As always, I strongly suggest listening to this track before watching my music theory analysis video (if you are not already familiar with it).
For your convenience, I have pulled the sheet music, chord charts, and any other especially salient diagrams from the analysis and posted them below.
1: Verse (1/2) Initial melody. Modulations as gradually flattening key.
2: Verse (2/2) Alternate, chromatic melody. Modulations as gradually flattening scale.
3: Bridge (1/2) Modulations as quickly sharpening key (using 'Billy Shears' progression).
4: Bridge (2/2) Clearly established key and chord functions, unusual ♯iv chord analogous to tritonal chord changes in verse.