The tenor saxophone has a large range, going all the way from A#2 to E5. However, seeing as the tenor saxophone is a transposing instrument, the note you play is not the note you hear. It is transposed up a major ninth (an octave + a major second) from concert pitch. (See below)
The fingering chart on the left includes altissimo notes. These altissimo, or 'overtones' as they are sometimes called, are notes of which are higher than the actual range of the instrument. For example, the altissimo range of the tenor saxophone goes as high as C7.
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Left hand keys
The left hand goes on the top set of keys on the saxophone. The three main keys that are used most commonly, and for the notes that you learn when you first start on tenor saxophone, are the ones labeled 1, 2, and 3. Your pointer finger goes on 1, your middle finger goes on 2, and your ring finger goes on 3. Your pinky is used for the keys labeled G#, C#, B, and Bb; and your palm is used for the keys labeled Eb, D, and F. The key labeled f is to be used by your pointer finger, and the key between the 1 and 2 keys is to be used by either your pointer or middle finger; whichever one makes it the easiest to play and flows best with the song you are playing. Also, not pictured here is the octave key. This key is positioned directly by where your left thumb sits, and is to be played by your left thumb.
The left hand goes on the top set of keys on the saxophone. The three main keys that are used most commonly, and for the notes that you learn when you first start on tenor saxophone, are the ones labeled 1, 2, and 3. Your pointer finger goes on 1, your middle finger goes on 2, and your ring finger goes on 3. Your pinky is used for the keys labeled G#, C#, B, and Bb; and your palm is used for the keys labeled Eb, D, and F. The key labeled f is to be used by your pointer finger, and the key between the 1 and 2 keys is to be used by either your pointer or middle finger; whichever one makes it the easiest to play and flows best with the song you are playing. Also, not pictured here is the octave key. This key is positioned directly by where your left thumb sits, and is to be played by your left thumb.
Right hand keys
The right hand goes on the bottom set of keys on the saxophone. The keys labeled 1, 2, and 3 correspond to your first, second, and third fingers (as with the left hand). The keys in the top left-hand corner labeled E, C, Bb, high f#, and F#, are to be played with your palm, and the keys in the bottom left-hand corner labeled Eb and C are to be played with your pinky.
The right hand goes on the bottom set of keys on the saxophone. The keys labeled 1, 2, and 3 correspond to your first, second, and third fingers (as with the left hand). The keys in the top left-hand corner labeled E, C, Bb, high f#, and F#, are to be played with your palm, and the keys in the bottom left-hand corner labeled Eb and C are to be played with your pinky.