stichomythia
Concise Oxford English Dictionary © 2008 Oxford University Press:
stichomythia /ˌstɪkə(ʊ)ˈmɪθɪə/
▶noun dialogue in which two characters speak alternate lines of verse, used as a stylistic device in ancient Greek drama.
– origin C19: mod. L., from Gk stikhomuthia, from stikhos ‘row, line of verse’ + muthos ‘speech, talk’.
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