Nick brings up a solid point. All of the 6 strings have different tones. And fretting the strings in different places to create notes also yields different tones. Sometimes I find I really enjoy the B string. Different phrases sound better in differrent parts of the neck. Sometimes picking closer to the neck sounds more pleasing. Sometimes flattening the pick out instead of at an angle yields a different tone. This takes lots of time but is worth investigation. When you can change all this up on the fly, then you are getting somewhere.
Also to Nick, I say this time and time again but I am very keen on proper INTONATION. Now, what this means to most is "playing in tune." You know, not bending the strings out of key. And this is true. But also, and just as importantly, the note itself MUST...I stress this to all my students...MUST BE FRETTED PROPERLY. The note MUST BE FRETTED PROPERLY. THE NOTE MUST BE FRETTED PROPERLY.
Your fingers MUST be curved at the proper angle (as shown in MANY of Pebber's videos). The finger must be right behind the fret. Not between the frets. Right behind the fret. Almost on the fret, but not quite.
This is the whole point of curving the fingers as it gives you the most control of the note and aids in the proper intonation.
Now, this gets more difficult as you go up the fretboard. That is why frets 10-24 may be giving you trouble. Tougher to intonate properly up there.
Also, pick angle. There are a few pedal point licks I like to play on the E and B strings where I don't angle the pick. I flatten it out somewhat. Then move back to an angle for more scalar type playing. I find this flattening of the pick "sounds" better to me for these licks.
There is a point on the string where you fret the note properly and attack the note properly with the pick and the note will "bloom" more nicely. This takes much practice and also experimentation.
Keep working on it! Or, post a video here so we can check it out.