Final answer:
A poetic form that counts syllables but doesn't stress them is known as free verse; the haiku is an example.
Step-by-step explanation:
A poetic form that only focuses on counting the syllables in a line without concern for where things are stressed is known as free verse.
This form does not adhere to any specific meter pattern, which means that it does not have a regular pattern of stressed and unstressed syllables like other forms of poetry that follow a fixed meter.
An example of a syllable-based poetry form that ignores meter is the haiku, a Japanese form characterized by three unrhymed lines with a syllable count of 5-7-5, traditionally concerning nature.