I'm interested in how people think about this song. Key centers or anything else that simplifies the thought process.

1235 patterns
encircling of thirds
guidetone lines

you might have to elaborate but it sounds like what i do when i improvise. (i pick a song, find the chord progression and go from there.

Here's a link to Coltrane's solo neatly written out, he's outlining the changes very accurately:

He's mostly doing arpeggios, or that 4 note motif he was fond of: 1-2-3-5 or some pentatonic variation of it (5-3-2-1) (5-6-9-10). He also uses bits of scale passages. It's very similar to his Giant Steps and Countdown solos, but I recall those use more enclosures. McCoy solos look similar.

http://www.brucesaunders.com/MomentsNoticeTranesolo.pdf

I've been spending quite a bit of quality time with this tune lately - moderately slow tempo, trying to discover pivot tones (common tones), trying to avoid patterns as much as I can (as much as I love Coltrane's solo). I'll let you know how it comes out in a couple of years !

Why would you try to "avoid patterns" ? Lines are shapes (and patterns are shapes that outline the chords). What do you mean then by "common tones"? Practice/analyze this and then mess it all up. That's when the fun starts:

http://www.brucesaunders.com/MomentsNoticeTranesolo.pdf

Jazz+, I mean tones that can be held across the barline through a chord change. I'm basically trying to insure that I hear things, instead of relying on scale or chord knowledge (in the visual pattern sense and/or finger pattern sense)......which may be for naught when I start practicing in tempo(!)

Hey, great website, transcriptions......