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Retention as a Function of Order of Succession
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If the separate syllables are designated by the positions which they held in the original arrangement, the following scheme results:


I(1) I(2) I(3) I(15) I(16)
II(1) II(2) II(3) II(15) II(16)
. .
. .
. .
VI(1) VI(16)


By using the same scheme the derived groups appear as follows:


By Skipping 1 Syllable
I(1) I(3) I(5) I(15) I(2) I(4) I(6) I(16)
II(1) II(3) II(5) II(15) II(2) II(4) II(6) II(16)
. .
. .
. .
VI(1) VI(3) VI(15) VI(2) VI(4) VI(16)


By Skipping 2 Syllables
I(1) I(4) I(7) I(10) I(13) I(16) I(2) I(5) I(8) I(11) I(14) I(3) I(6) I(9) I(12) I(15)
II(1) II(4) II(7) II(16) II(2) II(5) II(14) II(3) II(6) II(15)
. . .
. . .
. . .
VI(1) VI(4) VI(16) VI(2) VI(5) VI(14) VI(3) VI(6) VI(15)


By Skipping 3 Syllables
I(1) I(5) I(9) I(13) I(2) I(6) I(10) I(14) I(3) I(7) I(11) I(15) I(4) I(8) I(12) I(16)
II(1) II(5) II(2) II(6) II(3) II(7) II(3) II(4) II(16)
. . .
. . .
. . .
VI(1) VI(6) VI(2) VI(6) VI(3) VI(7) VI(4) VI(8) VI(16)


By Skipping 7 Syllables
I(1) I(9) II(1) II(9) III(1) III(9) IV(1) IV(9) V(1) V(9) VI(1) VI(9) I(2) I(10) II(2) II(10)
III(2) III(10) IV(2) IV(10) V(2) V(10) VI(2) VI(10) I(3) I(11) II(3) II(11) III(3) III(11) IV(3) IV(11)
. . .
. . .
. . .
V(7) V(15) VI(7) VI(15) I(8) I(16) II(8) II(16) III(8) III(16) IV(8) IV(16) V(8) V(16) VI(8) VI(16)


As a glance at this scheme will show, not all the neighboring syllables of the derived series were originally separated by the number of syllables designated. In some places in order to again obtain series of 16 syllables, greater jumps were made; but in no case was the interval less. Such places are, for example, in the series in which two syllables are skipped, the transitions from I(16) to I(2) and from I(14) to I(3). In the series in which 7 intermediates were jumped, there are seven places where there was no previous connection between successive syllables since the syllables in question came from different series and the different series, as has been often mentioned, were learned independently. The following is given in illustration: I(9) II(1), II(9) III(1), etc. The number of these breaks varies with the different kinds of derivation, but in each case is the same as the number of skipped syllables. On account of this difference,