Establish a tempo, which is often a slow to moderate beat. Practice tapping your hand on your knee to find the steady rhythm.
Decide on the lyrics. Either locate the desired song lyrics online or write your own. The lyrics can be nonsensical or random sounds and syllables. Military cadences are often entertaining as a way to encourage troops during long marches. Lullabies can be a series of hums in a specific tune.
Determine the notes. Some popular cadence tunes are located online. Alternatively, the singer can choose a simple notation, comprised of about three to six notes. A common form is three or four notes sung in succession, and the last note is the highest at four or five steps above the first note. The second phrase will repeat the first three or four notes, and the last note will be the same as a first. This encourages a call and response technique, which is an effective way to utilize the singsong form.
Compile the tempo, lyrics and notes. Tap your hand for a few beats to determine the rhythm, and begin singing on the downbeat. Sing the notes without inflection -- droning without enthusiasm. Invite friends to sing along with you, once you feel comfortable with your singsong cadence.