This article presents a mathematical description, in terms of recursively defined number sequences, of the algorithms devised by the Danish composer Nørgård. The ambition of the latter was to generate from a very short sequence of tones melodies rich in symmetries and selfsimilarities, melodies which could be aperiodic and hence infinite in length. Given the mathematical presentation a variety of results can be formulated and proved. Note that the well-known Thue-Morse sequence is essentially a special case.
NATURVETENSKAP -- Matematik -- Annan matematik (hsv//swe)
NATURAL SCIENCES -- Mathematics -- Other Mathematics (hsv//eng)
NATURVETENSKAP -- Matematik -- Diskret matematik (hsv//swe)