
There are 9 Saxophones in the primary family (marked with a dagger (†)). And there are as many as 15 types of saxophones, depending on how you define the word. The first four in the list are the most common. Instruments marked with an asterisk (*) are not always considered true saxophones and any one of them may not have been considered one of the 14 by the instructor.
The list is as follows:
Tenor† - In the key of B♭ (one octave below) - sounding range from A♭2 to E5
Alto† - In the key of E♭ - sounding range from D♭3 to A♭5
Soprano† - In the key of B♭ - sounding range from B♭3 to G♭6
Baritone† - In the key of E♭ (one octave below) - sounding range from C2 to A4
Sopranissimo†* - in the key of B♭ (one octave above) - sounding range from B♭4 to D♭7
Bass† - Key of B♭ (two octaves below) - Sounding range B♭1 to F4 (I think)
Sopranino† - In the key of E♭ - sounding range from D♭4 to A♭6
Contrabass† - In the key of E♭ (two octaves below) - sounding range D♭1 to A♭3 (I think)
Tubax* - Available in E♭, B♭, or C (all two octaves below) - sounding range of E♭ (the lowest) model is the same as Contrabass - D♭1 to A♭3 (I think)
C Melody - Key of C (one octave below) - sounding range B♭2 to F5
Connosax (aka Conn-O-Sax)*
Subcontrabass† - Key of B♭ (three octaves below!) - Sounding range B♭0 to F3 (I think)
Mezzo Soprano - Essentially a Soprano sax in F - Sounding range E♭3 to B♭5 - This may not have been counted separately from the soprano sax by the instructor