System and method for synchronizing frequency hopping transmitters, receivers, transceivers, repeaters and other radio networks

A method of synchronizing frequency hopping transmitters, receivers, transceivers, repeaters and other radio networks utilizing non-coordinated shared frequencies within regional, US and international ISM (Industrial, Scientific and Medical) bands comprising:

• synchronizing communications between at least one transmitting and at least one receiving device utilizing a pool of frequencies consisting of a first group of frequencies being assigned to transmit for a specific duration per frequency per transmission and a second group of frequencies in which the total number of frequencies is a paired first factor of the first group's total number of frequencies or a paired first factor of any factor of the first group's total number of frequencies and which is then divided into transmit slots, a transmit duration of said second group of frequencies being a fraction of said specific duration of transmission of said first group of frequencies and also being the corresponding paired second factor of the first groups total number of frequencies or a corresponding paired second factor of a factor of the first group's total number of frequencies according to which product was chosen to calculate the first factor.