In addition to providing a way to refine and extend the tone and technique in the altissimo register, octave exercises are excellent for increasing student proficiency in a number of other areas:
1) Creating smooth transfer over large intervals
2) Establishing accurate pitch discernment in all registers (intonation)
3) Reinforcement of the proper mechanical approach in all registers.
Students should start with one-octave exercises in the middle and low registers. Make sure to use a variety of articulations, rhythms, and dynamics, and work for a consistent and focused tone. It is also highly recommended that students use a tuner while performing octave exercises so that they become keenly aware of pitch tendencies. As beginning students are able, octave studies should be extended to at least C4 (High C above the staff).
Exercise I: One Octave
Exercise II: Two Octaves
It is important to alternate the starting position of these exercises. Students frequently have more difficulty starting on the upper note.
Exercise III: Two Octave Altered
Exercise IV: Three Octaves
Exercise V: Three Octaves - Altered