Take a look at the image below:
You might have recognized instantly that the top staff is a notation of straight/even eighths, and that the third staff is of a triplet swing rhythm. Also, you might have figured-out that the last staff at the bottom is a “jagged” and pretty square swinging rhythm.
But what about the second staff??
That is the approximate (and that term is used VERY loosely) of a “half-swing” feel that is roughly in between the straight eighths and common triplet swung eighths.
Be aware; this is a feel for a performer to play. While the notion is good for programming purposes in a DAW, do not ever give someone a piece of sheet music written this way. Simply indicate this feel to a performer, or learn it yourself. You might be surprised as to hose loose and flowing it really is for your composition.
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