First, what's a "Hz/Hertz"? If a sound wave (supposedly a sine wave) takes 1 second to complete its "~" vibration, that sound has a frequency of 1 Hz, which is very very low, beyond the hearing of the human ears. 440 Hz is kind of the standard reference pitch for the note "A" (5th fret on the high E string of a correctly tuned guitar that is tuned to the 440 Hz reference) in most genres of music. Some classical music are played with all the instruments tuned to A= 442 Hz, but there are also occasions where the reference pitch is decided to be 438 Hz. When the A note on the 5th fret of your correctly tuned guitar is played, the string vibrates 440 times (in the "~" motion) in a second. On an electronic tuner, there might be a function called "Calib/Calibrate" with which you can set your tuner to have a reference from 438-444 Hz. Normally, it's factory-set to A=440 Hz. Here's a FUNDAMENTAL frequency chart of the notes found on a bass and a guitar: (Important: A note may have harmonic content of other frequencies besides its fundamental frequency.) E = 41.20 hz <- E string on bass F = 43.65 hz F# = 46.25 hz G = 49.00 hz G# = 51.91 hz A = 55.00 hz <- A string on bass A# = 58.27 hz B = 61.74 hz C = 65.41 hz C# = 69.30 hz D = 73.42 hz <- D string on bass D# = 77.78 hz E = 82.41 hz <- low E string on guitar F = 87.31 hz F# = 92.50 hz G = 98.00 hz <- G string on bass G# = 103.83 hz A = 110.00 hz <- A string on guitar A# = 116.54 hz B = 123.47 hz C = 130.81 hz C# = 138.59 hz D = 146.83 hz <- D string on guitar D# = 155.56 hz E = 164.81 hz F = 174.61 hz F# = 185.00 hz G = 196.00 hz <- G string on guitar G# = 207.65 hz A = 220.00 hz A# = 233.08 hz B = 246.94 hz <- B string on guitar C = 261.63 hz C# = 277.18 hz D = 293.66 hz D# = 311.13 hz E = 329.63 hz <- high E string on guitar F = 349.23 hz F# = 369.99 hz G = 392.00 hz G# = 415.30 hz A = 440.00 hz A# = 466.16 hz B = 493.88 hz C = 523.25 hz C# = 554.37 hz D = 587.33 hz D# = 622.25 hz E = 659.26 hz <- high E string at 12th fret F = 698.46 hz F# = 739.99 hz G = 783.99 hz G# = 830.61 hz A = 880.00 hz A# = 932.33 hz B = 987.77 hz C = 1046.50 hz C# = 1108.73 hz <- that's it for 21-fret guitars D = 1174.66 hz D# = 1244.51 hz E = 1318.51 hz <- if you have a 24-fret guitar When you boost or cut 440 Hz on an EQ, sounds that contain that frequency will be altered to some degree. Try this: Play an arpeggio of the 5th position barred chord A on your guitar and cut the 440 Hz on your EQ. The 1st string A note will become softer. Beware that other notes in the chord will also be slightly affected because they also have a little 440 Hz in their harmonic structures. When you said "波型", did you mean the frequency response curve in a frequency analyzer or the graphic shape of a waveform? The 440 Hz A note on both a guitar and a piano may look pretty much the same in their frequency curves provided they have the same loudness/ampltude. However, they may look different in their waveform shapes as they have different attack, sustain, and harmonic structure, etc.. A frequency analyzer is actually a multi-band level meter, while a waveform shape is a graphic presentation of overall loudness in relation to time. That's why the waveform of most musical instrument sounds have a big head and a tail--- attack and decay. Hope what I wrote above is easy to understand for you. *Sorry, can't type Chinese.
第一.二段都還很勉強多少看懂一點 第三段完全不行 我知道那代表的是音高和音頻 所以兩個頻率的意思不同 我其實是想知道 音高的頻率是指弦的1秒震動幾次(我不確定) 那音頻的頻率呢?適用什麼方法計算? 很謝謝大家回應
Hi Jerry, That's very possible. The above frequency chart depicts the " fundamental", not the "main" frequency which is more audible to the human ears and more detectable for frequency analyzers. Sorry for having not pointed it out clearly in the post above. Take the 5th open string a note for example, it's indeed the octave harmonic 220 Hz that distinquishes the note, both to the human ears and the frequency analyzers. Death, Sorry I couldn't write it in a simpler manner. To answer your question, the 1st string, 5th fret A note vibrates 440 times in a second, while the 5th string open note does it for 220 times, while the 5th string, 12th fret note at 440 too. Beware that the frequency content of the 1st string A note is NOT consisted of purely 440Hz but there are other frequencies as there are odd and even harmonics in the note. As a rule of thumb, 1 octave=12 half-notes/frets=frequency X 2 On a frequency analyzer, a snare drum may have 3 main frequencies. Its bright crack and attack is about 3~10 Khz (3000~10000 Hz). Its "ooong" resonance is about 200~400 Hz, while the agressive mid punch may be around 600 Hz~1 K. Here are some interesting articles: How does a guitar work? Strings and Waves Notes and frequencies
我是學電的! 一般樂器聲音在空氣中傳送~~ 是用一種波形再傳送的! 就是國中學的波~~~! 不過不可能產生出來的波形會很乾淨!(除非是音頻產生器) 所以還會有許多的諧坡的產生~! 不同的諧波放在一起就會形成不同的音色! 聽起來也就是小提琴鋼琴吉他音高一樣! 可是聽起來不同的原因了! 我說的很淺的東西~~~! 也不知道這樣是不是全對! 歡迎大家討論! 順便提供一個逢甲大學的網頁! 好像是學生的作品! http://webcai.math.fcu.edu.tw/course/tri/sum_product/sumproduct.htm