The Search for Adaptations in Song Melodies

We deal with symbolic sequences (texts) in the analysis of natural languages, DNA molecules, musical compositions, computer routines, and elsewhere. The essential structural components of texts are repetitions-the fragments that in some sense are similar to each other. The representation of texts in terms of repetitions is used for the solutions of various classification problems (Gusev and Chuzhanova 1990). The role of repetition in musical compositions, particularly in songs, is of special significance. The repetition of separate fragments (intonations) in melody facilitates its better learning, and the variation of repetitions enriches the melody. Together, these constitute important means for developing musical themes.