Bauhaus-Universität Weimar

Titel:
Experimental Psychology: A Manual of Laboratory Practice, Vol. II: Quantitative Experiments, part 2: Instructor's Manual
Person:
Titchener, Edward B.
PURL:
https://digitalesammlungen.uni-weimar.de/viewer/image/lit11940/425/
248 
The Metric Methods 
The y. N. D. of Tonal Distance : (b) Simultaneous Tones.—Delezenne 
found that the j. n. d. for intervals (8,5, major 3, major 6) simultaneously 
sounded was without exception greater than that for the same intervals 
sounded successively : Stumpf, Z., xviii., 374. 
Cornu and Mercadier (1869) give as average ratio for the major third 
i.251 (physical ratio, 1.250), for the fifth 1.499 (physical 1.500). The 
result is inexplicable: Stumpf, 375. In 1873 they give, similarly, for the 
minor third the average ratio 1.200, which is identical with the physical. 
Stumpf and Meyer find that the j. n. d. of the simultaneous octave and 
major third is considerably greater than that of the successive. In the 
case of the fifth, the difference points in the same direction, but is ex¬ 
tremely slight (366 f.). As regards the order of intervals, the fifth stands 
slightly in advance of the other two (372). 
Cf. 383 (ref. to Faist) ; 399 (explanation of increase of limen) ; 400 (use of 
simultaneous fifths in tuning) ; 360 (Table for fork tones). 
§ 31- The Method of Constant Stimuli (Method of Right and 
Wrong Cases): Notes on § 20 of the Text.—The general exposi¬ 
tion of the method and the derivation of the formulae are modelled 
upon Midler’s treatment: Pfliiger’s Arch., xix.,1 1879, 191 ff. ; 
M., 12 ff., 35 ff. The formula for the first procedure was sug¬ 
gested by Wundt : see Angell, P. S., vii., 1892, 464. Fechner’s 
Fundamental Table may be found in El., i., 108; R., 66; Wundt, 
P. P., e.g., i., 1902, 484; Sanford, Course, 351; Scripture, New 
Psychology, 490. The following additional Tables are given by 
Fechner (El., i., no; R., 66 f.) : 
FECHNER’S FUNDAMENTAL TABLE, CONTINUED: I. 
n 
t 
n 
t 
n 
t 
0 
0 
to 
00 
o' 
0.6747 
0.S800 
0.8308 
0.9300 
I-0436 
0.8325 
0.6817 
O.S825 
0.8397 
0-9325 
i .0569 
0 
>0 
to 
CO 
d 
0.6888 
O 
LO 
CO 
CO 
d 
0.8488 
0-935° 
1.0706 
0-8375 
0.6960 
0.8875 
0.8580 
0-9375 
1.0S48 
0.8400 
0.7032 
0.8900 
0.8673 
0.9400 
1.0994 
0.8425 
0.7105 
0.8925 
0.8768 
0.9425 
1.1145 
0.8450 
0.7179 
0.8950 
0.8864 
0.9450 
I-I3°I 
0.8475 
07253 
0-897 5 
0.8962 
0.9475 
1.1463 
0.8500 
0.7329 
0.9000 
0.9062 
0.9500 
1.1631 
0.8525 
0.7405 
0.9025 
0.9164 
0.9525 
1.1806 
p 
CO 
Ln 
Ln 
O 
0.7482 
0.9050 
0.9267 
0.9550 
1.1988 
0-8575 
0.7560 
0.9075 
°-9373 
0-9575 
1-2179 
1 Wrongly cited as xi. in Müller, G., viii.
        

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