compared to the trumpet's more cylindrical tube. This, along with additional bends in the cornet's tubing, gives the cornet a slightly mellower tone, but the instruments are otherwise nearly identical. They have the same length of tubing and, therefore, the same pitch, so music written for cornet and trumpet is interchangeable. Another relative, the flugelhorn, has tubing that is even more conical than that of the cornet, and an even richer tone. It is sometimes augmented with a fourth valve to improve the intonation of some lower notes. Playing Fingering On any modern trumpet, cornet, or flugelhorn, pressing the valves indicated by the numbers below produces the written notes shown. "Open" means all valves up, "1" means first valve, "1–2" means first and second valve simultaneously, and so on. The sounding pitch depends on the transposition of the instrument. Engaging the fourth valve, if present, usually drops any of these pitches by a perfect fourth as well. Within each overtone series, the different pitches are attained by changing the embouchure. Standard fingerings above high C are the same as for the notes an octave below (C is 1–2, D is 1, etc.). Each overtone series on the trumpet begins with the first overtone—the fundamental of each overtone series cannot be produced except as a pedal tone. Notes in parentheses are the sixth overtone, representing a pitch with a frequency of seven times that of the fundamental; while this pitch is close to the note shown, it is flat relative to equal temperament, and use of those fingerings is generally avoided. The fingering schema arises from the length of each valve's tubing (a longer tube produces a lower pitch). Valve "1" increases the tubing length enough to lower the pitch by one whole step, valve "2" by one half step, and valve "3" by one and a half steps. This scheme and the nature of the overtone series create the possibility of alternate fingerings for certain notes. For example, third-space "C" can be produced with no valves engaged (standard fingering) or with valves 2–3. Also, any note produced with 1–2 as its standard fingering can also be produced with valve 3 – each drops the pitch by steps. Alternate fingerings may be used to improve facility in certain passages, or to aid in intonation. Extending the third valve slide when using the fingerings 1–3 or 1-2-3 further lowers the pitch slightly