21. Thus, they are a mirror image of the harmonic series , the undertone series. 22. It is limited to notes within the harmonic series because the embouchure controls the pitch. 23. This unintended connection to tonality can be explained by the harmonic series and musical phonology. 24. Together they form the harmonic series . 25. Recent efforts include a considerably revised view of the structure and genesis of the harmonic series . 26. Rigorous proofs require proper and more careful treatment of the divergent terms of the harmonic series . 27. Other notes between the harmonic series notes are achieved by positioning a hand in the bell. 28. This satisfies the recurrence relation of a partial sum of the harmonic series , thus implying the formula 29. His String Quartet No . 9 uses intervals of the harmonic series as high as the 31st partial. 30. The trembita has no lateral openings and therefore gives the pure natural harmonic series of the open pipe.
