It’s very common for woodwind doublers to be saxophonists first, and approach the other woodwinds later, often because of the demands of flute/clarinet doubling in jazz big band music. So advice for woodwind doublers is often really advice for saxophonists playing secondary instruments. But when players of other woodwind instruments pick up the saxophone, there are some challenges that need to be addressed as well.
Tone production problems (pitch, tone, response). Assuming good breath support is in place (the same as with any other woodwind), these problems are probably caused by some combination of embouchure and voicing issues.
As with the other reed instruments, your embouchure should be airtight but not tight—just enough to close around the mouthpiece and reed, with your top teeth on the mouthpiece and your bottom lip in a neutral position (not rolled in or out). A tight embouchure constricts tone and reduces dynamic range.
The mouthpiece should angle up to your embouchure a little, but not at nearly as steep an angle as the clarinet or the oboe. Too steep an angle contributes to an uncharacteristic, slightly clarinet-like tone.
Use the paper trick to ensure you are taking in the right amount of mouthpiece. Taking in too much mouthpiece creates a wild, honky tone, and to little causes a stuffy, labored tone.
Voicing is tricky to get right on the saxophones. Flutists and double reed players are used to playing with a voicing essentially as low as it can go, and clarinetists use an embouchure essentially as high as it can go. Saxophonists need to hit a target somewhere in between. Daily mouthpiece pitch exercises are the best way to train this. Using a too-high voicing causes the thin, pinched sound and poor low-register response that expose you as a doubler coming from the clarinet. A too-low voicing causes a tubby tone, unstable pitch, and unresponsive high notes.
Fingering problems. The saxophone’s fingering system is in some ways the simplest and most intuitive of the modern woodwinds, but it has its share of problems. “Side” and “palm” keys are among them—they are awkward and imprecise to use, and take a great deal of practice to develop fluency. Similarly, movement between the pinky-finger keys using rollers, especially on the left hand, is problematic and requires diligent training. Scales and arpeggios, practiced though the instrument’s full standard range, are essential. Fluency in the saxophone’s middle register is comparatively easy, but the lowest notes (left-hand pinky) and highest notes (palm keys, especially left hand) are a real test of saxophone skill.
Style problems. For doublers approaching the flute, clarinet, or double reeds, a solid classical/orchestral approach to the instrument will cover most musical demands. Not so with the saxophone, which is often used in jazz or popular styles. To play these styles convincingly requires meticulous attention to tone, inflection, articulation, vibrato, and other subtleties. Doublers learning the saxophone would be wise to consider taking lessons both from “classical” and jazz teachers, and to do a great deal of listening and study of many styles of music.
Effective improvisation in various musical styles is a lifetime pursuit, and essential for serious saxophone gigging. Find a good teacher.
Jazz and classical setups. For saxophonists, playing in different styles sometimes requires different equipment. It’s common to have a classical mouthpiece and at least one jazz/pop mouthpiece, plus reeds to suit each. A classical mouthpiece often doesn’t have the volume, brightness, or punchy articulation needed for jazz or rock, and a jazz mouthpiece may not have the warm/dark tone, pitch stability, and subtle/soft dynamics for classical music.
Jaw vibrato. Jaw vibrato is a technique unique to the saxophone among the other woodwinds. (Clarinetists most often don’t use vibrato, and flutists and double reed players use a breath-pulse vibrato sometimes mislabeled as “diaphragm” vibrato.) Mastery of this skill takes good instruction and lots of practice. The saxophone vibrato needs to be fast, narrow, subtle, and fairly constant for most classical applications. Jazz players traditionally tend toward a slower, wider, terminal vibrato.
The saxophone is a valuable and rewarding double, and opens up many gigs that aren’t available to players of just the “orchestral” woodwinds. Give it serious study on its own terms and with an excellent teacher. Practice well!