The combinations followed in the experiments in this order: _abc_,
_cbabc_, _abcb_, _cba_, _abcba_, _cbab_, _bcba_, _cbabcb_, _ababc_,
_babc_, _abcbab_, _babcba_, _cbcba_, _bcbabc_, _abca_, _acba_, _acb_,
_cbac_, _abcab_, _cabc_, _cbacb_, _acbab_, _cab_, _bca_, _cabcb_,
_bac_. The lowest tone was varied between 200 and 444 vibrations; _b_
and _c_ were thus always still less distant than the next musical
tone. The chief results may be shortly characterized as follows.
There are hardly any judgments of indifference, the combinations are
always decidedly pleasing or unpleasing. Of course a certain training
in the apperception of such small-interval melodies preceded the
real experiments and produced an attitude of adjustment to amusical
relation. If we are in the midst of musical tone-relations and go
over directly to such miniature intervals, we are seeking for the
fulfilment of the habitual expectation and feel dissatisfied, or in
the best case the procession is an indifferent chance combination.
But as soon as a certain training with small intervals has inhibited
the strictly musical expectations, a new setting of judgments with
new standards comes in and a new source of pleasantness is opened.
Of course even then no extreme feelings are to be expected; while
the indifference-judgment 4 is lacking, the strong pleasure and
displeasure, the judgments 1 and 7 are completely lacking too; three
fourths of the judgments are 3 and 5. The pleasantness is decidedly
more frequent than the unpleasantness, and this relation increases
with the interval. The differences of four vibrations were especially
with the higher tones hardly distinct for some of the subjects. Among
288 judgments in each group there were 150 pleasant and 138 unpleasant
when the distances between _a-b_ and _b-c_ were four vibrations, 208
pleasant and 80 unpleasant when the distances were 8 vibrations, and
226 pleasant and 64 unpleasant when the distances were 12 vibrations.
The order of pleasantness expressed by the fraction of judgments of
pleasantness and unpleasantness is the following: the largest number of
pleasant feelings belonged to the figures _cbab_ and _bac_, immediately
followed by _abcb;_ the further order downwards in affective value was:
_cab_, _cbac_, _babc_, _abca_, _cbcba_, _ababc_, _abc_, _cabc_, _acba_,
_cbabcb_, _bcba_, _acb_, _abcba_, _cba_, _cbabc_, _abcab_, _babcba_,
_cbacb_, _acbab_, _bcbabc_, _abcbab_, and _cabcb_ as least pleasant.
[Illustration: PLATE VII.]
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