Pulse train repetition rate divider that divides by n+1/2 where n is a whole number

Claim 1

A PULSE TRAIN REPETITION RATE DIVIDER THAT DIVIDES BY N+1/2, WHERE N IS A WHOLE NUMBER, COMPRISING A PULSE COUNTER, AN INPUT CIRCUIT CONNECTED TO SAID PULSE COUNTER FOR APPLYING INPUT PULSES THERETO, FIRST MEANS CONNECTED TO THE OUTPUT OF SAID INPUT CIRCUIT AND THE OUTPUT OF SAID COUNTER TO PRODUCE A FIRST OUTPUT SIGNAL ONLY UPON THE TERMINATION OF ONE-HALF OF A PULSE-PERIOD OF SAID INPUT PULSES AFTER SAID COUNTER REGISTERS A FIRST COUNT EQUAL TO N GREATER THAN THE INITIAL COUNT IN SAID COUNTER, SECOND MEANS TO APPLY SAID FIRST OUTPUT SIGNAL TO SAID COUNTER TO RESET SAID COUNTER TO A SECOND COUNT WHICH IS LESS THAN SAID FIRST COUNT BY AN AMOUNT EQUAL TO 2N+1, THIRD MEANS RESPONSIVE TO SAID COUNTER TO PRODUCE A SECOND OUTPUT SIGNAL WHEN SAID COUNTER REGISTERS A THIRD COUNT WHICH IS GREATER THAN SAID SECOND COUNT BY AN AMOUNT EQUAL TO N+1, AND FOURTH MEANS MAKING AVAILABLE SAID FIRST AND SECOND OUTPUT SIGNALS AS THE OUTPUT OF SAID COMBINATION.