Certainly. Here is a summary of the music styles for each artist:

The Doors: The Doors are an American rock band formed in 1965. Their music was psychedelic rock, hard rock and acid rock. They are known for hits like "Light My Fire", "Hello, I Love You" and "Riders on the Storm".  

Porcupine Tree: Porcupine Tree is an English rock band formed in 1987. They play psychedelic prog rock, experimental rock and psychedelic metal. They are known for conceptual albums like "Fear of a Blank Planet" and "The Incident".

King Crimson: King Crimson is an English rock band formed in 1969. They are pioneers of progressive rock and jazz fusion. They experiment with  a wide range of musical styles including jazz fusion, heavy metal and psychedelic rock.   

Jethro Tull: Jethro Tull is an English rock band formed in 1967. Their main genres are  hard rock and progressive folk. They use flutes, guitars, bass and drums to create their signature progressive folk rock sound.

As for a playlist, I would suggest the following songs in this order:

1. Light My Fire - The Doors
2. 21st Century Schizoid Man - King Crimson    
3. Aqualung - Jethro Tull
4. Still Life - Porcupine Tree
5. Epitaph - King Crimson
6. Sylvia Plath - Porcupine Tree

Does that sound suitable? I can modify or generate an alternate playlist if you'd like.
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