[Illustration: From Capt. C. R. Day's _Descriptive Catalogue of Musical Instruments_, by permission of Messrs. Eyre & Spottiswoode.
Pipes of such short length give only, besides the first or fundamental, the second and sometimes the third note of the harmonic series. Thus a pipe that has for its fundamental A will, if the pressure of breath and tension of the lips be steadily increased, give the octave A and the twelfth E. In order to connect the first and second harmonics diatonically, the length of the pipe was progressively shortened by boring lateral holes through the tube for the fingers to cover. The successive opening of these holes furnished the instrumentalist with the different intervals of the scale, six holes sufficing for this purpose:
The fundamental was thus connected with its octave by all the degrees of a diatonic scale, which became chromatic by the help of cross-fingering and the greater or less tension of the lips stretched as vibrating reeds across the opening of the mouthpiece. This increased compass of twenty-seven notes obtained by cross-fingering is very clearly shown in a table by Eisel.[2] The fingering was completed by a seventh hole, which had for its object the production of the octave without the necessity of closing all the holes in order to produce the second note of the harmonic series. The first complete octave, thus obtained by a succession of fundamental notes, was easily octaved by a stronger pressure of breath and tension of the lips across the mouthpiece, and thus the ordinary limits of the compass of a _Zinck_ or cornet could be extended to a fifteenth. Whether straight or curved it was pierced laterally with seven holes, six through the front, and the seventh, that nearest the mouthpiece, through the back. The first three holes were usually covered with the third, second and first fingers of the right hand, the next four with the third, second and first fingers and the thumb of the left hand. But some instrumentalists inverted the position of the hands. Virdung[3] shows, besides the _cornetto recto_, a kind of _Zinck_ made of an animal's horn with only four holes, three in the front of the pipe and one at the back. Such an instrument as this had naturally a very limited compass, since these four holes only sufficed to produce the intermediate notes between the second and third proper tones of the harmonic scale, the lower octave comprised between the first and second remaining incomplete; by overblowing, however, the next octave would be obtained in addition.