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PTUNE.ARJ
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APPENB.TXT
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1991-08-08
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APPENDIX B
**********
When viewing this on the screen there will be a gap between
Chart one and Chart two so when you print it out it will
skip over the page perforation.
NOTE: It may be easier to read the charts if you cut the two
parts of each chart and tape them together.
CHART ONE:
THEORETICAL FUNDAMENTAL PITCHES OF ALL 88 NOTES
OCTAVE -- 1 2 3 4 5
PITCH
A 27.50 55.00 110.00 220.00 440.00
A# 29.14 58.27 116.54 233.08 466.16
B 30.87 61.74 123.47 246.94 493.88
C 32.70 65.41 130.81 261.63 523.25
C# 34.65 69.30 138.59 277.18 554.37
D 36.71 73.42 146.83 293.66 587.33
D# 38.89 77.78 155.56 311.13 622.25
E 41.20 82.41 164.81 329.63 659.26
F 43.65 87.31 174.61 349.23 698.46
F# 46.25 92.50 185.00 369.99 739.99
G 49.00 98.00 196.00 392.00 783.99
G# 51.91 103.83 207.65 415.30 830.61
(chart one continued)
OCTAVE 6 7 8
PITCH
A 880.00 1760.00 3520.00
A# 932.33 1864.66 3729.31
B 987.77 1975.53 3951.07
C 1046.50 2093.00 4186.01
C# 1108.73 2217.46
D 1174.66 2349.32
D# 1244.51 2489.02
E 1318.51 2637.02
F 1396.91 2793.83
F# 1479.98 2959.96
G 1567.98 3135.96
G# 1661.22 3322.44
CHART TWO:
FREQUENCIES OF THE FIRST EIGHT PARTIALS OF EACH NOTE
IN THE TEMPERAMENT OCTAVE
1ST 2ND 3RD 4TH 5TH
(fundamental)
NOTE
C -28 130.81 261.63 392.44 523.25 654.07
C#-29 138.59 277.18 415.77 554.37 692.96
D -30 146.83 293.67 440.50 587.33 734.16
D#-31 155.56 311.13 466.69 622.26 777.82
E -32 164.81 329.63 694.44 659.26 824.07
F -33 174.61 349.23 523.84 698.46 873.07
F#-34 185.00 370.00 554.99 739.99 924.99
G -35 196.00 392.00 587.99 783.99 979.99
G#-36 207.65 415.31 622.96 830.61 1038.26
A -37 220.00 440.00 660.00 880.00 1100.00
A#-38 233.08 466.16 699.25 932.33 1165.41
B -39 246.94 493.88 740.83 987.77 1234.71
C -40 261.63 523.25 784.88 1046.50 1308.13
(chart two continued)
6th 7th 8th
NOTE
C -28 784.88 915.69 1046.50
C#-29 831.55 970.14 1108.73
D -30 881.00 1027.83 1174.66
D#-31 933.38 1088.95 1244.51
E -32 988.88 1153.70 1318.51
F -33 1047.69 1222.30 1396.92
F#-34 1109.99 1294.98 1479.98
G -35 1175.99 1371.99 1567.98
G#-36 1245.92 1453.57 1661.22
A -37 1320.00 1540.00 1760.00
A#-38 1398.49 1631.58 1864.66
B -39 1481.65 1728.59 1975.54
C -40 1569.76 1831.38 2093.01