The adjective strophic describes a poem that uses the same structure for all its stanzas — the same rhyme scheme, meter, and number of lines. A song is strophic if all its verses are sung to the same musical melody.
In modern poetry, a strophe is a stanza — a block of lines forming a distinct section of a poem. Strophic poems, such as ballads, are arranged in groups of lines forming distinct sections, often with repeated structural patterns. Strophic songs, such as hymns, carols, many folk songs, and children's songs, have verses that are sung to the same music, although the words change with each repetition — think "Old Macdonald Had a Farm."