The best option on piano tuning.
P = 1,05707299111
W= 1,06425952555
------27,5 A Key Nº 1
xP= 29,06950 =Bb
xW= 30,93750 =B PIAGUI IV (HZ)
xP= 32,70319 =C Keyboard Tone Frequencies.
xP= 34,56966 =C#
xW= 36,79109 =D
xP= 38,89087 =Eb
xP= 41,11049 =E The optimal 88 tuned frequencies will be
xW= 43,75223 =F given in the coming days.
xP= 46,24930 =F#
xP= 48,88888 =G Enjoy the harmony and brilliance
xW= 52,03046 =Ab of the Piagui IV chords.
xP= 55 =A
xP= 58,13901 =Bb MIDDLE
xW= 61,87500 =B OCTAVE
xP = 65,40637 130,81278 C 261,62556 523,25113 1046,50226 xP = C#
xP = 69,13931 138,27862 C# 276,55731 553,11463 1106,22927 xW= D
xW= 73,58217 147,16434 D 294,32876 588,65752 1177,31504 xP = Eb
xP= 77,78172 155,56345 Eb 311,12698 622,25396 1244,50793 xP = E
xP= 82,22096 164,44192 E 328,88393 657,76786 1315,53572 xW= F
xW= 87,50444 175,00888 F 350,01785 700,03571 1400,07142 xP = F#
xP= 92,49860 184,99716 F# 369,99442 739,98884 1479,97769 xP = G
xP= 97,77777 195,55555 G 391,11111 782,22222 1564,44444 xW= Ab
xW= 104,06093 208,12186 Ab 416,24372 832,48745 1664,97490 xP = A
xP= 110 220 A 440 880 1760 xP = Bb
xP= 116,27803 232,55605 Bb 465,11211 930,22423 1860,44846 xW= B
xW= 123,75 247,5 B 495 990 1980 xP = C
xP= 130,81278 261,62556 2C 523,25113 1046,50226 2093,00452 xP = C#
These are the theoretical tone frequencies before the
needed adjustments that must be done due to the C# 2212,45855 xW=D
imperfections of the ear of man. Once the corrections D 2354,63008 xP =Eb
in all the keys but the middle octave are done, a list of Eb 2489,01587 xP =E
the tuned frequencies establishes the optimal data E 2631,07145 xW=F
to be attained by measuring the pitches already tuned F 2800,14285 xP =F#
by means of an electronic frequency counter. The tuned F# 2959,95538 xP=G
frequency list makes that the tunings by ear of the next G 3128,88888 xW=Ab
keyboard instruments are replaced by frequency Ab 3329,94980 xP =A
measurements of the piano strings. This method A 3520 xP =Bb
reduces the time of tunings, simplifies them Bb 3720,89693 xW=B
considerably and gives accurate results. B 3960 xP =C
.................................................................Key Nº 88 C 4186,00904 Hz
Mario Pizarro
Lima, August 27,2008