查看“鋼琴鍵頻率”的源代码

[[鋼琴鍵頻率]]是指[[鋼琴]]上每一個鍵所產生的聲音[[頻率]]，以[[赫茲]]為單位。
现代的鋼琴上共有88至108鍵。在88键钢琴上，第49鍵，即第5個A（亦稱A<sub>4</sub>）一般被用作調音標準。現行的標準是440赫茲，亦稱[[A440]]。歷史上曾有不少標準，由432至446赫茲之間的所有雙數都曾經被使用。<ref>{{cite web|url=http://www.phy.mtu.edu/~suits/notefreqs.html|title=Frequencies of Musical Notes, A4 = 440 Hz|work=www.phy.mtu.edu}}</ref>

==頻率公式==
以下是鋼琴頻率的公式：<br/><br/>
<big><math>
f(n) = \left(\sqrt[12]{2}\,\right)^{n-49} \times A_4
</math></big><ref>{{cite web|url=http://www.phy.mtu.edu/~suits/NoteFreqCalcs.html|title=Formula for frequency table|work=www.phy.mtu.edu}}</ref><br/><br/>

其中<math>n</math>是從左至右數的鍵序，<math>A_4</math>則是上文提及A<sub>4</sub>的標準，現時為440赫茲。

==列表==
[[File:Piano Frequencies.svg|frame|alt=Piano Keyboard|88鍵鋼琴，以數字顯示八度和[[中央C]] (青色) 以及 [[A440]] (黃色)]] 
[[File:Piano key frequencies.png|thumb|left|50px|鋼琴鍵頻率列表 (可印版本)]]
{{clear}}
'''粗體'''表示該數值為𤦎論上的精確值。灰色部分表示該琴鍵只出現在大型鋼琴。
{| class="wikitable" style="text-align: center"
!| 鍵序 || {{tsl|en|Helmholtz pitch notation|亥姆霍兹記號法|亥姆霍兹記號}}<br>名字 ||{{tsl|en|Scientific pitch notation|科學音調記號法|科學音調記號}} || 頻率 (赫茲) 
|-
| bgcolor="lightgray" | 108 || bgcolor="lightgray" | b′′′′′ || bgcolor="lightgray" | B<sub>8</sub> || bgcolor="lightgray" | 7902.13
|-
| bgcolor="darkslategray" style="color:white" | 107 || bgcolor="lightgray" | a{{music|#}}′′′′′/b{{music|b}}′′′′′ || bgcolor="lightgray" | A{{music|#}}<sub>8</sub>/B{{music|b}}<sub>8</sub> || bgcolor="lightgray" | 7458.62
|-
| bgcolor="lightgray" | 106 || bgcolor="lightgray" | a′′′′′ || bgcolor="lightgray" | A<sub>8</sub> || bgcolor="lightgray" | '''7040.00'''
|-
| bgcolor="darkslategray" style="color:white" | 105 || bgcolor="lightgray" | g{{music|#}}′′′′′/a{{music|b}}′′′′′ || bgcolor="lightgray" | G{{music|#}}<sub>8</sub>/A{{music|b}}<sub>8</sub> || bgcolor="lightgray" | 6644.88
|-
| bgcolor="lightgray" | 104 || bgcolor="lightgray" | g′′′′′ || bgcolor="lightgray" | G<sub>8</sub> || bgcolor="lightgray" | 6271.93
|-
| bgcolor="darkslategray" style="color:white" | 103 || bgcolor="lightgray" | f{{music|#}}′′′′′/g{{music|b}}′′′′′ || bgcolor="lightgray" | F{{music|#}}<sub>8</sub>/G{{music|b}}<sub>8</sub> || bgcolor="lightgray" | 5919.91
|-
| bgcolor="lightgray" | 102 || bgcolor="lightgray" | f′′′′′ || bgcolor="lightgray" | F<sub>8</sub> || bgcolor="lightgray" | 5587.65 
|-
| bgcolor="lightgray" | 101 || bgcolor="lightgray" | e′′′′′ || bgcolor="lightgray" | E<sub>8</sub> || bgcolor="lightgray" | 5274.04 
|-
| bgcolor="darkslategray" style="color:white" | 100 || bgcolor="lightgray" | d{{music|#}}′′′′′／e{{music|b}}′′′′′ || bgcolor="lightgray" | D{{music|#}}<sub>8</sub>／E{{music|b}}<sub>8</sub> || bgcolor="lightgray" | 4978.03 
|-
| bgcolor="lightgray" | 99 || bgcolor="lightgray" | d′′′′′ || bgcolor="lightgray" | D<sub>8</sub> || bgcolor="lightgray" | 4698.64 
|-
| bgcolor="darkslategray" style="color:white" | 98 || bgcolor="lightgray" | c{{music|#}}′′′′′／d{{music|b}}′′′′′ || bgcolor="lightgray" | C{{music|#}}<sub>8</sub>／D{{music|b}}<sub>8</sub> || bgcolor="lightgray" | 4434.92 
|-
| bgcolor="white" | 88 || c′′′′′|| C<sub>8</sub> || 4186.01 
|-
| bgcolor="white" | 87 || b′′′′ || B<sub>7</sub> || 3951.07 
|-
| bgcolor="black" style="color:white"  | 86 || a{{music|#}}′′′′／b{{music|b}}′′′′ || A{{music|#}}<sub>7</sub>／B{{music|b}}<sub>7</sub> || 3729.31 
|-
| bgcolor="white" | 85 || a′′′′ || A<sub>7</sub> || '''3520.00'''  
|-
| bgcolor="black" style="color:white" | 84 || g{{music|#}}′′′′／a{{music|b}}′′′′ || G{{music|#}}<sub>7</sub>／A{{music|b}}<sub>7</sub> || 3322.44 
|-
| bgcolor="white" | 83 || g′′′′ || G<sub>7</sub> || 3135.96 
|-
| bgcolor="black" style="color:white" | 82 || f{{music|#}}′′′′／g{{music|b}}′′′′ || F{{music|#}}<sub>7</sub>／G{{music|b}}<sub>7</sub> || 2959.96 
|-
| bgcolor="white" | 81 || f′′′′ || F<sub>7</sub> || 2793.83 
|-
| bgcolor="white" | 80 || e′′′′ || E<sub>7</sub> || 2637.02 
|-
| bgcolor="black" style="color:white" | 79 || d{{music|#}}′′′′／e{{music|b}}′′′′ || D{{music|#}}<sub>7</sub>／E{{music|b}}<sub>7</sub> || 2489.02 
|-
| bgcolor="white" | 78 || d′′′′ || D<sub>7</sub> || 2349.32 
|-
| bgcolor="black" style="color:white" | 77 || c{{music|#}}′′′′／d{{music|b}}′′′′ || C{{music|#}}<sub>7</sub>／D{{music|b}}<sub>7</sub> || 2217.46 
|-
| bgcolor="white" | 76 || c′′′′|| C<sub>7</sub> || 2093.00  
|-
| bgcolor="white" | 75 || b′′′ || B<sub>6</sub> || 1975.53 
|-
| bgcolor="black" style="color:white" | 74 || a{{music|#}}′′′／b{{music|b}}′′′ || A{{music|#}}<sub>6</sub>／B{{music|b}}<sub>6</sub> || 1864.66 
|-
| bgcolor="white" | 73 || a′′′ || A<sub>6</sub> || '''1760.00'''  
|-
| bgcolor="black" style="color:white" | 72 || g{{music|#}}′′′／a{{music|b}}′′′ || G{{music|#}}<sub>6</sub>／A{{music|b}}<sub>6</sub> || 1661.22 
|-
| bgcolor="white" | 71 || g′′′ || G<sub>6</sub> || 1567.98 
|-
| bgcolor="black" style="color:white" | 70 || f{{music|#}}′′′／g{{music|b}}′′′ || F{{music|#}}<sub>6</sub>／G{{music|b}}<sub>6</sub> || 1479.98 
|-
| bgcolor="white" | 69 || f′′′ || F<sub>6</sub> || 1396.91 
|-
| bgcolor="white" | 68 || e′′′ || E<sub>6</sub> || 1318.51 
|-
| bgcolor="black" style="color:white" | 67 || d{{music|#}}′′′／e{{music|b}}′′′ || D{{music|#}}<sub>6</sub>／E{{music|b}}<sub>6</sub> || 1244.51 
|-
| bgcolor="white" | 66 || d′′′ || D<sub>6</sub> || 1174.66 
|-
| bgcolor="black" style="color:white" | 65 || c{{music|#}}′′′／d{{music|b}}′′′ || C{{music|#}}<sub>6</sub>／D{{music|b}}<sub>6</sub> || 1108.73 
|-
| bgcolor="white" | 64 || c′′′|| C<sub>6</sub>  || 1046.50 
|-
| bgcolor="white" | 63 || b′′ || B<sub>5</sub> || 987.767 
|-
| bgcolor="black" style="color:white" | 62 || a{{music|#}}′′／b{{music|b}}′′ || A{{music|#}}<sub>5</sub>／B{{music|b}}<sub>5</sub> || 932.328 
|-
| bgcolor="white" | 61 || a′′ || A<sub>5</sub> || '''880.000''' 
|-
| bgcolor="black" style="color:white" | 60 || g{{music|#}}′′／a{{music|b}}′′ || G{{music|#}}<sub>5</sub>／A{{music|b}}<sub>5</sub> || 830.609 
|-
| bgcolor="white" | 59 || g′′ || G<sub>5</sub> || 783.991 
|-
| bgcolor="black" style="color:white" | 58 || f{{music|#}}′′／g{{music|b}}′′ || F{{music|#}}<sub>5</sub>／G{{music|b}}<sub>5</sub> || 739.989 
|-
| bgcolor="white" | 57 || f′′ || F<sub>5</sub> || 698.456 
|-
| bgcolor="white" | 56 || e′′ || E<sub>5</sub> || 659.255 
|-
| bgcolor="black" style="color:white" | 55 || d{{music|#}}′′／e{{music|b}}′′ || D{{music|#}}<sub>5</sub>／E{{music|b}}<sub>5</sub> || 622.254 
|-
| bgcolor="white" | 54 || d′′ ||D<sub>5</sub> || 587.330 
|-
| bgcolor="black" style="color:white" | 53 || c{{music|#}}′′／d{{music|b}}′′ || C{{music|#}}<sub>5</sub>／D{{music|b}}<sub>5</sub> || 554.365 
|-
| bgcolor="white" | 52 || c′′ || C<sub>5</sub> || 523.251 
|-
| bgcolor="white" | 51 || b′ || B<sub>4</sub> || 493.883 
|-
| bgcolor="black" style="color:white" | 50 || a{{music|#}}′／b{{music|b}}′|| A{{music|#}}<sub>4</sub>／B{{music|b}}<sub>4</sub> || 466.164 
|-
| bgcolor="white" |49 || a′ || A<sub>4</sub> [[A440]] || bgcolor="yellow" | '''440.000''' 
|-
| bgcolor="black" style="color:white" | 48 || g{{music|#}}′／a{{music|b}}′ || G{{music|#}}<sub>4</sub>／A{{music|b}}<sub>4</sub> || 415.305 
|-
| bgcolor="white" | 47 || g′|| G<sub>4</sub> || 391.995 
|-
| bgcolor="black" style="color:white" | 46 || f{{music|#}}′／g{{music|b}}′ || F{{music|#}}<sub>4</sub>／G{{music|b}}<sub>4</sub> || 369.994 
|-
| bgcolor="white" | 45 || f′ || F<sub>4</sub> || 349.228 
|-
| bgcolor="white" | 44 || e′ || E<sub>4</sub> || 329.628 
|-
| bgcolor="black" style="color:white" | 43 || d{{music|#}}′／e{{music|b}}′ || D{{music|#}}<sub>4</sub>／E{{music|b}}<sub>4</sub> || 311.127 
|-
| bgcolor="white" | 42 || d′ || D<sub>4</sub> || 293.665 
|-
| bgcolor="black" style="color:white" | 41 || c{{music|#}}′／d{{music|b}}′ || C{{music|#}}<sub>4</sub>／D{{music|b}}<sub>4</sub> || 277.183 
|-
| bgcolor="white" | 40 || c′ || C<sub>4</sub> [[中央C]] || bgcolor="skyblue" | 261.626 
|-
| bgcolor="white" | 39 || b || B<sub>3</sub> || 246.942 
|-
| bgcolor="black" style="color:white" | 38 || a{{music|#}}／b{{music|b}} || A{{music|#}}<sub>3</sub>／B{{music|b}}<sub>3</sub> || 233.082 
|-
| bgcolor="white" | 37 || a || A<sub>3</sub> || '''220.000''' 
|-
| bgcolor="black" style="color:white" | 36 || g{{music|#}}／a{{music|b}} || G{{music|#}}<sub>3</sub>／A{{music|b}}<sub>3</sub> || 207.652 
|-
| bgcolor="white" | 35 || g || G<sub>3</sub> || 195.998 
|-
| bgcolor="black" style="color:white" | 34 || f{{music|#}}／g{{music|b}} || F{{music|#}}<sub>3</sub>／G{{music|b}}<sub>3</sub> || 184.997 
|-
| bgcolor="white" | 33 || f || F<sub>3</sub> || 174.614 
|-
| bgcolor="white" | 32 || e || E<sub>3</sub> || 164.814 
|-
| bgcolor="black" style="color:white" | 31 || d{{music|#}}／e{{music|b}} || D{{music|#}}<sub>3</sub>／E{{music|b}}<sub>3</sub> || 155.563 
|-
| bgcolor="white" | 30 || d || D<sub>3</sub> || 146.832 
|-
| bgcolor="black" style="color:white" | 29 || c{{music|#}}／d{{music|b}} || C{{music|#}}<sub>3</sub>／D{{music|b}}<sub>3</sub> || 138.591 
|-
| bgcolor="white" | 28 || c|| C<sub>3</sub> || 130.813 
|-
| bgcolor="white" | 27 || B || B<sub>2</sub> || 123.471 
|-
| bgcolor="black" style="color:white" | 26 || A{{music|#}}／b{{music|b}} || A{{music|#}}<sub>2</sub>／B{{music|b}}<sub>2</sub> || 116.541 
|-
| bgcolor="white" | 25 || A || A<sub>2</sub> || '''110.000''' 
|-
| bgcolor="black" style="color:white" | 24 || G{{music|#}}／a{{music|b}} ||G{{music|#}}<sub>2</sub>／A{{music|b}}<sub>2</sub> || 103.826 
|-
| bgcolor="white" | 23 || G || G<sub>2</sub> || 97.9989  
|-
| bgcolor="black" style="color:white" | 22 || F{{music|#}}／g{{music|b}} ||F{{music|#}}<sub>2</sub>／G{{music|b}}<sub>2</sub> || 92.4986 
|-
| bgcolor="white" | 21 || F || F<sub>2</sub> || 87.3071 
|-
| bgcolor="white" | 20 || E || E<sub>2</sub> || 82.4069 
|-
| bgcolor="black" style="color:white" | 19 || D{{music|#}}／e{{music|b}} ||D{{music|#}}<sub>2</sub>／E{{music|b}}<sub>2</sub> || 77.7817 
|-
| bgcolor="white" | 18 || D || D<sub>2</sub> || 73.4162 
|-
| bgcolor="black" style="color:white" | 17 || C{{music|#}}／d{{music|b}} ||C{{music|#}}<sub>2</sub>／D{{music|b}}<sub>2</sub> || 69.2957  
|-
| bgcolor="white" | 16 || C || C<sub>2</sub> || 65.4064 
|-
| bgcolor="white" | 15 || B͵ || B<sub>1</sub> || 61.7354 
|-
| bgcolor="black" style="color:white" | 14 || A{{music|#}}͵／b{{music|b}}͵ || A{{music|#}}<sub>1</sub>／B{{music|b}}<sub>1</sub> || 58.2705 
|-
| bgcolor="white" | 13 || A͵ || A<sub>1</sub> || '''55.0000''' 
|-
| bgcolor="black" style="color:white" | 12 || G{{music|#}}͵／a{{music|b}}͵ || G{{music|#}}<sub>1</sub>／A{{music|b}}<sub>1</sub> || 51.9131 
|-
| bgcolor="white" | 11 || G͵ || G<sub>1</sub> || 48.9994 
|-
| bgcolor="black" style="color:white" | 10 || F{{music|#}}͵／g{{music|b}}͵ || F{{music|#}}<sub>1</sub>／G{{music|b}}<sub>1</sub> || 46.2493 
|-
| bgcolor="white" | 9 || F͵ || F<sub>1</sub> || 43.6535 
|-
| bgcolor="white" | 8 || E͵ || E<sub>1</sub> || 41.2034 
|-
| bgcolor="black" style="color:white" | 7 || D{{music|#}}͵／e{{music|b}}͵ || D{{music|#}}<sub>1</sub>／E{{music|b}}<sub>1</sub> || 38.8909 
|-
| bgcolor="white" | 6 || D͵ || D<sub>1</sub> || 36.7081 
|-
| bgcolor="black" style="color:white" | 5 || C{{music|#}}͵／d{{music|b}}͵ || C{{music|#}}<sub>1</sub>／D{{music|b}}<sub>1</sub> || 34.6478 
|-
| bgcolor="white" | 4 || C͵|| C<sub>1</sub> Pedal C|| 32.7032 
|-
| bgcolor="white" | 3 || B͵͵ || B<sub>0</sub> || 30.8677 
|-
| bgcolor="black" style="color:white" | 2 || A{{music|#}}͵͵／b{{music|b}}͵͵ || A{{music|#}}<sub>0</sub>／B{{music|b}}<sub>0</sub> || 29.1352 
|-
| bgcolor="white" | 1 || A͵͵ || A<sub>0</sub> || '''27.5000''' 
|-
| bgcolor="darkslategray" style="color:white" | 97 || bgcolor="lightgray" | G{{music|#}}͵͵／a{{music|b}}͵͵ || bgcolor="lightgray" | G{{music|#}}<sub>0</sub>／A{{music|b}}<sub>0</sub> || bgcolor="lightgray" | 25.9565 
|-
| bgcolor="lightgray" | 96 || bgcolor="lightgray" | G͵͵ || bgcolor="lightgray" | G<sub>0</sub> || bgcolor="lightgray" | 24.4997 
|-
| bgcolor="darkslategray" style="color:white" | 95 || bgcolor="lightgray" | F{{music|#}}͵͵／g{{music|b}}͵͵ || bgcolor="lightgray" | F{{music|#}}<sub>0</sub>／G{{music|b}}<sub>0</sub> || bgcolor="lightgray" | 23.1247 
|-
| bgcolor="lightgray" | 94 || bgcolor="lightgray" | F͵͵ || bgcolor="lightgray" | F<sub>0</sub> || bgcolor="lightgray" | 21.8268 
|-
| bgcolor="lightgray" | 93 || bgcolor="lightgray" | E͵͵ || bgcolor="lightgray" | E<sub>0</sub> || bgcolor="lightgray" | 20.6017 
|-
| bgcolor="darkslategray" style="color:white" | 92 || bgcolor="lightgray" | D{{music|#}}͵͵／e{{music|b}}͵͵ || bgcolor="lightgray" | D{{music|#}}<sub>0</sub>／E{{music|b}}<sub>0</sub> || bgcolor="lightgray" | 19.4454 
|-
| bgcolor="lightgray" | 91 || bgcolor="lightgray" | D͵͵ || bgcolor="lightgray" | D<sub>0</sub> || bgcolor="lightgray" | 18.3540 
|-
| bgcolor="darkslategray" style="color:white" | 90 || bgcolor="lightgray" | C{{music|#}}͵͵／d{{music|b}}͵͵ || bgcolor="lightgray" | C{{music|#}}<sub>0</sub>／D{{music|b}}<sub>0</sub> || bgcolor="lightgray" | 17.3239 
|-
| bgcolor="lightgray" | 89 || bgcolor="lightgray" | C͵͵|| bgcolor="lightgray" | C<sub>0</sub>|| bgcolor="lightgray" | 16.3516 
|}

==參考==
{{REFLIST}}{{琴键与键盘乐器}}{{频率与音高}}
[[Category:声音]]
[[Category:聲音技術]]
[[Category:钢琴]]