What do those graduation lines mean though?
In "Corbomite Maneuver" Kirk goes from sickbay to turbolift and then goes up past 30 lines while talking to the bridge and changes his mind to go change.
In "Amok Time" I counted at least 23 on screen lines go by as they go from the bridge to Deck 5 (and there are lots of gaps for more.)
In "Elaan of Troyius", I counted at least 21 lines as they traveled down to Deck 5 and then a bunch more lines as they traveled horizontally.
In "Where No Man Has Gone Before", the lines were very closely spaced together suggesting a different line arrangement.