: Name for this non-chord tone: approach by step then leap in the same direction Is there a name for the non-cord tone that is described as: an approached by step and then a leap in the same direction? As in (suppose the key

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I would be inclined to call it an incomplete neighbor unless there is a more convincing interpretation given context (for example, a 5-6 exchange).
Let's take your example, for instance.

Now take a look at the following:

You can see how in this example, the G does resolve back to the F. In both your example and this modified example, the G is acting as a neighbor tone to the F, but in the case of the former, the dissonance is unresolved. This is considered an incomplete neighbor.
Music isn't so black and white however. A slight modification to your example:

Is this still an incomplete neighbor? You could reasonably argue that yes, it is. However, it could instead be interpreted as a 5-6 exchange, a common paradigm during the common practice period, and I think that feels like a more convincing interpretation. Neither analysis is wrong per se, but one could argue that one is more convincing than the other.