So what's the pathway from hormone to harmonics?

那么从荷尔蒙到和声是如何转变的呢？

It's got that fundamental base frequency down here with lots of harmonics up here, but it's just buzzy noise.

它的基本基频在这里，这里有很多波，但这只是嗡嗡声。

Finally, we explained why a pipe with one closed end can’t have even-numbered harmonics.

最后， 我们解释了为什么一端封闭的管道不能有偶数次波。

The fundamental is the 1st harmonic, and the overtones are higher-numbered harmonics.

初级是一次波，泛音 它们是高编号的旋律。

Now, physicists sometimes express harmonics in terms of wavelength.

现在，学家有时会表达 根据波长的波。

Now, harmonics can be useful when you're trying to play really low notes.

- 现在，当您尝试弹奏非常低音时，泛音会很有用。

TANA, absorbed in his harmonics, gives no heed, so PARAMORE takes up the receiver.)

塔纳沉浸在他的波中， 有会，所以帕拉莫尔拿起了接收器。

String theory fitted this idea well, as  harmonics on strings are also quantised.

弦论非常适合这个想法，因为弦上的波也是量化的。

And he found that he could differentiate individual piranha species by analyzing factors like pitch and harmonics and number of barks.

他发现，他能通过分析音高、和声以及咆哮次数等因素来区分个体水虎鱼的种类。

Together, the fundamental wave and the overtones make up what are known as harmonics.

它们共同构基本波和泛音 所谓的波。

Finally, we explained why a pipe with one closed end can't have even-numbered harmonics.

最后，我们解释了为什么长笛不带尖头的声音 闭合双波。

This isn't an analogy either, quantum physicists actually talk about the harmonics of electrons.

这也不是类比， 量子学家实际上在谈论电子的波。

(sample sound buzzing) But the second sound was made up of the harmonics of 50 hertz.

（样本声音嗡嗡声）但第二种声音是由 50 赫兹的波组的。

So, a pipe that's closed on one end can't have even-numbered harmonics.

所以，单边封闭的双簧管不能 为一对音。

And for each instrument, different harmonics will have different amplitudes -- and therefore sound louder.

每个乐器都有自己的波 不同的范围是不同的...... 所以声音更大。

Virtually all acoustic instruments produce harmonic series, but each instrument’s shape and material changes the balance of its harmonics.

几乎所有声学乐器都会产生波系列，但每种乐器的形状和材料都会改变其波的平衡。

But what we've learned is that there are harmonics of interactionbetween the specific frequencies that cancel out the pain.

但我们了解到，特定频率之间存在相互作用的波，可以抵消疼痛。

That's how higher frequencies together can sound lower than low frequencies if they are harmonics of a low fundamental.

这就是如果较高频率是低基音的波，那么它们组合在一起听起来会比低频更低的原因。

Well, Vogler realized that if he played the harmonics of 16 hertz using shorter pipes, your brain would hear this missing fundamental.

那么， 沃格勒意识到， 如果他使用较短的管道演奏 16 赫兹的泛音，你的大脑就会听到这个缺失的基音。

When you play a note, you’re creating the fundamental wave, plus some of the other harmonics -- the overtones.

当你弹奏一个音符时， 你正在创造基波， 加上一些其他泛音——泛音。