Final answer:
Music written in divisions and subdivisions of two, four, and eight bars traditionally refers to Common Meter, which fits with the patterns of stressed and unstressed syllables found in certain poetry and songs.
Step-by-step explanation:
The type of music that is normally written in divisions and subdivisions of two, four, and eight bars is Common Meter. Common Meter, sometimes also referred to as ballad meter, often aligns with the structure of poems and songs with alternating lines of iambic tetrameter and iambic trimeter. This pattern of stressed and unstressed syllables and the organization of verses into regular measures or bars makes the music predictable and easy to follow, suiting various styles from hymns to folk music. While other musical genres such as classical music, jazz, and the blues can also include structured measures, it is the Common Meter that traditionally employs the specific subdivisions you described.