This paper gives a straightforward method of obtaining an explicit expression for the spectrum of a correlative encoded digital FM signal. An investigation of the band occupancy for various encoding schemes with rectangular, as well as raised-cosine pulse shaping, is carried out. Correlative encodings that are spectrally more efficient than minimum shift keying (MSK) and that promise an improved error performance are shown. In addition, if a small degradation in error performance is tolerated, substantial increases in band efficiency are possible. For example, with the polynomial

the signal is spectrally 47 percent more efficient than MSK and with an SNR performance degradation of only 1.1 dB.