There are several synonyms for "metrical compositions" which are commonly used in music theory and analysis. One such synonym is "metrical structures," as both terms refer to the organization of musical time into regular, repeating patterns. Another term frequently used is "rhythmic frameworks," which highlights the rhythmic aspect of metrical compositions and their role in structuring musical ideas. Additionally, "time signatures" can be used to refer to metrical compositions, as time signatures indicate the number and duration of beats in a given measure or section of music. Lastly, "metric shapes" can also be used to describe the forms or shapes that arise from the construction and organization of metrical compositions.