We all know that in an orchestra, instruments of the same type always sit together, and some even have a very close relationship. For instance, violinists not only sit together but often share a single music stand between two players. However, the situation is drastically different for French horn players. You will notice they sit far apart—sometimes four or five meters—making it look as if they are enemies. In reality, they would like to sit together, but they simply cannot. When two French horns play in close proximity, the players experience a peculiar phenomenon: their pitch becomes impossible to maintain. They encounter uncontrollable fluctuations and bizarre distortions, as if an invisible hand were choking their embouchure, preventing them from producing a stable note.
Violins project sound forward, allowing the players to hear themselves clearly, and their pitch is controlled by fingers, making it relatively stable. When multiple violins play together, their random pitch variations average out according to the Central Limit Theorem. Thus, the more violins there are, the more stable the sound and the better the ensemble effect. The French horn, however, operates on a different system. Its pitch relies on an internal vibration system, and the bell faces backward. This means the sound not only hits the player next to them but also reflects off the wall behind them. If we model multiple horns using scientific methods, we can use the famous Kuramoto model, where the coupling of oscillators leads to interference. As the distance between horns decreases, the coupling strength increases, potentially leading to unstable oscillations. It’s not that the playing becomes harder or that they can’t hear each other; rather, due to aerodynamic reasons, the pitch simply cannot be stabilized.
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