The signature of fifths is a special kind of music representation technique enabling acquisition of musical knowledge. The technique is based on geometrical relationships existing between twelve polar vectors inscribed in the circle of fifths, which represent individual pitch-classes detected in a given composition. In this paper we introduce a real-time key-detection algorithm which utilizes the concept of the signature of fifths. We explain how to create the signature of fifths and how to derive its descriptors required by the algorithm, i.e., the main directed axis of the signature of fifths, the major/minor mode axis, the characteristic vector of the signature of fifths, the characteristic angle of the signature of fifths, and the angle of the major/minor mode. We performed a series of experiments to test the algorithm’s effectiveness. The results were compared with those obtained using key-detection approaches based on key-profiles. All experiments were conducted using works composed by J.S. Bach, F. Chopin, and D. Shostakovich. The distinctive features of the presented algorithm, with respect to the considered key-detection approaches, are computational simplicity and stability of the decision-making process.

Paulina Kania

Dariusz Kania

Tomasz Łukaszewicz

Archives of Acoustics

声学档案，同行评审的季刊发表来自声学所有领域的原始研究论文，如：声学测量和仪器、音乐声学、声光、建筑、建筑和环境声学、生物声学、电声学、线性和非线性声学、噪声和振动、声音的物理和化学效应、生理声学、心理声学、量子声学、语音处理和通信系统、语音产生和感知、换能器、超声波、水下声学。

The Archives of Acoustics is a peer-reviewed quarterly journal that publishes original research papers from all areas of acoustics. Topics covered include acoustic measurement and instrumentation, musical acoustics, acousto-optics, architectural acoustics, environmental acoustics, bioacoustics, electroacoustics, linear and nonlinear acoustics, noise and vibration, physical and chemical effects of sound, physiological acoustics, psychological acoustics, quantum acoustics, speech processing and communication systems, speech production and perception, transducers, ultrasound, and underwater acoustics.

《Archives of Acoustics》是一本同行评审的季刊，发表来自声学各个领域的原创研究论文。涵盖的主题包括声学测量与仪器、音乐声学、声光学、建筑声学、环境声学、生物声学、电声学、线性与非线性声学、噪声与振动、声音的物理与化学效应、生理声学、心理声学、量子声学、语音处理与通信系统、语音产生与感知、换能器、超声波以及水下声学等。

Category	Quartile
物理与天体物理	4
物理与天体物理, 声学	4

A Real-Time Key-Finding Algorithm Based on the Signature of Fifths

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