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
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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
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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 g g g g
g FKQJKNVLVKO GL G_MWPLVKO JKPH TG dMLIefONLHPQGOL g g g g g g g g g
g G NVOIT IPRVK 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 FIUVGH RGN WUIHGN 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
gg GNWHVJLVKO RGN JIHLVGN JHMeWKQJKNVLVKO g g g g g g g g g g g g
gg GNWHVJLVKO RP QKRSTG \ JIHLVGN KHIOVNILVKOZ WKQJKNVLVKO GL G_MWPLVKO
g ¡VNPITVNILVKO RG JVSWGN GL IVRG c TI RV¢PNVKO g g g g g g g g g g g g g
gg GJHMNGOLILVKO RG T^IQJTVLPRG g g g g g g g g g g g g g g g g g
gg JGWLHKHIQQG 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
gg £WKPNQKHIJUG 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
gg GN ¤OVLMN GQVKLVXPGN ¥GQJKHGTTGN g g g g g g g g g g g g g g
gg ¦KLILVKO RG WKQJKNVLGPH g g g g g g g g g g g g g g g g g g g g
gg I `VRMK WKQQG JIHLVLVKO g g g g g g g g g g g g g g g g g g g
g §PLVTN TKVWVGTN G_VNLIOLN g g g g g g g g g g g g g g g g g g g g g g g g
gg FKPOR 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
gg MXPGOWGPHN 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
FKQJKNVLVKO
NJMWVbXPG JKPH TG dMLIefONLHPQGOL g g g g g g g g g g g
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gg G JHKLKWKTG §F g g g g g g g g g g g g g g g g g g g g g g g g
gg ILWU d£¨©d 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 FKQJKNVLVKO UVMHIHWUVXPG GL JIH WKOLHIVOLG g g g g g g g g g g g g g g
gg ¥GHQVOKTKVG NLHPWLPHMG RG ªGIO KPVN f £¦¥§ g g g g g g
gg G TKVWVGT ff¦ 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
gg G TKVWVGT «§¨ g g g g g g g g g g g g g g g g g g g g g g g
g £OIT¬NG RG JVSWGN JKPH TG dGLIefONLHPQGOL g g g g g g g g g g g g g g
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gg I JVSWG F¿F§¦ g g g g g g g g g g g g g g g
gg ¤O VONLHPQGOL RG TI JVSWG f§dÀ g g g g g g g
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g GP_ JUINGN MHMGN JIH TG QKRSTG g g g g g g g g g g g g
g GN HMNGH`KVHN RG OKLGN g g g g g g g g g g g g g g g g g g
gg HMNGOLILVKO g g g g g g g g g g g g g g g g g g g g
gg MTGWLVKOOGH PO NKO RION PO HMNGH`KVH g g g g g g
g GN YKVLGN [GPVTTGN \ NKO GL N¬OLUSNG g g g g g g g g g g g
gg I YKVLG NKO g g g g g g g g g g g g g g g g g g g g
gg I YKVLG N¬OLUSNG g g g g g g g g g g g g g g g g g
g I YKVLG OÇPR g g g g g g g g g g g g g g g g g g g g g g g
g GN GOWUIÈOGQGOLN g g g g g g g g g g g g g g g g g g g g
gg «KVLG IWLV`G©«KVLG VOIWLV`G g g g g g g g g g g g g
gg OWUIÈOGQGOLN LGQJKHGTN g g g g g g g g g g g g
gg OWUIÈOGQGOLN M`MOGQGOLVGTN g g g g g g g g g g
g GN G¢GLN 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 GN GNLGN 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
gg ÉGNLGN JU¬NVXPGN g g g g g g g g g g g g g g g g g
gg fO[KHQILVKON GNLPGTTGN NPH TG dMLIefONLHPQGOL g
gg ÉGNLGN TKVXPGN g g g g g g g g g g g g g g g g g g
g VGO GOLHG GNLGN GL VOLGHIWLV`VLM g g g g g g g g g g g g g
gg ¤OG HGTILVKO RG WKOLHIVOLG g g g g g g g g g g g g
gg GTILVKON GOLHG GNLGN GL GOWUIÈOGQGOLN g g g g g
gg GTILVKON GOLHG GNLGN GL `IHVIYTGN g g g g g g g g
g I NKHLVG 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
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g ¡IHVIYTGN R^GO`VHKOOGQGOL©¡IHVIYTGN RG QKRPTILVKO g g
gg ¡IHVIYTGN R^GO`VHKOOGQGOL g g g g g g g g g g g g
gg ¡IHVIYTGN RG QKRPTILVKO g g g g g g g g g g g g g
g ¤LVTVNILVKO R^PO IHYHG g g g g g g g g g g g g g g g g g g g
gg £P QKQGOL RG T^MRVLVKO g g g g g g g g g g g g g
gg £P QKQGOL RG T^G_MWPLVKO g g g g g g g g g g g g
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UKLK RP dGLIefONLHPQGOL g g g g g g g g g g g g g g g g g g g g g g g
WUGQI RGN YKPLKON RP dMLIefONLHPQGOL JKPH TG YHIN IPWUG g g g g
GJHMNGOLILVKO TKYITG 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
¤OG HGJHMNGOLILVKO R^IQJTVLPRG ÜdVOG e gd£FÝ£Þ e ß g g g
¤OG JIHLVLVKO RG JVSWG QV_LG ÜF¦àG`HVGH e gd£FÝ£Þ©ªgd£Ýf¦á e ß
¤OG HGJHMNGOLILVKO JIH NJGWLHKHIQQG ÜdVOG e gd£FÝ£Þ e ß
¤OG HGJHMNGOLILVKO JIH IWKPNQKHIJUG ÜdVOG e gd£FÝ£Þ e ß
¤OG IOIT¬NG I`GW TGN ¤¥ g g g g g g g g g g g g g g g g g g g g g g g
IHLVLVKO HMITVNMG JIH ªg£e£« Z àgF§£¤¥¥f GL ªg££ ÜJVSWG f§dÀ e ß
_GQJTG R^POG JVSWG WKQJKNMG c T^IVRG R^PO NMXPGOWGPH ÜWWU¬QKOKHG e gd£FÝ£Þ e
ILWU d£¨©d HMITVNM JIH ªKNGJU ££ g g g g g g g g g g
IHLVLVKO I`GW TI LGHQVOKTKVG NLHPWLPHMG RG ªGIO KPVN f £¦¥§
WUMQI RG TI UVMHIHWUVNILVKO I`GW ff¦ ÜJIH FIHTKN F£fß g g g
G TKVWVGT «§¨ 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
«KVLG NKO NLILVXPG GL R¬OIQVXPG g g g g g g g g g g g g g g g g g g g g
GP_ G_GQJTGN RG YKVLG N¬OLUSNG g g g g g g g g g g g g g g g g g g g
I YKVLG MOMHVXPG 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
_GQJTG R^GOWUIVOGQGOL LGQJKHGT g g g g g g g g g g g g g g g g g g g
«KVLG VOIWLV`G©«KVLG IWLV`G g g g g g g g g g g g g g g g g g g g g g g g
`GOGQGOL 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
«KVLG JKP`IOL âLHG IWLV`MG©«KVLG JKP`IOL âLHG RGNIWLV`MG g g g g g g
¥HIONVLVKO NVQJTG R^POG YKVLG IWLV`G `GHN POG VOIWLV`G g g g g g g g g
¥HIONVLVKO R^POG YKVLG IWLV`G `GHN JTPNVGPHN IPLHGN g g g g g g g g g g
¥HIONVLVKO RG JTPNVGPHN YKVLGN IWLV`GN `GHN POG IPLHG g g g g g g g g g
¥HIONVLVKO RG JTPNVGPHN YKVLGN IWLV`GN `GHN JTPNVGPHN YKVLGN g g g g g g
¥HIONVLVKO GO RMWITM 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
dPTLVJTGN WKORVLVKON 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 WKORVLVKO £LLGOLG 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 WKORVLVKO àVO 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
GN HGTILVKON ãIJJPVãZãHGTIWUMã GL ãIJJPVäHGTIWUMã g g g g g g g g g
I HGTILVKO ãNGTGWLVKOã 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
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GN RV¢MHGOLN HKPJGN g g g g g g g g g g g g g g g g g g g g g g
àKHQIL MOMHIT R^POG WKOLHIVOLG NPH POG `IHVIYTG g g g g g g g
¥HKVN G_GQJTGN RG [KOWLVKON RG LHION[GHL g g g g g g g g g g g g
dKRPTILVKO RG TI UIPLGPH I`GW LHKVN YKPLKON g g g g g g g g g
«INWPTGQGOL R^PO VONLHPQGOL c T^IPLHG g g g g g g g g g g g g
FUKV_ RP YKPLKO TG JTPN IJJP¬M g g g g g g g g g g g g g g g g
_GQJTG RG QVNG GO JTIWG R^POG NLHPWLPHG g g g g g g g g g g g
FKQJKNVLVKO GO [IVNIOL `IHVGH TGN `IHVIYTGN RG QKRPTILVKO g g
FKQJKNVLVKO GO [IVNIOL `IHVGH TGN `IHVIYTGN R^GO`VHKOOGQGOL 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
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
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^KHVVOG RG TI QPNVXPG GNL VOWGHLIVOGZ QIVN GTTG NGQYTG HGQKOLGH IP_ JGPJTGN
TGN JTPN JHVQVLV[NZ XPV RMc PLVTVNIVGOL RP YKVNZ RGN JVGHHGNZ KP TGPHN JHKJHGN WKHJN
JKPH MOMHGH PO GOWUIÈOGQGOL RG NKONg
FGN JHGQVGHN KYGLN KOL `VLG ILLGVOL TGPHN TVQVLGNg GN UKQQGN KOL ITKHN WKQe
QGOWMN c NG WKONLHPVHG TGPHN JHKJHGN VONLHPQGOLN RG QPNVXPGg £P bTN RGN IOOMGNZ
RV`GHN VONLHPQGOLN GL RV`GHN OKLILVKON ÜWKQQG JIH G_GQJTG TG NKT[SGß KOL [IVL TGPHN
IJJIHVLVKONg ÉHéWG c WGTIZ VT GNL RG`GOP JKNNVYTG RG WKQJKNGH GL RG LHIONQGLLHG NGN
WKQJKNVLVKON JKPH XP^GTTGN NKVGOL KPMGN JIH O^VQJKHLG XPGT QPNVWVGOg
O Z VGHHG WUIG¢GHZ GQJTK¬M IP WTPY R^GNNIV RG TI HIRVK [HIOêIVNGZ RMe
WVRG R^GOHGVNLHGH NPH RVNXPG RGN NKONZ XP^VTN JHK`VGOOGOL R^VONLHPQGOLNZ R^KYGLN
RG TI `VG XPKLVRVGOOG KP RG TI OILPHGg O NG NGH`IOL RG JTPNVGPHN LKPHOGeRVNXPGN
RMWTGOWUMN c RGN QKQGOLN JHMWVNZ GL GO G_JMHVQGOLIOL RGN G¢GLN ÜJIH G_GQJTG GO
HITGOLVNNIOL TI TGWLPHGßZ VT RMbOVL POG QPNVXPG R^PO OKP`GIP GOHG PLVTVNIOL G_WTPe
NV`GQGOL RGN NKON JHMeGOHGVNLHMNZ QKRVbMN KP OKOg £`GW T^IJJIHVLVKO RG TI YIORG
QIOMLVXPGZ VT JPL GONPVLG [IVHG RP QKOLIG GO WKPJIOL GL GO HGWKTTIOL RGN QKHe
WGIP_ RG YIORGNZ WHMGH RGN YKPWTGN [IWVTGQGOLZ KPGH PO NKO c T^GO`GHN GLWg
I QPNVXPG IVONV WHMG JKHLGHI R^IYKHR TG OKQ RG ëìíîïìð ñòóñôõöðZ JPVN ëì÷
íîïìð øñòìíëøöîïìðg ¦KPN TI RMNVOKON JTPLùL IPKPHR^UPV NKPN TG LGHQG RG ëìíîïìð
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¤OG JVSWGü MTGWLHKIWKPNLVXPG NG WKQJKNG GO NLPRVKZ GL GNL GONPVLG MOMHITGQGOL
RV¢PNMG NION QPNVWVGONZ NPH PO KHWUGNLHG RG UIPLeJIHTGPHNýg FGTPV XPV RV¢PNG TI
JVSWG NG WKOLGOLG RG NJILVITVNGH TGN NKON GO RMWVRIOL NPH XPGT UIPLeJIHTGPH GO`K¬GH
TGN NKONg §O JIHTG ITKHN RG JVGWG JKPH NPJJKHLg
FGHLIVON WKQJKNVLGPHNZ `KPTIOL HIKPLGH POG JHMNGOWG UPQIVOG TKHN RG TI RV¢Pe
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NVKO RG TGPHN JVSWGNZ RMWVRGOL RG [IVHG RGN WKQJKNVLVKON ëî öðíg ION WG WINZ GO JTPN
RG TI JIHLVG MTGWLHKIWKPNLVXPGZ PO KP JTPNVGPHN QPNVWVGON KPGOL GO QâQG LGQJNg
fT G_VNLG RV`GHNGN QIOVSHGN RG N¬OWUHKOVNGH TI JIHLVG NPH NPJJKHL RV¢PNMG I`GW TI
JIHLVG VONLHPQGOLITG KPMG GO RVHGWL a TI JTPN PLVTVNMG GNL RG TIVNNGH c PO VONLHPe
QGOLVNLG POG JMRITG NPH TIXPGTTG VT JGPL IJJP¬GH JKPH TIOWGH KP IHHâLGH TI JIHLVG
MTGWLHKIWKPNLVXPGg
McZ I`GW TGN JVSWGN QV_LGNZ OKPN JKP`KON OKLGH POG `KTKOLM RG WGHLIVON WKQe
JKNVLGPHN c HG`GOVH c POG QVNG GO NWMOG GL c POG VOLGHIWLV`VM JHKWUG R^PO WKOWGHL
QPNVWIT JTPN LHIRVLVKOOGTg
¦KPN RVNJKNKON IPKPHR^UPV RG WKOLHùTGPHN GNLPGTN GOLVSHGQGOL JHKHIQQIYTGNZ
JGHQGLLIOL TG RMWTGOWUGQGOL RG NKON `IHVMN ÜHéWG c RGN bWUVGHN NKONZ KP HéWG c RG
TI N¬OLUSNGß GL TI QKRVbWILVKO GO LGQJN HMGT RG WGN NKONg £`GW RG LGTN WKOLHùTGPHN GL
TI JPVNNIOWG WHKVNNIOLG RGN KHRVOILGPHNZ VT RG`VGOL JKNNVYTG R^VOLGHJHMLGH RGN JVMWGN
GO LGQJN HMGTg
dITHM WGTIZ RG LGTN WKOLHùTGPHN JGHQGLLIOL RG MOMHGH LKPL L¬JG RG NKO KP
R^IJJTVXPGH LKPL L¬JG R^G¢GL OG RVNJKNGOL JIN RG JIHLVLVKOZ c TI RV¢MHGOWG RGN
VONLHPQGOLN LHIRVLVKOOGTNg G JTPNZ VTN NKOL GOWKHG RV WVTGN c JHKHIQQGHZ WG XPV
[HGVOG RG OKQYHGP_ WKQJKNVLGPHNg
G LHI`IVT JHMNGOLM RION WG HIJJKHL GNL PO RGN JHKGLN RG TI fd JKPH TGXPGT
TG Ffd Ü ß IJJKHLG NGN WKQJMLGOWGNg fT WKONVNLG GO TI JHKJKNVLVKO RP QKe
RSTG RG WKQJKNVLVKO QPNVWITG MLPRVM RION WG QMQKVHGZ YINM NPH POG HGJHMNGOLILVKO
UVMHIHWUVXPG TVIOL QVWHK GL QIWHKeNLHPWLPHGN QPNVWITGNg FG QKRSTG JGHQGL T^PLVTVNIe
LVKO R^PO WKOLHùTGPH GNLPGT JIHLVWPTVGH \ TG dMLIefONLHPQGOL a JPVN TI WKQJKNVLVKO
GL GObO T^G_MWPLVKO RG TI WHMILVKOg
O M`VLIOL TG LHI`IVT RG JHKHIQQILVKOZ GL GO JGHQGLLIOL RG PVRGH TI WKQe
JKNVLVKO GL T^G_MWPLVKO R^POG JVSWGZ WG QKRSTG I JKPH YPL RG NVQJTVbGH TG LHI`IVT
RGN WKQJKNVLGPHNZ GL RG JHKJKNGH POG VRMG RG JIHLVLVKO JKPH TGN QPNVWVGONg fT I
MITGQGOL JKPH YPL RG JHKJKNGH POG OKP`GTTG [IêKO RG WKQJKNGH JIH KHIOVNILVKO
UVMHIHWUVXPG RGN RKOOMGN GL RP LGQJNZ GO JIHLIOL RG TI QVWHKeNLHPWLPHG ÜTG NKOß
`GHN TI QIWHKeNLHPWLPHG ÜTI [KHQG RG TI JVSWGßg fT JHKJKNG IPNNV RG NG YINGH NPH TG
QMWIOVNQG RGN WKOLHIVOLGNZ RMc VOVLVM IP Ffd I`GW TG TKVWVGT «§¨Z TKVWVGT
IP NGVO RPXPGT WG QKRSTG NGHI VQJTMQGOLMg
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GNL R^VOLMHGH TGN RV¢MHGOLN NI`KVHe[IVHG IPLKPH RP dMLIefONLHPQGOL RION
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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
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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
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ION WG WINZ TG WKQJKNVLGPH RVNJKNG R^POG YIOXPG RG NKONZ XP^VT JGPL IGOWGH LGQe
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JKPH T^GOWGVOLG RG IPWUGZ GL WGTPV JKPH WGTTG RG RHKVLG
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JGPL G_MWPLGH T^ÇP`HG GO LHIRPVNIOL TI JIHLVLVKOg
ION TG WIRHG R^POG WKQJKNVLVKO MTGWLHKIWKPNLVXPG K T^KGP`HG GNL b_MG NPH PO
NPJJKHL ÜNKP`GOL NPH PO F ßZ TI JGH[KHQIOWG HG`VGOL c MLGORHG TI NJILVITVNILVKO
RP WKQJKNVLGPH a GO G¢GLZ TI JVSWG GNL TG JTPN NKP`GOL WKQJKNMG GO NLMHGKZ JKPH
âLHG GONPVLG RV¢PNMG NPH POG RV IVOG R^GOWGVOLGN GO WKOWGHLg fT [IPL RKOW WUKVNVH TGN
GOWGVOLGN XPV KPGHKOL TI JIHLVG IPWUGZ GL WGTTGN XPV KPGHKOL TI JIHLVG RHKVLGZ IVONV
XP^POG `IHVILVKO RP `KTPQGg
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OG NKVL b_MGN NPH PO NPJJKHLg FGTI `GPL RVHG XPG TG QPNVWVGO OG RKVL JIN NGPTGQGOL
NJILVITVNGH TI JVSWGZ QIVN VT RKVL MITGQGOL IVH NPH NKO RM`GTKJJGQGOL ÜWUKVNVH PO
NKOZ IJJTVXPGH RGN G¢GLN GO LGQJN HMGTZ GLWgßg
I WKQJKNVLVKO JIH NKT[SG GNL LHKJ HMRPVLG JKPH HGJHMNGOLGH LKPN TGN L¬JGN RG
NKON GL TI WKQJKNVLVKO RVHGWLG NPH TGN NKON GOHGVNLHMN GNL LHKJ HVVRGg fT [IPL RKOW
LHKP`GH POG OKP`GTTG [IêKO RG WKQJKNGHZ GL PO N¬NLSQG RG OKLILVKO JGHQGLLIOL
R^IVRGH c TI JGH[KHQIOWG GL c TI LHIONQVNNVKO RGN ÇP`HGNg F^GNL TG YPL JHGQVGH RP
QKRSTG XPG OKPN ITTKON JHMNGOLGHg
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OPQMHVXPGNZ WG NVOIT NPYVL PO MWUIOLVTTKOOIGZ JPVN POG XPIOLVbWILVKO ÜJKPH PO
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RG NVOPNK RGNg §O HGJHMNGOLG ITKHN TI [HMXPGOWG GL T^IQJTVLPRG RG WUIXPG NVOPNK RG
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JTPN LHIRVLVKOOGTTGNg ¤O RGN VOLMHâLN RG [KHQITVNGH WG JHKWGNNPN GNL R^GNNI¬GH R^INe
NPHGH POG JGHGOOVLM IP_ KGP`HGNZ NIWUIOL XPG TI RMLGHVKHILVKO RGN NPJJKHLN GNL POG
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G_MWPLVKOg àIVNKON XPIOR QâQG POG WKPHLG RGNWHVJLVKO RGN JIHLVGN JHMWMRIOL TI
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RG GNLGN JGHQGLLIOL RG QKRVbGH TI JVSWG GO LGQJN HMGTZ VT GNL JKNNVYTG RG RMbOVH TGN
LHKVN JUINGN WTG[N RG TI WHMILVKO QPNVWITG \ TI TPLUGHVGZ TI WKQJKNVLVKO GL T^G_MWPLVKO
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WG QKRSTG RKVL JGHQGLLHG RG HGJHMNGOLGH RGN JVSWGN NION IPWPOG VOLGHIWLVKO
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fT RKVL âLHG JKNNVYTG RG RMbOVH RGN GOWUIÈOGQGOLN LGQJKHGTN ÜLHSN HVVRGZ TG
QPNVWVGO O^I JIN RG WKOLHùTG RGNNPNß KP M`MOGQGOLVGTN ÜJTPN TVYHGZ TG QPNVWVGO
JGPL ¬ IVH JIH NGN GNLGNßg
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PNXP^c TI bOZ GL VT RMNVHG NKP`GOL GO HGWKQJKNGH POG JIHLVG JHMWVNGZ IJHMN
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fT RKVL âLHG JKNNVYTG RG RVNJKNGH R^POG JIHLVLVKO ÜRM`GTKJJGQGOL JKNNVYTG RG
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FG QKRSTG RKVL MLGORHG WGTPV RG «§¨ Ü`KVH JIHLVG ggß a GO G¢GLZ WG RGHOVGH
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TG NKO JHKRPVL c RV`GHN GORHKVLN RG TI UVMHIHWUVGg
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R^POG RV¢PNVKOZ JIH G_GQJTGg FG OG NKOL GO IPWPO WIN RGN IVRGN c TI WKQJKNVLVKOZ
JPVNXP^GTTGN OG JGP`GOL GLHG PLVTVNMGN XP^POG [KVN TI JVSWG WKQJKNMGg FG OG NKOL JIN
OKO JTPN RGN JIHLVLVKONZ WIH GTTGN OG RKOOGOL JIN INNG R^VORVWILVKON IP QPNVWVGO
JKPH HGKPGH G_IWLGQGOL TI JVSWGg
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RVXPGH NPH TG L¬JG RG NKONZ GTTG JGPL GO HG`IOWUG RKOOGH RGN VO[KHQILVKON NPH TGN
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TG RKQIVOG RGN JVSWGN QV_LGNZ c PO VONLHPQGOLVNLG RG NI`KVH N^VT `IPL QVGP_ KPGH
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fO[KHQILVXPG RG dIHNGVTTG Ü ßg §O WKONVRSHG XP^POG ¤OVLM MQVKLVXPG ¥GQJKHGTTG
GNL PO QKHWGIP RG TI QPNVXPG LGT XP^VT JKNNSRGZ HéWG c NKO G`KTPLVKO QKHJUKTKVGZ
PO NGON LGQJKHGT a QâQG UKHN WKOLG_LGg £VONVZ TI RPHMG RG WUIWPOG RG WGN POVLMN
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FUPLG \ úïìîûî ôð îóíöø û ð ïìî íð ôòë ö íìí ðóí ìîí øíñì û ðëðóö ðôöð
úóðô îð òöðóöîðûû ð ïìî íð ñòó ðôöîð ðó úóðô îð ñîó úöîïìð
FKOLHIWLMeMLGORP \ ø òô íðóíøöîòó ð ñòë ôðííîòó ñòëëð íî òó í ø ì øîö
òôöðëðóö ñòóöôð ìó ò íöøñû ð ìîí ñðö ò íöøñû ð ñ ð ôìöø û ðëðóö
PH T^GHHG \ û îëø ð ðíö ñðûû ð ìó øöðøì ïìî ø øóö ø ø ûú íðí òîû ðí òì ñòì ú
íòó ëòöðìô ñòóöîóìð ø øóñðô íìô û ðôôð ô ñð íø îöðííð øñïìîíð
LVHGQGOL \ òóóð û îë ôðííîòó ø ûû ðô ðôí û ð ëø îëìë ìó ð òôö ìó
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TG FGOLHG ¦ILVKOIT RG KWPQGOLILVKO MRIKVXPG Ü ß
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TG HMNPTLIL RG WGLLG HGJHMNGOLILVKOg I JIHLVG UIPLG N¬QYKTVNG TGN IQJTVLPRGNZ TI
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RG TI bPHG gZ VT GNL JKNNVYTG RG WKOLHùTGH TI JKNVLVKO GL TI LIVTTG RG TI [GOâLHGZ
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g ¥HIONVLVKO R^POG YKVLG IWLV`G `GHN JTPNVGPHN IPLHGN
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g ¥HIONVLVKO RG JTPNVGPHN YKVLGN IWLV`GN `GHN POG IPLHG
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Ä ÄC
ÍÌDCDC ×
C C D CDÌ ×
¤OG LHIONVLVKO RG JTPNVGPHN YKVLGN `GHN POG YKVLG GNL HGJHGNGOLMG JIH JTPNVGPHN
âWUGN NKHLIOL RG WUIWPOG RGN YKVLGNZ NG HGHKPJIOL NPH PO M`MOGQGOL GO POG NGPTG
âWUG GOLHIOL RION POG YKVLGg
GN YKVLGN I`GW TGN âWUGN NKHLIOLGN RKV`GOL âLHG IWLV`Gg
KHNXPG T^M`MOGQGOL NPH`VGOLZ TGN YKVLGN I`GW TGN âWUGN NKHLIOLGN RG`VGOOGOL
VOIWLV`GNZ GL WGTTG I`GW TI âWUG GOLHIOLG WKHHGNJKORIOLG RG`VGOL IWLV`Gg
Ü`KVH bPHG gß
ION TG HMNGIP RG GLHVZ TI LHIONVLVKO GNL T^M`MOGQGOLZ GL WGLLG LHIONVLVKO JTIWG
PO GLKO RION Ü¨ß I`GW ¨ TGN YKVLGN I`GW TGN âWUGN NKHLIOLGN GL PO IPLHG GLKO
RION Ü¿ß I`GW ¿ TI YKVLG I`GW TI âWUG GOLHIOLG WKHHGNJKORIOLGg
FGWV GNL POG HGTILVKO óîí ðí RION TGN HGTILVKON RG £TTGOg
Ä ÄC
ÍÌDCDC ×
C C ÍÌDCDC ×
C
¤OG LHIONVLVKO RG JTPNVGPHN YKVLGN `GHN JTPNVGPHN IPLHGN GNL HGJHGNGOLMG JIH
JTPNVGPHN âWUGN NKHLIOL RG WUIWPOG RGN YKVLGNZ NG HGHKPJIOL GO PO M`MOGQGOLZ
JPVN NG NGJIHIOL `GHN JTPNVGPHN âWUGN GOLHIOL RION R^IPLHGN YKVLGNg
GN YKVLGN I`GW TGN âWUGN NKHLIOLGN RKV`GOL âLHG IWLV`Gg
KHNXPG T^M`MOGQGOL NPH`VGOLZ TGN YKVLGN I`GW TGN âWUGN NKHLIOLGN RG`VGOOGOL
VOIWLV`GNZ GL WGTTGN I`GW TGN âWUGN GOLHIOLGN WKHHGNJKORIOLGN RG`VGOOGOL IWe
LV`GNg
Ü`KVH bPHG gß
ION TG HMNGIP RG GLHVZ TI LHIONVLVKO GNL T^M`MOGQGOLZ GL WGLLG LHIONVLVKO JTIWG
PO GLKO RION Ü¨ß I`GW ¨ TGN YKVLGN I`GW TGN âWUGN NKHLIOLGN GL PO IPLHG GLKO
RION Ü¿ß I`GW ¿ TGN YKVLGN I`GW TGN âWUGN GOLHIOLGN WKHHGNJKORIOLGNg
ÄC
BÄÌB
fT GNL JKNNVYTG RG HMITVNGH POG LHIONVLVKO GO RMWITMZ W^GNL c RVHG XPG JGORIOL TI
HMITVNILVKO RG T^M`MOGQGOL RG LHIONVLVKOZ TI YKVLG XPV RKVL OKHQITGQGOL NG RMNIWLVe
`GH `I HGNLGH IWLV`G JGORIOL PO TIJN RG LGQJNZ RMLGHQVOM JIH POG WKORVLVKO R^IHHâLg
G T^IPLHG WKLM RG TI LHIONVLVKOZ TI YKVLG N^IWLV`G RVHGWLGQGOLg KOWZ JGORIOL TG TIJN
RG LGQJNZ TGN RGP_ YKVLGN NKOL IWLV`GN GO QâQG LGQJNg
KPH TI RV¢MHGOWVGH R^POG IPLHG LHIONVLVKOZ OKPN TI [GHKON NKHLVH JIH TG YIN RG
TI YKVLGg
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g ¥HIONVLVKO RG JTPNVGPHN YKVLGN IWLV`GN `GHN JTPNVGPHN YKVLGN
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g ¥HIONVLVKO GO RMWITM
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Ü`KVH bPHG gß
ION PO HMNGIP RG GLHVZ KO GO`KVG RVHGWLGQGOL PO GLKO RION Ü¿ß I`GW ¿ TI
YKVLG RG`IOL âLHG IWLV`MGZ GL PO IPLHG GLKO RION POG JTIWG `VRGg áPIOR TI WKORVLVKO
R^IHHâL NPH`VGOLZ TG GLKO RG TI JTIWG `VRG JINNG RION POG JTIWG Ü¨ß LGHQVOIOL TI
YKVLG R^KHVVOGg
FGWV GNL POG HGTILVKO ò ðô û ø í RION TGN HGTILVKON RG £TTGOg
ÌDCDC B BEC
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g dPTLVJTGN WKORVLVKON
TPNVGPHN M`MOGQGOLN JGP`GOL IJJIHIVLHG NPH POG GWUGNg ION WG WIN \
áPIOR TG JHGQVGH M`MOGQGOL NPH`VGOLZ TGN YKVLGN ¬ GLIOL HGTVMGN JIH RGN âWUGN
NKHLIOLGN NG RGNIWLV`GOL a GTTGN RKV`GOL âLHG IPJIHI`IOL LKPLGN IWLV`GNg
KHNXPG TG RGHOVGH M`MOGQGOL NPH`VGOLZ TGN YKVLGN ¬ GLIOL HGTVMGN JIH RGN âWUGN
GOLHIOLGN N^IWLV`GOLg
GN M`MOGQGOLN RKV`GOL NPH`GOVH NMXPGOLVGTTGQGOLg
Ü`KVH bPHG gß
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ION TG HMNGIP RG GLHVZ TG JHGQVGH M`MOGQGOL GO`KVG PO GLKO RION TGN ܨß
I`GW ¨ TGN YKVLGN ¬ IHHV`IOLZ GL PO GLKO RION POG JTIWG `VRGg FGLLG JTIWG `VRG NG
HGTVG c POG IPLHG LHIONVLVKOg G RGHOVGH M`MOGQGOL GO`KVG PO GLKO RION TGN Ü¿ß
I`GW ¿ TGN YKVLGN ¬ GLIOL HGTVMGN JIH RGN âWUGN GOLHIOLGNg
FGWV GNL POG HGTILVKO ð òôð RION TGN HGTILVKON RG £TTGOg
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ION WGLLG JIHLVG RG TI YKVLGZ OKPN RG`KON WUKVNVH TGN G¢GLN XPV JGP`GOL N^¬
IJJTVXPGHg FGLLG TVNLG `I RMLGHQVOGH TGN `IHVIYTGN RG QKRPTILVKO NPH TGNXPGTTGN VT
NGHI JKNNVYTG R^IVHg
¡KVWV POG TVNLG ÜOKO G_UIPNLV`Gß R^G¢GLN GL TGN `IHVIYTGN XPV ¬ NKOL INNKWVMGN \
dKRPTILVKO RP `KTPQG \
`KT \ HMGT JKNVLV[Z HGJHMNGOLIOL TG JKPHWGOLIG RP `KTPQGg
G_GQJTG \ JKPH KPGH TG NKO NION `IHVILVKO RG `KTPQGZ JKPH TG KPGH
RGP_ [KVN QKVON [KHLZ JKPH TG KPGH RGP_ [KVN JTPN [KHLggg
JILVITVNILVKO NPH O WIOIP_ \
WIOIT ggg WIOITO \ HMGT JKNVLV[Z HGJHMNGOLIOL TG JKPHWGOLIG RP `KTPQG NPH
WG WIOITg V PO NKO GNL QKOKZ VT GNL KPM NVQPTLIOGQGOL NPH LKPN TGN WIOIP_g
V PO NKO GNL NLMHGKZ TI JIHLVG IPWUG GNL KPM NPH LKPN TGN WIOIP_ JIVHN GL
TI JIHLVG RHKVLG NPH LKPN TGN WIOIP_ VQJIVHNg V PO NKO GNL WKQJKNM JKPH O
WIOIP_Z WUIXPG WIOIT KPG TI JIHLVG ILLHVYPMGg
G_GQJTG \ NPH RGP_ WIOIP_Z NV WIOIT GL WIOIT Z TG NKO NGHI JTPLKL
JGHêP c RHKVLGg
FUIOGQGOL RG TI UIPLGPH \
JVLWU \ HMGT JKNVLV[ KP OGILV[Z HGJHMNGOLIOL TGN RGQVeLKONg
G_GQJTG \ JKPH PO RGQVeLKO NPJGHVGPHZ JKPH POG KWLI`G NPJGHVGPHGZ e
JKPH PO LKO VO[GHVGPH ggg
àVTLHIG RGN [HGXPGOWGN UIPLGN GL YINNGN \
[HGXU \ HMGT JKNVLV[Z HGJHMNGOLIOL TI [HMXPGOWG IP RGTI RG TIXPGTTG TGN [HMe
XPGOWGN NGHKOL NPJJHVQMGNg
[HGXY \ HMGT JKNVLV[Z HGJHMNGOLIOL TI [HMXPGOWG GO RGNNKPN RG TIXPGTTG TGN
[HMXPGOWGN NGHKOL NPJJHVQMGNg
G_GQJTG \ I`GW [HGXU GL [HGXY Z NGPTGN TGN [HMXPGOWGN WKQJHVNGN
GOLHG GL NGHKOL IPRVYTGNggg
O WUKVNVNNIOL T^G¢GL ûöôð GL T^G¢GL ñ øó ðëðóö ð øìöðìôZ VT RG`VGOL JKNNVYTG
R^IVH NPH TGN `IHVIYTGN ôðï Z ôðï GL îöñ g
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FGN `IHVIYTGNZ JGHQGLLIOL TI QKRPTILVKO RGN JIHIQâLHGN R^G¢GL NGHKOL RGbOVGN
WKQQG RGN øôîø û ðí ð ëò ì û øöîòóg
¦KPN `GHHKONZ RION TI JIHLVG RGWHV`IOL TGN VOLGHIWLVKON ÜNGWLVKO gß WKQQGOL
IVH NPH WGN `IHVIYTGNg
fT NGHIVL VOLGHGNNIOL RG JGHQGLLHG c OKLHG QKRSTG R^PLVTVNGH TGN JTPVON ¡¥Z
£ £ KP d£¨Z LHSN PLVTVNMN RION TGN QPNVXPGN MTGWLHKIWKPNLVXPGNg
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¤OG JIHLVG RG TI YKVLG GNL HGNGH`MG IP_ GNLGNZ JGHQGLLIOL RG QKRPTGH TGN `Ie
HVIYTGNZ XP^GTTGN NKVGOL RG QKRPTILVKO KP R^GO`VHKOOGQGOLZ KP R^IVH NPH TG RMHKPe
TGQGOL RG TI JVSWGg
¤O GNLG GNL PO NVOIT MWUIOLVTTKOMg ION TG WIRHG RP dMLIefONLHPQGOLZ T^MWUIOe
LVTTKOOIG GNL RG `ITGPHN JIH NGWKORGZ I`GW RGN `ITGPHN JKP`IOL `IHVGH GOLHG
GL g
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àIVNKON PO TVGO GOLHG OKLHG QKRSTG GL T^IJJHKWUG [KOWLVKOOGTTG RP GNLG RG ªGIOe
dVWUGT F§¤¥¤f Ü ß a OKPN JKP`KON GNNI¬GH RG RMbOVH RGN L¬JGN RG GNLGN
JKPH OKLHG QKRGTGg
GNLG R^G_WVLILVKO \ GNLG IWLV`IOL POG YKVLG NKO
GNLG RG QKRVbWILVKO NLHPWLPHGTTG \ GNLG QKRVbIOL POG `IHVIYTG R^GO`VHKOGe
QGOL
GNLG RG QKRVbWILVKO JIHIQGLHVXPG \ GNLG QKRVbIOL POG `IHVIYTG RG QKRPe
TILVKO
GNLG JHMJIHILKVHG \ GNLG NMTGWLVKOOIOL POG YKVLG KP POG IPLHG
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RGP_ GONGQYTGN \
fOLMHIYTGN \ GNLGN XPV OG JGP`GOL GLHG NGJIHMNZ TI QKRVbWILVKO RG T^PO GOe
LHIVOIOL TI QKRVbWILVKO RG T^IPLHGg IH G_GQJTGZ NV OKPN `KPTKON RMJTIWGH
POG NKPHVN RG IPWUG c RHKVLG NPH PO GWHIOZ VT GNL XPINVGQGOL VQJKNNVYTG RG
TG [IVHG OILPHGTTGQGOL GO TVOG RHKVLG GO M`VLIOL TGN QKP`GQGOLN `GHN TG UIPL
KP `GHN TG YINg
MJIHIYTGN \ GNLGN RVNLVOWLNg IH G_GQJTGZ TG YKPLKO RHKVL GL TG YKPLKO IPWUG
RG TI NKPHVNg
FG WTINNGQGOL VORPVL POG WKONMXPGOWG NPH TI RVQGONVKO RGN WKPHYGN RG GNLG
RION OKLHG QKRMTVNILVKOg GN NMJIHIYTGN NGHKOL RION PO GNJIWG c RGP_ RVQGONVKONZ
TGN VOLMHIYTGN RION PO GNJIWG RG RVQGONVKO JTPN HIORGg
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£JHGN GOXPâLG IPJHSN RGN WKQJKNVLGPHN RP Ffd PLVTVNIOL TG dMLIefONLHPQGOLZ
`KVWV XPGTXPGN HGQIHXPGN VQJKHLIOLGN XPV JGP`GOL âLHG [IVLGN \
G RGJTIWGQGOL RG T^I`IOL YHIN UKHV KOLITGQGOLZ `GHLVWITGQGOLZ IVONV XPG
T^VOWTVOIVNKO RG TI QIVO NKOL RGN GNLGN VOLMHIYTGNg
GN IPLHGN GNLGNZ R^IJJPV NPH PO YKPLKO KP RG RMJTIWGQGOL RP NTVRGH NKOL
NGJIHIYTGN
GN YKPLKON JTIWMN IP YKPL RG WUIXPG RKVL NKOL RV WVTGN c RVNLVOPGHg §O
IJJPVG NKP`GOL PO JGP NPH TGN YKPLKON IRIWGOLN WGTPV XPG T^KO `GPL `HIVQGOL
GO[KOWGHg
GN VO[KHQILVKON RGN WIJLGPHN XPV OKPN VOLMHGNNGOL NKOL \ TI JKNVLVKO IYNKTPGZ
TI JKNVLVKO HGTILV`GZ TI `VLGNNGZ T^IWWMTMHILVKOZ TI RMLGWLVKO RG JVW R^IWWMTMHILVKO
ÜTGN IWKPJNß
FGHLIVOGN VO[KHQILVKON [KOL VOLGH`GOVH JTPNVGPHN WIJLGPHNg F^GNL TG WIN JIH
G_GQJTG RG T^MWIHLGQGOL RGN YHINZ RG T^IOTG R^PO I`IOL YHINZ RG TI RV¢MHGOWG
GO ¨ KP GO ¿ GOLHG TGN RGP_ YHINZ RG TI RMLGWLVKO R^POG [KHQG ÜJIH G_GQJTGZ
[IVHG PO WIHHM I`GW NKO YHINßZ RG T^IJJPV NPH JTPNVGPHN YKPLKON GO QGQG LGQJNg
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FGHLIVOGN QKRVbWILVKON RG `IHVIYTGN RG QKRPTILVKO KP R^GO`VHKOOGQGOL OG RMe
JGORGOL JIN RVHGWLGQGOL RP GNLG RG T^VONLHPQGOLVNLGg ¦KPN RMbOVNNKON ITKHN TI
QKRVbWILVKO RG WGN `IHVIYTGN WKQQG RMJGORIOL RG ðíöðí úñôîöíg FGWV JGPL GLHG
JIHLVWPTVSHGQGOL PLVTG TKHNXPG TI JVSWG WKOLVGOL POG JIHLVG RGQIORIOL POG `HIVG
`VHLPKNVLMg fT JGPL GLHG NKPUIVLIYTG RG JHKJKNGH XP^PO IJJPV NPH PO YKPLKO MOSHG
®¯°±²®³´µ´¶·³ ¸¶±°µ°¹¸¶º»® ¼¶µ³´ ½¶¹°· ®´ ½µ¹°·¾²´°»¹´»°®² ½»²¶¹µ¼®²
POG WKPHYGg IH G_GQJTGZ PO IJJPV NPH PO YKPLKO JHKRPVL PO RMWHGNWGORK IPLKe
QILVXPGQGOLg G GNLG JU¬NVXPG GNL T^IJJPV NPH PO YKPLKOZ QIVN TG GNLG TKVXPG
GNL POG WKPHYG ITTIOL R^PO QI_VQPQ c PO QVOVQPQ g
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OLHG PO GNLG GL POG VOLGHIWLVKOZ OKPN VONLITTKON POG HGTILVKO RG WKOLHIVOLGZ
WIH TI YVRVHGWLVKO RG TI WKOLHIVOLG JGHQGL \
IP WKQJKNVLGPH RG N^VOLMHGNNGH IP_ `IHVIYTGN GL GOWUIÈOGQGOLNZ GL TG GNLG
NG WITWPTG IPLKQILVXPGQGOLZ KP RG N^VOLMHGNNGH IP_ GNLGN GL `VNPITVNGH T^VOe
PGOWG NPH TGN `IHVIYTGN GL GOWUIÈOGQGOLNg
IP QPNVWVGO RG N^VOLMHGNNGH IP_ GNLGNZ GL R^VO PGOWGH TGN `IHVIYTGN GL TGN GOe
WUIÈOGQGOLNg
ION WGLLG JIHLVGZ OKPN RVNLVOPKON TG JKVOL RG `PG RG T^VONLHPQGOLVNLGZ XPV IVL
NPH TGN GNLGN GL TIVNNG TGN `IHVIYTGN NG WITWPTGHZ RP JKVOL RG `PG RP WKQJKNVLGPHZ
XPV IVL JHVOWVJITGQGOL NPH TGN `IHVIYTGNZ GL TIVNNG TGN GNLGN NG WITWPTGHg
PH TGN bPHGN XPV `KOL NPV`HGZ ÉZ É GL É HGJHMNGOLGOL TGN YKPLKO Z GL
RG TI QIVO IPWUGZ GL ɨ TI JKNVLVKO GO ¨ RG T^I`IOL YHIN IPWUGg G JTPNZ RION TGN
G_GQJTGNZ OKPN O^PLVTVNGHKON XPG TI JKNVLVKO IYNKTPG WKQQG RKOOMG RGN WIJLGPHNZ
QIVN VT GNL JKNNVYTG R^PLVTVNGH TI RMHV`M JHGQVSHG R^PO WIJLGPH Ü`VLGNNGß KP TI RMHV`M
NGWKORG ÜIWWMTMHILVKOßZ TI JKNVLVKO HGTILV`G GLWg
ION OKLHG QKRSTGZ PO GNLG GNL PO NVOIT MWUIOLVTTKOOMg §O WKONVRSHG PO GOe
NGQYTG RG GNLG
I`GW HGJHMNGOLIOL TI `ITGPH RP GNLG c
T^MWUIOLVTTKO Lg
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¦KPN JHMNGOLKON VWV TGN RV¢MHGOLGN WKOLHIVOLGN XPV `KOL NGH`VH JKPH GOWUIÈOGH
TGN YKVLGN NKPN [KHQG M`MOGQGOLVGTTGg GN WKORVLVKON NKOL QVNGN GO JTIWG TKHNXPG TI
KP TGN YKVLGÜNß RKOL GTTGN RMJGORGOL N^IWLV`GÜOLß a KP RION TG WIN R^POG NPVLG R^M`Me
OGQGOLNZ TKHNXPG TG JHMWMRGOL I MLM `ITVRMg
¦KPN JHKJKNKON RGN WKOLHIVOLGN RG YING ÜILLGOLGZ bOZ IJJPVZ HGTIWUMZ NGTGWLVKOß
GL RGN WKOKOWLVKON KP RVNKOWLVKON RG WKORVLVKOg
®¯°±²®³´µ´¶·³ ¸¶±°µ°¹¸¶º»® ¼¶µ³´ ½¶¹°· ®´ ½µ¹°·¾²´°»¹´»°®² ½»²¶¹µ¼®²
GN LHIONVLVKON JGP`GOL RMJGORHG RG `IHVIYTGNg FG NKOL RION WG WIN RGN `IHVIYTGN
R^GO`VHKOOGQGOLNg
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FGLLG HGTILVKO GNL WUKVNVG TKHNXPG PO TIJN RG LGQJN N^GNL MWKPTM IP QKQGOL RG
TI QVNG GO JTIWG RG T^M`MOGQGOLg
PH TI bPHG gZ TKHN RG T^IWLV`ILVKO RG £Z OKPN QGLLKON GO JTIWG PO LVQGH RG
L QVTTVNGWKORGNg ¦KPN JINNKON c TI YKVLG « RSN XPG L QVTTVNGWKORGN NG NKOL MWKPTMGNg
V L GNL POG `IHVIYTGZ L GNL RMbOVG WKQQG MLIOL POG `IHVIYTG R^GO`VHKOOGQGOLg
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FGLLG HGTILVKO GNL WUKVNVG TKHNXPG TI YKVLG RMNVOMG NG LGHQVOGg fT [IPL XPG WG
NKVL POG YKVLG R^GOWUIÈOGQGOL LGQJKHGTg
PH TI bPHG gZ OKPN JINNKON c TI YKVLG « RSN XPG T^GOWUIÈOGQGOL VOLGHOG c
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FGN LHKVN HGTILVKON NKOL M`MOGQGOLVGTTGNZ GL RMJGORGOL RGN GNLGNg FG NKOL RGN
HGTILVKON JHKWUGN RP WKQJKHLGQGOL RGN VOLGHHPJLGPHNg ¦KPN I`KON \
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IJJPVÜGNLGZ NGPVTß \ TI `ITGPH RP GNLG JINNG R^POG `ITGPH VO[MHVGPHG IP NGPVT
c POG `ITGPH NPJMHVGPHGg F^GNL c RVHG XPG JKPH PO GNLG Z NGPVT GL
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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
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îãá âéàäæßçàäãá ãà äßàä Dê ã îë>ãàì ã ó
îãá >ãáäãá ãàðéçãàä ì ãá ðßîãêæá ãàäæã q ãä xó
©à áäæêí ãàä u s F n E lxm ßæçßäçéà ìê ðéîê í ã ãàäæã q ãä xqq u ðéî xqq ¹ö
l¹m ßæçßäçéà ìã îß å ê îáßäçéà ãàäæã öq ãä xöq : åí
u å êîáßäçéà öq xqq lÊ m k ßà>ãí ãàä ì ê í é ì ã ßââéæì ßæå ò> ã ßðãâ ê à ê à çD êã : éêäéà
E u lßå å ê ç æãîßâ ë l xè q óö m è í é ì ã ßæå ã>ã m í é ìã ßââéæì
E u lßå å ê ç æãîßâ ë l xè q óö m è í é ì ã ßââéæì m í é ì ã ßæå ã>ã
l¨ m k ßà>ãí ãàä ì ã î ôçà áäæê í ãàä ßðãâ ì ãêñ : éêäéà á
ßå å ê ç æãîßâ ë l8 H è q óöm çà áäæ åçßà é
ßå å ê ç æãîßâ ë l8 ö è q óöm çà áäæ áßñ éå éà ã
löm k éçñ ì ã îß àéäã ì ã ì ëå ßæä ì ã î ôßââéæì éê ì ã î ôßæå ò> ã
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lH m ßæçßäçéà ì ã îß ßêäãêæ ßðãâ ê à : éêäéà å éê æ ê à äéà áêå ëæçãê æ è ê à : éêäéà
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l¹m 8 ëâîãà â ãí ãàä ì ôê à áéà ßðãâ ê à : éêäéà
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MARCZAK Raphaël
Étude d'une représentation hiérarchique liant
micro et macro-structures musicales
Annexe : Cahier des charges
Maître de stage : Myriam DeSainte-Catherine
Responsable pédagogique : Bernard Perrot
Vendredi 16 mars 2007
Introduction
L'origine de la musique est incertaine, mais elle semble remonter aux peuples les plus
primitifs, qui déjà utilisaient du bois, des pierres, ou leurs propres corps pour générer un
enchaînement de sons basés sur le rythme, et ayant une visée mystique.
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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