繁體中文
顯示完整菜單

信息

Why does every piano need to be tuned differently?

This is quite a complex matter。I will explain it in a couple of steps。

  1. Intervals beat
    When two keys are pressed at the same time (this is called an interval), a piano will produce a combined sound。If you listen closely you will hear that this combined sound beats。The volume increases and decreases a few times per second (some intervals beat slower)。
  2. Each interval has to beat at the right speed
    Each interval on a piano's keyboard beats at a different rate。The rates of the beats for each interval are important。A piano will only sound good if these beats are exactly right。There are quite some rules that these beats have to respect。A major third beats faster than a fifth。An octave only beats very slowly。Also, if you play a major third somewhere on the keyboard, it will beat faster when you play it on a higher pitch (more to the right)。
  3. The beats are produced by higher harmonics
    Okay, the interval's beats are important but where do they come from?Well, if two tones with almost the same pitch (but different) sound together they will produce a beat。Let's say tone A has pitch FA and tone B has pitch FB。When FB is only a little higher than FA together they will produce a beat with frequency F = FB - FA。
  1. This is getting quite technical and not so important。But if you like, you can study the animation below to understand this principle。

    當兩個音調在很小節距差之下,在同一時間播放並發生顫動
    Piano Interval Beats
    So, two tones with pitches that are close to each other produce a beat。That's good to know but the two tones of an interval are not close at all!The pitch ratio of a major third (in just intonation), for example, is 1.25。These two pitches are far apart。They will never beat!What is it that's producing the beat then?
  1. The answer lies in the higher harmonics that vibrating strings produce。When a string is struck, it will produce many tones at the same time。It will vibrate at its fundamental (the lowest) pitch, but it will also vibrate at a frequency of 2, 3, 4, etc. times its fundamental frequency。The cause for this is that a string can vibrate in several ways。既可以是整段振動,即琴弦中部振動,兩端固定。This way a string can also vibrate in three, four, five..。etc. sections。琴弦各段的振動是同時發生的。The animation below clarifies this。The sections are also called parts which is the reason that higher harmonics produced by strings are also called partials。

    這被稱為泛音
    Piano String Partials
  1. Now we can understand what is causing the beats in, for example, a major third。The interval from A4 to C#5 is a major third。If the A4 has a pitch of 440 Hz then the C#5 (in just intonation) has a pitch of 550 Hz。The fourth harmonic of the A4 (5 * 440 = 2200 Hz) is the same as the third harmonic of the C#5 (4 * 550 = 2200 Hz)。So one of the beats that you hear in a major third is caused by these two higher harmonics。You actually can hear multiple beats caused by multiple pairs of different harmonics。You can imagine how hard it is to hear (and count) these beats by ear。Professional tuners practice years to get it right。
  2. Inharmonicity
    In the previous section I explained that a string vibrates in different parts。This causes the higher harmonics (partials) to be produced。I talked about frequencies of 2, 3, 4, etc. times the fundamental frequency。That is actually not exactly the truth。Because of the physical properties of a string (length, diameter, stiffness, weight, imperfections, etc.) these factors are a little higher。A string needs to stretch a little in order to vibrate。A string needs to stretch even more to vibrate in more parts。That is one of the reasons why a higher harmonic frequency, in real life, has a higher pitch than you might expect。
  3. 總結
    All of the above means that the beat rate of an interval is dependent on the (huge amount of) physical properties of the piano。These properties are different for each piano。In order to get the beats of all intervals exactly right each piano needs to be tuned differently。
  1. Dirk's Piano Tuning Software solves the puzzle
    It is an extremely complex puzzle to determine the right pitch for each string so each interval will beat exactly right and the piano will sound optimal。迪爾克鋼琴調律軟體為您解決了這個難題。當其他琴弦處於靜音狀態、只有一根琴弦發音時,迪爾克軟體依次錄下每個弦音。The necessary tuning is determined by the computer using these single string recordings。調律軟體不僅記錄基音,也記錄泛音。錄下單弦音後,軟體可以根據所得資料計算出所有基音的最佳音訊。然後軟體可以算出所有音程的純度,根據計算結果便可以對琴弦逐個調音。根據計算結果便可以對琴弦逐個調音。

迪爾克鋼琴調律軟體 v4.0


$398
美元
購買 購買
下載測試版
下載測試版 下載測試版
以專業的標準替自己的鋼琴調音
以專業的標準替自己的鋼琴調音

相容性



Microsoft
Microsoft
  • 桌上型電腦
  • 筆記型電腦
  • 袖珍筆記型電腦
  • 英代爾平板
  • 手機
  • 微軟Pocket PC
  • Windows 10
  • Windows 8.1
  • Windows 8
  • Windows 7
  • Windows Vista
  • Windows XP
  • Windows ME
  • Windows 2000
  • Windows 98
  • Windows Phone
  • Windows RT



Apple
Apple
  • 蘋果iMac電腦
  • 蘋果Mac Pro電腦
  • 蘋果Mac mini電腦
  • 蘋果MacBook筆記型電腦
  • 蘋果iPad平板
  • 蘋果iPhone手機
  • MacOS 10.13
  • MacOS 10.12
  • OS X 10.11
  • OS X 10.10
  • OS X 10.9
  • OS X 10.8
  • OS X 10.7
  • Mac OS X 10.6
  • Mac OS X 10.5
  • Mac OS X 10.4
  • iOS iPhone
  • iOS iPad



調律軟體提供下列語言支援:
  • 简体中文
  • Nederlands
  • Nederlands
  • English
  • English
  • English
  • Français
  • Deutsch
  • Deutsch
  • Deutsch
  • Magyar
  • Italiano
  • Norsk
  • Polska
  • Português
  • Português
  • Русский
  • Español
  • Svenska

用戶體驗

Navigate to the top of this page