Preliminaries
Step1
Understand guitar tuning. In standard guitar tuning the notes are, from lowest to highest, E,A,D,G,B and E. There are two E strings, separated by two octaves.
Step2
Understand overtones. When you pluck a string, it doesn't just play the pitch of the note. It also plays overtones, which are frequencies that are multiples of the fundamental pitch. So, for example, the A string vibrates at 110 hz (hertz or cycles-per-second), but also at its overtones at 220 hz, 330 hz and so on.
Step3
Understand how to isolate an overtone. By lightly touching the string at certain points, plucking it with the other hand, and quickly removing your finger, you can hear one overtone without hearing the fundamental frequency. This is important for tuning.
Step4
Understand beat frequencies. A beat frequency occurs when two strings vibrate at very similar frequencies at the same time. The beat is a pulsing sound dependent on the difference between the frequencies. For example, if one string is vibrating at 200 hz and another is vibrating at 203 hz, you will hear the note get louder and softer three times every second.
Method One
Step1
Hold down the low E string behind the fifth fret and pluck the string.
Step2
While the low E is ringing, pluck the A string.
Step3
Adjust the A string until the two have the same tone. You will know because the beat frequency will get slower and then stop. When it stops, you are in tune.
Step4
Repeat the steps above, only this time use the A string to tune the D string. Hold the A string at the fifth fret and pluck it and the open D string. Tune the D string until the beat frequency stops.
Step5
Repeat, tuning the G string to the fifth fret of the D string.
Step6
Repeat, but with one minor variation. This time, tune the B string to the fourth fret of the G string.
Step7
Tune the high E string to the fifth fret of the B string. Your guitar is now tuned.
Method Two
Step1
Play an overtone at the fifth fret of the low E string and another overtone at the seventh fret of the A string.
Step2
Adjust the tuning of the A string until the beat frequency slows and stops.
Step3
Now tune the seventh fret harmonic of the D string to the fifth fret harmonic of the A string. Adjust the D until the beat frequency stops.
Step4
Tune the seventh fret harmonic of the G string to the fifth fret harmonic of the D string.
Step5
This time, it's a bit different. Tune the fifth fret harmonic of the B string to the fourth fret harmonic of the G.
Step6
Tune the seventh fret harmonic of the high E string to the fifth fret harmonic of the B. Your guitar is now tuned.