Sums

Tom Johnson () and Franck Jedrzejewski ()

Chapter Chapter 2 in Looking at Numbers, 2014, pp 21-29 from Springer

Abstract: Abstract Another interesting way of looking at numbers is simply to put them together when they have the same sum. I first became interested in this when I wanted to construct groups of chords having the same average height, that is, when the sums of the notes would all be the same. That would permit me to write harmonies that would move a lot without ever really going up or down. To make the music even more immobile, I wanted to link these chords by minimal differences, so that with each move one voice would move up a notch and one would move down a notch, and the rest would not change. How does this work?

Keywords: Construct Groups; On-Line Encyclopedia Of Integer Sequences (OEIS); Eulerian Path; Four-note Chords; Harmonic Construction (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-0554-4_2

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DOI: 10.1007/978-3-0348-0554-4_2

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