Why don't we play the bottom E in the A major chord - 1st position?Before we start, it must be said that most charts always lead with the root or tonic of a chord...
Technically speaking, you can play the bottom E, because E is part of an A chord, although it tends to 'drown out' the true essence of the chord in terms of sound... why?
The A major chord is made up of the notes A - C# - E (1st - 3rd - 5th) If we look at the scale degrees of a chord, we have the tonic (1st scale degree), the mediant (3rd scale degree), and the dominant (5th scale degree).
The strongest note in any diatonic triad (3-note chord), is the tonic (1st note), and the second strongest is the dominant (5th note), with the mediant (3rd note), the weakest of the three. So in this situation, A and E are the strongest notes, while C# is the weakest.
It must also be said that the third note (mediant) determines whether or not a chord is major or minor, so it does have a distinct presence within a chord. Most chords usually have 1 mediant, with fewer having 2... you don't want too many in a chord, as it starts to sound too muddy.
It's always nice to start any chord on the tonic or root note as this sets the tone for the chord. If that isn't possible, the next best note to start a chord would be the dominant or 5th note, making sure there is a fairly even balance between tonic and dominant notes. It's interesting to note that these 2 notes make up power chords, as they are the strongest notes in a diatonic scale.
The next thing you need to look at, is how many times you are playing the notes (A - C# - E ) in the chord. If you were to play the A major chord including the bottom E string and strumming downwards, the chord would read, E - A - E - A - C# - E. Notice how many E's there are along with their positioning... 2 tonics, 1 mediants, and 3 dominant... top, center, and bottom. In this case, there are too many dominants in the chord with a tendency to 'over-power' it.
Removing one of the dominants and starting the chord on the tonic or root note, resolves this situation leaving us with a chord that sounds right... A - E - A - C# - E, i.e., 2 tonics, 1 mediant, and 2 dominants... a more balanced mix.
Try it for yourself... strum down on all 6 strings including bottom E, and then do the same, except this time omitting the bottom E, and start on the 5th string (A). Notice the difference in sound...What about the other positions:
A - 2nd position has a 3:1:2 ratio leading with the tonic which is great.
A - 3rd position has a 2:2:1 ratio without the optional note which is fine, however there is room for another E or dominant note which is optional - fret 12, bottom string.
Because there are 2 tonics (A) and 2 mediants(C#), there is room for another dominant (E), without effecting the true nature of the chord... it makes for a fuller sounding chord due to the even balance of notes, i.e., 2:2:2 ratio with all the notes in close proximity. If you don't play the optional note, don't play the open E as it is too distant from the other notes, and being a dominant note, overpowers the sound of the chord.
PS. If you do play the A chord in the 3rd position, you should pat yourself on the back. Without the optional note, it takes some getting used to, and with the optional note it becomes very difficult as your 4th finger has to cover the bottom 2 strings... good luck.
It must be said that each chord has to be treated on it's own merit. You may want to play the bottom E string on an A chord because you are after a particular sound. This is usually written as A/E which means an A chord leading with an E bass note. You will also find that some chords have more dominant notes than tonics, and sound fine, e.g. B♭ major 1st position barre chord with the optional note added has a ratio of 2:1:3 ... your ears always have the answer.
General rule of thumb for making up your own 3 note chords (triads):
- Analyze the chord and look at the ratio of tonic:mediant:dominant
- Lead with the tonic or root note of the chord wherever possible.
- If that isn't possible, lead with the dominant or 5th note of the chord.
- Too many mediants tend to muddy the chord while too many dominants tend to overpower the chord.
- Let your ears decide. Any musician can hear if a chord doesn't sound right. If you are making up your own chords, and something is amiss, analyze the chord and make sure there is a healthy balance, preferably in the order of a tonic/root note, and make any appropriate changes.