"String Skipping" isn't just for lead-work; it's great for chords 'n' "rhythm playing", too. I'll go over some string-skipping two-note "chords"- intervals, to be more accurate- that imply harmony if you stick to notes within the given key, thus dictating whether some suggest either Major or minor tonalities..
Muting and damping with either hand is important here; if you're a beginner or even intermediate player it can seem hard at first, but in time becomes second-nature to the point that you will literally hardly ever think about it, it'll just autopilot for you! Seriously!
And if you work up some pick-and-finger or pick-less fingerstyle technique to pluck the two strings, you've got yet another way to play 'em; choose from a number of approaches to find what best suits the given piece of music.
Wes Montgomery burned through
serious runs of octaves picking with his thumb,
mostly in downstrokes; he usually did this working his thumb and fingers in an almost pinching, crab-claw motion, with his fingers resting on the guitar's top. He created his own bold new sound playing runs of octaves with that picking technique that everyone's copying to this day, and in the process wore a heart-shaped hole in his favorite guitar where his picking-hand's index and middle finger-tips rubbed against the top (later covered with a little heart-shaped pearl plate).
(See below for some octave fingerings.)That's just one example of technique and approach giving a particular sound and feel; try that, try plucking them simultaneously with fingers and/or nails, try down and/or upstrokes with a pick, try pick-and-fingers... one way will be best for one sound, and another way for yet another sound, etc....
And so, as well as
octaves like-
Code:
-------------------- --------3--5--7--10-
-----------------8-- --3--5--------------
--------5--7--9----- --------------------
--5--7-----------5-- and --------5--7--9--12-
--------3--5--7----- --5--7--------------
--3--5-------------- --------------------
- you can play other sliding 'chord fragment' intervals that skip a string or two to imply (ENFORCE!) harmony, some of which will need to shift one note up or down by a half-step to fit the given key as you motorvate up and down the fretboard with 'em.
For example: Sliding 6ths (which can imply the 5th and 3rd of a chord, or simply be a melodic-line on top, harmonized by the note underneath)
Code:
----------4-------
-4--5--8-----4----
----------4-------
-5--6--8-----5----
------------------
------------------
Take a run of "double-stop"
minor and Major 3rds, ending with a 4th / root-5th-root "power chord"-
Code:
-13--12--10----------------------------------------------
-15--13--11---13--11--10---------------------------------
--------------14--12--10---12--10---9---5--3--2---2-2-2--
---------------------------14--12--10---7--5--3---2-2-2--
----------------------------------------------------0-0--
---------------------------------------------------------
- but then drop the lower-note of each double-stop down one octave, skipping two strings in between-
Code:
-13--12--10----------------------------------------------
--------------13--11--10---------------------------------
---------------------------12--10---9---5--3--2---2-2-2--
-12--10---8---------------------------------------2-2-2--
--------------12--10---8------------------------------0--
---------------------------12--10---8---5--3--1-----0-0--
- and you've got, Iddunno, maybe sliding
#9ths and
##9ths, I guess!

These sound great either briskly strummed with a down-stroke so that the muted strings "click" rhythmically in between the sounded notes, or plucked with thumb and finger or pick-and-fingers in a syncopated rhythm (like "b'DAT b'dat b'dat, b'DAT b'dat b'dat", and so on), and really jump out and kick with a fat but toothy heavy distortion, maybe with some flanger or phaser action; think early Van Halen rhythm-guitar tone on steroids; try the neck-pickup, too. They absolutely
KILL with a Foxrox Octron going into a cranked Marshally distortion!