Crompton, AP ORCID: 0000-0001-9206-8341
(2018)
The Checkerboard of Tunes.
In: Bridges 2018, 2018-7-24 - 2018-7-29, Stockholm.
Text
Checkerboard of Tunes, Bridges 2018.pdf - Published version Download (4MB) |
Abstract
A physical model was made of all the tunes in Deny Parsons’ Directory of Tunes. The Directory encodes tunes as a sequence of the letters, U, R, or D, according to whether the notes go up, repeat, or go down, with respect to the previous note. If we substitute +1, 0, -1 for U, R, D respectively, then let the Parsons number, S(n), be their sum up to the nth note. When the number of tunes with particular values of S for n = 1, 2, ...16, were counted for all the tunes in the Directory the results, seen in model form, showed a surprising checkerboard pattern. It is argued that the checkerboard is musically significant and arises because the distribution of repeating notes in tunes is non-random.
Item Type: | Conference or Workshop Item (Unspecified) |
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Depositing User: | Symplectic Admin |
Date Deposited: | 31 Jul 2018 09:07 |
Last Modified: | 19 Jan 2023 01:29 |
URI: | https://livrepository.liverpool.ac.uk/id/eprint/3024403 |