The pentatonic scales can be heard in music across the world. They have only five notes, but those notes seem to ‘fit’ well in a lot of places.
Learning pentatonic scales will enable you to quickly have something under your fingers that you can play. The blues scale and minor pentatonic scale are similar.
If you want to play pentatonic scales on tenor sax, to get from concert key (piano, guitar, etc) to Bb (the key that tenor and soprano sax are in) you need to go up a whole step.
So concert Bb is C on tenor sax, concert F is G on tenor sax, etc.
From there there,
The major pentatonic scale is the 1, 2, 3, 5, 6
In the key of C (on tenor sax) that would be C, D, E, G, A
Minor pentatonic scale is the 1, b3, 4, 5, b7
In the key of C (on tenor sax) that would be- C, Eb, F, G, Bb