(a) Pedal---------pedal---------pedal---------pedal---------pedal---------pedal--------pedal---------pedal
(b) __________ticktickticktickticktickticktick____________________ticktickticktickticktickticktick____
It's definitely not cable or shoelace or other "foreign" stuff hitting the bike parts. Seems coming from right side rear, maybe rear derailleur or wheel?
P.S. Maybe the closer characterization of the tick sound is it's like the sound when you pedal backward. (which is similar to the cruising sound)
maybe free wheel body is messed up? Based on your decribed pedaling cadence, it's not your bottom bracket.
Does the noise happen if you back pedal?
Does the back pedaling when the ticking starts, stop the noise?
Are you using double walled rims with a cavity? I had a deep V rim that had debris trapped in the V that made a ticking noise.
-Diagnosing ticks can be a bugger.