Ill 
1897-98.] Dr Lloyd on Analysis of Tracings of Vowels. 
The last column shows the ratio between the resonances. I call 
it the radical ratio, because it seems to me that the distinction 
between one vowel and another must be chiefly based upon the 
ratio subsisting in each vowel between its several resonances. This 
conclusion, at first (1890) deduced a 'priori from observation of the 
shape of articulations, has derived further support from every set 
of Fourierian analyses yet published. Hence my interest in the 
latter subject. 
How, let us tabulate the other ten in the same way. First, the 
data of amplitudes of partials : — 
Dr Boeke’s spoken aa. 
y.d. 
1 
2 
3 
4 
5 
6 
7 
8 
9 
10 
11 
12 
175, 
1 
1*31 
1*30 
4*19 
8*09 
3*73 
4*40 
4*50 
0*30 
1*74 
0*72 
1*21 
382, 
1 
0*85 
0*26 
0*69 
2*59 
1*87 
1*26 
1*34 
1*08 
0*76 
0*13 
0*11 
184, 
1 
0*81 
0*73 
0*77 
2-01 
0*71 
1*45 
0*58 
0*61 
0*06 
0*43 
0*21 
190, 
1 
0*52 
1*57 
0*91 
4*97 
2*00 
1*63 
1*21 
1*36 
0*28 
0*40 
0*60 
177-5, 
1 
1*11 
1-42 
1*03 
2*08 
1*69 
0*80 
0*55 
0*03 
0*14 
0*10 
0*13 
190, 
1 
1*02 
1*19 
0*83 
3*34 
1*35 
1*53 
0 28 
0*40 
0-60 
0*32 
0*44 
207*5, 
1 
1-45 
1*91 
1*44 
7*48 
2*44 
3*86 
0*92 
0*86 
0*50 
0*93 
0*75 
214*5, 
1 
4*40 
8-00 
36*60 
32*10 
23*40 
11*80 
5 30 
6*80 
5*60 
3*60 
5*40 
184, 
1 
0*93 
0*37 
0-92 
4*70 
1*63 
1*28 
2*95 
1*18 
1*31 
0*32 
0*29 
195, 
1 
0*56 
I’ll 
2*22 
2 25 
0*70 
1*74 
1*40 
0*40 
0*16 
0*13 
0*55 
Hext the evaluation of the two resonances : — 
a- and /3-Besonances of Dr Boeke’s spoken aa. 
y.d. 
Partials Reinforced. 
Mean Resonances. 
Radical 
Ratio. 
a 
j8 
a 
175, 
4-6 
7-9 
879 
1321 
1*503 
182, 
4-6 
7-10 
960 
1523 
1*587 
184, 
3-6 
6-9 
873 
1361 
1*559 
190, 
4-7 
8-10 
1050 
1652 
1*573 
177*5, . 
4-8 
9-11 
1022 
1824 
1*785 
190, 
4-7 
8-11 
1062 
1834 
1-726 
207*5, 
4-6 
6-10 
1063 
1512 
1-422 
214*5, 
4-7 
8-11 
1169 
2018 
1*727 
184, 
4-6 
7-9 
944 
1474 
1*561 
195, 
3-6 
6-9 
877 
1440 
1-641 
