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. Author manuscript; available in PMC: 2016 Feb 5.
Published in final edited form as: Speech Commun. 2015;76:93–111. doi: 10.1016/j.specom.2015.11.001

Table A.1.

Neutral diameter function, Ω(i), and two modes, ϕ1(i) and ϕ2(i), used to generate vocal tract area functions with Eq. (1). The index i represents consecutive sections of an area function ordered from glottis to lips. The length of each section is ΔL = 0.2386 cm.

i Ω(i) ϕ1(i) ϕ2(i)
1 0.353 0.000 −0.004
2 0.353 0.000 −0.003
3 0.382 −0.000 −0.005
4 0.479 −0.001 −0.009
5 0.634 −0.002 −0.018
6 0.810 −0.005 −0.033
7 0.976 −0.010 −0.052
8 1.115 −0.018 −0.068
9 1.224 −0.026 −0.072
10 1.300 −0.035 −0.070
11 1.342 −0.044 −0.062
12 1.363 −0.055 −0.049
13 1.376 −0.065 −0.033
14 1.387 −0.075 −0.015
15 1.394 −0.082 0.002
16 1.395 −0.089 0.019
17 1.390 −0.095 0.036
18 1.378 −0.100 0.051
19 1.359 −0.103 0.065
20 1.333 −0.105 0.077
21 1.303 −0.104 0.085
22 1.272 −0.096 0.086
23 1.243 −0.081 0.079
24 1.221 −0.059 0.063
25 1.212 −0.029 0.039
26 1.223 0.008 0.006
27 1.257 0.053 −0.036
28 1.306 0.101 −0.083
29 1.351 0.146 −0.120
30 1.392 0.187 −0.147
31 1.428 0.223 −0.164
32 1.462 0.252 −0.170
33 1.491 0.274 −0.166
34 1.515 0.288 −0.149
35 1.533 0.295 −0.121
36 1.546 0.294 −0.081
37 1.554 0.287 −0.029
38 1.556 0.274 0.034
39 1.550 0.256 0.107
40 1.535 0.233 0.189
41 1.509 0.205 0.279
42 1.467 0.173 0.376
43 1.439 0.141 0.459
44 1.414 0.115 0.531