Upload
toby-chin
View
225
Download
0
Embed Size (px)
Citation preview
8/7/2019 Waves and Wave Travel for the Musician - Toby Chin
1/37
Qivls ieb Qivl Rrivlh gfr t`l Kusjcjie
Aricl Cfhhlal
?2 Iprjh ?494
Rfoy C`je
CTF 344
8/7/2019 Waves and Wave Travel for the Musician - Toby Chin
2/37
Jkiajel yfurslhg sjttjea je ie fhb, aft`jc cit`lbrih je Lurfpl. Is pirt fg i splcjih kusjcih
tfur, i skihh vfcih leslkohl fg lja`t ait`lrs it t`l crfssjea, w`lrl t`l ihtir js hfcitlb. Qjt`fut
iey issjstiecl fg ie ikphjgjcitjfe systlk, t`l arfup olajes i kfvjea plrgfrkiecl fg Myrjl
Lhljsfe. Is t`l pjlcl crlsclebfs ieb bjkjeulebfs, olcfkls hfublr iaije, ieb gjeihhy lebs je i
pfwlrguh uejsfe c`frb, lvlry wfrb fg t`l arfup js chlirhy ueblrstffb ieb sllks tf rjea je t`l
fhb cit`lbrih. R`l cit`lbrih, jechubjea t`l wihhs, ghffr, ieb cljhjea olcfkl pirt fg t`l kusjc, ieb
pirt fg t`l leslkohl. R`lsl fhb cit`lbrihs irl wfeblrguh lxikphls fg icfustjcs t`it irl
ipprlcjitlb, eftjclb, ieb cfkkletlb upfe. R`it oljea sijb, t`lrl js i arlit blih kfrl tf
icfustjcs t`ie rlvlrolritjfe je i spicl suc` is i cit`lbrih.
@fwlvlr, icfustjcs js prfoiohy fel fg t`l hlist rlslirc`lb gjlhbs oy kusjcjies ieb t`l
puohjc je alelrih, iebcfeslqulethyjs prfoiohy t`l hlist ueblrstffb. Fg cfursl, t`lrl irl
plfphl t`it `ivl i blgjejtl pissjfe gfr icfustjcs ieb stuby jt rit`lr jetleslhy. Jg kusjcjies
jebllb, kfst plfphlcie ueblrstieb `fw sfueb trivlhs, t`ly cie ueblrstieb `fw virjfus rffks
ieb scleirjfs igglct lic` hjstlejea lxplrjlecl ieb kiml jt uejqul. I glw giclts fg t`js blgjcjt je
kiey plfphls ueblrstiebjea irl i hicm fg lbucitjfe, i rlibjelss fg jegfrkitjfe, ieb t`l pissjea
fe fg t`it jegfrkitjfe. Kiey plfphl bf eft ueblrstieb icfustjcs> w`it sfueb wivls irl, `fw t`l
wivls trivlh, fr w`le t`ly irl iosfrolb fr rlghlctlb.
R`lrl js i wliht` fg jegfrkitjfe iofut icfustjcs out t`it jegfrkitjfe js eft elclssirjhy
rlibjhy ivijhiohl efr js jt je i gfrkit t`it cie lisjhy ol ueblrstffb oy ie ivlrial Nfl w`f `is
ef tlc`ejcih fr leajellrjea oicmarfueb. Bul tf ie jecrlisl je t`l usl fg sfueb systlks ieb i
blsjrl gfr ojaalr ieb olttlr systlks (je ture kfrl cfkphlx sfueb systlks), ie jecrlisjea eukolr
fg plfphl `ivl rlslirc`lb icfustjcs ieb sfueb systlks it i vlry bllp hlvlh. Sfkl fg t`lsl
C`je 9
8/7/2019 Waves and Wave Travel for the Musician - Toby Chin
3/37
plfphl irl t`l stigg fg Sye-Iub-Cfe (i prfglssjfeih trijejea ieb clrtjgjcitjfe cfkpiey) ieb t`l
Iubjf Leajellrjea Sfcjlty (ILS). Qfrmjea tlc`ejcih prfglssjfeihs je cfkpiejls hjml
Hlctrfsfejcs, S`url, LW, Klylr Sfueb, Iurihlx Icfustjcs, _lemus-@ljez, ieb ft`lrs ihsf
cfetrjoutl tf t`l lvlr arfwjea hjoriry fg wrjttle kitlrjihs. R`ljr rlslirc` bfls eft rlihhy jkpict
t`l ivlrial kusjcjie. Is t`l blkieb fg t`lsl kitlrjihs jecrlisls, sf wjhh t`l supphy. R`l
lbucitjfeih kitlrjihs t`lsl plfphl rlhlisl `ivl tf bf kijehy wjt` sfueb systlks. Kuc` fg t`ljr
trijejea kitlrjihs prfvlb `lhpguh je t`l prlpiritjfe fg t`js prlsletitjfe lvle t`fua` t`l kitlrjihs
bf eft bjrlcthy ibbrlss icfustjcs.
Ieb gfr t`fsl w`f irl kfrl slrjfus iofut stubyjea icfustjcs, ihh hiral uejvlrsjtjls fgglr
cfursls t`it ihhfw gfr i bllplr lxphfritjfe fg icfustjcs. @fwlvlr, jt js vlry bjggjcuht tf ol i
kinfr je t`lsl prfariks ieb fecl icclptlb, jt js i tfua` rfib tf aribuitjfe. Kiey fg t`l
prfariks t`it irl kfst `ja`hy rlairblb je t`l gjlhb irl it uejvlrsjtjls suc` is Tlee Stitl.
@fwlvlr, kiey fg t`lsl uejvlrsjtjls fehy fgglr Kistlrs fr Bfctfrih blarlls je icfustjcs, out bf
eft fgglr prfglssjfeih hjclesjea. R`js piplr ieb t`l iccfkpieyjea prlsletitjfe js eft kliet tf ol
i blgjejtjvl rlsfurcl gfr kusjcjies w`f blsjrl i bllp stuby fg icfustjcs. _it`lr, t`lsl irl kliet
tf rijsl curjfsjty je t`l iubjlecl ieb tf prfvjbl i oisjc ueblrstiebjea fg t`l gjlhb fg icfustjcs. Jt
wjhh ihsf alelritl i slesl fg jkpfrtiecl ieb i blsjrl je t`l kusjcjie tf gurt`lr `js mefwhlbal fg
icfustjcs.
Sf, w`it js sfueb6 Je Bfeihb @ihhs offm, Kusjcih Icfustjcs, `l stitls t`it sfueb js
t`l slesitjfe fg `lirjea fr t`l ijr bjsturoiecl t`it ciusls jt9. R`l gfhhfwjea ial fhb qulstjfe
cie gjeihhy ol ieswlrlb. Jg i trll gihhs je t`l gfrlst ieb ef fel js prlslet tf `lir jt, bfls jt stjhh
C`je ?
9Bfeihb L. @ihh,Kusjcih Icfustjcs> Ie Jetrfbuctjfe (Olhkfet, CI,9:04), 9.
8/7/2019 Waves and Wave Travel for the Musician - Toby Chin
4/37
kiml i sfueb6 Iccfrbjea tf @ihhs blgjejtjfe ieb tf t`l olst wfrmjea mefwhlbal fg t`js iut`fr,
yls, t`l gihhjea trll stjhh kimls i sfueb olciusl t`lrl js i bjsturoiecl fg sfueb wivls je t`l ijr
ieb jt bfls eft kittlr jg ieyfel wis t`lrl tf `lir t`l trll gihh. R`l bjsturoiecl fg t`l ijr js t`l
sfueb, eft t`l klrl slesitjfe fg sfueb. I plrsfes plrclptjfe fg sfueb js jkkitlrjih is tf
w`lt`lr fr eft t`l sfueb rlihhy lxjstlb fr eft. I plrsfe w`f `is i wfrmjea iubjtfry slesl cie
tlstjgy t`it t`lrl wis jebllb i sfueb. Fe t`l ft`lr `ieb, i blig plrsfe bfls eft `ivl `js iubjtfry
slesl ieb wfuhb siy t`it t`lrl js ef sfueb w`le je gict t`lrl ictuihhy wis i klisuriohl sfueb.
Zlt ieft`lr scleirjf tf cfetlkphitl> iubjtfry `ihhucjeitjfes. I plrsfe olhjlvls `l `lirb i sfueb
t`it wis eft prlslet, lvle t`fua` `l `ib plrcljvlb jt. R`lrlgfrl i trul sfueb fr efjsl cie ol
klc`iejcihhy klisurlb ieb cie ol `ukiehy foslrvlb is wlhh.
Q`it lxicthy ciusls t`l bjsturoiecls je t`l ijr6 Sfueb wivls trivlhjea t`rfua` t`l ijr
irl t`l bjsturoiecls. I affb wiy tf levjsjfe t`js js tf t`jem fg i shjemy. Shjemys crlitl twf gfrks
fg wivls, kuc` hjml t`l sfueb wivls trivlhjea t`rfua` ijr. R`lsl gfrks irl hfeajtubjeih ieb
triesvlrsl wivls. Hfeajtubjeih wivls cfkprlss iaijest lic` ft`lr, prfplhhjea t`l wivls olgfrl
t`lk, ieb t`us pus`jea t`l wivls tf t`ljr blstjeitjfe. Rriesvlrsl wivls trivlh sjbl tf sjbl, ieb
t`js js w`it wl plrcljvl is ikphjtubl, fr hfubelss.
Jt kiy ylt ol uechlir is tf w`it ciusls t`l bjsturoiecls je t`l ijr. Sf, alttjea oicm tf t`l
qulstjfe wjt` i kfrl scjletjgjc lxphieitjfe, lelray js lxlrtlb upfe t`l pirtjchls elirlst t`l
sfurcl fg t`l sfueb. Is t`l vfhukl fg t`l sfueb jecrlisls, sf bfls t`l eukolr fg pirtjchls
igglctlb. R`l pirtjchls elirlst t`l sfurcl fg t`l efjsl oukp iaijest t`l elxt pirtjchl ieb sf fe
uetjh t`l bjsturoiecl, fr sfueb, rlic`ls yfur lirs. R`js prfclss cie spie i arlit bjstieclkjhls
jg t`l sfurcl lxlrts lefua` lelray (fr js hfub lefua`).
C`je 3
8/7/2019 Waves and Wave Travel for the Musician - Toby Chin
5/37
R`jem oicm tf t`l shjemy. Q`le t`l shjemy js pus`lb, t`l cfjhs fe sjbl I cfkprlss iaijest
t`l cfjhs iwiy grfk w`lrl t`l lelray wis gjrst lxlrtlb, fr tfwirbs sjbl O. R`l cfjhs t`le rlture
tf t`ljr frjajeih pfsjtjfe. R`js cfetjeuls tf t`l leb fg t`l shjemy, w`lrl t`l cfjhs kiy stfp. Jg t`l
cfjhs `ivl lefua` mjeltjc lelray, t`ly kiy bfuohl oicm fe t`lkslhvls ieb rlture tfwirb t`l
Sjbl ISjbl O Gjaurl 9
sjbl t`it wis frjajeihhy pus`lb. R`js sjkphl rlprlsletitjfe js i affb rlprlsletitjfe fg sfueb t`it
wlet strija`t jetf i wihh ieb `ib lefua` lelray tf ofuecl fgg t`l wihh ieb `lib oicm tfwirb t`l
sfurcl. Fg cfursl, sfueb js kuc` kfrl cfkphjcitlb t`ie pus`jea i shjemy je t`it jt bfls eft
trivlh je suc` i strija`t hjel. R`l ieihfay fg t`l shjemy, `fwlvlr, js i affb oisjc ueblrstiebjea
fg `fw sfueb wivls trivlh?.
Jg t`l wivls bf eft trivlh je strija`t pit`s, t`le `fw bf t`ly trivlh6 R`jem iofut w`le i
crfwb fg plfphl irl tfalt`lr ieb fel plrsfe js ibbrlssjea t`l arfup. Lvle t`fua` t`l splimlr js
eft bjrlcthy gicjea lic` jebjvjbuih klkolr fg t`l iubjlecl, t`l letjrl arfup cie kfrl fr hlss
`lir w`it t`l splimlr js siyjea. I plrsfe js olttlr iohl tf `lir ieb ueblrstieb t`l splimlr w`le
t`l splimlr js bjrlcthy gicjea `jk. R`lrl irl slvlrih gictfrs it phiy `lrl3. Sfueb sprlibs fut it
C`je 2
?Bfeihb L. @ihh,Kusjcih Icfustjcs> Ie Jetrfbuctjfe (Olhkfet, CI,9:04),
8/7/2019 Waves and Wave Travel for the Musician - Toby Chin
6/37
kuc` arlitlr ieahls t`ie wl kiy frjajeihhy t`jem. Gfr lxikphl, hfubsplimlrs cie ohllb sfueb
futsjbl fg t`ljr splcjgjlb ieahl fg cfvlrial. Kiey hfubsplimlrs t`rfw sfueb it iofut i 74 tftih
cfvlrial irli (34 tf ljt`lr sjblfg t`l cletlr ixjs fg t`l splimlr). Jg sfklfel js sjttjea futsjbl
fg t`l 74 cfvlrial irli, `l wjhh stjhh `lir w`itlvlr js oljea ikphjgjlb, out eft wjt` fptjkih
quihjty fr chirjty. R`lrl irl kiey rlisfes gfr t`js, sfkl fg w`jc` irl cfvlrlb olhfw.
Tjtc` ieb hfubelss `ivl olle tfuc`lb upfe orjlghy out i chfslr jesplctjfe js olelgjcjih.
Gjrst js t`it w`jc` js plrcljvlb is pjtc`. Tjtc` js t`l cfkkfe tlrk gfr kusjcih eftls fr rlhitjvl
`ja`elss fr hfwelss fg i sfueb. Tjtc` js ihsf syefeykfus wjt` t`l kfrl tlc`ejcih tlrk
grlqulecy. Tjtc` js fgtle rlglrrlb tf je tlrks fg trlohl, kjbrieal (kjbs), ieb oiss. Rrlohl js w`it
wl plrcljvl is `ja` pjtc`ls (iofvl i sfprief fr vjfhje). Kjbs irl pjtc`ls oltwlle trlohl ieb
oiss, nust is t`l eikl suaalsts. I plrsfes ivlrial splimjea pjtc` js i hfw-kjb pjtc`. Oiss js t`l
rieal fg hfw pjtc`ls suc` is t`l hfw t`ukp fg i mjcm bruk fr t`l hfw eftls grfk i oiss aujtir
t`it yfu kiy gllh je yfur c`lst.2
Gfr i kfrl sjkphl lxphieitjfe> jkiajel i rfpl, `lhb oy twf plfphl. Fel plrsfe kfvls
t`ljr leb fg t`l rfpl up ieb bfwe je i stliby gis`jfe. Q`it `ipples6 Sjel wivls irl crlitlb
t`rfua`fut t`l hleat` fg t`l rfpl. Efw, jg t`it plrsfe kfvls `js leb fg t`l rfpl gistlr, kfrl
wivls irl crlitlb. Q`it `is nust olle jhhustritlb js t`it t`ly `ivl afel grfk i hfwlr grlqulecy
tf i `ja`lr grlqulecy. Je ft`lr wfrbs> grfk i hfwlr pjtc` tf i `ja`lr pjtc`. Out, t`l hleat` fg t`l
rfpl bjb eft c`ieal. R`js js jkpfrtiet tf rlihjzl olciusl jt js ihsf i blkfestritjfe fg `fw ihh
sfueb trivlhs it t`l sikl spllb
8/7/2019 Waves and Wave Travel for the Musician - Toby Chin
7/37
Ieft`lr wiy fg ueblrstiebjea grlqulecy (pjtc`) js tf ueblrstieb t`l gfhhfwjea gfrkuhi> t
; 9/g w`lrlt js tjkl iebgjs grlqulecy. It gjrst ahiecl, jt kiy ol bjggjcuht tf rlihjzl `fw t`js
gfrkuhi `lhps tfueblrstieb grlqulecy. Is stitlb iofvl, sfueb js klisurlb oy `fw kiey cychls7
fccur je fel slcfeb (`fw kiey wivls irl crlitlb je t`l rfpl), w`jc` t`l 9 je t`l gfrkuhi
rlprlslets (t`l hleat` fg t`l rfpl). R`le, jg yfu mefw ljt`lr t`l grlqulecy fr tjkl jt timls gfr fel
cychl, yfu cie sfhvl gfr t`l uemefwe. Ie lquitjfe rlprlsletjea ? @z js is gfhhfws>
t (slcfebs) ; 9 / ? @z
t ; .< slcfebs
Q`it t`js blkfestritls js t`it lvlry .< slcfebs, t`l wivl rlplits. Efw, timl ieft`lr
hffm, t`js tjkl it 224 @z.
t (slcfebs) ; 9 / 224 @z
t ; 4.44??1?1... slcfebs
Sf, je t`js gjrst lxikjeitjfe fg pjtc` ieb sfueb wivls, wl sll t`it t`l pjtc` rjsls is t`l
grlqulecy fg cychls plr slcfeb ihsf rjsls, t`lrloy iggjrkjea w`it wl mefw tf ol trul.
Cfeslqulethy, is t`l grlqulecy fg t`l wivls blcrlisls, t`l pjtc` afls bfwe.
Is t`l ikphjtubl fg i wivl jecrlisls fr blcrlisls, t`l rlhitjvl hfubelss ihsf jecrlisls fr
blcrlisls, rlsplctjvlhy. Hfubelss js klisurlb je blcjolhs. R`l blcjolh js i hfairjt`kjc guectjfe.
Sf, gfr lvlry rjsl fg tle blcjolhs, t`lrl js i bfuohjea je plrcljvlb hfubelss. R`l t`rls`fhb fg
`lirjea (l.a. i yfuea plrsfe wjt` ef `lirjea hfss) js 4 bO STH. Sf, t`js js t`l hlvlh fg plrcljvlb
iosfhutl sjhlecl1. Ipplebjx I `is i kfrl cfkphltl hjstjea, out `lrl js i orjlg hffm it w`it i
Lxikphl 9>
Lxikphl ?>
C`je 7
7Cychl> Lvlry tjkl t`l sjel wivl rlplits
1Airy Bivjs ieb _ihp` Nfels, Sfueb _ljegfrclklet @ieboffm(Oulei Tirm, CI, 9:0:), ?
8/7/2019 Waves and Wave Travel for the Musician - Toby Chin
8/37
cfuphl blcjolh hlvlhs irl> 14 bO STH js ie ivlrial vfhukl cfevlrsitjfe it t`rll gllt ieb 944 bO
STH wfuhb ol i ais hiwe kfwlr it iofut t`rll gllt iwiy.
R`l Fccupitjfeih @liht` ieb Siglty Ibkjejstritjfe (FS@I) `is sfkl rlqujrlklets
iofut vfhukl hlvlhs t`it irl sigl gfr plfphl tf wfrm fr ol je. Q`it bfls sigl fr uesigl klie
t`fua`6 Q`le prfhfealb efjsl hlvlhs ciusl `lirjea hfss0, t`l levjrfeklet js bllklb uesigl it
sfkl hlvlh. Gfr lxikphl, FS@Is wlosjtl stitls, Lkphfylrs kust prfvjbl `lirjea prftlctfrs tf
ihh wfrmlrs lxpfslb tf ]ie[ 0-`fur ]Rjkl Qlja`tlb Ivlrial[ efjsl hlvlhs fg 0< bO fr iofvl.:
Olciusl i bfuohjea fg t`it vfhukl js :< bO STH, it :< bO STH, t`l efjsl hlvlh js t`le fehy sigl
gfr gfur `furs`ihg t`l tjkl. R`js kit` cfetjeuls tf `fhb trul ieb it 99< bO STH, plrkielet
`lirjea hfss timls phicl je nust i glw kjeutls. S`fuhb t`lsl hlvlhs fr tjkl grikls ol lxcllblb, jt
js t`l hiwguh rlspfesjojhjty fg w`itlvlr fraiejzitjfe js rlspfesjohl gfr t`l lvlet fr wfrm tf
prfvjbl `lirjea prftlctjfe tf w`fklvlr js suonlctlb tf t`lsl hlvlhs, is prlvjfushy stitlb.
\egfrtueitlhy, bul tf i hicm fg ueblrstiebjea iofut efjsl hlvlhs ieb i hicm fg tlst lqujpklet tf
kfejtfr t`lsl hlvlhs, t`lsl hiws irl bjggjcuht gfr fraiejzitjfes tf gfhhfw ieb gfr FS@I tf
legfrcl.
Sf, wl mefw wl ellb tf prftlct fur `lirjea ieb wl mefw w`it hlvlhs irl uesigl, out bO
irl stjhh sfklw`it iostrict is jt rlhitls tf kusjc. Q`it irl sfkl cfkkfe hlvlhs fg jestruklets fr
leslkohls6 Fel kusjc ieb icfustjc let`usjist wrftl iofut ie lxplrjlecl `l `ib it i vjfhje ieb
pjief rlcjtih plrgfrklb oy Zurj C`f ieb Kjc`ilh Rie. @l `ib ie STH kltlr (i klisurlklet
blvjcl tf bltlrkjel hfubelss je bO STH) ieb sit iofut 9< gllt grfk t`l plrgfrklrs je Klrmje
C`je 1
0Rlkpfriry `lirjea hfss usuihhy rlsuhts je plrkielet bikial. Sf tf siy t`it t`l `lirjea hfss wis tlkpfriry kiy oltrul, t`lrl irl ihkfst ihwiys plrkielet rikjgjcitjfes t`it af wjt` tlkpfriry `lirjea hfss.
:Fccupitjfeih Siglty ieb @liht` Ibkjejstritjfe,@lirjea Cfevlrsitjfe(Qis`jeatfe BC> FS@I, ?44?), `ttp>//www.fs`i.afv/Tuohjcitjfes/FS@I3412/fs`i3412.`tkh (icclsslb Kirc` ?9, ?494).
8/7/2019 Waves and Wave Travel for the Musician - Toby Chin
9/37
Cfeclrt @ihh je Elw Zfrm. Burjea t`l gjrst `ihg fg t`l rlcjtih, `l rlcfrblb ie ivlrial fg 14 bO
ieb plims fg 0: bO.94R`fua` t`lsl hlvlhs irl eft istfejs`jea, t`ly irl jecrlbjohl je t`it jt js
fehy i vjfhje ieb i pjief. R`lsl jestruklets irl eft elclssirjhy mefwe gfr oljea lsplcjihhy hfub.
Q`it iofut ie frc`lstri6 @fw hfub cie t`it ol6 Nrale Klylr wrftl ie irtjchl gfr t`l ILS ieb
rlcfrblb hlvlhs gfr jebjvjbuih jestruklets is wlhh is gfr t`l letjrl leslkohl fg 2: phiylrs. R`l
byeikjc rieal fg t`js frc`lstri wis ieyw`lrl grfk 74 bO up tf 990 bO (Gjaurl ?)99. Fg cfursl,
t`l `ja`lr hlvlhs irl eft sustijelb gfr vlry hfea ieb s`fuhb prfoiohy eft ol tlrrjohy wfrrjsfkl.
@fwlvlr, jt js pfssjohl tf `ivl `lirjea bikial grfk frc`lstrih phiyjea fr hjstlejea.
Gjaurl ?
Sfueb js fgtle rlprlsletlb oy i sjel wivl, w`jc` js t`l kfst succject ieb sjkphl
rlprlsletitjfe fg i sfueb wivl. Je Gjaurls 3 ieb 2, t`l x-ixjs rlprlslets tjkl ieb t`l y-ixjs
rlprlslets ikphjtubl (hfubelss). Lvlry tjkl t`l gjaurl rlplits js fel cychl, fr 9 @z. Kfrlfvlr,
t`l eukolr fg rlpltjtjfes plr slcfeb js t`l pjtc`. Sf, je Gjaurl 3, t`l sfueb t`it js rlprlsletlb js
C`je 0
94Ihie Hfggt, R`l Blcjolh (bO) ieb t`l Wjfhje/Tjief _lcjtih, Ixjfk Iubjf, ttp>//gfruk.lcfustjcs.cfk/oos/klssials/32?94-?99.
8/7/2019 Waves and Wave Travel for the Musician - Toby Chin
10/37
9 @z olciusl t`l wivl crfssls t`l x-ixjs fe lvlry kirm t`it js i kuhtjphl fg 9. Jg t`l grlqulecy
wlrl tf bfuohl, jt wfuhb ol ? @z (Gjaurl 2). Jg t`l cychl rlplitlb 224 tjkls plr slcfeb, t`l
sfuebs pjtc` wfuhb ol 224 @z, fr i stiebirb I tf tuel ie frc`lstri. Rf ueblrstieb t`js i hjtthl
lisjlr, t`jem oicm tf t`l rfpl lxikphl.
Gjaurls 3 ieb 2 irl affbwiys tf t`jem
fg ipurl tfel. I purl tfel js fehy fel
grlqulecy, wjt` ef fvlrtfels fr ft`lr
grlqulecjls jkpfslb fe t`l sfueb.
Spllc` ieb ft`lr sfuebs olcfkl kuc`
kfrl cfkphjcitlb kuc` kfrl qujcmhy.
R`js cfkphjcitjfe cie ol ueblrstffb oy
stubyjea fvlrtfels. Olciusl t`js
prlsletitjfe js klie tf fehy prfkpt
curjfsjty ieb prfvjbl i oisjc
ueblrstiebjea, fvlrtfels wjhh eft ol
cfvlrlb je t`js bjscussjfe.
Olgfrl wl cfesjblr t`l elxt giclt fg sfueb wivl trivlh, wl kust ueblrstieb t`l spllb
ieb p`ysjcih sjzl fg sfueb wivls. Sfueb wivls kfvl it 322 kltlrs plr slcfeb9?. R`l lquitjfe
tf gjeb t`l sjzl fg i wivl, fr wivlhleat`, js93>
Qivlhleat` (je kltlrs) ; 322 kltlrs plr slcfeb/ grlqulecy (@lrtz)
Gjaurl 3
P ; Rjkl
Z ; Ikphjtubl
Gjaurl 2
P ; Rjkl
Z ; Ikphjtubl
C`je :
9? Sjecl kfst fg p`ysjcs, scjlecl, ieb leajellrjea usls t`l kltrjc klisurlklet systlk, t`js piplr wjhh ihsf gfhhfwt`it gfrkit gfr lisl fg rlglrlecjea wjt` ft`lr sfurcls.
93Tit Orfwe, Jevlstjaitjea Stiebjea Sfueb Qivls, Sye-Iub-Cfe Rlc` Rfpjc?0, ef. 3 (Sukklr ?444)> 9.
8/7/2019 Waves and Wave Travel for the Musician - Toby Chin
11/37
Je t`l lxikphls olhfw, ie 04 @z wivl js lxikjelb. Gjaurjea fut t`l sjzl fg ie 04 @z
wivl js i rlhitjvlhy lisy prfclss.
!(wivlhleat`) ;322 kltlrs plr slcfeb / 04 cychls plr slcfeb
!; 2.3 kltlrs
Efw, i hffm it t`l pjtc` I (224 @z) t`it ie frc`lstri kiy tuel tf.
!(wivlhleat`) ;322 kltlrs plr slcfeb / 224 cychls plr slcfeb
!; 4.1090 kltlrs
!; 10.90 cletjkltlrs
R`lsl twf wivlhleat` bjstiecls irl lqujvihlet tf 92.940 gllt ieb ?. v?4 ; 322 k/s (9934 gllt plr slcfeb)92w`lrl v js t`l
spllb fg sfueb. R`l civlit js t`it t`js js t`l spllb fg sfueb t`rfua` bry ijr it rffk tlkplriturl,
?4C (70G).
Is wl cie olaje tf sll, t`lrl irl t`rll lhlklets t`it jeghulecl t`l spllb fg sfueb> 9)
kitlrjih (vipfrs, ltc.), ?) `ukjbjty, ieb 3) tlkplriturl. Sfueb trivlhs je bjgglrlet pit`s ieb it
bjgglrlet spllbs w`le fel fg t`lsl virjiohls js c`iealb. Gfr lxikphl, sfueb wjhh trivlh gistlr
t`rfua` `ukjb ijr t`ie t`rfua` bry ijr.9
Lxikphl 2>
C`je 94
92Bfeihb L. @ihh,Kusjcih Icfustjcs> Ie Jetrfbuctjfe (Olhkfet, CI,9:04), 99.
9//www.riel.cfk/pbg/rieleftls/Levjrfkletih%?4Lgglcts%?4fe%?4t`l%?4Spllb%?4fg%?4Sfueb.pbg (icclsslb Gloruiry
8/7/2019 Waves and Wave Travel for the Musician - Toby Chin
12/37
wjt` sfueb js sjkphl> gfr lvlry fel blarll Clhsjus jecrlisl, t`l spllb fg sfueb jecrlisls 4.7
kltlrs plr slcfeb. R`js klies t`it v34wfuhb lquih 3 Ie Jetrfbuctjfe (Olhkfet, CI,9:04), 99.
91Bfeihb L. @ihh,Kusjcih Icfustjcs> Ie Jetrfbuctjfe (Olhkfet, CI,9:04), 9?.
90I slkjtfel js ]t[`l skihhlst jetlrvih je usl je t`l Qlstlre kusjc tribjtjfe. R`lrl irl twlhvl suc` jetlrvihs tf t`lfctivl (_ieblh, 170)
8/7/2019 Waves and Wave Travel for the Musician - Toby Chin
13/37
R`l iosfrptjfe cflggjcjlet (IC) js t`l ikfuet t`it i kitlrjih iosfros sfueb. R`l IC js
eft i plrcletial. Jestlib, jt js i cfkpiritjvl klisurl t`it js eft kliet tf ol cfkphltlhy prlcjsl.
R`l scihl js grfk 4.44 tf 9.44, wjt` 4.44 oljea tftihhy rlghlctjvl ieb 9.44 tftihhy iosfrptjvl,
rlhitjvlhy splimjea (sll Ipplebjx O). Zfu wjhh eftjcl sfkl kitlrjihs `ivl ie IC arlitlr t`ie
9.44. R`js bfls eft klie t`it t`ly irl kfrl t`ie 944% iosfrptjvl. R`js klies t`it i kitlrjih
t`it `is ie iosfrptjfe cflggjcjlet fg 9.4< js kfrl iosfrptjvl t`ie i kitlrjih it 9.4. 9:
R`l IC cie ol vlry cfkphjcitlb ieb cfegusjea. @fw bfls fel mefw `fw tf ritl i
suostiecl fr kitlrjih6 Q`it iofut i rffk kibl up fg i kuhtjtubl fg kitlrjihs6 @fw wfuhb .2 Trictjcih Aujblhjels gfr Cfestructjea Iccuritl Icfustjcih Spicls, Jechubjea Ibvjclfe t`l Trfplr Kitlrjihs tf \sl,(Jebjieipfhjs> Iurihlx Icfustjcs, Jec., ?442)> 9?, `ttp>//www.icfustjcs949.cfk/cfkkfe/icfustjcs949v3V4.pbg (icclsslb Gloruiry 9, ?494).
8/7/2019 Waves and Wave Travel for the Musician - Toby Chin
14/37
tlhh sfklfel t`it iey surgicl t`it js `irb ieb skfft` js kfrl rlghlctjvl t`ie i surgicl t`it js
pibblb je sfkl wiy. Je t`l sikl wiy, plfphl ict is i surgicl, out t`ly irl eft fgtle gictfrlb je.
Tlfphl irl, je gict, sfklw`it iosfrptjvl ieb is i hjvl vleul gjhhs wjt` plfphl, sfueb wjhh
blible.
Is kletjfelb olgfrl, jebffrs vlrsus futbffrs cie kiml i bjgglrlecl. Futbffrs, sfueb
`is vjrtuihhy ef surgicl tf ofuecl fgg fg, out wjeb cie cirry fr bjstfrt sfueb. Jebffrs, sfueb
ofuecls fgg fg ihkfst iey mjeb fg surgicl, out t`l sfueb js eft usuihhy bjstfrtlb oy wjeb.
_lghlctjfe js fel fg t`l ojaalst jeghulecls je jebffr sfueb ieb ihsf fel fg t`l kfst
cfkphjcitlb. Qjt` rlghlctjfe t`lrl irl twf kije virjiohls> rlghlctjfe ieb iosfrptjfe. Ihkfst ef
kitlrjih js guhhy rlghlctjvl ieb fehy slhbfk js i kitlrjih guhhy iosfrptjvl. Out, t`l kfrl rjajb ieb
`irb i surgicl fr kitlrjih js, t`l hlss lelray (sfueb) jt wjhh iosfro.
Kiey plfphl wrfeahy issukl t`it i rlcfrbjea fr orfibcistjea stubjf js tftihhy sfueb
prffg. Je ihh ictuihjty, t`lrl js stjhh sfkl icfustjcih lelray rlghlctlb is eft ihh surgicls cie ol
icfustjcihhy trlitlb, `ukies gfr lxikphl. R`lsl rlghlctjfes irl vlry kjefr cfkpirlb tf t`l
rlghlctjfe kiaejtubl elclssiry gfr rlvlrolritjfe fr ie lc`f tf ol prlslet. Lc`fs irl usuihhy
`lirb ipprfxjkitlhy Ie Jetrfbuctjfe (Olhkfet, CI,9:04), 7?.
8/7/2019 Waves and Wave Travel for the Musician - Toby Chin
15/37
ihwiys wlimlr t`ie t`l frjajeih(s), olciusl pirt fg t`l sfueb lelray js iosfrolb it t`l
rlghlctjea surgicl?9. Rf rljtlritl, t`l wivl kust ol rlghlctlb je jts letjrlty??gfr ie lc`f tf ol
prlslet.
Sfueb ihsf trivlhs oy bjggrictjfe. Bjggrictjfe fccurs w`le sfueb trivlhs irfueb cfrelrs
ieb fonlcts fr t`rfua` fplejeas. Rwf virjiohls fe w`jc` bjggrictjfe blplebs irl t`l sjzl fg t`l
fplejeat`l wivl js kfvjea t`rfua` ieb t`l sjzl fg t`l wivl jtslhg. Jg i hiral wivl?3, siy iofut
04 @z (!; 2.3 k), lecfuetlrs ie fonlct t`it js 94 ck wjbl, t`l wivl wjhh bjggrict irfueb t`l
fonlct ieb prfcllb cfkphltlhy ueigglctlb oy t`l fonlct?2. R`lfonlct bjb eft ict is i sfuebjea
ofirb, rltrieskjttjea t`l icfustjcih lelray fe t`l fppfsjtl sjbl fg t`l fonlct. _it`lr, t`l sfueb
lecfkpisslb t`l letjrl irli irfueb t`l fonlct. Je ft`lr wfrbs, is t`l wivl rlic`lb t`l ft`lr sjbl
fg t`l fostichl, t`l wivl rlic`ls jts guhh sjzl iaije sjecl t`l wivl js hiralr t`ie t`l fonlct jt nust
bjggrictlb irfueb. @fwlvlr, w`le i skihh wivl, siy 9< M@z (!; ?.?: ck), lecfuetlrs t`l sikl
fonlct t`it js 94 ck, t`l sfueb wivl wjhh `ivl i s`ibfw fe ljt`lr sjbl fg t`l fonlct. R`l wivl
js eft hiral lefua` tf bjggrict irfueb t`l fonlct ieb t`l fonlct olcfkls ie fostructjfe ieb
rlghlcts t`l wivl ieb i s`ibfw js gfrklb ol`jeb t`l fonlct? Ie Jetrfbuctjfe (Olhkfet, CI,9:04), 7?.
??Ef bjggusjfe fg t`l wivl w`itsflvlr cie fccur
?3Sll iofvl slctjfe fe sjzl fg wivls gfr i bltijhlb lxphieitjfe
?2Tit Orfwe, Jevlstjaitjea Stiebjea Sfueb Qivls, Sye-Iub-Cfe Rlc` Rfpjc?0, ef. 3 (Sukklr ?444)> 9.
? 9.
?7Bfeihb L. @ihh,Kusjcih Icfustjcs> Ie Jetrfbuctjfe (Olhkfet, CI,9:04), 7
8/7/2019 Waves and Wave Travel for the Musician - Toby Chin
16/37
@lrl irl sfkl rlih hjgl lxikphls. R`jem oicm tf i tjkl w`le yfu `lirb i vlry hfw sfueb,
hjml i bllp offk fg t`ueblr. Cfuhb yfu jbletjgy w`lrl t`l sfueb wis cfkjea grfk6 Efw t`jem
fg i `ja` sfueb, suc` is t`l njeahjea fg mlys. @fw lisy wis jt tf jbletjgy t`l alelrih bjrlctjfe
t`l sfueb wis cfkjea grfk6 Q`le t`l sfueb js hfw lefua`, jt js bjggjcuht tf jbletjgy t`l
bjrlctjfe grfk w`jc` t`l sfueb cikl.
Bjggrictjfe `lhps us jbletjgy t`js p`lefklefe. Eft fehy irl fur lirs kfrl slesjtjvl tf
`ja`lr sfuebs, out t`l wivlhleat` fg t`l hfwlr sfueb js kuc` hiralr t`ie t`l `ukie `lib.
R`lrlgfrl, t`l sfueb js oisjcihhy lquih je oft` lirs. Q`lrlis t`l s`frtlr wivlhleat` fg t`l
`ja`lr pjtc` cieeft bjggrict irfueb oft` sjbls fg t`l `lib ieb js t`lrlgfrl `lirb je fehy fr js
`lirb prlbfkjeiethy je fel lir. R`lrl irl fccisjfes w`le s`frtlr wivlhleat`s irl `lirb je oft`
lirs. R`js js bul tf rlghlctjfes fr t`l ieahl fg t`l `lib je rlglrlecl tf t`l sfurcl fg t`l sfueb.
R`l sfueb js stjhh kuc` kfrl chlir je fel lir, jg t`l sfueb js eft strija`t je grfet fg fr ol`jeb t`l
hjstlelr.
Q`it jkpict bfls bjggrictjfe `ivl fe kusjcjies6 R`l jkphjcitjfes irl bjgglrlet,
blplebjea fe t`l jestruklet. Sjecl t`l sfueb wivls irl skihhlr gfr `ja`lr jestruklets, t`l
wivls wjhh eft bjggrict irfueb klbjuk ieb hiral fonlcts?1. Kusjcjies t`it phiy `ja`lr pjtc`lb
jestruklets (l.a. ghutjsts ieb vjfhjejsts) s`fuhb sllm tf sleb t`ljr sfueb fvlr ieb iofvl iey
fostichl. Fel fostichl t`it ghutl phiylrs gicl js t`l strjea slctjfes t`it sjt je grfet fg t`lk je ie
frc`lstri. R`js js w`y je i oieb fr wjeb leslkohl ghutls irl slitlb tfwirb t`l grfet fg t`l
leslkohl. R`l upplr strjea kusjcjies?0s`fuhb ihsf sllm tf sleb t`ljr sfueb fvlr t`ljr fwe
ofbjls ieb slctjfes ieb tfwirb t`l iubjlecl. Wjfhjsts fgtle struaahl wjt` t`js bul tf t`l typjcih
C`je 9 ijr ieb witlr. Je t`l ijr, t`l blesjty fg
witlr js vlry t`je ieb t`l kfhlcuhir kiml up js kuc`
hja`tlr t`ie witlr. Je t`l ahiss, t`l witlr js fovjfushy
vlry iouebiet ieb rlhitjvlhy blesl. R`l bjgglrlecl je
kitlrjihs ciusls t`l striw tf ipplir olet fr orfmle
olciusl t`l spllb fg hja`t c`ieals is jt pissls t`rfua`
t`l bjgglrlet klbjuks.
R`it olas t`l qulstjfe, `fw bfls sfueb oleb t`le6
Sfueb olebs je kuc` t`l sikl wiy. Sfkl cfetrjoutfry jeghulecls je t`l olebjea fg sfueb
wivls jechubl> bjgglrlet bjgglrlet blesjtjls fg witlr vipfr?:, i c`ieal je suostiecls t`rfua`
w`jc` t`l sfueb js trivlhjea, ieb tlkplriturl bjgglrlecls. R`jem iaije fg t`l shjemy. Jg yfu oleb
jt, t`l cfkprlssjfe fg t`l cfjhs wjhh stjhh trivlh grfk fel leb tf t`l ft`lr. R`l sikl t`jea `ipples
wjt` sfueb (ieb wivls je alelrih) je t`l itkfsp`lrl. Q`le t`l ijr chfslr tf t`l arfueb js cfhblr
t`ie t`l ijr iofvl jt, wivls wjhh ol bjrlctlb oicm tfwirb t`l arfueb. R`js klies w`le t`l
arfueb js cfhblr, jt js lisjlr tf `lir sfuebs grfk gir iwiy olciusl t`l sfueb js olet oicm tfwirb
t`l lirt`. Hjmlwjsl, t`l fppfsjtl js trul. Jg t`l ijr elir t`l arfueb js wirklr, jt wjhh ol `irblr tf
`lir sfuebs grfk gir iwiy olciusl hlss sfueb wjhh ol olet oicm tfwirb t`l lirt`34. Ie
jetlrlstjea lxikphl fg t`js, t`jem fg i rfib trjp. Jg yfu brjvl tf i cjty fe i chlir, kjhb biy, yfu
cie pjcm up ie GK ribjf stitjfe t`it js 944 kjhls iwiy. R`js js prfoiohy olciusl t`l ijr elirlr
Gjaurl 1> Eftl `fw t`l striw
hffms hjml twf slpiritl striws bultf rlgrictjfe.
C`je 90
?:@ukjbjty
34Bfeihb L. @ihh,Kusjcih Icfustjcs> Ie Jetrfbuctjfe (Olhkfet, CI,9:04), 73-72.
8/7/2019 Waves and Wave Travel for the Musician - Toby Chin
20/37
t`l arfueb js t`l sikl tlkplriturl fr cfhblr t`ie t`l ijr slvlrih `uebrlb fr t`fusieb gllt iofvl
t`l arfueb. @fwlvlr, jg t`lrl js i subble rjsl je tlkplriturl fe t`l arfueb fr i subble brfp je
tlkplriturl iofvl t`l arfueb, t`l ribjf stitjfe yfu `ib olle lenfyjea wfuhb ef hfealr ol
icclssjohl.
Q`it irl t`l kusjcih jkphjcitjfes fg t`js6 R`l prictjcih ipphjcitjfe je kusjcih
plrgfrkiecls js slhbfk rlihjzlb. _lgrictjfe js eft ie jecrlbjohy jeghuletjih gictfr je jebffr
sjtuitjfes. @fwlvlr, jt kiy ol eftjclb je sfkl vlry hiral cfeclrt `ihhs fr irleis. Q`le t`l ijr js
wirklrfe t`l ghffr, sfueb wjhh rlgrict tfwirbs t`l upplr slits. R`js cfuhb ol i blsjrlb lgglct tf
utjhjzl i gfrcl fg eiturl gfr eiturih sfueb rljegfrclklet. Jg t`l tlkplriturl js cfesjstlet
t`rfua`fut t`l vleul, t`l sfueb cie ol cfetrfhhlb kuc` kfrl lisjhy wjt` icfustjcih trlitklet fr
wjt` i sfueb systlk. R`js js i plrglct cisl gfr i affb @WIC systlk. Ie lggjcjlet, pfwlrguh,
qujlt ijr `iebhjea systlk js mly tf mllpjea t`l kusjc `lirb chlirhy je ihh slits.
Fel virjiohl t`it rlgrictjfe cfuets fe js ef wjeb fr ijr currlet je t`l plrgfrkiecl vleul.
Jg t`lrl js ie iaarlssjvl vletjhitjfe systlk39
jestihhlb je t`l vleul, t`js wjhh arlithy jeghulecl t`l
sfueb3?. Jg yfu `ivl olle it i cfeclrt `lhb futsjbl, yfu kiy `ivl eftjclb t`it w`le t`l wjeb
wis cihk t`l sfurcl wis lisy tf `lirieb ueblrstieb jg jt wis spfmle wfrb. Out, jg i crfsswjeb
pjcmlb up, jt olcikl bjggjcuht tf `lir w`itlvlr t`l sfurcl wis> w`lt`lr jt ol prfnlctlb sfueb
grfk i hfubsplimlr, i plrsfe splimjea, i kusjcih jestruklet, lt cltlri. R`l sikl cie fccur it i
cfeclrt `lhb jesjbl. R`l lgglct wjhh eft ol is lxtrlkl, w`lrl jt olcfkls bjggjcuht tf ueblrstieb i
plrsfe fr `lir ie jestruklet, out t`l sfueb js jeghuleclb oy ijr currlets. Blplebjea fe w`jc`
C`je 9:
39R`js wfuhb ol ie @WIC systlk je w`jc` yfu cie ictuihhy gllh i orllzl.
3?Lrjc R. Skjt`,Icfustjcs 949> Trictjcih Aujblhjels gfr Cfestructjea Iccuritl Icfustjcih Spicls, Jechubjea Ibvjclfe t`l Trfplr Kitlrjihs tf \sl,(Jebjieipfhjs> Iurihlx Icfustjcs, Jec., ?442)> 33, `ttp>//www.icfustjcs949.cfk/cfkkfe/icfustjcs949v3V4.pbg (icclsslb Gloruiry 9, ?494).
8/7/2019 Waves and Wave Travel for the Musician - Toby Chin
21/37
wiy t`l ijr js oljea gfrclb, sfueb wjhh c`ieal jts bjrlctjfe grfk w`le jt hlivls t`l sfurcl fg t`l
sfueb ieb w`le t`l sfueb rlic`ls t`l lirs fg t`l iubjlecl.
R`lrlgfrl, t`js klies t`it ihh kusjcjies, blspjtl oljea tfhb tf usl t`ljr lyls, eft t`ljr
lirs kust timl t`js siyjea wjt` t`l cfrrlct ueblrstiebjea. Blplebjea fe t`l frc`lstri, i
cfebuctfr kiy stfp t`l leslkohl tf siy, _lihhy hjstle tf t`js c`frb, kiml surl t`it t`l C js i
plrglct gjgt` iofut t`l G. R`l cfebuctfr kiy stfp i cfuphl kjeutls hitlr ieb siy, Zfu cieeft
rlhy fe yfur lirs. Zfu `ivl tf witc`! It gjrst, wjt`fut t`l cfrrlct grikl fg rlglrlecl, jt ipplirs
is t`fua` t`ljr olhfvlb cfebuctfr `is hfst `js kjeb. Q`it `l rlihhy klies tf siy js t`it
kusjcjies kust usl t`ljr lirs tf stiy je tuel wjt` fel ieft`lr, ylt usl t`ljr lyls tf stiy je tlkpf.
R`js buihjty cie ol i bjggjcuht tf kistlr ieb js ylt ieft`lr ivleul gfr kusjcjies tf bjvjbl t`ljr
ittletjfe. Elvlrt`lhlss, jt js vjtih tf t`l kusjcih jetlarjty fg t`l leslkohl.
R`l kusjcih jetlarjty fg t`l leslkohl fr iey plrgfrkiecl js utkfst ieb gfrlgrfet. Jt js
olciusl fg t`js t`it kusjcjies s`fuhb ueblrstieb `fw sfueb wivls trivlh. _lgrictjfe `lhps
lxphije `fw sfueb cie oleb bul tf itkfsp`lrjcs suc` is `ukjbjty ieb tlkplriturl. Bjggrictjfe
`lhps lxphije `fw jt js kuc` lisjlr tf tlhh w`lrl i sfprief js fe stial t`ie w`lrl i oiss phiylr js
phiyjea grfk. _lghlctjfes ieb iosfrptjfes irl iosfhutlhy mly tf i kusjcjies ueblrstiebjea fg
`fw tf prlbjct w`it i vleul wjhh sfueb hjml. Hjmlwjsl, plrgfrklrs s`fuhb ueblrstieb t`it is t`l
`ihh gjhhs wjt` plfphl, t`l sfueb wjhh c`ieal bristjcihhy ieb ol hlss rlghlctjvl. Ihsf, is t`l `ihh
gjhhs wjt` plfphl, t`l tlkplriturl wjhh prfoiohy rjsl ieb `ukjbjty kiy c`ieal, w`jc` ihsf igglcts
t`l sfueb fg t`l plrgfrkiecl ieb vleul. \eblrstiebjea w`it sfueb js, `fw jt wfrms, ieb slljea
lvle nust i skihh ikfuet fg `fw jt ipphjls tf kusjcjies, cie hlib tf jkprfvlb sfueb fg i
C`je ?4
8/7/2019 Waves and Wave Travel for the Musician - Toby Chin
22/37
plrgfrkiecl. R`l jkprfvlb sfueb `lja`tles t`l lenfyklet fg t`l kusjc tf i w`fhl elw hlvlh gfr
oft` kusjcjie ieb iubjlecl klkolr.
C`je ?9
8/7/2019 Waves and Wave Travel for the Musician - Toby Chin
23/37
Ipplebjx I
Sfueb LevjrfekletSfueb Trlssurl
HlvlhIpprfxjkitl
Hfubelss
R`lrs`fhb fg lirjea 4 bOI STH Bfet @lir ieyt`jea
Orfibcist Stubjf 94 9/3? fg cfevlrsitjfe
Yujlt fusl, rurih eja`t ?4 9/97t` is hfub
Yujlt fgcl jetlrjfr 34 9/0t` is hfub
Yujlt rurih irli/skihht`litrl
24 9/2t` is hfub
Bjs`wis`lr je ft`lr rffk
8/7/2019 Waves and Wave Travel for the Musician - Toby Chin
24/37
KGA Blscrjptjfe R`jcmelss Kfuetjea \ejt Sjzl 9?
8/7/2019 Waves and Wave Travel for the Musician - Toby Chin
25/37
OribJes Ahisswffh oujhbjea ohiemlt wjt` plrgfritlb gfjh gicjea (944) I 9?4ck x 9
8/7/2019 Waves and Wave Travel for the Musician - Toby Chin
26/37
CRllb JO?
8/7/2019 Waves and Wave Travel for the Musician - Toby Chin
27/37
Brupi Sjhlecjf Tlrgfritlb stllh pielh wjt` icfustjc rlsfeitfrs 3.44 \EL 12429 :4 x :4 4.4< 4.9< 4.2< 4.:4 4.:4 4.1 :7", kix hleat` 9.
8/7/2019 Waves and Wave Travel for the Musician - Toby Chin
29/37
Meiug Rypl ME Gjolrahiss buct, wrip 9.
8/7/2019 Waves and Wave Travel for the Musician - Toby Chin
30/37
KvH Kjcrfhjtl Gjolrahiss ohiemlt ?.44 I rfhh 4.?3 4.7< 4.:4 4.:0 4.:0 9.49
KvH Kjcrfhjtl Gjolrahiss ohiemlt 9.44 I rfhh 4.40 4.32 4.
8/7/2019 Waves and Wave Travel for the Musician - Toby Chin
31/37
FC Ilrflx Thus Gjolrahis buct hjelr wjt` surgicl cfitjea 9.44 I rfhhs 4.41 4.?< 4.
8/7/2019 Waves and Wave Travel for the Musician - Toby Chin
32/37
Tllr Ihkutl Sikl is iofvl out oicmlb wjt` ?" olrahiss ?.9 L-244 ?2 x 20 4.11 9.43 4.:3 9.41 9.43 9.41
Tllr Ihkutl Sikl is iofvl out ?" olrahiss spiclb .?
8/7/2019 Waves and Wave Travel for the Musician - Toby Chin
33/37
Sfelx 9 Oi!ls ?-sjblb wlbal-s`iplb klhikjel gfik, ieajea pielhs 3.44 `uea ?2 x 20 4.12 4.10 9.2? 9.17 9.03 9.02
Sfelx 9 @ypihfe Qlbal-s`iplb klhikjel gfik pielhs ?.44 I ?2 x 20 4.90 4.7< 9.42 4.13 4.70 4.
8/7/2019 Waves and Wave Travel for the Musician - Toby Chin
34/37
Rlctuk pielh Sjhjcitl-trlitlb wffb olr, fraiejc ojeblr 9.
8/7/2019 Waves and Wave Travel for the Musician - Toby Chin
35/37
\SA Frjfe Cljhjea pielh wjt` hikjeitlb tlxturlb surgicl 4.
8/7/2019 Waves and Wave Travel for the Musician - Toby Chin
36/37
Sfelx, ?" 4.40 4.?< 4.79 4.:? 4.:< 4.:?
Sfelx, 3" 4.92 4.23 4.:0 9.43 9.44 9.44
Sfelx, 2" 4.?4 4.14 9.47 9.49 9.49 9.44
SfuebRlx 4.92 4.3< 4.
8/7/2019 Waves and Wave Travel for the Musician - Toby Chin
37/37
Of`e, Bleejs. Levjrfekletih Lgglcts fe t`l Spllb fg Sfueb.Nfureih fg t`l Iubjf
Leajellrjea Sfcjlty 37, vfh. 2 (9:00), `ttp>//www.riel.cfk/pbg/rieleftls/Levjrfkletih
%?4Lgglcts%?4fe%?4t`l%?4Spllb%?4fg%?4Sfueb.pbg (icclsslb Gloruiry 9-7.
Bivjs, Airy ieb _ihp` Nfels. Sfueb _ljegfrclklet @ieboffm. Oulei Tirm, CI, 9:0:.
@ihh, Bfeihb L.Kusjcih Icfustjcs> Ie Jetrfbuctjfe. Olhkfet, CI,9:04.
Hfggt, Ihie. R`l Blcjolh (bO) ieb t`l Wjfhje/Tjief _lcjtih, Ixjfk Iubjf, `ttp>//
gfruk.lcfustjcs.cfk/oos/klssials/32 FS@I,
?44?), `ttp>//www.fs`i.afv/Tuohjcitjfes/FS@I3412/fs`i3412.`tkh (icclsslb Kirc`
?9, ?494).
Skjt`, Lrjc R.Icfustjcs 949> Trictjcih Aujblhjels gfr Cfestructjea Iccuritl Icfustjcih Spicls,
Jechubjea Ibvjcl fe t`l Trfplr Kitlrjihs tf \sl. Jebjieipfhjs> Iurihlx Icfustjcs, Jec.,
?442, `ttp>//www.icfustjcs949.cfk/cfkkfe/icfustjcs949v3V4.pbg (icclsslb Gloruiry
9, ?494).
C`je 37