A type of homophony in which all voices move together in the same rhythm is called Homorhythm.
A type of homophony that employs the same rhythms across all the voices or parts. when used with text, the words are the same in all voices and pass together in the equal rhythm and often called chordal declamation. this is a device nevertheless used today in hymns.
Homorhythm is a sort of homophonic texture in which all voices flow in an extremely similar or completely unison rhythm. that is most often visible in chorale-like compositions, wherein the melody and harmonies move together in block chords .In track, homorhythm (also homometer) is a texture having a "similarity of rhythm in all components" or "very similar rhythm" as might be used in simple hymn or chorale settings. Homorhythm is a situation of homophony. All voices sing the equal rhythm. This texture effects in a homophonic texture, which is a blocked chordal texture. Homorhythmic texture delivers lyrics with clarity and emphasis. Texture in which parts have special rhythms is heterorythmic or heterometric.
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I think the answer is the Baroque Convention
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