what do you notice about them with regard to intervals and half steps ?
Play the notes in each scale sequentially starting on the lowest C note, 3rd fret,
A string and for the E major scale, starting on the E note, 7th fret, A string.
Count the half-steps between the notes. You'll see that there are:
~~~~~~~~~~~~~~ C major scale~~~~~~~~E major scale
2 half-steps between the notes, C, and D.~~~~~~~~~~E and F#.
2 half-steps between the notes, D and E.~~~~~~~~~~F# and G#.
1 half-step between the notes, E and F.~~~~~~~~~~~G# and A.
2 half-steps between the notes, F and G.~~~~~~~~~~~A and B.
2 half-steps between the notes, G and A.~~~~~~~~~~~B and C#.
2 half-steps between the notes, A and B.~~~~~~~~~~ C# and Eb.
1 half-step between the notes, B and C.~~~~~~~~~~~ Eb and E.
12 half-steps, total
The intervals and half-steps in both scales are the same.
These distances or numbers of half-steps remain the same for all major scales. This is an important idea because it is what enables the bass player to be able to easily play in any key (transpose) merely by moving his or her basic fingering position up or down the fret board (the neck of the bass), just starting the same patterns of fingering on a different fret!
Definition: transpose: to change to another key.
Play these scales again. Try to play other scales using the same intervals and fingering patterns. Just start on different notes.
Playing scales is one of the most boring things you can do. One thing you can do to make playing scales sound less boring and add excitement is to play small sections of scales in ascending or descending groups of two, three or four notes, the pattern of which you repeat starting on a higher (or lower) note each time. For example, using the positions of the major scale, 1 2 3 4 5 6 7 8, play a group of three notes in a pattern such as 1 2 3, 2 3 4, 3 4 5, 4 5 6, 5 6 7, 6 7 8. And descending - 8 7 6, 7 6 5, 6 5 4, 5 4 3, 4 3 2, 3 2 1. Always play both ascending and descending.
Invent some of your own. You can structure your pattern any way you choose and you can also choose any notes of the scale to include in the pattern. Whatever sounds good. In addition to making the playing of scales sound less boring you'll find as you listen to music with this concept in mind that these types of small groups of notes in a pattern which is repeated ascending or descending are used everywhere! They'll become tremendously useful to you! Guitarists use them all the time. Saxophonists do, too. John Coltrane, a twentieth century Saxophonist, used groups of two notes early in his career and progressed to using three notes in short bursts a little later. You can learn a lot about this by listening to talented and highly skilled musicians on all instruments and in all genres of music. This is a concept that you as a bass player can use use frequently. It's highly useful when soloing. It will also improve your fretting and plucking dexterity.
Definition: pattern: something to be copied. A group of relationships between select notes (of a scale in this case) of which the group can be copied or repeated.