What is the name for punctuation marks such as commas and periods that separate things like clauses or sentences?

Solution 1:

Are you familiar with proofreading shorthand, a.k.a. editing marks? The figure below contains a small sampling of standard notations:

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If you want to be more elaborate – such as when you want to express, "You need a comma or period here," – that may call for some inventiveness. For example, you could use something like:

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Or, you could be even more general than that – I think this would do the trick:

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I realize this doesn't answer your original question (looking for generic word such as delimeter), but it might solve your problem nonetheless.