A perfectly pure major third and a perfectly pure fifth don't fit together evenly across twelve frets. Equal temperament solves that by giving every interval a small error, so every key sounds equally good and none sounds perfect. Fifths are off by about 2 cents, which nobody notices. Major thirds are about 14 cents wider than pure, which plenty of people notice. They just don't know what they're hearing.
On a piano those errors are spread across a hundred strings. On a guitar they land on six, and open chords make them obvious. In an open G, the open B string is the third of the chord. In an open E, it's the G# on the G string. Those thirds are the notes that beat against everything else, and that slow wobble is the "sour" you hear after tuning perfectly.
You can't make every chord pure, but you can split the difference in favor of the chords guitarists play most. Tune normally first, then nudge these strings down by a hair:
| String | Offset |
|---|---|
| Low E | −2 cents |
| A | 0 |
| D | −1 cent |
| G | −2 cents |
| B | −1 cent |
| High E | 0 |
These are tiny moves. You won't hear any one string change on its own. Strum a G, a C and a D before and after, though, and listen to the chords settle. Any tuner that shows cents can do this; aim the needle just left of center by the amount above.
Temperament explains the sour open chord when everything else is right. If chords go sour higher up the neck, or only in some positions, check these first:
I got tired of doing this math every time I changed strings, so I built it into the tuner in Chartless. It's called Sweetened: one toggle, and the tuner aims each string at its offset instead of dead center. There's also a Just option that tunes toward the key of the last song you charted, so that song's chords ring pure. Sweetened is part of Chartless Pro, with a free trial; the regular tuner, alternate tunings and the live chord chart are free.
Thirty seconds of before and after: the Sweetened explainer on YouTube.
Need a quick check right now? Try the free online tuner.