That's how you play the Chromatic scale on the lower frets. Playing further up the neck is a little trickier. We said that 4 fingers = 4 frets but notice that you actually playe 5 NOTES on each string ... including the OPEN string. The truth is it requires the control of 5 frets on each string to play a Chromatic Scale. Down at the nut, we had the luxury of using the open string as our 5th fret. Anywhere else on the neck, you can't use the open string, so you have to compensate by learning what are called FINGER SHIFTS. Here, 0ne of your fingers must control 2 frets so that your 4 fingers can control 5 frets. Generally speaking, you use your index finger to shift when going up the scale ... and your pinky when coming back down.
You can use this system anywhere on the neck to play in different KEYS ... but for now, let's start by putting our index finger on the 5th fret on our low E string. This is an A note and will be the lowest note we will control. Now move up the next 3 frets with your fingers until you get to your pinky on the 8th fret. You've just run out of fingers. Where do you go to get the next higher note in your Chromatic Scale? As the chart below indicates, you reach out with your index finger an extra fret lower (the 4th fret) on your A string (where the black dot is) and play that note. Then you scoot your index finger across the fret to the fret it was originally on (the 5th fret) and pluck that note. You have just played 2 consecutive notes with your index finger. Now continue up the next three frets with your 3 fingers until you hit your pinky again on the 8th fret. Where to next? You reach your index finger out again to the 4th fret ... this time on your D string, and then scoot it back to the 5th fret. Walk the other 3 fingers up to your pinky on the 8th fret again.
Where to now? Again we reach out to the 4th fret on our G string and shift to the 5th ... but here, things are a little different. Remember, your G and B strings are tuned 1 NOTE CLOSER TOGETHER and this is bound to effect our fingering. It's actually quite simple. You proceed up to your pinky at the 8th fret again ... but now you skip the finger shift and go directly to the 5th fret on your B string as the chart below indicates. Don't shift your index finger. Just walk up until you hit your pinky on the 8th fret. Where to now? You will have to do a shift on your high E string. Reach that ol' index finger to the 4th fret on high E and scoot it up to the 5th fret again ... then proceed up the next 3 frets with your fingers until you max out at your pinky on the 8th fret ... the highest note we can control in this position. We have just played 2 and 1/3rd octaves as we did down at the nut in our previous exercise.
Coming back down the scale, you learn to shift with your PINKY. It's not going to like it at first (it is your weakest finger), but with practice, you'll whip it into shape. Don't whimp out on your pinky! You've only got your 4 fingers. You need them all to master the fretboard and control the instrument the way you want to.
We now start with our highest note ... pinky on the 8th fret of your high E string. March down until you reach your index finger on the 5th fret. Where to next? You reach your pinky out an extra fret (9th fret) on your B string and pluck that note. Then you do a PINKY SHIFT as the black dot indicates on the chart below. You scoot your pinky back onto the 8th fret and pluck that note as well. You have just played 2 consecutive notes with your pinky. You then proceed down the B string until you get to the index finger on the 5th fret.
Here we immediately encounter the 2 strings (G and B) that are tuned 1 note closer together ... so your pinky goes directly to the 8th fret on the G string without reaching out that extra fret. No shift required. Walk down that string to your index finger on the 5th fret.
You will have to reach your pinky out to the 9th fret when you move down from the G to the D string and do another pinky shift to the 8th fret. Walk down that string to the 5th fret. Reach your pinky out to the 9th on the A string and pinky shift again. Walk down to the index finger on the 5th fret again. Reach that pinky out one last time to the 9th fret on the low E string and do a pinky shift to the 8th ... and finally walk those fingers down to the index at the 5th. You should be back to the A note that we started on (5th fret, low E string).