Albera Roberto, Urbanelli Anastasia, Lucisano Sergio, Aprigliano Alessandra, Morando Luca, Amoroso Antonio, Alexeev Maxim, Albera Andrea
Otorhinolaryngology Unit, Department of Surgical Sciences, University of Turin, Via G. Verdi, 8, 10124, Turin, Italy.
Department of Physics, University of Turin, Turin, Italy.
Sci Rep. 2025 Apr 24;15(1):14295. doi: 10.1038/s41598-025-89454-7.
Musical signals are complex periodic waveforms characterized by the sum of different frequencies. In a harmonic complex tone, the lowest frequency is called fundamental frequency (f0), while the other frequencies are called harmonics, and their frequencies are integer multiples of the fundamental. The perceived pitch of a sound is correlated with the fundamental frequency, even though it may be impossible to hear f0 in many situations. In these cases, it is possible to identify the pitch based on the upper consecutive harmonics. This study aimed to evaluate the identification of the notes based on the presence of consecutive harmonics only and to determine the importance of their distance from the fundamental frequency. The study was carried out on 30 normally hearing amateur musicians without perfect pitch. The acoustic signal was characterized by the association of four consecutive and two consecutive harmonics of the middle region notes of the piano keyboard. The correct identification rate ranged between 8 and 100%, with better identification occurring when more harmonics and lower frequencies were present. The results confirm that it is possible to identify a note solely based on the presence of harmonics near the fundamental frequency, especially if it is under 2000 Hz.
音乐信号是由不同频率之和所表征的复杂周期性波形。在谐波复合音中,最低频率称为基频(f0),而其他频率称为谐波,它们的频率是基频的整数倍。声音的感知音高与基频相关,尽管在许多情况下可能听不到f0。在这些情况下,可以根据较高的连续谐波来识别音高。本研究旨在评估仅基于连续谐波的存在来识别音符,并确定它们与基频距离的重要性。该研究对30名没有绝对音高的正常听力业余音乐家进行。声学信号的特征是钢琴键盘中部区域音符的四个连续谐波和两个连续谐波的组合。正确识别率在8%到100%之间,当存在更多谐波和更低频率时,识别效果更好。结果证实,仅根据基频附近谐波的存在就有可能识别一个音符,特别是当频率低于2000赫兹时。