The numbers in parentheses refer to pitch intervals in semitones. Messiaen’s “modes of limited transposition,” as he called them, are shown in the table in Example 9 and in notation in Example 10. ![]() Olivier Messiaen was interested in composing with collections that can only be transposed a few times before they repeat themselves, such as the octatonic collection. Messiaen’s modes of limited transposition ![]() school at that northern Italian city and a theorist of unusual pedagogical gift. Many composers of the 20 th and 21 st centuries have looked for new ways of generating pitch collections for their music. Musical notation, having emerged on a wide scale in all civilizations. The acoustic scale is derived from the notes of the overtone series.
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