The D# major pentatonic scale is one of the friendliest sounds you can put under your fingers. It has only five notes, it sits comfortably in the middle of the guitar neck, and it is famously hard to make sound wrong. If you want to improvise over a song in D#, or you just want a melodic shape that sounds good straight away, this is a great place to start. Let's get the notes, see where they come from, and get you playing.
Here are the five notes: D#, E#, F##, A#, B#. After B# you arrive back at D#, one octave higher, and the pattern repeats.
Each note has a number that describes its distance from the root (the home note, D# here):
If E#, F## and B# look strange, don't worry. You haven't misread anything, and you don't need any new technique. A sharp (#) raises a note by one fret, and a double sharp (##) raises it by two. So E# is played at the same fret as F, F## at the same fret as G, and B# at the same fret as C. They sound identical; only the name changes.
Why spell them that way? Music theory likes each scale to use one note letter at a time, in order, so D#, E#, F## keeps the letters D, E, F neat and tidy. Because double sharps are awkward to read, most musicians think of this same sound as Eb Major Pentatonic. Same frets, same sound, easier names. If a bandmate calls the key Eb, you're both playing the same thing.
On guitar, a half step (H) is the distance of one fret. A whole step (W) is two frets. The major pentatonic always follows this pattern:
W - W - W+H - W - W+H
Starting from D#:
You can hear this on a single string. On the A (5th) string, play fret 6 (D#), then 8 (E#), 10 (F##), 13 (A#), 15 (B#) and 18 (D# again). Sliding up one string like this is a brilliant way to learn how the scale feels, not just how it looks in a box.
This scale comes from the D# major scale: D#, E#, F##, G#, A#, B#, C##. The pentatonic version simply removes two notes, the 4th (G#) and the 7th (C##).
Those two notes are the ones that sit just a half step away from their neighbours, and half steps create tension, that slightly itchy pull that wants to resolve. Take them out and you're left with a scale that has no half steps at all. Every note sits comfortably against every other note. That's why you can noodle freely and it still sounds musical.
Listen especially for B#, the 6th. It gives the scale its open, almost singing quality, the sound you hear all over country, pop and classic rock lead playing. Try landing on B# and then resolving down to A# or up to D#, and you'll hear that sweet, wide-open flavour instantly.
One more useful fact: B# minor pentatonic uses exactly the same notes. It's the relative minor. Same shapes, same frets; you just treat B# as home instead of D#, and the mood turns darker.
The easiest chords to play this scale over come from the D# major key:
A simple progression to loop is D# - B#m - G# - A#, one bar each. Record it on your phone, or have a friend strum it, and improvise over the top. Over the D# chord, aim for D#, F## or A#, since those notes are in the chord itself and will sound completely settled. You can't really hit a bad note, but those landing spots will make your phrases sound intentional.
Knowing where D# lives makes everything else easier. On a standard-tuned six-string:
The 6th fret on the A string and the 11th fret on the low E string are your two most practical starting points. Build the scale outward from either one, and keep your ear on the root so you always know where home is. When a phrase ends on D#, it will feel finished; when it ends elsewhere, it will feel like it wants to keep going.
Start slowly. Play the single-string version on the A string from fret 6 up to 18 and back, saying the note names out loud. Then loop the D# - B#m - G# - A# progression and spend five minutes making up short phrases, three or four notes at a time, always finishing on D#. Do that for a few days and you'll stop thinking about the scale and start hearing it. That's when the fun really begins.
For the bigger picture, read The Major Pentatonic Scale.