傅國權 著2006.05.29 鋼琴調音5度4度調法 5度相生律 12平均律 1. A4 =440 2. A4_D4 D4= 440.00x 2/3 =293.33 293.33/ -2cent 293.66 3. D4-G4 G4= 293.33x 4/3 =391.11 391.11/ -4cent 392.00 4. G4_C4 C4= 391.11x 2/3 =260.74 260.74/ -6cent 261.63 5. C4-F4 F4= 260.74x 4/3 =347.65 347.65/ -8cent 349.23 6. F4-bB4 bB4=347.65x 4/3 =463.54 463.54/-10cent 466.16 7. bB4_bE4 bE4=463.53x 2/3 =309.03 309.03/-12cent 311.13 8. bE4-bA4 bA4=309.03x 4/3 =412.04 412.03/-14cent 415.30 9. bA4_bD4 bD4=412.04x 2/3 =274.69 274.69/-16cent 277.18 10 bD4-bG4 bG4=274.69x 4/3 =366.25 366.25/-18cent 369.99 11 A3 =220 12 A3-E4 E4= 220.00x 3/2 =330.00 329.99* 2cent 329.63 13 E4-B4 B4= 330.00x 3/2 =495.00 495.00 4cent 493.89 14 B4-#F4 #F4=495.00x 3/4 =371.25 371.25/ 6cent 369.99 15 #F4-#C #C =371.25x 3/4 =278.44 278.44/ 8cent 277.18 16 #C-#G #G =278.44x 3/2 =417.66 417.66/10cent 415.30 17 #G-#D #D =417.66x 3/4 =313.24 313.24/12cent 311.13 18 #D-#A #A =313.24x 3/2 =469.86 469.86/14cent 466.16 5度相生律和12平均律比教 C bG 293.33-260.74=32.59 Hz 412.04-366.25=45.79 Hz 200/32.59=6.1368 cent 200/45.79=4.36 cent 260.74-261.63=-0.89 Hz 366.25-369.99=-3.74 Hz 6.1368x-0.89=-5.46 cent 4.36x-3.74=-16.3 cent c260.74=-6 cent bG366.25=-16 cent bD G 309.03-274.69=34.34 Hz 440-391.11=48.89 Hz 200/34.34=5.82 cent 200/48.89=4.0908 cent 274.69-277.18=-2.49Hz 391.11-392=-0.89 Hz 5.82x-2.49=-14.49 cent 4.0908x-0.89=-3.64 cent bD274.69=-15 cent G391.11=-4 cent D bA 329.9-293.33=36.57 Hz 463.54-412.04=51.5 Hz 200/36.57=5.4689 cent 200/51.5=3.88 cent 293.33-293.66=-0.33 Hz 412.04-415.3=-3.26 Hz 5.4689x-0.33=-1.8 cent 3.88x-3.26=-12.64 D293.33=-2 cent bA412.04=-13 cent bE A 347.65-309.03=38.62 Hz 200/38.62=5.17 cent 309.03-311.13=-2.1 Hz 5.17x-2.1=-10.85 cent A440=0 cent bE309.03=-11 cent E bB 366.25-330=36.25 Hz 521.48-463.54=57.94 Hz 200/36.25=5.51 cent 200/57.94=3.45 cent 330-329.63=0.37 Hz 463.54-466.16=-2.62 Hz 5.51x0.37=2.03 cent 3.45x-2.62=-9.03 cent E330= 2 cent bB463.54=-9 cent F B 391.11-347.65=43.46 Hz 549.38-495=54.38 Hz 200/43.46=4.6019 cent 200/54.38=3.67 cent 347.65-349.03=-1.58 Hz 495-493.89=1.11 Hz 4.6019x-1.58=-7.27 cent 3.67x1.11=4.07 cent F347.65=-7 cent B495=4 cent