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I PROPOSE here to discuss briefly the higher or advanced technique of piano playing as is to be found in the study of Thirds, Sixths and Octaves. Of course this is really a highly complicated subject about which innumerable things and treatises have been written without nearly exhausting all the material for discussion to which it gives rise. But the few remarks that I am going to make now are chiefly intended for the practical help of working students, and I shall confine myself more or less to explaining one or two of the methods which I personally find useful in mastering the difficulties that occur in these complex stages of virtuosity. For as modern pianoforte technique requires great development of double note playing and such-like independence of the fingers, so it must be the aim of every student to discover the easiest and shortest cuts which may bring him to proficiency in this branch of his art.