I would like to split something into three parts. Is there a phrase I can use with similar overtones to "cleave in twain"?
Answer
As far as meaning goes, you can use "cleave in three" or "cleave in thirds". More obscure and inexact is "cleave in terciles" or tertiles. The latter two words are statistical terms referring to "three [ordered] parts, each containing a third of the population" and "any one of the three groups so divided".
The rationale for "cleave in three" and "cleave in thirds" is that twain means two. In its etymology we find it " survived as a secondary form of two" in various cases, and also "in oral use where it is necessary to be clear that two and not to or too is meant."
Regarding other suggestions: My understanding of the many senses of tierce is that while all of them are related to the number three, none of them would make any sense in a phrase like "*cleave in tierce". Trey means "a playing card with the rank of three" or "a score of three in cards, dice, or dominoes".
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