Le Méta-Instrument
Transcription
Le Méta-Instrument
Étude d’une représentation hiérarchique liant micro et macro-structures musicales Raphaël MARCZAK Responsable : Myriam DESAINTE-CATHERINE Tuteur ENSEIRB : Bernard PERROT Projet à Finalité Entreprise SCRIME – ENSEIRB Du 1er février au 31 juin 2007 ABCDEB FG HIJJKHL JHMNGOLG PO QKRSTG UVMHIHWUVXPG YINM NPH POG NLHPWLPHG IHYKHGNWGOLGZ JGHQGLLIOL TI HMITVNILVKO RG LHKVN MLIJGN WTG[N RG TI WHMILVKO QPNVWITG \ TI TPLUGHVG]Z TI WKQJKNVLVKO GL T^G_MWPLVKO RG T^KGP`HG GO WKOWGHL a WGWV IbO RG T^IJJTVXPGH c TI QPNVXPG MTGWLHKIWKPNLVXPGZ IP_ VONLHPQGOLN OPQMHVXPGNZ GL JTPN JHMWVNGQGOL IP dMLIefONLHPQGOLg hijklmnoimpjk qrpklmnostkm uvw xy z y{ | v}~y{ D g G Ffd g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g G dMLIefONLHPQGOL g g g g g g g g g g g g g g g g g g g g g g g g g g HKGL fd g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g I WKQJKNVLVKO QPNVWITG g g g g g g g g g g g g g g g g g g g g g g g g g ^G_MWPLVKO QPNVWITG g g g g g g g g g g g g g g g g g g g g g g 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g g g g g g g g g g g fONLHPQGOL ¥§d Ü©ß g g g g g g g g g g g g g g g g g g fONLHPQGOL ¥§d Ü©ß g g g g g g g g g g g g g g g g g g fONLHPQGOL ¥§d Ü©ß g g g g g g g g g g g g g g g g g g fONLHPQGOL ¥§d Ü©ß g g g g g g g g g g g g g g g g g g VSWG F¿F§¦ Ü©ß g g g g g g g g g g g g g g g g g g g g g VSWG F¿F§¦ Ü©ß g g g g g g g g g g g g g g g g g g g g g VSWG F¿F§¦ Ü©ß g g g g g g g g g g g g g g g g g g g g g VSWG F¿F§¦ Ü©ß g g g g g g g g g g g g g g g g g g g g g VSWG F¿F§¦ Ü©ß g g g g g g g g g g g g g g g g g g g g g fONLHPQGOL f§d Ü©ß g g g g g g g g g g g g g g g g g g g fONLHPQGOL f§d Ü©ß g g g g g g g g g g g g g g g g g g g fONLHPQGOL f§d Ü©ß g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g g åæ}ç z Û è}~ç æ ^KHVVOG RG TI QPNVXPG GNL VOWGHLIVOGZ QIVN GTTG NGQYTG HGQKOLGH IP_ JGPJTGN TGN JTPN JHVQVLV[NZ XPV 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"; E 8FG $3 1E () G QKRSTG XPG OKPN ITTKON JHMNGOLGH RION WG HIJJKHL [IVL JIHLVG RGN WVOX JHKGLN JVTKLGN JKPH TI fd GL TG dMLIefONLHPQGOL Ü ßg G YPL JHVOWVJIT RG TI fd GNL R^VOLMHGH TGN RV¢MHGOLN NI`KVHe[IVHG IPLKPH RP dMLIefONLHPQGOL RION POG VOLGH[IWG GHKOKQVXPG GL KP`GHLGZ JGHQGLLIOL TI QPLPITVNILVKO RGN HGNNKPHWGN RG T^VONLHPQGOLIHVPQ G_VNLIOLZ GL RG [I`KHVNGH T^VOLMHILVKO RG OKP`GIP_ JHKGLN VOLGHIWLV[N IPRVK`VNPGTN YVRVHGWLVKOOGTNg I fd JGPL âLHG PLVTVNMG JIH RGN OKOeJHKHIQQGPHNZ NVQJTVbIOL IVONV NKO IWe WMN IP_ WKQJKNVLGPHNg TTG GNL VQJTMQGOLMG GO NPV`IOL POG IHWUVLGWLPHG WTVGOL©NGH`GPHZ IbO RG JKP`KVH [IVHG RP WITWPT RVNLHVYPM NPH R^IPLHGN QIWUVOGN GO HMNGIPg I fd GL NGN WVOX JHKGLN INNKWVMN NKOL HMITVNMN HIWG c POG WKTTIYKHILVKO [KHLG GOLHG \ PWGdPNG Ü ß G £d Ü ß G I«f Ü ß G fdf Ü ß ^fF£d Ü ß I ÉHIORG àIYHVXPG Ü ß ^¤OV`GHNVLM dW ÉVTT Ü ß ¡KVWV TGN WVOX JHKGLN JVTKLGN JKPH TI fd GL TG dMLIefONLHPQGOL \ M`GTKJJGQGOL GL M`ITPILVKO RG WVOX VONLHPQGOLN RG QPNVXPG `VHLPGTN `VNPGTN RVHVMN JIH TG dMLIefONLHPQGOL g M`GTKJJGQGOL R^PO JHKHIQQG VONLHPQGOL TKVWVGT JKPH QIOVJPTGH RGN ITe KHVLUQGN RG N¬OLUSNG RG TI `KV_Z RP WUIOL GL RG TI JIHKTG Üfdfß I`GW TG dMLIefONLHPQGOL GL TI fdg M`GTKJJGQGOL R^PO QKRSTG RG WKQJKNVLVKO QPNVWITG YINM NPH POG HGJHMNGOe LILVKO UVMHIHWUVXPG TVIOL QVWHK GL QIWHKeNLHPWLPHGN QPNVWITGNg §P`GHLPHG GL WKOOG_VKON I`GW RGN TKVWVGTN ãHIOR JPYTVWãg jn mjpnt qr ijolmp ot olpi t jn mjpnt qr k jns mp ot ÿjon i kp ot tm tl iptkitl qt r k kpton klmpmom qt ti tni t tm jjnqpk mpjk ijolmp ot olp ot + + + + + H + + + + + + 0 I 0 J I K ®¯°±²®³´µ´¶·³ ¸¶±°µ°¹¸¶º»® ¼¶µ³´ ½¶¹°· ®´ ½µ¹°·¾²´°»¹´»°®² ½»²¶¹µ¼®² + ! "L KHLIG GL RKWPQGOLILVKO RG TI WKTTGWLVKO R^VONLHPQGOLN TKVWVGTNg #4 M F : N F 7 O3 OF 6 : 9 7 OM 4 P$ I WKQJKNVLVKO QPNVWITG GNL T^MWHVLPHG R^POG ÇP`HG QPNVWITG GO G_JTVWVLIOL NKO RM`GTKJJGQGOL LGQJKHGTg G WKQJKNVLGPH JGPL LHI`IVTTGH NPH RGN OKLILVKONZ LGTTGN XPG WGTTGN RP NKT[SGZ KP LHI`IVTTGH RVHGWLGQGOL NPH RGN NKON GOHGVNLHMNg KPH TI WKQJKNVLVKO LHIRVLVKOOGTTGZ KO PLVTVNG JTPN `KTKOLVGHN TI OKLILVKO RP NKT[SGZ RKOOIOL RGN VO[KHQILVKON RG UIPLGPHZ RG RPHMG GL R^VOLGONVLM JKPH WUIXPG OKLG JTIWMG LGQJKHGTTGQGOL NPH POG JIHLVLVKOg KPH TI WKQJKNVLVKO MTGWLHKIWKPNLVXPGZ OG RVNJKNIOL JIN RG OKLILVKON INNG JHMe WVNGN GL G_UIPNLV`GNZ W^GNL PO LHI`IVT RVHGWLGQGOL NPH RGN NKON GOHGVNLHMN XPV JHVQGg ION WG WINZ TG WKQJKNVLGPH RVNJKNG R^POG YIOXPG RG NKONZ XP^VT JGPL IGOWGH LGQe JKHGTTGQGOL TGN PON c TI NPVLG RGN IPLHGN NPH POG JVNLG ÜQKOLIGß KP NVQPTLIOMQGOL NPH JTPNVGPHN JVNLGN ÜQV_IGßg fT JGPL GONPVLG RMbOVH \ RGN `IHVILVKON R^VOLGONVLM ÜKPGH POG JVNLG JTPN KP QKVON [KHLß RGN `IHVILVKON RG JKNVLVKO RION T^GNJIWG ÜK `GPLeKO RV¢PNGH TG NKO TKHN RG T^G_MWPLVKOßg ION TG WIRHG R^POG WHMILVKO GO NLMHMKZ W^GNL RMbOVH PO `KTPQG JKPH T^GOWGVOLG RG IPWUGZ GL WGTPV JKPH WGTTG RG RHKVLG RGN G¢GLN c IJJTVXPGH NPH LGT KP LGT NKO ÜJKPH JIH G_GQJTG WUIOGH TI UIPLGPHZ bTLHGH TG NKOZ gggß , + Q + + ! 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" + ,'%: +" è B + 51!# &%++) & 6 HI ,"! è ç J KL M NO KP QR QSTP U SNMRM VU SW XK YSRP Q Z SVM T K Q Z R VM T[O QM XV QXM KO Z XOSVRYKO H\ ] ^_`a`b cd e = )' D* 5* " : )%&" . 1!+'" * " ,'%: +" . 5", %') "- "& ( &)*&" +" : )%&" + 5"3 >+): & f * D* 5B + : )%&" '!% " '"g)%,"& +" - C- " %. "&%G !&"*' . " ,'%: +" 6 h * . * " : )%&" '"g)%& !"& %. "&%G !&"* ' ( "++" $ "'- "& B ) $ /'" . 5>%' . " * 6 i d j c Ü ^`b cd e = - ) . %G !&%) . 5* " &"++" ,'%: +" B 5%- $ )'&" D* "+ %,"* . " + # %1''!# %" " & # 1'%&1" f * D* 5*0 2"* %++" 6 E . 5*&'" &"'- " ( * " - ) . %G !&%) . 5* " ,'%:+" . 5", %') "- "& B * %3 ,"* " '1$ "'!*&" *' &)*&" +" : )%&" " >+): 1" 6 E '", !# " ( +" : )%&" " >+): & +" +%"* . " + - ) . %G !&%) " *: %')& $ !"&&" - ) . %G !&%) 6 k " !# )%0 1&1 2%& G . " $ "'- "&&'" + - ) .%G !&%) . " + 5", %') "- "& * ' + 5%&1>'+%&1 . 5* )* 3': '" l$ ' "0 "- $ +" * %,"* . * !) !"'& ( . " + $ %"!" 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" ,'%: +" 6 J KL M NO KP QR QSTP U SNMRM VU SW XK YSRP Q Z SVM T K Q Z R VM T[O QM XV QXM KO Z XOSVRYKO y z{ px | } ~~ } ~ k )- - " )* + 5,) , * . +" !# $ %&'" $ '1!1. "& ( + &'* !&* '" " & !"++" . 5* ': '" 6 E "; "& ( + # %1''!# %" $ "*& &'/ :%" C&'" , * " !)- - " * ': '" . )& !# D *" ) "*. $ ) /. " . " &&'%: *& 4 = : )%&" '!% " " & + '!% " . " + 5': '" = " : )%&" 2"* %++" )& +" 2"* %++" . " + 5': '" " : )%&" " >+): &" " & +" $ /'" ." : )%&" D* 5"++" ">+): " lD* % "')& . ) ! " "2& m w * %,"* . " !# D* " ) "* . ( )* ,) !)- - " &&'%: *& 4 = " >" &" = " ,'%: +" . " - ) . *+&%) = " ,'%: +" . 5", %') "- "& E &'" 2'/'" ( )* ,) +" !)&'%&" . 5" !# ? "- "& l&"- $ )'"++" )* 1,13 "- "&%"++" m 8 5* $ /'" ,"' " "2& ( )* ,) +" !)&'%&" "&'" !"'&% >" &" .* $ /'" "& !"'&% " ,'%: +" ." "2& ( "& "&'" !"'&% >" &" . * $ /'" "& + 5" !# ? "- "& . " "2& w * - )- "& . " + 51. %&%) ( + 5': '" " & !) &'* %& * 2* ' "& B - " *'" 6 t !# D* " % 3 && ( &)*&" +" !)&'%&" .1f B $ +!1" )& ) "* +"- "& B ,1'%G "' ( - % * % B )$&%- % "' 6 F "&" . $ ' ¡ ¢ £ ¤ ¥ ¦£ §¢ £ ¥ +" !#)%0 ." + - "%++"* '" )+*&%) % + '1 )+*&%) . 5* " !)&'%&" . ) " $ +* %"* ' '1 * +&& $ ) %:+" 6 n)* ' !"+ ( . " $ )%. )& $ +!1 * ' +" !)&'%&" $ )* ' . 1&"'- % "' !"++" B '" $ "!&"' " $ '%)'%&1 6 h * . +" !)- $ ) %&"* ' . 1!%. " . 51!'%'" $%/!" l,)%' !# $%&'" ¨ m 4 * " - ) . %G !&%) . 5* " ,'%:+" . $&" + 51,"&* "+ >" &" !)''" $ ) . & * " - ) . %G !&%) . 5* >" &" . $&" + 51,"&* "++" ,'%: +" !)''" $ ) . &" +" $ >" . 5* " : )%&" B + 5*&'" . * "!# ?"- "& 1,1 "- "&%"+ . )%& '" $ "!&"' + !). %&%) . " $ >" + ,+%. &%) . 5* " !) . %&%) . " $ >" 2%& $ "' . 5* " : )%&" B + 5*&'" ©+ " & $ ) %: +" . 5,)%' * " '"+&%) . " !)&'%&" B * - )- "& ª ( ,"! )* !) . %&%) $ '1+: +" 6 r !) . %&%) $ '1+: +" ( + '"+&%) " & ." + 2)'- " «¬ ª® ¯ ° ±² ³ ´ ² µ ´ ¶¶¶´ ²· ¸ ( ,"! ²· * >" &" ( * " ,'%: +" . 5", %') "- "& )* * " ,'%: +" . " - ) . * +&%) J KL M NO KP QR QSTP U SNMRM VU SW XK YSRP Q Z SVM T K Q Z R VM T[O QM XV QXM KO Z XOSVRYKO p¹ "& «¬ * " ,'%:+" . 5", %') "- "& )* * " ,'%: +" . " - ) . *+&%) 6 ©+ " & $ ) %: +" . 5,)%' . " !)&'%&" +% 1%'" ( )*,"& * " - % " B + 5"!# "++" "&'" * " ,+"* ' . " >" &" "& * " ,'%: +" ( )* ) +% 1%'" ( $ ' "0 "- $ +" +)' . " + . % !'1&% &%) 6 w,"! * " )* $+* %"*' !) . %&%) $ '1+: +" ( + !)&'%&" . )%& C&'" $ '1!1. 1" . 5* º % º ,"! +" !) . %&%) 6 = 2)'- " >11'+" " & » ¼ ½¾¿ À¼ª¼¾¿ ±Á  ª®¸ ´ ÃÄ¾Å Æ «¬ ª® ¯ ° ±² ³ ´ ² µ ´ ¶¶¶´ ² · ¸ ( ,"! Á  "& ²· * >" &" ( * " ,'%:+" . 5", %') "- "& )* * " ,3 '%: +" . " - ) . * +&%) "& «¬ * " ,'%: +" . 5", %') "- "& )* * " ,'%: +" . " - )3 . *+&%) 6 8 + 51&& !&* "+ ." ) '"!# "'!# " ( $ ' - D* " . " &"- $ ( %+ )* " & %- $ ) %: +" . " 2)'- +% "' "&%/'"- "& +" !)&'%&" 6 k "!% .", ' 2%'" + 5):f "& . 5* " 1&* . " )'%D* " *' + '1 )+*&%) . " !" !)&'%&" 6 8 )&'" - ) . /+" ( )$&%- % "' * " !)&'%&" "&'" * >" &" "& * " ,'%:+" '", %"& B &')*,"' B + 51!# &%++) ª Ç +" ,+"* ' +" - )% 1+)%> 1" . " ,+"* ' B + 51!# &%++) ª 6 È É = )' . " + 5"0 1!*&%) ( ! 5" & B . %'" +)' D* " +" - * %!%" f )* " + $ %"!" !)- $ ) 1" ( + 5': '" " & !'11 .9 - %D* "- "& 6 k )&'%'"- "& B + $ # " . 51. %&%) ( !" " )& $ +* . " !)&'%&" D* % '"+%"& +" >" &" B . " ,'%: +" )* . " : )%&" "&'" "++" ( - % . " 2) !&%) 6 E "; "& ( +" - * %!%" >%& * %D* "- "& * ' +" >" &" $ )* ' !+3 !* +"' +" ,'%: +" ( "& f - % + 5%,"' " l'" "',1 B + $ # " . 51. %&%) m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r 5%+ 5>%& . " + '!%" ( +" ) " & f )* 1 6 E ++" "!)*&" +" !)&')+" * ' +" &' %&%) "&'" +" "2& 6 n)* ' * " 2"* %++" 4 J KL M NO KP QR QSTP U SNMRM VU SW XK YSRP Q Z SVM T K Q Z R VM T[O QM XV QXM KO Z XOSVRYKO pÊ E ++" - "& " $ +!" +" 2) !&%) "&'" " ,'%: +" "& +" >" &" . " ) $ /'" 6 E ++" >1 /'" . * ) 6 l. +" !. '" . * !# )%0 . * '1 "',)%' . " )&" ( "++" !#)% %& * % +" : ) ) m = )' . " + . 1 !&%,&%) . 5* " : )%&" 4 E ++" . 1 !&%," &)* " "2& ( f * D * 5*0 2"* %++" 6 Ë Ì Í Î ÏÐ Ñ Ò Ó Ô Ð ÏÕÏ Í Ð ÏÖ × Ø Í Ù Ú ÒÐÐÒ ÛÒ Õ ÜÏ × Ð Ò Ñ Ý Í Þ Ò 8 ßàá âãääã å ßæäçã è à éê á å æëáãàäéàá ì ãá í ßDê ãääãá í éàäæßàä âéí í ãàä îã îé> çï âçãî là éà ãà âéæã çí åîëí ãàäë m ìãð æßçä ß>çæ îéæáDê ã îã âéí å éáçäãêæ ì ëáçæã ì éàà ãæ êà ãñ ãí åîã ì ã ì ãðãîéå å ãí ãàä ì ã áß å çòâã ó = ôçì ëã ãáä ì ôßðéçæ êà ã æãå æëáãàäßäçéà í ãääßàä î ôê à ãà ìãááéê á ìãá ßêäæãá îãá : éçäãá è áê æ ê à ã îç>à ã ìã äãí å á è ãà îçáäßàä îãá : éçäãá ßðãâ îãê æá ðßæçß: îãá ãä îãê æá >ãáäãá ó = ôéæì æã ìãá : éçäãá ãáä ì ãäãæí çà ë ãà å ßæâéê æßàä î ôßæ: æã ì ôëì çäçéà ãà å æéõéàï ì ãê æ ó F à å ãêä ì ëâçì ãæ ì ôßâäçðãæ ê à ã : éçäã è åê çá ì ã õßçæã ðßæçãæ äãîîã éê äãîîã ðßæçß: îãá è ì ã îßà âãæ äãî éê äãî áéà è ì ã ì ëáßâäçðãæ ê à ã : éçäã å éê æ ãà ßâäçðãæ êà ã ßêäæãá ãäâ ó F à ß ßîéæá êà ã áê çäã ì ôëðëà ãí ãàäá ì ëâæçðßàä îß å çòâã è ãä ì éà à ßàä ãà í Cí ã äãí å á è å êçáD ê ã îãá ðßæçß: îãá áéàä æãîçëãá å ßæ âéàäæßçàäã ßêñ > ãáäãá è ê à ãñ ãí å îã ì ôãñ ëâêäçéà B ê à çà áäæê í ãàäçáäã ó ©î å éêææßçä Cäæã çàäãæãááßàä ì ã à ã å ßá âéí å éáãæ ì ßà á îã ìëäßçî è í ßçá ì ã ì éà à ãæ ì ãá çàäãàäçéà á è : ßáëãá å ßæ ãñ ãí å îã áê æ îãá ru ó p¨ J KL M NO KP QR QSTP U SNMRM VU SW XK YSRP Q Z SVM T K Q Z R VM T[O QM XV QXM KO Z XOSVRYKO ÷ øù ú ¨ óx E ñ ãí å îã ì ã í çáã ãà å îßâã ì ôê àã áäæêâäêæã pö J KL M NO KP QR QSTP U SNMRM VU SW XK YSRP Q Z SVM T K Q Z R VM T[O QM XV QXM KO Z XOSVRYKO ÷ øù ú ¨ ó¹ k éí å éáçäçéà ãà õßçáßàä ðßæçãæ îãá ðßæçß: îãá ìã í é ì ê îßäçéà pH J KL M NO KP QR QSTP U SNMRM VU SW XK YSRP Q Z SVM T K Q Z R VM T[O QM XV QXM KO Z XOSVRYKO ÷ øù ú ¨ óÊ k éí å éáçäçéà ãà õßçáßàä ðßæçãæ îãá ðßæçß: îãá ì ôãàð çæéàà ãí ãàä pp Ë Ì Í Î ÏÐ Ñ Ò û ü Ò Î Ñ ý þ Ò ×Ð Í Ð ÏÖ × ÎÏ Û ÜÏ × þ Ð Ñ Ú ÿ Ò × Ð þ ÒÐ ÛÒ ÞÒþ 8 ßàá âã â ßå çäæã è à éê á æãå æëáãàäéà á ì ßà á à éäæã í é ì òîã îãá çà áäæêí ãàäá ãä îß å çòâã ìëâæçäá ì ßà á îß å ßæäçã xóxÊ ó néê æ à ã å ßá áê æâ ßæ>ãæ îãá áâ ëí ßá è à 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rãîãâäçéà ì ôê àã : éçäã f éê ßàä ì ãêñ à éäãá ãà õéàâäçéà ì ã îß å éáçäçéà ìê áîçì ãæ ì æéçä pI J KL M NO KP QR QSTP U SNMRM VU SW XK YSRP Q Z SVM T K Q Z R VM T[O QM XV QXM KO Z XOSVRYKO p\ áãîãâäçéà l8 ¹ö èq ó¹ö èq óöq m l\ m rãîãâäçéà ì ôê à ã : éçäã f éê ßàä ê à ã à éäã ãà õéà âäçéà ì ã îß å éáçäçéà ì ê áîçì ãæ ìæéçä áãîãâäçéà l8 ¹ö èq èq ó¹öm lxq m rãîãâäçéà ì ôê à ã : éçäã f éê ßàä Dê ßäæãá à éäãá ãà õéà âäçéà ì ã îß å éáçäçéà ìê áîçì ãæ ì æéçä áãîãâäçéà l8 ¹ö èq ópö èq óxm lxxm rãîãâäçéà ì ôê à ã : éçäã f éê ßàä äæéçá à éäãá ãà õéà âäçéà ì ã îß å éáçäçéà ìê áîçì ãæ ì æéçä áãîãâäçéà l8 ¹ö èq óöq èq ópöm n çòâã k k = F E l x å éê æ îãá > ãáäãá ì ê ãäßï©à áäæê í ãàä xè ¹ å éê æ îãá > ãáäãá ìê ãäß ©à áäæê í ãàä ¹m lxm k ßà>ãí ãàä ì ã å ßæäçã âéà ì çäçéà à ë å ßæ ê à : éêäéà ßå å ê ç l xó xè q óöm l¹m 8 ëâîãà â ãí ãàä ì ôê à áéà ßðãâ ê à : éêäéà ßå å ê ç l xó ¨ è q óöm é ì ê îßäçéà ì ã îß õæëD ê ãàâã ì ã ð ç: æßäé ãà q ãä ¨ q v lÊ m xó ö u ð ç:æßäé ¨q çîäæß>ã ì ãá õæëD êãà âã ãà ì ãááéê á ì ôê à à éí : æã âéí åæçá ãàäæã q ãä xqqqq l¨ m xqqqq xó H u õæãD: è ãä ì ôêà é âäßðã löm ßæçßäçéà ì ã îß ßêäãêæ ì ôê à é âäßðã í ßñ çí ê í ãà í ßñ çí ê í ãà x¹ xó x¹ xó u å çäâ é ì ã ßæå ã ó = ß å éáçäçéà ãà lH m f éê ã ê à ã à éäã ó áãîãâäçéà l ¹ ó èq èq óxm å éêæ îß éäã x áãîãâäçéà l ¹ ó èq óxèq ó¹ m å éê æ îß éäã ¹ áãîãâäçéà l ¹ ó èq ó¹ èq óÊ m å éê æ îß éäãÊ áãîãâäçéà l ¹ ó èq ó¨ èq óö m å éê æ îß éä㨠áãîãâäçéà l ¹ ó èq óö èq óH m å éê æ îß éäã ö áãîãâäçéà l ¹ ó èq óH èq óp m å éê æ îß éäãH áãîãâäçéà l ¹ ó èq óp èq óI m å éê æ îß éäã p áãîãâäçéà l ¹ ó èq óI èq ó\ m å éê æ îß éäãI áãîãâäçéà l ¹ ó èq ó\ èxm å éêæ îß éäã\ ìê ãäßï©àáäæê í ãàä x ì ëäãâäã ê àã ðßîãêæ áêå ëæçãê æã B lpm = ã âßåäãê æ ãà q óxè çî å æãà ì îß í ßçà ßå å ê ç l xó èq óxm = ã âßåäãê æ ãà ìê ãäßï©àáäæê í ãàä ¹ ì ëäãâäã ê àã ðßîãêæ áêå ëæçãê æã B lI m q óxè çî å æãà ì îß í ßçà ßå å ê ç l ¹ ó èq óxm J KL M NO KP QR QSTP U SNMRM VU SW XK YSRP Q Z SVM T K Q Z R VM T[O QM XV QXM KO Z XOSVRYKO Iq l\ m = ôßí å 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Ip J KL M NO KP QR QSTP U SNMRM VU SW XK YSRP Q Z SVM T K Q Z R VM T[O QM XV QXM KO Z XOSVRYKO ÷ øù ú ö óI n çòâã k k = F E l¹ öm II J KL M NO KP QR QSTP U SNMRM VU SW XK YSRP Q Z SVM T K Q Z R VM T[O QM XV QXM KO Z XOSVRYKO ÷ øù ú ö ó\ n çòâã k k = F E lÊ öm I\ J KL M NO KP QR QSTP U SNMRM VU SW XK YSRP Q Z SVM T K Q Z R VM T[O QM XV QXM KO Z XOSVRYKO ÷ øù ú ö óxq n çòâã k k = F E l¨ öm \q J KL M NO KP QR QSTP U SNMRM VU SW XK YSRP Q Z SVM T K Q Z R VM T[O QM XV QXM KO Z XOSVRYKO ÷ øù ú ö óxx n çòâã k k = F E lö öm \x J KL M NO KP QR QSTP U SNMRM VU SW XK YSRP Q Z SVM T K Q Z R VM T[O QM XV QXM KO Z XOSVRYKO ÷ øù ú ö óx¹ ©àáäæê í ãàä ©n F E E lx Ê m \¹ J KL M NO KP QR QSTP U SNMRM VU SW XK YSRP Q Z SVM T K Q Z R VM T[O QM XV QXM KO Z XOSVRYKO ÷ øù ú ö óxÊ ©àáäæê í ãàä ©n F E E l¹ Ê m \Ê J KL M NO KP QR QSTP U SNMRM VU SW XK YSRP Q Z SVM T K Q Z R VM T[O QM XV QXM KO Z XOSVRYKO ÷ øù ú ö óx¨ ©àáäæê í ãàä ©n F E E lÊ Ê m \¨ Ë Ö × Þ ÕÚ þ ÏÖ × = ã í é ì òîã D ê ã à éê á ßðéà á åæëáãàäë ì 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éàä ëäë æãáå ãâäëá E à å ãæí ãääßàä ìã í é ì ëîçáãæ ìãá ãà â ß?à ãí ãàäá äãí å éæãîîãí ãàä è îãá í ê áçDê ãá å éê æ : ßà ì ãá à ã áéàä å ßá ãñ âîê ãá ì ã âã í é ì òîã ó E à å ãæí ãääßàä ì ã í é ìëîçáãæ ì ãá ãà â ß?à ãí ãàäá ãðëàãí ãàäçãîá è îß îêä ãæçã å ãêä Cäæã í çáã ãà å îßâã ãà å æéå éáßàä ê à âéæå ê á >ãáäãáïãà â ß?à ãí ãàäá ó E à å ãæí ãääßàä ê à í é ìòîã ì ã âßîâê î îéæá ì ã î ôëìçäçéà è æãîçßàä îãá ðßæçß: îãá ßðãâ ìãá âéàäæßçàäãá è îãá âéí å éáçäçéà á å ãêðãàä ì éà à ãæ îçãê B ì ãá æãå æëáãàäßäçéà á è ãä îãá >ãáäãá çà ëæãàäá å ãêðãàä áã âßîâê îãæ ó E à ßêäéæçáßàä ë>ßîãí ãàä B âã Dê ã î ôãì çäçéà å êçááã áã õßçæã à ôçí å éæäã é ãä à ôçí å éæäã D ê ßà ì è çî à ã îçí çäã å ßá îã å éäãàäçãî âæëßäçõ ì ê âéí å éáçäãêæ ó E à å æéå éáßàä êà ã áäæêâäêæã çëæßæâ çDê ã è âã í é ì òîã ãááßçã ì ã áã æßåå æé â ãæ îã å îê á å éááç: îã ì ã îß í ßà çòæã ì éàä îãá âéí å éáçäãêæá å ãà áãàä îãêæá âæëßäçéàá ó 8 ã å îê á è âãääã áäæê âäê æã å ãæí ãä ì ôßçìãæ B îß âéí å æë ãàáçéà ãä B î ôßà ßî9 áã ì 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Ces premiers objets, que l'on peut considérer comme des corps sonores, dans la représentation de Pierre Schaeffer, ont vite atteint leurs limites. L'Homme a alors commencé à se construire ses propres instruments de musiques. Une problématique de la pérennité des œuvres ainsi créées a alors été posée. Il fallait trouver une notation pour décrire les enchaînements de sons, de gestes ou de rythme. En effet, certains peuples, comme les Egyptiens, n'ont pas jugé utile d'imaginer une représentation de la musique. Il ne nous reste que des dessins montrant des hommes jouant de la musique, mais il nous est incapable de reproduire les airs alors créées. En chine est né, dix siècles avant Jésus Christ, une première proposition de gamme à 5 notes symboliques, suivie, quelques siècles plus tard, par une gamme à 7 degrés, proche de celle utilisée aujourd'hui. On retrouvera également chez les Grecques un besoin de représenter la musique sous la forme d'un alphabet très simple. Au moyen âge, avec le christianisme, la musique, d'abord monophonique, devient notée au Xe siècle sous forme de neumes. La musique profane, condamnée par l'Église car polyphonique, ne trouvera de notation qu'au XIIe siècle avec la notation mensurale (sous forme de mesure). D'autres faits marquant, comme le clavier bien tempéré de Jean Sebastien Bach, permettront d'affiner les représentations, pour arriver au solfège classique actuel. A chaque changement majeur (comme par exemple le passage de la monophonie à la polyphonie), il y a eu adaptation de la notation. Certaines musiques ont du également changer de partition pour être parfaitement représentées (exemple de la partition dodécaphonique). Dans les années 1950, avec l'apparition de la musique concrète, n'importe quel corps sonore peut être considéré comme une composante de la musique. Quand il était possible, en caricaturant un peu, de représenter la musique classique avec des informations de hauteur, rythme, et durée, comment représenter maintenant une musique utilisant une exhaustivité de sons et également des « bruits » n'ayant parfois aucune hauteur distincte ? Pierre Schaeffer, dans son Traité Des Objets Musicaux, essaie de classer les sons par typologie et morphologie sonore. Jean Louis Di Santo propose également une représentation plus globale de la musique. Aujourd'hui, avec la puissance croissante des ordinateurs, des instruments numériques, programmables, ont vu le jour. C'est le cas notamment du Méta-Instrument, présent au SCRIME (Studio de Création et de Recherche en Informatique et Musique Electroacoustique). Cet instrument, puisque programmable, dépend donc de patch présents dans un ordinateur, et qui vont guider son comportement aux différents stimuli du musicien. On a donc un instrument pouvant avoir un ensemble de comportements différents ; c'est donc un instrument d'instruments. Plusieurs pièces ont été composées pour le Mét-aInstrument, et il est impressionnant de remarquer que deux musiciens différents joueront la pièce de deux façons totalement différentes. De plus, il n'existe pas aujourd'hui de partition permettant de représenter de manière exhaustive une œuvre électroacoustique. L'idée de ce sujet de stage est donc d'essayer de représenter la musique sous formes de structures allant du bas niveau vers le plus au niveau, et essayant, pour chaque structure, d'en définir les composantes principales. L'instrument devra faire parti de cet ensemble de structure, et devra donc également être défini. Pour nous limiter, nous baserons l'étude sur le metaInstrument (car il est suffisamment complet pour englober les autres instruments). Ce sujet, vaste, ne pourra pas être terminé en 5 mois (il est plus approprié à une thèse). Nous allons donc nous limiter à certaines structures, notamment l'instrument. Des réalisations informatiques seront également menées. Nous allons donc, dans une première partie, présenter le SCRIME, puis le Méta-Instrument. Nous verrons ensuite une première représentation hiérarchique qui servira de base de recherche. Nous évoquerons enfin les réalisations informatiques désirées. Le SCRIME Le SCRIME (Studio de Création et de Recherche en Informatique et Musique Electroacoustique) est un laboratoire de recherche rattaché au LaBRI (Laboratoire Bordelais de Recherche en Informatique). Son intérêt principal réside dans la volonté de faire se rencontrer artistes et scientifiques, les premiers apportant des problématiques liées à leurs créations, les seconds cherchant des solutions et des évolutions en lien avec la musique. Il y a d'ailleurs deux directeurs : Myriam Desainte-Catherine pour la direction scientifique, et Christian Eloy pour la direction artistique. Le SCRIME résulte d'une collaboration étroite entre l'université de Bordeaux I, l'ENSEIRB et le Conservatoire National de Région de Bordeaux. Parmi les logiciels développés par les chercheurs du SCRIME, un a une importance particulière pour ce stage : BOXES. Le logiciel BOXES Le logiciel BOXES, développé au sein du SCRIME depuis une dizaine d'années, permet d'aborder une autre manière de composer. Les logiciels de composition habituels proposent généralement une considération temporelle de la musique. Ici, la musique est représentée comme un ensemble de contraintes. Des boites (d'où le nom de BOXES) peuvent contenir des sons, des effets etc. et même d'autres boites. Chaque boite peut dépendre d'une autre boite avec des relations (comme par exemple : avant celle là, après celle ci, en même temps ...). Ensuite, un solveur de contraintes organise la musique. Ce logiciel permet d'envoyer des informations par Open Sound Control, pour être utilisé par MAX/MSP notamment (logiciel massivement utilisé pour la composition et la programmation d'instruments électroniques). BOXES a une importance pour ce stage, car il serait souhaitable que la recherche de structures hiérarchique puisse être ensuite intégrée à ce logiciel. Le Méta-Instrument Le Méta-Instrument est un instrument de musique assistée par ordinateur développé par PuceMuse. Le premier prototype a été créé en 1989 par Serge De Laubier. Après une deuxième version, PuceMuse a sorti en 2004 la version 3, compatible avec le protocole Open Sound Control (OSC). C'est cette version qui est disponible en deux exemplaires au SCRIME. Le Méta-Instrument peut récupérer, grâce à 54 capteurs, la position des avant-bras, l'inclinaison des mains, l'appuie sur des boutons placés au niveau des phalanges (mesure de la pression), et un « slider » au niveau du pouce. Il y a également un moniteur vidéo permettant de visualiser des informations. Les données des capteurs sont envoyées par Ethernet et peuvent être récupéré par OSC dans de nombreux logiciels, notamment Max/MSP, afin de générer du son, ou du contrôle (entre autre). Un premier schéma Piste Mouvements Mapping Instrument Retours Gestes Effets Notes Séquences jeu Objets sonore Corps sonore Synthèses Quelques explications : • Un corps sonore est un objet qui va servir pour créer un son. • Une séquence jeu est une prise de son faite avec un ou plusieurs corps sonores, ou avec de la synthèse. • Dans une séquence jeu, on peut récupérer des objets sonores, c'est à dire des parties de la séquence jeu qui ont un intérêt musical. • Il est possible d'appliquer des effets sonores sur ces objets sonores, pour en obtenir d'autres, • Grâce à ça, il est possible de constituer un ensemble de notes pour un instrument. • Un instrument peut également permettre d'appliquer des effets, et se définit également par un ensemble de gestes et de retours. • L'organisation temporelle permet la génération de la piste audio diffusée. Chaque boite doit être définie de manière plus exhaustive. C'est le but de ce stage. Ceci dit, vu la complexité, nous allons juste nous concentrer sur la définition de l'instrument, en essayant de regarder l'ensemble des gestes possibles, la limite de l'instrument etc. et essayer de proposer une aide pour que l'artiste puisse donner, avec sa pièce musicale, un corpus d'association entre geste et intention. Développements souhaités Il serait bénéfique, dans le cadre de ce Master recherche, qu'un certain nombre de développements puissent être menés. Le premier développement consiste dans le portage de patch MAX/MSP existant pour le metaInstrument 2 (protocole MIDI) vers le metaInstrument 3 (protocole OSC). Ceci permettra d'appréhender le logiciel MAX/MSP et le fonctionnement du metaInstrument et du protocole OSC. Par la suite, plusieurs autres développements pourront être demandés, comme par exemple essayer d'intégrer les éléments de la recherche de la structure hiérarchique dans le logiciel BOXES. Sources : http://www.coindumusicien.com/Lecoin/index.html http://scrime.labri.fr/ http://www.pucemuse.com/
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