Theories of Vowel Systems: Quantal Theory and Adaptive Dispersion
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1 L105/205 Phontcs Scrborough Hndout 8 10/25/05 Rdng: Stvns, Lljncrnts & Lndblom (tody) Thors of Vowl Systms: Quntl Thory nd Adptv Dsprson 1. Thr r hug (vn nfnt) numbr of dffrnt rtcultons tht cn b md. Obvously, thy r not ll usd n ny lngug. But vn cross lngugs, crtn spch sounds r vry common, whl othrs r qut rr. Both Quntl Thory nd th Thory of Adptv Dsprson sk to xpln why crtn sounds nd crtn systms of sounds r fvord cross-lngustclly. Quntl Thory (Stvns 1972, 1989) 2. Th coustc thory of spch producton xplns th rlton btwn vocl trct confgurtons nd coustc output. In gnrl, whn you chng th confgurton of th vocl trct, you chng th coustc output. Howvr, th rlton btwn rtcultory prmtrs nd coustc output s not lnr. Thr s lrg coustc (nd udtory) dffrnc btwn rgons I nd III. Wthn rgons I nd III, howvr, th coustc prmtr s rltvly nsnstv to chng n th rtcultory prmtr. In othr words, chngs n rtculton don t hv much ffct on th spch output. 3. Stvns clm s tht lngustc contrsts nvolv dffrncs btwn quntl rgons (I nd III). All quntl rgons dfn contrstv sounds nd ll contrstv sounds dffr quntlly. Or t lst, quntl dstnctons r prfrrd. 4. Why do quntl rgons nflunc sound systms? Artcultons don t hv to b prcs to produc crtn output. And contnuous movmnt through th rgon wll yld n coustc stdy stt. Artcultory sloppnss won t ffct prcptblty.
2 Furthrmor, rtcultory spc s ncssrly contnuous, but dffrnt rtcultons cn produc qulttvly dffrnt coustc ffcts. Th pltu-lk rgons r th corrlts of dstnctv fturs. 5. Exmpls of quntl ctgors ovr n rtcultory contnuum: Dgr of glottl constrcton: complt opnng for voclss sounds to lss opnng for modl vocng to complt closur for glottl stop Dgr of vocl trct constrcton: vowl (low V md V hgh V) to glds to frctvs to stops Plc of rtculton for vowls (.., plc of constrcton) 6. Quntl thory ppld to vowls: Rcll tht nomogrms show us th coustc consquncs (n trms of formnt frquncs) of vryng sngl rtcultory prmtr (plc of constrcton). Thr r rgons of coustc stblty (quntl rgons) whr two formnts convrg. [] [] [u] [] s producd t th convrgnc of F1 nd F2, whr th front nd bck cvts of th vocl trct r of pproxmtly qul lngths.
3 [] s producd t th convrgnc of F2 nd F3, crtd by constrcton n th pltl rgon. (Rmmbr, F1 rsults from th Hlmholz rsontor.) [u] s producd t brod F2 mnmum, whr F2 s nr stbl F1. Ths thr vowls r quntl vowls. Thus, thy should b hghly prfrrd crosslngustclly, nd n fct thy r. 7. Th upshot of Quntl Thory s ths: Spkrs cn gt wy wth rtcultory sloppnss f lngugs mk us of quntl phontc ctgors. Nr-contnuous rtcultons yld dscrt coustc (prcptul) ctgors. Sgmnts tht xplot quntl rgons (rgons of stblty) wll b common cross lngugs. (Sgmnts tht dpnd of dstnctons wthn quntl rgon wll b rr.) Howvr, thr r sgnfcnt crtcsms of Quntl Thory. It prdcts grtr smlrty n coustc dtl cross lngugs thn s obsrvd. It dosn t prdct th rng of contrsts tht r ttstd cross-lngustclly. It dosn t ccount for dstnctons tht rly on multpl rtcultory prmtrs ( rgon of stblty for on my b unstbl for nothr). It s not ctully clr tht llowng for rtcultory sloppnss s so ncssry. A postultd dvntg of sounds whos coustcs r rltvly nsnstv to rtcultory vrton s tht ths llows mprcson n rtculton wthout dsstrous coustc consquncs. But lngugs do not sm to tk consstnt dvntg of ths. Thory of Adptv Dsprson (Lljncrnts & Lndblom 1972, Lndblom 1986, 1990) 8. Th thory of Adptv Dsprson offrs n ltrntv xplnton for th cross-lngustc prfrnc for th vowls [,, u]. Ths vowls r not only n potntlly stbl rtcultory rgons, but thy r t th xtrms of th physologclly possbl vowl spc. So thy r mxmlly coustclly dstnct nd r unlkly to b confusd by lstnr. Assumpton: Lstnrs blts to hr vowl dstnctons provd slctonl prssur on sgmnt nvntors (dchronclly). Th prspctv s shftd from xplorng prfrrd/dsprfrrd sounds to prfrrd/dsprfrrd systms of contrsts..g., crtn vowl nvntors r common: u u othrs r unttstd: (dptd from Flmmng nots) o ε u o u y u ø ə o ε œ æ
4 9. Th Thory of Adptv Dsprson posts tht th sounds n gvn lngug r slctd to bst stsfy functonl rqurmnt of mxml (or, n ltr vrsons, suffcnt) prcptul dstnctvnss. In prtculr, Adptv Dsprson dscrbs how th rqurmnt of prcptul contrst prdcts vowl nvntors. 10. In ordr to b tstbl, th Thory of Adptv Dsprson hs to quntfy th noton of contrst. A vowl spc s th coustc/udtory rng of vowls tht r rtcultorly possbl. L&L look t Ml-scld F1 by F2 vowl spc. Th ml scl s trnsformton of Hz frquncy bsd on udtory prcpton. So ths vowl spc s clos to n udtory spc. Prcptul contrst btwn two vowls s msurd s th lnr dstnc btwn thm n ml. To mxmz dstnctvnss, th rpulson btwn thm n mnmzd. For th vowl systm s whol, th rpulson for ll th prs of vowls s smultnously mnmzd. 11. Optml vowl nvntors of vrous szs r prdctd: (from Lljncrnts & Lndblom, 1972)
5 12. Essntlly corrct pttrns r prdctd for 3 to 6 vowl systms. For lrgr systms (7 +), vrous rrors occur (ncludng th prdcton of too mny hgh cntrl vowls), though gnrlly not mor thn on pr systm, ccordng to L&L. Prcptul dstnctvnss (contrst) plys n mportnt, but not xclusv, rol s dtrmnnt of th structur of vowl systms. Howvr, thr r wknsss of Adptv Dsprson Thory sd from crtn spcfc ncorrct prdctons. It dosn t ddrss th ssu of why lngugs hv nvntors of vrous sz nvntors, or why thy would hv lrg nvntors. It dosn t xpln why thr s cross-lngug vrton n th dstrbuton of th sm numbr of vowls (mnng som lngugs must hv sub-optml nvntors). And t dosn t consdr ny ssus rltd to rtculton (s of rtculton, tc). 13. Lndblom lso dscusss th rlvnc of phontcs to th study of lngug, wth rspct to thory lk hs (nd, lthough h dosn t sy so, lk Quntl Thory s wll). Bfor L&L nd Stvns, phontcs hd mnly plyd th rol of ntrprtng lngustc form nto rlzbl physcl output. It s focus ws spch, rthr thn lngug. But Adptv Dsprson Thory (lk QT) sks to drv lngustc form s consqunc of th vrous mchnsms of spch communcton. Quntttv modls show how ths mchnsms ffct hghr-lvl lngustc nd communctv structur.
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