Sixteen Experimental Investigations from the Harvard Psychological Laboratory, Hugo Münsterberg [top fiction books of all time TXT] 📗
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of what is necessary to, or inconsistent with, its structure; so that
the slightest deviation from its form is remarked and the whole
sequence accurately reproduced.
In order to isolate and exhibit the tendency toward rhythmization in
regularly repeated motor reactions, one should examine series of
similar movements made at different rates both as an accompaniment to
a recurrent auditory stimulus and as free expressions of the motor
impulse independent of such objective control. In the former of these
cases the series of stimuli should be undifferentiated in quality as
well as uniform in time. The rhythm which appears in such a case will
contradict the phases of an objective series which prescribes its
form, and the evidence of its existence, presented under such adverse
conditions, should be indubitable.
As preliminary to their special work the members of the experimental
group were tested in regard to the promptness and regularity of their
reactions (by finger flexion) in accompanying a periodically recurrent
stimulus given by the beating of a metronome; records were taken also
of their capacity to estimate and maintain constant time relations by
freely tapping at intervals of one, two and five seconds. Of the
latter type of reaction the records show that a temporal grouping of
the reactions is presented in every rate of tapping. This, owing to
the large absolute intervals, is uniformly in groups of two, the first
member of which is of shorter, the second of longer duration. There is
likewise an intensive differentiation of the alternate reactions. Thus
a double rhythmical treatment appears, but while with intervals of two
seconds the phases of temporal and intensive rhythm coincide, at rates
of one and five seconds they are opposed, that is, the accentuation
falls on the initial reaction which is followed by the shorter
interval. This doubtlessly marks the emergence of that tendency to
initial accentuation which was subsequently found to prevail in all
expression of rhythm.
The types of reaction which these records afford leave no doubt that a
fuller investigation of the matter would show the constant presence,
in all such forms of activity, of a rhythmical automatization of the
series. The special problems which such an investigation should first
resolve, relate to the dependence of the amount of rhythmical
differentiation on the rate of succession among the reactions; the
relation of the form of this reaction series to factors of attention
and control; and the significance, in connection with the process of
rhythmization, of auditory stimuli produced by and accompanying the
reaction series, that is, the comparison of soundless and sounded
reactions.
In the second set of experiments the reactor was directed simply to
accompany the beating of a metronome by a light tapping with the
forefinger on a rubber-surfaced tambour connected with a pneumographic
registering pen, with which was aligned an electrical time-marker also
actuated by the metronome. Three rates of tapping were adopted, 60, 90
and 120 beats per minute. No specific instructions were given as to
direction or keenness of attention on the part of the reactor; the
most natural and simple accompaniment was desired. Occasionally, for
comparison, the reactor was directed to attend closely to each
successive beat as it occurred.
Certain questions as to the applicability of the material here
interpreted to the point in question, and as to its relation to the
objective conditions of experimentation, must be met at the outset.
The first of these is as to the actual uniformity of the metronome
series. Objective determination of its temporal regularity is
unnecessary (in so far as such a determination looks toward an
explanation of the form of tapping by reference to inequality in the
metronomic intervals). That the rhythmical phases which appear in the
accompaniment are not due to inequality in the stimulation intervals,
is shown by the reversal of relations between the metronome and its
accompaniment which occur in the midst of a continuous series of taps.
To speak roughly, a break occurs every twentieth beat. I do not refer
to minor irregularities occurring within the single group but not
affecting the form of the rhythmical accompaniment. The latter
appeared with surprising rarity, but when found were included in the
continuous calculation of averages. But in every score or so of beats
a stroke out of series would be interpolated, giving the form
| 1 >2 [1] 2 >1 |; the accompaniment being coördinated during the
second portion of the whole series with opposite phases of the
metronome from those with which its elements were connected in the
earlier part. Moreover, the dependence of this grouping of the sounds
on subjective attitudes may readily be made to appear. When attention
is turned keenly on the process its phases of rhythmical
differentiation decline; when the accompaniment becomes mechanical
they mount in value. When the observer tries to mark the ticking as
accurately as possible, not only does the index of his motor reactions
become more constant, but the sounds of the instrument likewise appear
more uniform. The observers report also that at one and the same time
they are aware of the regularity of the metronome and the rhythmical
nature of their tapping, while yet the conviction remains that the
accompaniment has been in time with the beats. Furthermore, if the
phases of ticking in the metronome were temporarily unlike, the motor
accompaniment by a series of observers, if accurate, should reproduce
the time-values of the process, and if inaccurate, should present only
an increase of the mean variation, without altering the characteristic
relations of the two phases. On the other hand, if the series be
uniform and subjectively rhythmized by the hearer, there should be
expected definite perversions of the objective relations, presenting a
series of increasing departures from the original in proportion as the
tendency to rhythmize varied from individual to individual.
On the other hand, a rhythm is already presented in the sounds of the
metronome, occasioned by the qualitative differentiation of the
members of each pair of ticks, a variation which it was impossible to
eliminate and which must be borne in mind in estimating the following
results.
Five reactors took part in the experiment, the results of which are
tabulated in the following pages. The figures are based on series of
one hundred reactions for each subject, fifty accompaniments to each
swing and return of the metronome pendulum. When taken in series of
ten successive pairs of reactions, five repetitions of the series will
be given as the basis of each average. The quantitative results are
stated in Tables VII.-XIV., which present the proportional values of
the time intervals elapsing between the successive reactions of an
accompaniment to the strokes of a metronome beating at the rates of
60, 90 and 120 per minute.
TABLE VII.
I. AVERAGES ACCORDING TO REACTORS OF ALL RATES FOR BOTH PHASES.
(a) In Series of Ten Successive Pairs of Beats.
Subject. I II III IV V VI VII VIII IX X
J. 1.000 1.005 1.022 1.053 1.044 1.116 1.058 1.061 1.055 1.052
K. 1.000 1.027 1.057 1.111 1.093 1.086 1.074 1.096 1.093 1.071
N. 1.000 1.032 1.062 0.990 1.009 0.980 1.019 1.040 1.067 1.040
Aver. 1.000 1.021 1.047 1.051 1.049 1.061 1.050 1.066 1.072 1.054
TABLE VIII.
(b) First and Second Halves of the Preceding Combined in Series of
Five.
Subject. I II III IV V
J. 1.058 1.031 1.041 1.054 1.048
K. 1.043 1.050 1.076 1.102 1.082
N. 0.990 1.025 1.051 1.028 1.024
Aver. 1.030 1.035 1.056 1.061 1.051
TABLE IX.
AVERAGES OF ALL RATES AND SUBJECTS ACCORDING TO PHASES OF METRONOME.
(a) In Series of Ten Successive Reactions in Accompaniment of Each
Phase.
Phase. I II III IV V VI VII VIII IX X
First, 1.000 1.055 1.102 1.097 1.082 1.066 1.053 1.123 1.120 1.074
Second, 1.000 0.988 0.992 1.007 1.016 1.055 1.015 1.009 1.024 1.001
TABLE X.
(b) First and Second Halves of the Preceding Combined in Series of
Five.
Phase. I II III IV V
First, 1.033 1.054 1.112 1.108 1.078
Second, 1.027 1.001 1.000 1.015 1.008
TABLE XI.
AVERAGES OF ALL SUBJECTS ACCORDING TO RATES AND PHASES OF METRONOME.
(a) First Phase, Series of Ten Successive Reactions.
Rate. I II III IV V VI VII VIII IX X
60 1.000 1.168 1.239 1.269 1.237 1.209 1.265 1.243 1.237 1.229
90 1.000 1.048 1.063 1.095 1.086 1.069 1.102 1.127 1.168 1.095
120 1.000 1.004 0.942 1.043 1.057 0.978 0.949 1.065 1.065 0.967
TABLE XII.
(b) Second Phase, Series of Ten Successive Reactions.
Rate. I II III IV V VI VII VIII IX X
60 1.000 0.963 0.942 0.947 1.009 0.695 0.993 0.995 1.023 0.996
90 1.000 0.893 0.987 1.018 1.036 1.005 0.995 1.000 0.977 1.000
120 1.000 1.000 0.990 1.048 1.040 1.007 0.986 1.030 1.037 0.962
TABLE XIII.
AVERAGES OF ALL SUBJECTS AND BOTH PHASES OF METRONOME ACCORDING TO
RATES.
(a) In Series of Ten.
Rate. I II III IV V VI VII VIII IX X
60 1.000 1.065 1.140 1.108 1.123 0.952 1.129 1.119 1.130 1.112
90 1.000 0.970 1.025 1.056 1.061 1.037 1.048 1.063 1.072 1.047
120 1.000 1.000 0.990 1.048 1.040 1.007 0.986 1.030 1.037 0.962
TABLE XIV.
(b) Above Combined in Series of Five.
Rate. I II III IV V
60 0.976 1.097 1.129 1.119 1.117
90 1.018 1.009 1.044 1.059 1.054
120 1.003 0.993 1.010 1.042 1.001
In the following table (XV.) is presented the average proportional
duration of the intervals separating the successive reactions of these
subjects to the stimulations given by the alternate swing and return
of the pendulum.
TABLE XV.
Subject. Rate: 60. Rate: 90. Rate: 120.
B. 0.744 : 1.000 0.870 : 1.000 0.773 : 1.000
J. 0.730 : 1.000 0.737 : 1.000 0.748 : 1.000
K. 0.696 : 1.000 0.728 : 1.000 0.737 : 1.000
N. 0.526 : 1.000 0.844 : 1.000 0.893 : 1.000
The corresponding intensive values, as measured by the excursion of
the recording pen, are as follows:
TABLE XVI.
Subject. Rate: 60. Rate: 90. Rate: 120.
B. (1.066 : 1.000) 0.918 : 1.000 (1.010 : 1.000)
J. 0.938 : 1.000 0.943 : 1.000 0.946 : 1.000
K. 0.970 : 1.000 0.949 : 1.000 (1.034 : 1.000)
N. 0.883 : 1.000 0.900 : 1.000 0.950 : 1.000
These figures present a double process of rhythmic differentiation,
intensively into stronger and weaker beats, and temporally into
longer and shorter intervals. The accentuation of alternate elements
has an objective provocative in the qualitative unlikeness of the
ticks given by the swing and return of the pendulum. This phase is,
however, neither so clearly marked nor so constant as the temporal
grouping of the reactions. In three cases the accent swings over to
the shorter interval, which, according to the report of the subjects,
formed the initial member of the group when such grouping came to
subjective notice. This latter tendency appears most pronounced at the
fastest rate of reaction, and perhaps indicates a tendency at rapid
tempos to prefer trochaic forms of rhythm. In temporal grouping the
coördination of results with the succession of rates presents an
exception only in the case of one subject (XV. B, Rate 120), and the
various observers form a series in which the rhythmizing tendency
becomes more and more pronounced.
Combining the reactions of the various subjects, the average for all
shows an accentuation of the longer interval, as follows:
TABLE XVII.
Rate. Temp. Diff. Intens. Diff.
60 0.674 : 1.000 0.714 : 1.000
90 0.795 : 1.000 0.927 : 1.000
120 0.788 : 1.000 0.985 : 1.000
The rhythmical differentiation of phases is greatest at the slowest
tempo included in the series, namely, one beat per second, and it
declines
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