Big Machine

I have a mild obsession with the novels of Victor LaValle, including his 2009 novel Big Machine, several editions of which feature cover art of a spiraling line, including the audio edition I enjoyed. I often name puzzles as the last step, but in this case I started with the title and set the puzzle “inspired by” the cover art.

Rules:
Normal Sudoku rules apply.
Any three adjacent digits along a thick peach line include one low digit (1,2,3), one medium digit (4,5,6), and one high digit (7,8,9).
Cells separated by a white dot contain consecutive digits. Not all dots are given.

Estimated difficulty: 1.5 out of 5