Late in the set, the band settles on one chord and just rides it. The organ holds a fat major sound, the horns punch a riff that keeps landing a little lower than you expect, and the singer leans on a note that should feel wrong over a happy chord but sounds exactly right. That slightly lowered note is the signature of Db Mixolydian. It's a major scale with one tone pulled down a half step, and that one change takes it from bright and settled to loose, bluesy and ready to roll.
Most people meet the major scale first. It's the familiar do-re-mi sound, and in this key it runs Db, Eb, F, Gb, Ab, Bb, C, then back to Db. Sing it slowly and notice how that C near the top leans hard into the Db above it. That pull is why the major scale sounds so finished when it lands.
Now lower that C by a half step. A half step is the smallest step in Western music, like moving from one piano key to the very next one, black or white. The C drops to Cb, and you get Db Mixolydian:
Db, Eb, F, Gb, Ab, Bb, Cb
That's the whole difference. Six notes stay put, one moves. On the piano, play Db major with your right hand, then play it again but swap the C for the key just below it. Your ear will tell you everything: the second version sounds major, but with its collar loosened.
Musicians describe scales with numbers measured from the root, the home note the scale is named after. Mixolydian's formula is 1, 2, 3, 4, 5, 6, b7. Every number matches the major scale except the last, where the flat sign tells you the 7th has been lowered. In interval terms, you have a major 2nd, major 3rd, perfect 4th, perfect 5th, major 6th and a minor 7th above Db.
You can also build it from steps. A whole step is two half steps, skipping one key on the piano. Mixolydian follows W - W - H - W - W - H - W. From Db: a whole step to Eb, a whole step to F, a half step to Gb, a whole step to Ab, a whole step to Bb, a half step to Cb, and a whole step back up to Db. Compare that with the major scale's W - W - H - W - W - W - H, and you can see the last two steps have simply swapped places.
This is the spot that makes newer musicians squint, so here's the reassurance: Cb is the same piano key as B. It sounds identical. It's written as Cb for a tidy reason.
Scales like this use each letter name once, A through G, in order. We already have Bb as the 6th, so the 7th has to be some kind of C. Lowering C gives Cb. Calling it B would leave us with two B's and no C at all, which makes music harder to read, not easier. The spelling tells you its job: it's the 7th of the scale, just flattened.
If those seven notes look familiar, it's because they're exactly the notes of Gb major (Gb, Ab, Bb, Cb, Db, Eb, F). That's the parent major scale, and it's why Db Mixolydian uses the Gb major key signature of 6 flats. Same notes, different home: Gb major rests on Gb, while Db Mixolydian starts on Db and resolves there.
You may also run into C# Mixolydian. It sounds the same but is spelled with 6 sharps instead. Both are valid; which one a chart uses usually depends on the keys around it.
Stack every other note of the scale and you get these triads (three-note chords) and seventh chords:
Notice the home chord is Db7, not Dbmaj7. That bluesy 7th is built into the tonic itself. Two other chords carry the flavor too: the five chord is minor (Abm, holding Cb), and you get a major chord on the lowered 7th, Cb. In plain Db major, neither would be there.
Try this progression: Db - Cb - Gb - Db. That I - bVII - IV - I move is a classic rock and roll sound. The Cb chord steps down from home, the Gb lands softly, and Db feels like walking back through your own front door. Loop it for a few minutes and hum over the top.
In major, the 7th is a magnet that pulls up to the root. In Mixolydian, Cb has no such urge. It's happy to sit, to slide down to Bb or Ab, or to bounce back up to Db with a shrug rather than a tug. That relaxed attitude is what gives the mode its easygoing, jam-friendly quality.
Singers and horn players get a lot of mileage out of sitting on the 3rd (F) for brightness, then dipping to Cb for grit. Songwriters can write a hook that circles Ab, Bb and Cb before falling to Db, and it will sound earthy instead of sweet. Listen for that contrast: F says major, Cb says blues.
Find Db on the low E string at fret 9 (and fret 21 higher up), or on the A string at fret 4 (and fret 16). The A-string root at fret 4 is a comfortable place to start: play a Db major shape there, then hunt for Cb on the strings around it. That's the note your fingers will want to skip, so make it the one you aim for.
Hold a Db on the piano or record a drone. Sing up the scale to Bb, then stop and sing Cb against the drone for four slow beats before resolving down to Ab. Then do the same with C natural. Going back and forth between those two notes is the quickest way to hear what this mode is really about.
For the bigger picture, read The Mixolydian Mode.