The day was divided into two separate sessions, both held in Abbey Road's Studio Two. The first took place from 4-9pm, and the second from 10pm to 2am.
Two reduction mixes of take 10 combined the instruments but kept Lennon's vocals only in the chorus. These mixes were numbered takes 11 and 12, and the latter became the basis for further overdubs.
During the second session Lennon recorded a piano part and George Martin added harmonium, both on the same track. The fourth track of the tape would be filled on 18 July 1968.
As a sidenote, this was balance engineer Geoff Emerick's final session with The Beatles until April 1969, excepting a sole stereo mixing session at the end of October 1968. Emerick had grown tired of the The Beatles' arguments while recording the White Album, and handed in his notice at the end of the session after walking out of the studio.
I lost interest in the White Album because they were really arguing amongst themselves and swearing at each other. The expletives were really flying. There was one instance just before I left when they were doing Ob-La-Di, Ob-La-Da for the umpteenth time. Paul was re-recording the vocal again and George Martin made some remark about how he should be lilting onto the half-beat or whatever and Paul, in no refined way, said something to the effect of 'Well you come down and sing it'. I said to George [Martin] 'Look, I've had enough. I want to leave. I don't want to know any more.' George said 'Well, leave at the end of the week' - I think it was a Monday or Tuesday - but I said 'No, I want to leave now, this very minute'. And that was it.
I went down to the studio to explain it to the group and John said 'Look, we're not moaning and getting uptight about you, we're complaining about EMI. Look at this place, Studio Two, all we've seen is bricks for the past year. Why can't they decorate it?' Admittedly the studio did need smartening up a little bit but I knew this was just an outlet for a bigger problem. They were falling apart.
The Complete Beatles Recording Sessions, Mark Lewisohn