Final answer:
Pure hard bop blended with blues and gospel music is known as soul jazz, characterized by its groove-oriented, danceable sound, and often features instruments like the Hammond organ.
Step-by-step explanation:
The style of jazz that blended pure hard bop with more blues and gospel music is sometimes referred to as soul jazz. This genre emerged in the mid-1950s to the early 1960s and was a development of hard bop with influences from blues, gospel and rhythm and blues, which created a groovy, danceable sound. Soul jazz often incorporated the use of Hammond organ, creating a rich, vibrant texture that complimented the deeply emotional and soulful feel of the music.
In comparison, cool jazz is known for its relaxed and subdued approach, fusion is a blend of jazz with other styles such as rock, and modal jazz utilizes musical modes rather than chord progressions as a harmonic framework. Therefore, the correct answer to the question is d) Soul jazz.