeadingRule:20:&lt;h1&gt; --><h1 id="toc9"><a name="Instruments"></a><!-- ws:end:WikiTextHeadingRule:20 -->Instruments</h1>
 <ul><li><!-- ws:start:WikiTextHeadingRule:22:&lt;h4&gt; --><h4 id="toc10"><a name="Instruments---Guitar Heptadecatonic from Peruvian - Charles Loli and Antonio Huamani"></a><!-- ws:end:WikiTextHeadingRule:22 --><strong><a class="wiki_link_ext" href="http://www.microtonalismo.com/proyecto-xvii" rel="nofollow">Guitar Heptadecatonic from Peruvian - Charles Loli and Antonio Huamani</a></strong></h4>
<br />
<!-- ws:start:WikiTextHeadingRule:24:&lt;h4&gt; --><h4 id="toc11"><!-- ws:end:WikiTextHeadingRule:24 --><!-- ws:start:WikiTextRemoteImageRule:689:&lt;img src=&quot;http://sphotos.ak.fbcdn.net/hphotos-ak-snc4/hs883.snc4/71639_167001659983806_100000219181856_601995_1526184_n.jpg&quot; alt=&quot;&quot; title=&quot;&quot; style=&quot;height: 249px; width: 706px;&quot; /&gt; --><img src="http://sphotos.ak.fbcdn.net/hphotos-ak-snc4/hs883.snc4/71639_167001659983806_100000219181856_601995_1526184_n.jpg" alt="external image 71639_167001659983806_100000219181856_601995_1526184_n.jpg" title="external image 71639_167001659983806_100000219181856_601995_1526184_n.jpg" style="height: 249px; width: 706px;" /><!-- ws:end:WikiTextRemoteImageRule:689 --></h4>
</li></ul><br />
<ul><li><!-- ws:start:WikiTextHeadingRule:26:&lt;h4&gt; --><h4 id="toc12"><a name="Instruments---Bass Heptadecatonic from Peruvian - Charles Loli and Antonio Huamani"></a><!-- ws:end:WikiTextHeadingRule:26 --><strong><a class="wiki_link_ext" href="http://www.microtonalismo.com/proyecto-xvii" rel="nofollow">Bass Heptadecatonic from Peruvian - Charles Loli and Antonio Huamani</a></strong></h4>
<br />
<!-- ws:start:WikiTextHeadingRule:28:&lt;h4&gt; --><h4 id="toc13"><!-- ws:end:WikiTextHeadingRule:28 --><!-- ws:start:WikiTextRemoteImageRule:690:&lt;img src=&quot;http://sphotos.ak.fbcdn.net/hphotos-ak-ash2/hs382.ash2/66019_167001006650538_100000219181856_601987_48585_n.jpg&quot; alt=&quot;&quot; title=&quot;&quot; style=&quot;height: 256px; width: 689px;&quot; /&gt; --><img src="http://sphotos.ak.fbcdn.net/hphotos-ak-ash2/hs382.ash2/66019_167001006650538_100000219181856_601987_48585_n.jpg" alt="external image 66019_167001006650538_100000219181856_601987_48585_n.jpg" title="external image 66019_167001006650538_100000219181856_601987_48585_n.jpg" style="height: 256px; width: 689px;" /><!-- ws:end:WikiTextRemoteImageRule:690 --></h4>
</li></ul><br />
<ul><li><a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=436" rel="nofollow" target="_blank">17 note per octave conversion from a &quot;standard&quot; stratocastor copy</a> - conversion by Brad Smith</li></ul><br />
<!-- ws:start:WikiTextLocalImageRule:688:&lt;img src=&quot;/file/view/17P1050829r.JPG/199154192/17P1050829r.JPG&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/17P1050829r.JPG/199154192/17P1050829r.JPG" alt="17P1050829r.JPG" title="17P1050829r.JPG" /><!-- ws:end:WikiTextLocalImageRule:688 --><!-- ws:start:WikiTextMediaRule:1:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/custom/23473418?h=0&amp;w=0&quot; class=&quot;WikiMedia WikiMediaCustom&quot; id=&quot;wikitext@@media@@type=&amp;quot;custom&amp;quot; key=&amp;quot;23473418&amp;quot;&quot; title=&quot;Custom Media&quot;/&gt; --><script type="text/javascript" src="http://webplayer.yahooapis.com/player-beta.js">
</script><!-- ws:end:WikiTextMediaRule:1 --></body></html>
Retrieved from "https://en.xen.wiki/index.php?title=17edo&oldid=5649"