We study some combinatorial properties related to the problem of tablature for stringed instruments. First, we describe the problem in a formal way and prove that it is equivalent to a finite state automaton. We define the concepts of distance between two chords and tablature complexity in order to study the problem of tablature in terms of music performance. By using the Schutzenberger methodology we are then able to find the generating function counting the number of tablatures having a certain complexity and we can study the average complexity for the tablatures of a music score.

Tablatures for Stringed Instruments and Generating Functions / D. Baccherini;D. Merlini;R. Sprugnoli. - STAMPA. - (2007), pp. 40-52. [10.1007/978-3-540-72914-3_6]

Tablatures for Stringed Instruments and Generating Functions

MERLINI, DONATELLA;SPRUGNOLI, RENZO
2007

Abstract

We study some combinatorial properties related to the problem of tablature for stringed instruments. First, we describe the problem in a formal way and prove that it is equivalent to a finite state automaton. We define the concepts of distance between two chords and tablature complexity in order to study the problem of tablature in terms of music performance. By using the Schutzenberger methodology we are then able to find the generating function counting the number of tablatures having a certain complexity and we can study the average complexity for the tablatures of a music score.
2007
9783540729136
Fun with Algorithms, 4th International Conference, FUN 2007, Lecture Notes in Computer Science 4475
40
52
D. Baccherini;D. Merlini;R. Sprugnoli
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/647409
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