Bilingual edition: English is preserved and Chinese follows each unit. Terminology uses the confirmed v20260916 glossary; automated semantic review remains traceable.
中英双语版:英文原文完整保留,中文紧随对应单元;术语采用 v20260916 确认表,自动语义审校结果可追溯。

The Timpani

定音鼓

The timpani has a round head stretched over a sealed enclosure. The tension may be altered by means of a footpedal which actuates tensioning elements.

定音鼓的鼓面是一个圆形的鼓面,覆盖在封闭的共鸣箱上。可以通过脚踏板来调节张力。

The choice of striking point emphasizes the preferred modes of the circular membrane. The sounded frequencies are further influenced by the enclosed air cavity.

击点的选择强调了圆膜片的优选振动模式。发出的频率进一步受到封闭空气腔体的影响。
Timpani details
定音鼓细节
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Timpani Details

低音鼓细节

The round head of a timpani can vibrate in a large number of vibrational modes. The fundamental is not generally used in music; it is highly damped and does not produce as pleasing a sound as some other modes. When the head is struck a few inches from the rim, the timpani's fundamental mode is not excited. The player tries to excite the preferred modes 11, 21, 31, 41, 51, 61 . The head is struck about halfway to three quarters of the way out from the center. This is near the nodal line of several of the modes which minimizes their contribution to the sound. The actual sounded frequencies are further affected in a significant way by air damping to finally produce the sequence of frequencies actually heard from the instrument.

定音鼓的鼓面可以振动出许多种振动模式。基频通常不用于音乐;它被强烈阻尼,产生的声音不如其他某些模式那么悦耳。当鼓面被击打在离边缘几英寸的位置时,定音鼓的基频模式不会被激发。演奏者试图激发首选的模式11、21、31、41、51、61。鼓面被击打在离中心点约一半到四分之三的位置。这接近几个模式的节点线,从而最小化这些模式对声音的贡献。实际发出的频率还受到空气阻尼的显著影响,最终产生从乐器发出的实际频率序列。

By contrast, the snare drum is struck in the center and only excites the 01, 02, 03, modes (Sundberg, The Science of Sounds p91)

相比之下,定音鼓是在中心敲击的,只激发01、02、03这些模态(Sundberg, The Science of Sounds p91)

The pedal connects to the lugs which control the tension in the membrane. Early timpani had calfskin heads. Modern timpani heads are usually made of mylar.

踏板连接到控制膜片张力的铆钉。早期的定音鼓鼓面使用的是牛皮。现代的定音鼓鼓面通常由我的尔(Mylar)制成。
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Musical instruments
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Sounding Frequencies, Timpani

鼓声频率,定音鼓
The timpani sound involves the vibrational modes of a circular membrane, but the technique of playing specifically excites the preferred modes of the membrane. These are further affected by air damping, which finally leads one to the set of frequencies which are actually produced by the instrument. An actual set of frequencies is reported by Benade for an instrument which is tuned to C3 (130.8 Hz).
Mode
模式
Theoretical
Ratio
理论比值
Measured
Ratio
测量比值
P
1.00
1.00
(130.8 Hz)
Q
1.35
1.504
R
1.67
1.742
S
1.99
2.00
T
2.30
2.245
U
2.61
2.494
V
...
2.800
W
...
2.852
X
...
2.979
Y
...
3.462
From Benade, Ch 9, p143-144. Measured timpani of Cloyd Duff of Cleveland Orchestra
来自Benade,第九章,第143-144页。Cloyd Duff的明尼苏达鼓的测量数据
It is remarkable that the tones actually produced include the musical intervals of a fifth and octave above the fundamental (P, Q, S). Also note that with respect to C2 (65.4 Hz) the resonances form a harmonic sequence up to the 7th harmonic (P=2, Q=3, S=4, U=5, X=5.96, Y=6.92). The missing fundamental effect might then give you the pitch C2 for the instrument.
值得注意的是,实际产生的音调包括基频上方五度和八度的音乐音程(P, Q, S)。另外请注意,相对于C2(65.4 Hz),共振形成一个谐波序列,直到第七谐波(P=2,Q=3,S=4,U=5,X=5.96,Y=6.92)。缺失基频效应可能使你将该乐器的音调感知为C2。
定音鼓的声音涉及圆膜的振动模式,但演奏技巧会特别激发膜的主导振动模式。这些模式进一步受到空气阻尼的影响,最终导致乐器实际发出的频率集合。Benade 对一个调音至 C3(130.8 Hz)的乐器的实际频率集合进行了报告。
Index

Percussion instruments

Musical instruments

Reference
Benade
索引 percussion乐器 音乐乐器 参考 Benade
 
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