Prelude Op. 11, No. 1 by A. Scriabin: ICVSIM Relations

Nikita Mamedov and Robert Peck
Proceedings of Bridges 2016: Mathematics, Music, Art, Architecture, Education, Culture (2016)
Pages 465–468 Short Papers


ICVSIM (Interval Class Vector Similarity) is a function, developed by Eric Isaacson, that allows us to measure and compare the musical interval relations of vectors ICV of two sets of any cardinality. The function measures an average difference between two sets. The octatonic collection and the whole tone collection produce the most distant ICVSIM value of 3.58. Scriabin's Prelude Op. 11, No. 1 contains a total of 89 sets of quintuplets and triplets. Out of these 89 sets, there are a total of 20 unique sets with different ICV values. An ICVSIM analysis indicates that this prelude contains sets of high similarity, as 68.4% of ICVSIM values are equal to or less than 1.00 and the average ICVSIM value, utilized in this prelude, is 0.93.