And by syncopation I meant simply an eighth note plus a dotted quarter note like this
If I surround the syncopation by rests one can see that there are 3 possible positions for the syncopation
In order to find out how to fill the remainder of the measure I replaced the rests by quarter notes.
Now comes the interesting bit: the quarter notes can be combined with itself and with parts of the syncopation (of course dependent of the position of the syncopation). Each possible combination has been denoted by a dashed tie in the image below.
Let's look at the first measure with the syncopation at the beginning. There are two possible ties, each tie can be there or not. Simple mathematics will tell you that there are four possibilities altogether how to construct a rhythm.
Here are the four variations in the order:
Since syncopations are used to break up an otherwise monotonous beat focused rhythm these variations show the bandwidth. Some of the rhythms (the ones without any ties where the quarter notes are the beginning or end) are still very beat centric whereas others show a - what I would call - pushing or pulling quality, exactly what the syncopation is trying to achieve.
To find out which one of these one likes best it is ideal to play them multiple times in a row, then the feeling develops.
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