When playing through the harmonic series, the second overtone (a twelth above the fundamental) is a great check point. When students begin learning harmonics, this one often proves elusive because of the tendency to cover too much of the embouchure hole. By rolling out a bit and blowing down, it usually speaks. The following exercise I find useful because it begins by alternating between the normal fingerings and the harmonic fingerings. For those new to harmonic exercises, it provides a good anchor.
The next page gives a workout for the lips, and introduces articulation to harmonics, although it is also useful to practice legato in bars 13 to 38. I find articulation exercises with harmonics, such as those in Trevor Wye’s book, to be great stabilizers and strengtheners for the embouchure.
Continuing with articulation, I am further inspired by Paul Edmund-Davies’ “The 28 Day Warm Up Book”. His articulation exercises are a mainstay of my warm up, and I decided to go one further and translate some into harmonic exercises. (Read my review of this book here.) This first exercise strengthens the elusive second overtone:
This next one overblows the third overtone. It is for those already strong in this area; please don’t over do it, or any of these exercises. It is useful to combine these variations with Edmund-Davies’ original.