{"id":1744,"date":"2017-04-05T23:46:36","date_gmt":"2017-04-05T15:46:36","guid":{"rendered":"http:\/\/www.bookcard.net\/wordpress\/?p=1744"},"modified":"2017-09-14T11:14:57","modified_gmt":"2017-09-14T03:14:57","slug":"piano_equal_temperaments_and_frequency","status":"publish","type":"post","link":"https:\/\/www.bookcard.net\/wordpress\/piano_equal_temperaments_and_frequency\/","title":{"rendered":"\u92fc\u7434-\u5341\u4e8c\u5e73\u5747\u5f8b\u97f3\u7a0b\u8207\u983b\u7387"},"content":{"rendered":"
\"88\u7434\u9375\"<\/a>
88\u7434\u9375<\/figcaption><\/figure>\n

 <\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
\u5531\u540d<\/td>\n\u9375\u865f<\/td>\n\u97f3\u540d<\/td>\n\u97f3\u540d(\u4ee5A0\u7de8\u5740)<\/td>\n\u983b\u7387(Hz)<\/td>\n\u97f3\u7d44<\/td>\n<\/tr>\n
1Do<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n\u5927\u5b57\u4e8c\u7d44<\/td>\n<\/tr>\n
2#Do<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
3Re<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
4#Re<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
5Mi<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
6Fa<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
7#Fa<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
8Sol<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
9#Sol<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
10La<\/td>\n1<\/td>\nA2<\/td>\nA0<\/td>\n27.5<\/td>\n<\/tr>\n
11#La<\/td>\n2<\/td>\n#A2<\/td>\n#A0<\/td>\n29.1<\/td>\n<\/tr>\n
12Si<\/td>\n3<\/td>\nB2<\/td>\nB0<\/td>\n30.9<\/td>\n<\/tr>\n
1Do<\/td>\n4<\/td>\nC1<\/td>\nC1<\/td>\n32.7<\/td>\n\u5927\u5b57\u4e00\u7d44<\/td>\n<\/tr>\n
2#Do<\/td>\n5<\/td>\n#C1<\/td>\n#C1<\/td>\n34.6<\/td>\n<\/tr>\n
3Re<\/td>\n6<\/td>\nD1<\/td>\nD1<\/td>\n36.7<\/td>\n<\/tr>\n
4#Re<\/td>\n7<\/td>\n#D1<\/td>\n#D1<\/td>\n38.9<\/td>\n<\/tr>\n
5Mi<\/td>\n8<\/td>\nE1<\/td>\nE1<\/td>\n41.2<\/td>\n<\/tr>\n
6Fa<\/td>\n9<\/td>\nF1<\/td>\nF1<\/td>\n43.6<\/td>\n<\/tr>\n
7#Fa<\/td>\n10<\/td>\n#F1<\/td>\n#F1<\/td>\n46.2<\/td>\n<\/tr>\n
8Sol<\/td>\n11<\/td>\nG1<\/td>\nG1<\/td>\n49.0<\/td>\n<\/tr>\n
9#Sol<\/td>\n12<\/td>\n#G1<\/td>\n#G1<\/td>\n51.9<\/td>\n<\/tr>\n
10La<\/td>\n13<\/td>\nA1<\/td>\nA1<\/td>\n55.0<\/td>\n<\/tr>\n
11#La<\/td>\n14<\/td>\n#A1<\/td>\n#A1<\/td>\n58.2<\/td>\n<\/tr>\n
12Si<\/td>\n15<\/td>\nB1<\/td>\nB1<\/td>\n61.7<\/td>\n<\/tr>\n
1Do<\/td>\n16<\/td>\nC<\/td>\nC2<\/td>\n65.4<\/td>\n\u5927\u5b57\u7d44<\/td>\n<\/tr>\n
2#Do<\/td>\n17<\/td>\n#C<\/td>\n#C2<\/td>\n69.2<\/td>\n<\/tr>\n
3Re<\/td>\n18<\/td>\nD<\/td>\nD2<\/td>\n73.2<\/td>\n<\/tr>\n
4#Re<\/td>\n19<\/td>\n#D<\/td>\n#D2<\/td>\n77.8<\/td>\n<\/tr>\n
5Mi<\/td>\n20<\/td>\nE<\/td>\nE2<\/td>\n82.4<\/td>\n<\/tr>\n
6Fa<\/td>\n21<\/td>\nF<\/td>\nF2<\/td>\n87.3<\/td>\n<\/tr>\n
7#Fa<\/td>\n22<\/td>\n#F<\/td>\n#F2<\/td>\n92.4<\/td>\n<\/tr>\n
8Sol<\/td>\n23<\/td>\nG<\/td>\nG2<\/td>\n98<\/td>\n<\/tr>\n
9#Sol<\/td>\n24<\/td>\n#G<\/td>\n#G2<\/td>\n103.8<\/td>\n<\/tr>\n
10La<\/td>\n25<\/td>\nA<\/td>\nA2<\/td>\n110.0<\/td>\n<\/tr>\n
11#La<\/td>\n26<\/td>\n#A<\/td>\n#A2<\/td>\n116.5<\/td>\n<\/tr>\n
12Si<\/td>\n27<\/td>\nB<\/td>\nB2<\/td>\n123.4<\/td>\n<\/tr>\n
1Do<\/td>\n28<\/td>\nc<\/td>\nC3<\/td>\n130.8<\/td>\n\u5c0f\u5b57\u7d44<\/td>\n<\/tr>\n
2#Do<\/td>\n29<\/td>\n#c<\/td>\n#C3<\/td>\n138.5<\/td>\n<\/tr>\n
3Re<\/td>\n30<\/td>\nd<\/td>\nD3<\/td>\n146.8<\/td>\n<\/tr>\n
4#Re<\/td>\n31<\/td>\n#d<\/td>\n#D3<\/td>\n155.6<\/td>\n<\/tr>\n
5Mi<\/td>\n32<\/td>\ne<\/td>\nE3<\/td>\n164.8<\/td>\n<\/tr>\n
6Fa<\/td>\n33<\/td>\nf<\/td>\nF3<\/td>\n174.6<\/td>\n<\/tr>\n
7#Fa<\/td>\n34<\/td>\n#f<\/td>\n#F3<\/td>\n184.9<\/td>\n<\/tr>\n
8Sol<\/td>\n35<\/td>\ng<\/td>\nG3<\/td>\n196.0<\/td>\n<\/tr>\n
9#Sol<\/td>\n36<\/td>\n#g<\/td>\n#G3<\/td>\n207.6<\/td>\n<\/tr>\n
10La<\/td>\n37<\/td>\na<\/td>\nA3<\/td>\n220.0<\/td>\n<\/tr>\n
11#La<\/td>\n38<\/td>\n#a<\/td>\n#A3<\/td>\n233.0<\/td>\n<\/tr>\n
12Si<\/td>\n39<\/td>\nb<\/td>\nB3<\/td>\n247.1<\/td>\n<\/tr>\n
1Do<\/td>\n40<\/td>\nc1<\/td>\nC4<\/td>\n261.6<\/td>\n\u5c0f\u5b57\u4e00\u7d44<\/td>\n<\/tr>\n
2#Do<\/td>\n41<\/td>\n#c1<\/td>\n#C4<\/td>\n277.0<\/td>\n<\/tr>\n
3Re<\/td>\n42<\/td>\nd1<\/td>\nD4<\/td>\n293.6<\/td>\n<\/tr>\n
4#Re<\/td>\n43<\/td>\n#d1<\/td>\n#D4<\/td>\n311.1<\/td>\n<\/tr>\n
5Mi<\/td>\n44<\/td>\ne1<\/td>\nE4<\/td>\n329.6<\/td>\n<\/tr>\n
6Fa<\/td>\n45<\/td>\nf1<\/td>\nF4<\/td>\n349.2<\/td>\n<\/tr>\n
7#Fa<\/td>\n46<\/td>\n#f1<\/td>\n#F4<\/td>\n369.9<\/td>\n<\/tr>\n
8Sol<\/td>\n47<\/td>\ng1<\/td>\nG4<\/td>\n391.9<\/td>\n<\/tr>\n
9#Sol<\/td>\n48<\/td>\n#g1<\/td>\n#G4<\/td>\n415.3<\/td>\n<\/tr>\n
10La<\/td>\n49<\/td>\na1<\/td>\nA4<\/td>\n440.0<\/td>\n<\/tr>\n
11#La<\/td>\n50<\/td>\n#a1<\/td>\n#A4<\/td>\n466.0<\/td>\n<\/tr>\n
12Si<\/td>\n51<\/td>\nb1<\/td>\nB4<\/td>\n493.8<\/td>\n<\/tr>\n
1Do<\/td>\n52<\/td>\nc2<\/td>\nC5<\/td>\n523.2<\/td>\n\u5c0f\u5b57\u4e8c\u7d44<\/td>\n<\/tr>\n
2#Do<\/td>\n53<\/td>\n#c2<\/td>\n#C5<\/td>\n554.3<\/td>\n<\/tr>\n
3Re<\/td>\n54<\/td>\nd2<\/td>\nD5<\/td>\n587.3<\/td>\n<\/tr>\n
4#Re<\/td>\n55<\/td>\n#d2<\/td>\n#D5<\/td>\n622.2<\/td>\n<\/tr>\n
5Mi<\/td>\n56<\/td>\ne2<\/td>\nE5<\/td>\n659.2<\/td>\n<\/tr>\n
6Fa<\/td>\n57<\/td>\nf2<\/td>\nF5<\/td>\n698.4<\/td>\n<\/tr>\n
7#Fa<\/td>\n58<\/td>\n#f2<\/td>\n#F5<\/td>\n739.9<\/td>\n<\/tr>\n
8Sol<\/td>\n59<\/td>\ng2<\/td>\nG5<\/td>\n784.0<\/td>\n<\/tr>\n
9#Sol<\/td>\n60<\/td>\n#g2<\/td>\n#G5<\/td>\n830.6<\/td>\n<\/tr>\n
10La<\/td>\n61<\/td>\na2<\/td>\nA5<\/td>\n880.0<\/td>\n<\/tr>\n
11#La<\/td>\n62<\/td>\n#a2<\/td>\n#A5<\/td>\n932.3<\/td>\n<\/tr>\n
12Si<\/td>\n63<\/td>\nb2<\/td>\nB5<\/td>\n987.7<\/td>\n<\/tr>\n
1Do<\/td>\n64<\/td>\nc3<\/td>\nC6<\/td>\n1046.5<\/td>\n\u5c0f\u5b57\u4e09\u7d44<\/td>\n<\/tr>\n
2#Do<\/td>\n65<\/td>\n#c3<\/td>\n#C6<\/td>\n1108.7<\/td>\n<\/tr>\n
3Re<\/td>\n66<\/td>\nd3<\/td>\nD6<\/td>\n1174.6<\/td>\n<\/tr>\n
4#Re<\/td>\n67<\/td>\n#d3<\/td>\n#D6<\/td>\n1244.5<\/td>\n<\/tr>\n
5Mi<\/td>\n68<\/td>\ne3<\/td>\nE6<\/td>\n1318.5<\/td>\n<\/tr>\n
6Fa<\/td>\n69<\/td>\nf3<\/td>\nF6<\/td>\n1396.9<\/td>\n<\/tr>\n
7#Fa<\/td>\n70<\/td>\n#f3<\/td>\n#F6<\/td>\n1479.9<\/td>\n<\/tr>\n
8Sol<\/td>\n71<\/td>\ng3<\/td>\nG6<\/td>\n1567.9<\/td>\n<\/tr>\n
9#Sol<\/td>\n72<\/td>\n#g3<\/td>\n#G6<\/td>\n1661.2<\/td>\n<\/tr>\n
10La<\/td>\n73<\/td>\na3<\/td>\nA6<\/td>\n1760.0<\/td>\n<\/tr>\n
11#La<\/td>\n74<\/td>\n#a3<\/td>\n#A6<\/td>\n1864.6<\/td>\n<\/tr>\n
12Si<\/td>\n75<\/td>\nb3<\/td>\nB6<\/td>\n1975.5<\/td>\n<\/tr>\n
1Do<\/td>\n76<\/td>\nc4<\/td>\nC7<\/td>\n2093.0<\/td>\n\u5c0f\u5b57\u56db\u7d44<\/td>\n<\/tr>\n
2#Do<\/td>\n77<\/td>\n#c4<\/td>\n#C7<\/td>\n2217.4<\/td>\n<\/tr>\n
3Re<\/td>\n78<\/td>\nd4<\/td>\nD7<\/td>\n2348.9<\/td>\n<\/tr>\n
4#Re<\/td>\n79<\/td>\n#d4<\/td>\n#D7<\/td>\n2489.0<\/td>\n<\/tr>\n
5Mi<\/td>\n80<\/td>\ne4<\/td>\nE7<\/td>\n2367.0<\/td>\n<\/tr>\n
6Fa<\/td>\n81<\/td>\nf4<\/td>\nF7<\/td>\n2793.8<\/td>\n<\/tr>\n
7#Fa<\/td>\n82<\/td>\n#f4<\/td>\n#F7<\/td>\n2959.9<\/td>\n<\/tr>\n
8Sol<\/td>\n83<\/td>\ng4<\/td>\nG7<\/td>\n3135.9<\/td>\n<\/tr>\n
9#Sol<\/td>\n84<\/td>\n#g4<\/td>\n#G7<\/td>\n3322.4<\/td>\n<\/tr>\n
10La<\/td>\n85<\/td>\na4<\/td>\nA7<\/td>\n3520.0<\/td>\n<\/tr>\n
11#La<\/td>\n86<\/td>\n#a4<\/td>\n#A7<\/td>\n3729.3<\/td>\n<\/tr>\n
12Si<\/td>\n87<\/td>\nb4<\/td>\nB7<\/td>\n3951.1<\/td>\n<\/tr>\n
1Do<\/td>\n88<\/td>\nc5<\/td>\nC8<\/td>\n4186.0<\/td>\n\u5c0f\u5b57\u4e94\u7d44<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n

\u6c42\u983b\u7387\u516c\u5f0f<\/p>\n

F=27.5*2(J-1)\/12<\/sup><\/p>\n

 <\/p>\n

\u6c42\u97f3\u7d1a(\u9375\u865f)\u516c\u5f0f<\/p>\n

J=(12*lg(F\/27.5))\/lg2+1<\/p>\n

 <\/p>\n

F:\u70ba\u983b\u7387,\u55ae\u4f4d\u70ba\u8d6b\u8332(Hz)<\/p>\n

J:\u70ba\u92fc\u7434\u5e8f\u865f,\u5f9e1\u958b\u59cb\u7de8\u865f,\u53ef\u4ee5\u5e36\u5c0f\u6578,\u5c0f\u6578\u90e8\u5206\u70ba\u97f3\u5206\u6578<\/p>\n

1:\u7434\u9375\u865f\u4ee5\u4e00\u958b\u59cb\u7de8\u5740<\/p>\n

12:\u5206\u621012\u500b\u5f8b
\n27.5:\u5982\u904ea1\u7b49\u65bc440\u8d6b\u8332(Hz)\u5247A2\u7b49\u65bc27.5\u8d6b\u8332(Hz)<\/p>\n

 <\/p>\n

 <\/p>\n

\u4f8b\u6c42C2\u97f3\u7b2c52\u9375\u7684\u983b\u7387<\/p>\n

f=27.5*2(52-1)\/12<\/sup><\/p>\n

f=27.5*(12<\/sup>\u221a2)51<\/sup><\/p>\n

f=27.5*19.027314<\/p>\n

f=523.25\u8d6b\u8332(Hz)<\/p>\n

C2\u97f3\u983b\u7387523.25\u8d6b\u8332(Hz)<\/p>\n

 <\/p>\n

\u4f8b\u6c42a1+15\u97f3\u5206\u7b2c49\u9375<\/p>\n

f=27.5*2(49.15-1)\/12<\/sup><\/p>\n

f=27.5*(12<\/sup>\u221a2)48.15<\/sup><\/p>\n

f=27.5*16.139232<\/p>\n

f=443.83\u8d6b\u8332(Hz)<\/p>\n

a1+15\u97f3\u983b\u7387443.83\u8d6b\u8332(Hz)<\/p>\n

 <\/p>\n

 <\/p>\n

\u4f8b\u6c42\u6bd4\u92fc\u7434\u6700\u9ad8\u97f3c5\u9084\u9ad8\u5927\u4e8c\u5ea6\u7684d5\u7b2c90\u9375\u7684\u983b\u7387<\/p>\n

f=27.5*2(90-1)\/12<\/sup><\/p>\n

f=27.5*(12<\/sup>\u221a2)89<\/sup><\/p>\n

f=27.5*170.859501<\/p>\n

f=4698.64\u8d6b\u8332(Hz)<\/p>\n

d5\u97f3\u7b2c90\u9375\u7684\u983b\u73874698.64\u8d6b\u8332(Hz)<\/p>\n

 <\/p>\n

\u6c422000\u983b\u7387(Hz)\u6240\u5c0d\u61c9\u97f3\u7d1a<\/p>\n

J=(12*lg(2000\/27.5))\/lg(2) + 1<\/p>\n

J=(12*1.861697)\/lg(2) + 1<\/p>\n

J=74.21+1<\/p>\n

J=75.21<\/p>\n

2000\u983b\u7387(Hz)\u5c0d\u61c975\u865f\u9375,\u9ad821\u97f3\u5206.<\/p>\n

 <\/p>\n

 <\/p>\n

\u6c424500\u983b\u7387(Hz)\u6240\u5c0d\u61c9\u97f3\u7d1a<\/p>\n

J=(12*lg(4500\/27.5))\/lg(2) + 1<\/p>\n

J=(12*2.21388)\/0.30103 + 1<\/p>\n

J=88.25+1<\/p>\n

J=89.25<\/p>\n

4500\u983b\u7387(Hz)\u5c0d\u61c989\u865f\u9375,\u9ad825\u97f3\u5206<\/p>\n

 <\/p>\n","protected":false},"excerpt":{"rendered":"

  \u5531\u540d \u9375\u865f \u97f3\u540d \u97f3\u540d(\u4ee5A0\u7de8\u5740) \u983b\u7387(Hz) \u97f3\u7d44 1Do \u5927\u5b57\u4e8c\u7d44 2#Do 3Re 4 … <\/p>\n

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