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。

Musical scales and temperament

音乐音阶与音律

We have talked about pitch, loudness, and quality for a single tone, but we haven't talked about sequences of tones and what makes them musical. If you sing a simple melody and then sing it higher, you say it is the same melody or "tune", but what is the same about it? This is the area of tuning and temperament and the building up of musical scales.

我们已经讨论了单音的音调、响度和音色,但还没有讨论音符序列以及它们为何能成为音乐。如果你唱一个简单的旋律,然后把它唱得更高,你会说这是同一个旋律或‘调’,但其中有什么是相同的吗?这就是调谐、音律以及音乐音阶构建的领域。

What are the basic assumptions about human pitch perception that underly the buildup of musical scales?

什么是支撑音乐音阶构建的人类音调感知基本假设?

What is meant by "musical interval"?

‘音乐音程’指的是两个音高不同的音之间的关系。

Why are the musical fourth and fifth used for the buildup of musical scales?

为什么四度和五度被用于构建音乐音阶?

Describe the Pythagorean and Just musical scales.

描述毕达哥拉斯音阶和纯律音阶。

How is today's common Equal Temperament scale constructed?

今天常见的等音律是如何构造的?

What is the basis for "cents" notation? What are its advantages?

‘美分’记号的依据是什么?它的优点有哪些?

What is the just noticeable difference in cents?

cents 中的刚刚可察觉的差别是什么?

Describe how the major triad differs between Just, Pythagorean, and Equal Temperament.

描述正义、毕达哥拉斯和等温三种主要三元组之间的差异
*Basic assumptions about pitches

*Musical intervals

*Pythagorean scale

*Just scale

*Equal temperament

*Cents notation

*Advantages of cents

*Just noticeable pitch difference

*Calculation of cents

*Harmonics in cents

*Warmup effect in cents

*Major triad differences

* 关于音调的基本假设 * 音乐音程 * 帕斯卡音阶 * 正音阶 * 等音阶 * 分音记号 * 分音的优势 * 可察觉的音高差 * 分音的计算 * 分音中的泛音 * 分音的温暖效应 * 大三和弦差异
Index
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  HyperPhysics*****Physics 2030K
HyperPhysics ***** 物理学 2030K
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Acoustics of Woodwind Instruments

木管乐器的声学

Summarize the types of air columns used in woodwind instruments.

总结木管乐器中使用的空气柱类型

What is meant by an "upper register"?

‘上音阶’指的是什么?

How is the upper register achieved with a clarinet? Why is the upper register the third harmonic rather than the second?

如何通过萨克斯管实现高音区?为什么高音区是第三泛音而不是第二泛音?

Why is the mouthpiece of the clarinet an acoustical "closed end"?

小号的嘴子为什么是一个声学‘封闭端’?

How is the "edge tone" produced with a flute?

管风琴的‘边缘音’是如何产生的?

What are the elements in the flute which affect the efficiency of the edge tone? That is, what elements are responsible for being able to produce a clear, steady tone?

flute 中哪些元素会影响边缘音的效率?也就是说,哪些元素负责能够产生清晰而稳定的音调?

How is the upper register achieved with a flute?

如何通过长笛实现高音区?
*Air columns

*Open air column

*Closed air column

*Conical column

*Clarinet upper register

*Clarinet mouthpiece

*Edge tone

*Edge tone efficiency

*Overblowing the flute

*Effect of airstream velocity

*Effect of slit-to-edge distance

*Woodwind instruments

* 空气柱 * 开放空气柱 * 封闭空气柱 * 锥形柱 * 管风琴高音区 * 管风琴喇叭口 * 边振动 * 边振动效率 * 吹奏长笛 * 空气流速的影响 * 气孔到边缘距离的影响 * 管乐器
Index
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  HyperPhysics*****Physics 2030K
HyperPhysics ***** 物理学 2030K
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Acoustics of Brass Instruments

铜制乐器的声学

The mouthpiece of a brass instrument constitutes a "closed end" acoustically, so a tube with a brass mouthpiece would be expected to produce only odd harmonics. Yet a brass instrument produces all harmonics. Describe how the brass instrument produces all harmonics.

铜制乐器的嘴子在声学上构成一个‘封闭端’,因此一个带有铜制嘴子的管乐器应只产生奇数泛音。然而,铜制乐器却能产生所有泛音。请说明铜制乐器是如何产生所有泛音的。

What is the role of the bell in producing the sequence of notes in a brass instrument?

钟形管在 brass 乐器中产生音符序列中起什么作用?

How does the mouthpiece influence the frequencies produced?

口塞如何影响产生的频率?

What is a pedal tone?

什么是踏音?

How do the valves change the pitch of a trumpet?

阀门如何改变号角的音调?

How will the pitch of a brass instrument change as the instrument warms up?

当乐器升温时,铜制乐器的音调会如何变化?

If a brass instrument produced an exact series of harmonics, which of those would be most out of tune with an equal tempered instrument like a piano?

如果一个黄铜乐器发出一组精确的谐波,那么这些谐波中哪一个会与像钢琴这样的等音温琴最不和谐?
*Closed tube resonances

*Producing a harmonic sequence

*Bell effect

*Mouthpiece effect

*Pedal tone

*Valves

*Warmup effects

*Harmonics in cents

*Brass instruments

* 封闭管共振 * 产生谐波序列 * 钟形效应 * 声腔效应 * 马蹄声 * 阀门 * 预热效应 * 以厘为单位的泛音
Index
索引
  HyperPhysics*****Physics 2030K
HyperPhysics ***** 物理学 2030K
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