Circuit for signal generation

Guys i want to generate the signals as attached in the files below.
Can anybody give me the circuit. It can be using gates or microcontroller.

Probably a simple microcontroller and a little code would be the easiest. It can be done with chips too. For example, the first would just use a 7-bit counter and some decode logic. You can just allow clock pulses to pass till you decode d58, then inhibit the pulses till you decode d60, and then generate a reset.

Edit: I mean 6-bit counter...

Are both pulse trains synchronous to a single external clock?

Yes Mike both pulse trains are synchronous to single external clock.