A common way of creating syncopated rhythms is by using ties. The following example shows a rhythm played in the first bar using eighth notes and a half note. In the second bar, the half note is tied to the last eighth note creating a syncopated rhythm. Once again, count as you play all examples and always use a metronome or drum machine when you practice, as it is essential to develop a good sense of time if you wish to become a good player.
A good way to gain control of syncopated rhythms using ties is to play a scale. After the first note, all notes on the beat are tied, which means each new note occurs off the beat.
Here is an example of a set rhythm using a tie. The rhythm is given first on one note and then as the basis for a melody.
Here are two more syncopated rhythms created by the use of ties. Try making up some of your own. Play them on one note at first and then try improvising with them. Once you are comfortable with one bar rhythms, try some which repeat every two bars.