That set of pitches is called the harmonic series.
The range of different trumpets. The fundamental is technically playable on a trumpet or trombone, but not in context, as it is extremely difficult Practical experiment has shown that they function in a quite different way, namely as nodal vents, raising the harmonic series by a fifth when the appropriate hole is uncovered for a given length of crook. Playing piccolo trumpet. This continues successively upwards. Number 1 is the fundamental and all the successive harmonics are derived from this. A column of air inside a tube (e.g., a brass instrument) can produce a certain set of pitches when excited by a vibration (e.g., buzzing your lips into the end). Number 1 is the fundamental and all the successive harmonics are derived from this. Unlike the modern trumpet, the natural trumpet could only play pitches in the natural harmonic series. These harmonic series are for a brass instrument that has a "C" fundamental when no valves are being used - for example, a C trumpet. Thus, in E (without crooks), vent I, nearest the player, Information: Natural Harmonic Series: Below are the notes of the natural harmonic series (or partials) for a trumpet. If you’re a brass player, you’ve probably already learned it. A natural trumpet in D (whose length is shorter) plays the same series, but one tone higher. When a trumpet plays a given note, all of the upper notes of that note’s harmonic series are present in the vibrating column of air, though they are not necessarily sounding. A column of air inside a tube (e.g., a brass instrument) can produce a certain set of pitches when excited by a vibration (e.g., buzzing your lips into the end). trumpet, trombone), the second harmonic is the lowest playable note. That set of pitches is called the harmonic series. Period Instruments: Period brass instruments are mostly 'Natural' in that they can play only the notes of the natural harmonic series (the open notes on a modern trumpet). Information: Natural Harmonic Series: Below are the notes of the natural harmonic series (or partials) for a trumpet. Figure 3: These harmonic series are for a brass instrument that has a "C" fundamental when no valves are being used - for example, a C trumpet. Period Instruments: Period brass instruments are mostly 'Natural' in that they can play only the notes of the natural harmonic series (the open notes on a modern trumpet). Remember, there is an entire harmonic series for every fundamental, and any note can be a fundamental. On a typical brass instrument: trombone, trumpet, tuba, you play what’s usually the lowest note for most folks (the pedal tone) using open valves (trombone first position). Figure \(\PageIndex{3}\): : These harmonic series are for a brass instrument that has a "C" fundamental when no valves are being used - for example, a C trumpet. ... For cylindrical bore brass (e.g. For this reason, instrument makers before the invention of valves made trumpets of a longer length so that more notes in the series could be used. You just have to find the brass tube with the right length.