「17平均律」の版間の差分
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| es = 17 EDO | | es = 17 EDO | ||
| ja = 17平均律 | | ja = 17平均律 | ||
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'''17平均律''' | '''17平均律'''はオクターブを均等に17分割したものであり、各ステップは約 70.588 [[セント|¢]] である。13平均律に次ぎ19平均律の前となる、7番目の素数平均律である。 | ||
==17平均律の音程と近似値== | ==17平均律の音程と近似値== | ||
| 342行目: | 342行目: | ||
平均律は2.3.25.7.11.13サブグループテンペラメントとしてもっともらしく扱うことができる。それはとても計算されている。7リミット周波数比は一般的に、他の整数と同じぐらい良く現れないけども。 | 平均律は2.3.25.7.11.13サブグループテンペラメントとしてもっともらしく扱うことができる。それはとても計算されている。7リミット周波数比は一般的に、他の整数と同じぐらい良く現れないけども。 | ||
===素数倍音=== | |||
{{harmonics in equal|17}} | |||
==純正音程近似== | |||
===純正音程のマッピング=== | |||
{{q-odd-limit intervals|17}} | |||
==コンマをなだらかにする== | ==コンマをなだらかにする== | ||
17平均律の[[ヴァル]]を {{val|17 27 39 48 59 63}} とみなした時、次のリストのコンマをテンパーアウトする。 | |||
{| class="wikitable" | {| class="wikitable" | ||
| 443行目: | 450行目: | ||
==Scales== | ==Scales== | ||
* [[17平均律律テトラコード]] | |||
<ul><li>[[Otonal_17|Otonal 17]]</li><li>[http://www.microtonalismo.com/proyecto-xvii Blues Peruvian 17edo]</li><li>[[17edo_neutral_scale|17edo neutral scale]]</li><li>[[Scorp|Scorp]]</li><li>[[MOS_scales_of_17edo|MOS scales of 17edo]] (horograms)</li></ul> | <ul><li>[[Otonal_17|Otonal 17]]</li><li>[http://www.microtonalismo.com/proyecto-xvii Blues Peruvian 17edo]</li><li>[[17edo_neutral_scale|17edo neutral scale]]</li><li>[[Scorp|Scorp]]</li><li>[[MOS_scales_of_17edo|MOS scales of 17edo]] (horograms)</li></ul> | ||
| 456行目: | 464行目: | ||
===Sound files=== | ===Sound files=== | ||
<ul><li><span style="">''[https://soundcloud.com/aaron-krister-johnson/puhlops-and-lauguas-big-adventure Puhlops and Laugua's Big Adventure]'' </span> by [http://www.untwelve.org/board |Aaron Krister Johnson]</li><li><span style="">''[https://soundcloud.com/aaron-krister-johnson/adagio-for-margo Adagio for Margo]'' </span> by [http://www.untwelve.org/board Aaron Krister Johnson]</li><li><span style="">''[http://home.comcast.net/%7Eteamouse/Transformation.mp3 Transformation]'' </span> by [http://home.comcast.net/%7Eteamouse/ Herman Miller]</li><li><span style="">''[http://www.emcollective.org/chris/items/17tet/17waltz.mp3 Waltz]'' </span> by Christopher Bailey</li><li><span style="">''[http://www.emcollective.org/chris/items/17Chorus/17tppp4_lostfound.mp3 Lostfound]'' </span> by Christopher Bailey</li><li>excerpt from <span style="">''[http://music.columbia.edu/%7Echris/sounds/balladei_exc.mp3 Balladei]'' </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] .</li><li><span style="">''[http://www.h-pi.com/mp3/17ET.mp3 Two-Part Invention in 17ET]'' </span> by Aaron Andrew Hunt</li><li>''[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]</li><li>''[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]</li><li><span style="">''[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)</li><li><span style="">''[http://micro.soonlabel.com/gene_ward_smith/Others/Igs/First%20Impressions.mp3 First Impressions]'' </span> by Igliashon Jones</li><li>[http://micro.soonlabel.com/gene_ward_smith/Others/Igs/I%20Insist.mp3 I Insist] by Igliashon Jones</li><li>''[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</li><li>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]].</li><li>[http://www.archive.org/search.php?query=subject%3A%2217-edo%22 17edo] - 17edo-tagged compositions on www.archive.org</li><li>[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.</li><li>[http://soundclick.com/share?songid=8839073 stringfinger it everybean] by Andrew Heathwaite (composed 2008, recorded 2010).</li><li>[http://soundclick.com/share?songid=8839069 cat feet belly] by Andrew Heathwaite (composed 2008, recorded 2010).</li><li><span style="">''[http://www.youtube.com/watch?v=a9N_T6LNDaE 17 Tone Jam]'' </span> by Marmalade Man</li><li>[http://www.youtube.com/results?search_query=17edo&search=tag youtube videos tagged with 17edo]</li><li>[http://chrisvaisvil.com/?p=784 On the Shores of the Dead Sea blog] <span style="">''[http://www.youtube.com/watch?v=D39MVFhb0Ho video of On the Shores of the Dead Sea]'' </span> by Chris Vaisvil</li><li>[http://chrisvaisvil.com/?p=466 Only in Disneyland 17 blog] edo guitar solo <span style="">''[http://micro.soonlabel.com/17-ET/daily20110205-17et-disneyland.mp3 play Only in Disneyland]'' </span> by Chris Vaisvil</li><li>[http://chrisvaisvil.com/?p=460 17 Reasons I Hate the Blues blog] <span style="">''[http://micro.soonlabel.com/17-ET/daily20110125b-17-reasons-I-hate-the-blues.mp3 play 17 Reasons I Hate the Blues]'' </span> by Chris Vaisvil</li><li>[http://chrisvaisvil.com/?p=422 Klingon Opera Overture blog] <span style="">''[http://micro.soonlabel.com/17-ET/daily20110109-albino-17et.mp3 play Klingon Opera Overture]'' </span> by Chris Vaisvil</li><li>[http://chrisvaisvil.com/?p=298 Seventeen Selfless Notes blog] <span style="">''[http://micro.soonlabel.com/17-ET/if20101028selfless.mp3 play Seventeen Selfless Notes]'' </span> by Chris Vaisvil</li><li>[http://chrisvaisvil.com/?p=76 17ET Jazz blog] <span style="">''[http://micro.soonlabel.com/17-ET/60x60-4001-1-ver2.mp3 play 17et Jazz]'' </span> by Chris Vaisvil (60 x 60 winner)</li><li>[http://chrisvaisvil.com/?p=742 17 Pink Tuxedos blog] <span style="">''[http://micro.soonlabel.com/17-ET/daily20110416-17_pink-tuxes.mp3 play 17 Pink Tuxedos]'' </span> by Chris Vaisvil</li><li>[http://chrisvaisvil.com/?p=706 Devil in the Deep Blue Sea blog] <span style="">''[http://micro.soonlabel.com/17-ET/daily20110401-17-2-devil_in_the_deep_blue_sea.mp3 play Devil in the Deep Blue sea]'' </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>[http://chrisvaisvil.com/?p=585 Seventeen Years in the Sixties blog] <span style="">''[http://micro.soonlabel.com/17-ET/daily20110318-seventeen-years-in-the-sixties.mp3 play Seventeen Years in the Sixties]'' </span> by Chris Vaisvil</li><li>[http://chrisvaisvil.com/?p=699 CT Scan blog] <span style="">''[http://www.youtube.com/watch?v=ZEEuytYwtbo play video CT Scan]'' </span> by Chris Vaisvil</li><li>[http://chrisvaisvil.com/?p=470 Fish and a Grenade blog] <span style="">''[http://micro.soonlabel.com/17-ET/daily20110208-17-a-fish-and-a-grenade.mp3 play Fish and a Grenade]'' </span> (parental advisory language) by Chris Vaisvil</li><li>[http://chrisvaisvil.com/?p=550 Seventeen Unsteady Hands blog] <span style="">''[http://www.youtube.com/watch?v=rAKHCqBNhfc play video of performance of Seventeen Unsteady Hands]'' </span> by Chris Vaisvil</li><li>[http://chrisvaisvil.com/?p=38 The Pond blog] by Chris Vaisvil and <span style="">''[http://www.youtube.com/watch?v=25sC3_uheyA video version of The Pond with Japanese Garden ]'' </span></li><li><span style="">[http://chrisvaisvil.com/?p=305 Graveyard blog] </span><span style="">''[http://micro.soonlabel.com/17-ET/if20101028-graveyard.mp3 play Graveyard]'' </span> by Chris Vaisvil</li><li><span style="">''[http://micro.soonlabel.com/17-ET/daily20110713_q49_17_brass_voice_choirs.mp3 For Brass and Voice Choirs in 17 edo]'' </span> by [http://chrisvaisvil.com/ Chris Vaisvil ] [http://chrisvaisvil.com/?p=1039 more on the composition]</li><li><span style="">''[http://micro.soonlabel.com/17-ET/daily20111015-fungi.mp3 And I Became One With My Per Fungi]'' </span> by [http://chrisvaisvil.com/ Chris Vaisvil] => [http://chrisvaisvil.com/?p=1439 more on composition]</li><li><span style="">''[http://micro.soonlabel.com/17-ET/20111014-STE-002-counter-intuitive.mp3 counterintuitive (17 edo guitar solo)]'' </span> by [http://www.chrisvaisvil.com/ Chris Vaisvil] => [http://chrisvaisvil.com/?p=1427 more on composition]</li><li>[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]</li></ul> | <ul><li><span style="">''[https://soundcloud.com/aaron-krister-johnson/puhlops-and-lauguas-big-adventure Puhlops and Laugua's Big Adventure]'' </span> by [http://www.untwelve.org/board |Aaron Krister Johnson]</li><li><span style="">''[https://soundcloud.com/aaron-krister-johnson/adagio-for-margo Adagio for Margo]'' </span> by [http://www.untwelve.org/board Aaron Krister Johnson]</li><li><span style="">''[http://home.comcast.net/%7Eteamouse/Transformation.mp3 Transformation]'' </span> by [http://home.comcast.net/%7Eteamouse/ Herman Miller]</li><li><span style="">''[http://www.emcollective.org/chris/items/17tet/17waltz.mp3 Waltz]'' </span> by Christopher Bailey</li><li><span style="">''[http://www.emcollective.org/chris/items/17Chorus/17tppp4_lostfound.mp3 Lostfound]'' </span> by Christopher Bailey</li><li>excerpt from <span style="">''[http://music.columbia.edu/%7Echris/sounds/balladei_exc.mp3 Balladei]'' </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] .</li><li><span style="">''[http://www.h-pi.com/mp3/17ET.mp3 Two-Part Invention in 17ET]'' </span> by Aaron Andrew Hunt</li><li>''[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]</li><li>''[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]</li><li><span style="">''[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)</li><li><span style="">''[http://micro.soonlabel.com/gene_ward_smith/Others/Igs/First%20Impressions.mp3 First Impressions]'' </span> by Igliashon Jones</li><li>[http://micro.soonlabel.com/gene_ward_smith/Others/Igs/I%20Insist.mp3 I Insist] by Igliashon Jones</li><li>''[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</li><li>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]].</li><li>[http://www.archive.org/search.php?query=subject%3A%2217-edo%22 17edo] - 17edo-tagged compositions on www.archive.org</li><li>[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.</li><li>[http://soundclick.com/share?songid=8839073 stringfinger it everybean] by Andrew Heathwaite (composed 2008, recorded 2010).</li><li>[http://soundclick.com/share?songid=8839069 cat feet belly] by Andrew Heathwaite (composed 2008, recorded 2010).</li><li><span style="">''[http://www.youtube.com/watch?v=a9N_T6LNDaE 17 Tone Jam]'' </span> by Marmalade Man</li><li>[http://www.youtube.com/results?search_query=17edo&search=tag youtube videos tagged with 17edo]</li><li>[http://chrisvaisvil.com/?p=784 On the Shores of the Dead Sea blog] <span style="">''[http://www.youtube.com/watch?v=D39MVFhb0Ho video of On the Shores of the Dead Sea]'' </span> by Chris Vaisvil</li><li>[http://chrisvaisvil.com/?p=466 Only in Disneyland 17 blog] edo guitar solo <span style="">''[http://micro.soonlabel.com/17-ET/daily20110205-17et-disneyland.mp3 play Only in Disneyland]'' </span> by Chris Vaisvil</li><li>[http://chrisvaisvil.com/?p=460 17 Reasons I Hate the Blues blog] <span style="">''[http://micro.soonlabel.com/17-ET/daily20110125b-17-reasons-I-hate-the-blues.mp3 play 17 Reasons I Hate the Blues]'' </span> by Chris Vaisvil</li><li>[http://chrisvaisvil.com/?p=422 Klingon Opera Overture blog] <span style="">''[http://micro.soonlabel.com/17-ET/daily20110109-albino-17et.mp3 play Klingon Opera Overture]'' </span> by Chris Vaisvil</li><li>[http://chrisvaisvil.com/?p=298 Seventeen Selfless Notes blog] <span style="">''[http://micro.soonlabel.com/17-ET/if20101028selfless.mp3 play Seventeen Selfless Notes]'' </span> by Chris Vaisvil</li><li>[http://chrisvaisvil.com/?p=76 17ET Jazz blog] <span style="">''[http://micro.soonlabel.com/17-ET/60x60-4001-1-ver2.mp3 play 17et Jazz]'' </span> by Chris Vaisvil (60 x 60 winner)</li><li>[http://chrisvaisvil.com/?p=742 17 Pink Tuxedos blog] <span style="">''[http://micro.soonlabel.com/17-ET/daily20110416-17_pink-tuxes.mp3 play 17 Pink Tuxedos]'' </span> by Chris Vaisvil</li><li>[http://chrisvaisvil.com/?p=706 Devil in the Deep Blue Sea blog] <span style="">''[http://micro.soonlabel.com/17-ET/daily20110401-17-2-devil_in_the_deep_blue_sea.mp3 play Devil in the Deep Blue sea]'' </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>[http://chrisvaisvil.com/?p=585 Seventeen Years in the Sixties blog] <span style="">''[http://micro.soonlabel.com/17-ET/daily20110318-seventeen-years-in-the-sixties.mp3 play Seventeen Years in the Sixties]'' </span> by Chris Vaisvil</li><li>[http://chrisvaisvil.com/?p=699 CT Scan blog] <span style="">''[http://www.youtube.com/watch?v=ZEEuytYwtbo play video CT Scan]'' </span> by Chris Vaisvil</li><li>[http://chrisvaisvil.com/?p=470 Fish and a Grenade blog] <span style="">''[http://micro.soonlabel.com/17-ET/daily20110208-17-a-fish-and-a-grenade.mp3 play Fish and a Grenade]'' </span> (parental advisory language) by Chris Vaisvil</li><li>[http://chrisvaisvil.com/?p=550 Seventeen Unsteady Hands blog] <span style="">''[http://www.youtube.com/watch?v=rAKHCqBNhfc play video of performance of Seventeen Unsteady Hands]'' </span> by Chris Vaisvil</li><li>[http://chrisvaisvil.com/?p=38 The Pond blog] by Chris Vaisvil and <span style="">''[http://www.youtube.com/watch?v=25sC3_uheyA video version of The Pond with Japanese Garden ]'' </span></li><li><span style="">[http://chrisvaisvil.com/?p=305 Graveyard blog] </span><span style="">''[http://micro.soonlabel.com/17-ET/if20101028-graveyard.mp3 play Graveyard]'' </span> by Chris Vaisvil</li><li><span style="">''[http://micro.soonlabel.com/17-ET/daily20110713_q49_17_brass_voice_choirs.mp3 For Brass and Voice Choirs in 17 edo]'' </span> by [http://chrisvaisvil.com/ Chris Vaisvil ] [http://chrisvaisvil.com/?p=1039 more on the composition]</li><li><span style="">''[http://micro.soonlabel.com/17-ET/daily20111015-fungi.mp3 And I Became One With My Per Fungi]'' </span> by [http://chrisvaisvil.com/ Chris Vaisvil] => [http://chrisvaisvil.com/?p=1439 more on composition]</li><li><span style="">''[http://micro.soonlabel.com/17-ET/20111014-STE-002-counter-intuitive.mp3 counterintuitive (17 edo guitar solo)]'' </span> by [http://www.chrisvaisvil.com/ Chris Vaisvil] => [http://chrisvaisvil.com/?p=1427 more on composition]</li><li>[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]</li></ul> | ||
[[カテゴリ:17平均律]] | |||
[[カテゴリ:オクターブ平均律]] | |||