[r-t] Cambridge Major Tenors Together - The Full Monty
andrew_johnson at uk.ibm.com
Fri Jun 4 13:37:13 BST 2021
I have created a collection on CompLib
https://complib.org/collection/11125 based on
I also went through all the compositions on CompLib with the same
Only Cambridge Surprise Major
>= 5000 changes
Tenors strictly together
and found 74 compositions. Some of those compositions didn't seem to be
small variations of the 48 representative compositions, so I added all the
compositions to the collection, and categorised the ones over the 48 as
extra or similar. [I think the 48 were just grouped by parts, length and
number of befores].
For similarity I used the following:
Generate the rows for each composition.
When comparing a composition to a reference composition, chose the
rotation / reversal which maximises the number of row + next row pairs in
the composition which match a row + next row pair in the reference.
For each composition, try all the other compositions as a reference
composition and find the one with the best match.
That worked reasonably well, and found compositions such as
https://complib.org/composition/35968 which wasn't close to anything in
the Full Monty list.
./c80532.rows=5346 rows c35968.rows=5024 rows rotate 4706:>15643278
start=16542378 same rows=2630 52.35% same next row=2471; 93.95% of same
rows; 49.18% of all rows
As a comparison
c67542.rows=5120 rows c33105.rows=5120 rows rotate 3072:>14563278
start=16523478 same rows=5120 100.00% same next row=5112; 99.84% of same
rows; 99.84% of all rows
look similar according to my calculation.
These look very similar:
./c10029.rows=5600 rows c67414.rows=5184 rows rotate 0:>12345678
start=12345678 same rows=5184 100.00% same next row=5181; 99.94% of same
rows; 99.94% of all rows
If the conductor was calling #67414, but you thought the conductor was
calling #10029 only 3 times would you be surprised by the next row if you
were just considering the current row.
Perhaps that calculation should just look at the lead end / lead head
pairs, or lead end / lead head pairs at a tenors together calling position
but it works okay for this situation. Consider just the lead end / lead
head might be better for methods where a different course could be singled
in at one of two places - should every row pair in the singled in course
be counted as a difference or just the calls?
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