Musical
Influences: Some Additional Statistics
In this
and its twin page (re the 'Has Influenced' data),
some additional statistics are offered in an effort to further
summarize the influences data given in the "Composers" section
on a composer-by-composer basis. In that section the relative
removed age of influence is conveyed in the last two fields
by preceding the names in each list with '+' and '-' signs;
in the 'Musical Influences' field a name is so tagged as follows:
(1) no tag: indicates that the influencing composer is older
than the subject composer, and was alive during the latter's
life; (2) one minus ( - ): indicates that the influencing composer
died 0 to 25 years before the birth of the subject composer;
(3) two minuses ( -- ): indicates that the influencing composer
died 25 to 100 years before the birth of the subject composer;
(4) three minuses ( --- ): indicates that the influencing composer
died more than 100 years before the birth of the subject composer;
(5) one plus ( + ): indicates that the influencing composer
was younger than the subject composer. In Tables A and B below
these data have been summarized on a by-composer basis. Tables
C and D, concerning the 'Has Influenced' data (on the twin
page), contain the same variables and data, but have been sorted
according to other of these variables/data.
The first
three columns in the tables give the 'Mean Age' of
the influencing composers, simply by assigning the values 0,
-1, -2, -3, and +1 to the conditions described above, and then
taking the sums and means. For example, it turns out that Carl
Orff's influences code as: -3 -3 -3 0 0 -3 -3 -3 0 0, which
summed comes to a value of -18., which divided by the number
of influences involved (10) produces a mean value of -1.8.
The second column relays the number of influences (in his case,
10). The third column relays an unusual statistic: the number
of composers influencing the subject composer who were younger
than he/she was. Columns
four through six provide a slightly different look at the 'Has
Influenced' data: column four consists of the total number
of plusses connected to the subject composer; column five relays
the total number of composers influenced by
the subject composer; and column six the number of composers
influenced by the subject composer who were older than he/she
was.
To create
the "111 Most Influential Composers" list, I left
out of my calculations any name in the influences lists that
either had a '?' appended to the name, or was not from the
basic list of 500 ( i.e., any of the names appearing
within brackets [ ] ). This, in the interest of conservative
and equal appraisal. To produce the lists here (and for tables
C and D), however, I have included
all names in the influences lists. However, composers
in the "Composers" list who influenced, or were influenced
by, fewer than six other composers were not counted. This makes
comparisons among the remaining names a bit more realistic.
However, as a result one cannot "rank" them, but
only put them in order. Tables A and B contain data on just
over half of the names from the list of 500; Tables C and D,
just under thirty percent. This is not as bad as it sounds,
as most of the major composers are represented in both lists,
and somewhere around half of the 500 produced no or only one
significant influences on later figures anyway. Remember
also that we are trying to identify a population here,
not just taking a sample.
In Table
A, the lowest possible value obtainable for the first column,
'Mean Age', would be -3.0, and the highest, 1.0. Of all the
composers I investigated, Carl Orff was apparently the most
influenced by past figures. Rounding out the list at the bottom
are Papa Haydn and Guillaume Dufay (though the latter's situation
is complicated by poorly recognizable influences, and date-of-birth-comparison
problems)--an interesting turn of affairs.
The second
column, gives the number of influencing composers involved
for each subject composer.
In Table
B, data in the third column form the primary sort:
to emphasize those composers who were most influenced by composers
younger than themselves. The clear winners are Papa Haydn and
Giacomo Puccini. It is inspiring to consider how these
already great figures continued to absorb new influences
into their music.
For parallel
information focusing on the 'Has Influenced' data (columns
four through six), see the twin page in this section.
retrieve PDF file here
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