Svec J G, Schutte H K, Miller D G
Centre for Communication Disorders, Medical Healthcom, Ltd., Prague, Czech Republic.
J Acoust Soc Am. 1999 Sep;106(3 Pt 1):1523-31. doi: 10.1121/1.427149.
The paper offers a new concept of studying abrupt chest-falsetto register transitions (jumps) based on the theory of nonlinear dynamics. The jumps were studied in an excised human larynx and in three living subjects (one female and two male). Data from the excised larynx revealed that a small and gradual change in tension of the vocal folds can cause an abrupt change of register and pitch. This gives evidence that the register jumps are manifestations of bifurcations in the vocal-fold vibratory mechanism. A hysteresis was observed; the upward register jump occurred at higher pitches and tensions than the downward jump. Due to the hysteresis, the chest and falsetto registers can be produced with practically identical laryngeal adjustments within a certain range of longitudinal tensions. The magnitude of the frequency jump was measured as the "leap ratio" F0F:F0C (fundamental frequency of the falsetto related to that of the chest register) and alternatively expressed as a corresponding musical interval, termed the "leap interval." Ranges of this leap interval were found to be different for the three living subjects (0-5 semitones for the female, 5-10 and 10-17 for the two males, respectively). These differences are considered to reflect different biomechanical properties of the vocal folds of the examined subjects. A small magnitude of the leap interval was associated with a smooth chest-falsetto transition in the female subject.
本文基于非线性动力学理论,提出了一种研究胸声 - 假声区突变(跳跃)的新概念。在离体人类喉部以及三名活体受试者(一名女性和两名男性)身上对这种跳跃现象进行了研究。来自离体喉部的数据表明,声带张力的微小逐渐变化会导致声区和音高的突然变化。这证明了声区跳跃是声带振动机制中分叉现象的表现。观察到了滞后现象;向上的声区跳跃发生时的音高和张力高于向下跳跃时的情况。由于滞后现象,在一定纵向张力范围内,胸声区和假声区可以通过几乎相同的喉部调节产生。频率跳跃的幅度被测量为“跳跃比”F0F:F0C(假声区的基频与胸声区的基频之比),也可表示为相应的音乐音程——“跳跃音程”。发现三名活体受试者的这个跳跃音程范围不同(女性为0 - 5个半音,两名男性分别为5 - 10个半音和10 - 17个半音)。这些差异被认为反映了受试对象声带不同的生物力学特性。女性受试者的跳跃音程幅度较小与胸声 - 假声的平滑过渡相关。