22
7/28/2019 Harmonic Overtone Series 003x http://slidepdf.com/reader/full/harmonic-overtone-series-003x 1/22 C 0 0 0 C 1 0 1 G 1 7 1 C 2 0 2 E 2 4 2 G 2 7 2 A # 2  /B b 2 X 2 C 3 8.175798916 Hz 16.35159783 Hz 24.49971475 Hz 32.70319566 Hz 41.20344461 Hz 48.9994295 Hz 58.27047019 Hz 65.4 4200 cm 2100 cm 1400 cm 1050 cm 837 cm 704 cm 592 cm MIDI # 0 MIDI # 12 MIDI # 19 MIDI # 24 MIDI # 28 MIDI # 31 MIDI # 34 -6,900 Cents -5,700 Cents -5,000 Cents -4,500 Cents -4,100 Cents -3,800 Cents -3,500 Cents C # 0  /D b 0 1 0 C # 1  /D b 1 1 1 G # 1  /A b 1 8 1 C # 2  /D b 2 1 2 F 2 5 2 G # 2  /A b 2 8 2 B 2 L 2 C # 3  /D b 3 8.661957218 Hz 17.32391444 Hz 25.9565436 Hz 34.64782887 Hz 43.65352893 Hz 51.9130872 Hz 61.73541266 Hz 69.2 3964 cm 1990 cm 1320 cm 996 cm 790 cm 665 cm 559 cm MIDI # 1 MIDI # 13 MIDI # 20 MIDI # 25 MIDI # 29 MIDI # 32 MIDI # 35 -6,800 Cents -5,600 Cents -4,900 Cents -4,400 Cents -4,000 Cents -3,700 Cents -3,400 -3,400 D 0 2 0 D 1 2 1 A 1 9 1 D 2 2 2 F # 2  /G b 2 6 2 A 2 9 2 C 3 0 3 D 3 9.177023997 Hz 18.35404799 Hz 27.5 Hz 36.70809599 Hz 46.24930284 Hz 55 Hz 65.40639133 Hz 73.4 3742 cm 1870 cm 1250 cm 940 cm 746 cm 627 cm 527 cm MIDI # 2 MIDI # 14 MIDI # 21 MIDI # 26 MIDI # 30 MIDI # 33 MIDI # 36 -6,700 Cents -5,500 Cents -4,800 Cents -4,300 Cents -3,900 Cents -3,600 Cents -3,300 Cents D # 0  /E b 0 3 0 D # 1  /E b 1 3 1 A # 1  /B b 1 X 1 D # 2  /E b 2 3 2 G 2 7 2 A # 2  /B b 2 X 2 C # 3  /D b 3 1 3 D # 3  /E b 3 9.722718241 Hz 19.44543648 Hz 29.13523509 Hz 38.89087297 Hz 48.9994295 Hz 58.27047019 Hz 69.29565774 Hz 77.7 3532 cm 1770 cm 1180 cm 887 cm 704 cm 592 cm 498 cm MIDI # 3 MIDI # 15 MIDI # 22 MIDI # 27 MIDI # 31 MIDI # 34 MIDI # 37 -6,600 Cents -5,400 Cents -4,700 Cents -4,200 Cents -3,800 Cents -3,500 Cents -3,200 Cents Twelve Tone Name Twelve Tone Name MIDI software and hardware often uses C5 or C3 to represent middle C (note 60). http://library.thinkquest.org/07aug/01053/principles.html f = v/ λ = c/ λ = (2.998 x 108) / (3.970 x 10--15) = 7.552 x 1022 Hz, v = velocity of the wave (m/s); f = frequency (Hz); λ = wavelength (m) v=λ =440*POWER(2,(60-AD310)/12) Scientific pitch notation is one of several methods that name the notes of the standard Western chromatic scale by combining a letter-name, accidentals, and a number identifying the pitch's octave. The definition of scientific pitch notation in this ar proposed to the Acoustical Society of America in 1939,[1] where C0 is in the region of about 16 Hz. Frequency (Hz): Measured in hertz (Hz) or cycles per second. Humans can hear 20Hz - 20kHz Amplitude: Measures displacement of air pressure wave from its mean. Measured in decibels; Wavelength (cm) Twelve Tone Names of the first eight Harmonic Overtones http://www.somascape.org/midi/tech/spec.html http://puter.a-no-ne.com/hiro_tools/waveLength http://www.sengpielaudio.com/calculator-wavelength.htm 0 0 0 1 7 1 0 2 4 2 7 2 X 2 0 3 Twelve Tone Name Twelve Tone Name ©copyright 2013 by Ron Porter All rights reserved; [email protected] 1 0 1 1 8 1 1 2 5 2 8 2 L 2 1 3 2 0 2 1 9 1 2 2 6 2 9 2 0 3 2 3 3 0 3 1 X 1 3 2 7 2 X 2 1 3 3 3

Harmonic Overtone Series 003x

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C0 0 0 C1 0 1 G1 7 1 C2 0 2 E2 4 2 G2 7 2 A#

2 /Bb

2 X 2 C3

8.175798916 Hz 16.35159783 Hz 24.49971475 Hz 32.70319566 Hz 41.20344461 Hz 48.9994295 Hz 58.27047019 Hz 65.4

4200 cm 2100 cm 1400 cm 1050 cm 837 cm 704 cm 592 cm

MIDI # 0 MIDI # 12 MIDI # 19 MIDI # 24 MIDI # 28 MIDI # 31 MIDI # 34

-6,900 Cents -5,700 Cents -5,000 Cents -4,500 Cents -4,100 Cents -3,800 Cents -3,500 Cents

C#0 /D

b0 1 0 C

#1 /D

b1 1 1 G

#1 /A

b1 8 1 C

#2 /D

b2 1 2 F2 5 2 G

#2 /A

b2 8 2 B2 L 2 C

#3 /D

b3

8.661957218 Hz 17.32391444 Hz 25.9565436 Hz 34.64782887 Hz 43.65352893 Hz 51.9130872 Hz 61.73541266 Hz 69.2

3964 cm 1990 cm 1320 cm 996 cm 790 cm 665 cm 559 cm

MIDI # 1 MIDI # 13 MIDI # 20 MIDI # 25 MIDI # 29 MIDI # 32 MIDI # 35

-6,800 Cents -5,600 Cents -4,900 Cents -4,400 Cents -4,000 Cents -3,700 Cents -3,400 -3,400

D0 2 0 D1 2 1 A1 9 1 D2 2 2 F#

2 /Gb

2 6 2 A2 9 2 C3 0 3 D3

9.177023997 Hz 18.35404799 Hz 27.5 Hz 36.70809599 Hz 46.24930284 Hz 55 Hz 65.40639133 Hz 73.4

3742 cm 1870 cm 1250 cm 940 cm 746 cm 627 cm 527 cm

MIDI # 2 MIDI # 14 MIDI # 21 MIDI # 26 MIDI # 30 MIDI # 33 MIDI # 36

-6,700 Cents -5,500 Cents -4,800 Cents -4,300 Cents -3,900 Cents -3,600 Cents -3,300 Cents

D#0 /E

b0 3 0 D#

1 /Eb1 3 1 A#

1 /Bb1 X 1 D#

2 /Eb2 3 2 G2 7 2 A#

2 /Bb2 X 2 C#

3 /Db

3 1 3 D#3 /E

b3

9.722718241 Hz 19.44543648 Hz 29.13523509 Hz 38.89087297 Hz 48.9994295 Hz 58.27047019 Hz 69.29565774 Hz 77.7

3532 cm 1770 cm 1180 cm 887 cm 704 cm 592 cm 498 cm

MIDI # 3 MIDI # 15 MIDI # 22 MIDI # 27 MIDI # 31 MIDI # 34 MIDI # 37

-6,600 Cents -5,400 Cents -4,700 Cents -4,200 Cents -3,800 Cents -3,500 Cents -3,200 Cents

Twelve Tone Name

Twelve Tone Name

MIDI software and hardware often uses C5 or C3 to represent middle C (note 60). http://library.thinkquest.org/07aug/01053/principles.html

f = v/ λ = c/ λ = (2.998 x 108) / (3.970 x 10--15) = 7.552 x 1022 Hz, v = velocity of the wave (m/s); f = frequency (Hz); λ = wavelength (m) v=λ  f 

=440*POWER(2,(60-AD310)/12)

Scientific pitch notation is one of several methods that name the notes of the standard Western chromatic scale by combining a letter-name, accidentals, and a number identifying the pitch's octave. The definition of scientific pitch notation in this ar

proposed to the Acoustical Society of America in 1939,[1] where C0 is in the region of about 16 Hz.

Frequency (Hz): Measured in hertz (Hz) or cycles per second. Humans can hear 20Hz - 20kHz

Amplitude: Measures displacement of air pressure wave from its mean. Measured in decibels; Wavelength (cm)

Twelve Tone Names of the first eight Harmonic Overtones

http://www.somascape.org/midi/tech/spec.html

http://puter.a-no-ne.com/hiro_tools/waveLength

http://www.sengpielaudio.com/calculator-wavelength.htm

0 0 0 1 7 1 0 2 4 2 7 2 X 2 0 3 Twelve Tone Name

Twelve Tone Name

©copyright 2013 by Ron Porter All rights reserved; [email protected]

1 0 1 1 8 1 1 2 5 2 8 2 L 2 1 3

2 0 2 1 9 1 2 2 6 2 9 2 0 3 2 3

3 0 3 1 X 1 3 2 7 2 X 2 1 3 3 3

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E0 4 0 E1 4 1 B1 L 1 E2 4 2 G#

2 /Ab

28 2 B2 L 2 D3 2 3 E3

10.30086115 Hz 20.60172231 Hz 30.86770633 Hz 41.20344461 Hz 51.9130872 Hz 61.73541266 Hz 73.41619198 Hz 82.4

3334 cm 1670 cm 1110 cm 837 cm 665 cm 559 cm 470 cm

MIDI # 4 MIDI # 16 MIDI # 23 MIDI # 28 MIDI # 32 MIDI # 35 MIDI # 38

-6,500 Cents -5,300 Cents -4,600 Cents -4,100 Cents -3,700 Cents -3,400 -3,400 -3,100 Cents

F0 5 0 F1 5 1 C2 0 2 F2 5 2 A2 9 2 C3 0 3 D#

3 /Eb

3 3 3 F3

10.91338223 Hz 21.82676446 Hz 32.70319566 Hz 43.65352893 Hz 55 Hz 65.40639133 Hz 77.78174593 Hz 87.33147 cm 1580 cm 1050 cm 790 cm 627 cm 527 cm 444 cm

MIDI # 5 MIDI # 17 MIDI # 24 MIDI # 29 MIDI # 33 MIDI # 36 MIDI # 39

-6,400 Cents -5,200 Cents -4,500 Cents -4,000 Cents -3,600 Cents -3,300 Cents -3,000 Cents

F#

0 /Gb

0 6 0 F#

1 /Gb

1 6 1 C#

2 /Db2 1 2 F

#2 /G

b2 6 2 A

#2 /B

b2 X 2 C

#3 /D

b3 1 3 E3 4 3 F

#3 /G

b3

11.56232571 Hz 23.12465142 Hz 34.64782887 Hz 46.24930284 Hz 58.27047019 Hz 69.29565774 Hz 82.40688923 Hz 92.4

2961 cm 1490 cm 996 cm 746 cm 592 cm 498 cm 419 cm

MIDI # 6 MIDI # 18 MIDI # 25 MIDI # 30 MIDI # 34 MIDI # 37 MIDI # 40

-6,300 Cents -5,100 Cents -4,400 Cents -3,900 Cents -3,500 Cents -3,200 Cents -2,900 Cents

G0 7 0 G1 7 1 D2 2 2 G2 7 2 B2 L 2 D3 2 3 F3 5 3 G3

12.24985737 Hz 24.49971475 Hz 36.70809599 Hz 48.9994295 Hz 61.73541266 Hz 73.41619198 Hz 87.30705786 Hz 972803 cm 1400 cm 940 cm 704 cm 559 cm 470 cm 395 cm

MIDI # 7 MIDI # 19 MIDI # 26 MIDI # 31 MIDI # 35 MIDI # 38 MIDI # 41

-6,200 Cents -5,000 Cents -4,300 Cents -3,800 Cents -3,400 -3,400 -3,100 Cents -2,800 Cents

G#

0 /Ab0 8 0 G

#1 /A

b1 8 1 D

#2 /E

b2 3 2 G

#2 /A

b2 8 2 C3 0 3 D

#3 /E

b3 3 3 F

#3 /G

b3 6 3 G

#3 /A

b3

12.9782718 Hz 25.9565436 Hz 38.89087297 Hz 51.9130872 Hz 65.40639133 Hz 77.78174593 Hz 92.49860568 Hz 103.

2646 cm 1320 cm 887 cm 665 cm 527 cm 444 cm 373 cm

MIDI # 8 MIDI # 20 MIDI # 27 MIDI # 32 MIDI # 36 MIDI # 39 MIDI # 42

-6,100 Cents -4,900 Cents -4,200 Cents -3,700 Cents -3,300 Cents -3,000 Cents -2,700 Cents

A0 9 0 A1 9 1 E2 4 2 A2 9 2 C#

3 /Db

31 3 E3 4 3 G3 7 3 A3

13.75 Hz 27.5 Hz 41.20344461 Hz 55 Hz 69.29565774 Hz 82.40688923 Hz 97.998859 Hz

2497 cm 1250 cm 837 cm 627 cm 498 cm 419 cm 352 cm

MIDI # 9 MIDI # 21 MIDI # 28 MIDI # 33 MIDI # 37 MIDI # 40 MIDI # 43

-6,000 Cents -4,800 Cents -4,100 Cents -3,600 Cents -3,200 Cents -2,900 Cents -2,600 Cents

Twelve Tone Name

Twelve Tone Name

Twelve Tone Name

4 0 4 1 L 1 4 2 8 2 L 2 2 3 4 3

5 0 5 1 0 2 5 2 9 2 0 3 3 3 5 3

Twelve Tone Name

Twelve Tone Name

Twelve Tone Name

6 0 6 1 1 2 6 2 X 2 1 3 4 3 6 3

7 0 7 1 2 2 7 2 L 2 2 3 5 3 7 3

8 0 8 1 3 2 8 2 0 3 3 3 6 3 8 3

9 0 9 1 4 2 9 2 1 3 4 3 7 3 9 3

©copyright 2013 by Ron Porter All rights reserved; [email protected]

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A#

0 /Bb0

X 0 A#

1 /Bb

1X 1 F2 5 2 A

#2 /B

b2

X 2 D3 2 3 F3 5 3 G#

3 /Ab

38 3 A

#3 /B

b3

14.56761755 Hz 29.13523509 Hz 43.65352893 Hz 58.27047019 Hz 73.41619198 Hz 87.30705786 Hz 103.8261744 Hz 116.

2357 cm 1180 cm 790 cm 592 cm 470 cm 395 cm 332 cm

MIDI # 10 MIDI # 22 MIDI # 29 MIDI # 34 MIDI # 38 MIDI # 41 MIDI # 44

-5,900 Cents -4,700 Cents -4,000 Cents -3,500 Cents -3,100 Cents -2,800 Cents -2,500 Cents

B0 L 0 B1 L 1 F#

2 /Gb

2 6 2 B2 L 2 D#

3 /Eb

3 3 3 F#

3 /Gb3 6 3 A3 9 3 B3

15.43385316Hz

30.86770633Hz

46.24930284Hz

61.73541266Hz

77.78174593Hz

92.49860568Hz

110Hz

123.

2225 cm 1110 cm 746 cm 559 cm 444 cm 373 cm 314 cm

MIDI # 11 MIDI # 23 MIDI # 30 MIDI # 35 MIDI # 39 MIDI # 42 MIDI # 45

-5,800 Cents -4,600 Cents -3,900 Cents -3,400 -3,400 -3,000 Cents -2,700 Cents -2,400 Cents

C1 0 1 C2 0 2 G2 7 2 C3 0 3 E3 4 3 G3 7 3 A#

3 /Bb

3 X 3 C4

16.35159783 Hz 32.70319566 Hz 48.9994295 Hz 65.40639133 Hz 82.40688923 Hz 97.998859 Hz 116.5409404 Hz 130.

2100 cm 1050 cm 704 cm 527 cm 419 cm 352 cm 296 cm

MIDI # 12 MIDI # 24 MIDI # 31 MIDI # 36 MIDI # 40 MIDI # 43 MIDI # 46

-5,700 Cents -4,500 Cents -3,800 Cents -3,300 Cents -2,900 Cents -2,600 Cents -2,300 Cents

C#1 /D

b1

1 1 C#

2 /Db

21 2 G

#2 /A

b2

8 2 C#

3 /Db

31 3 F3 5 3 G

#3 /A

b3

8 3 B3 L 3 C#

4 /Db4

17.32391444 Hz 34.64782887 Hz 51.9130872 Hz 69.29565774 Hz 87.30705786 Hz 103.8261744 Hz 123.4708253 Hz 138.1990 cm 996 cm 665 cm 498 cm 395 cm 332 cm 279 cm

MIDI # 13 MIDI # 25 MIDI # 32 MIDI # 37 MIDI # 41 MIDI # 44 MIDI # 47

-5,600 Cents -4,400 Cents -3,700 Cents -3,200 Cents -2,800 Cents -2,500 Cents -2,200 Cents

D1 2 1 D2 2 2 A2 9 2 D3 2 3 F#

3 /Gb

3 6 3 A3 9 3 C4 0 4 D4

18.35404799 Hz 36.70809599 Hz 55 Hz 73.41619198 Hz 92.49860568 Hz 110 Hz 130.8127827 Hz 146

1870 cm 940 cm 627 cm 470 cm 373 cm 314 cm 264 cm

MIDI # 14 MIDI # 26 MIDI # 33 MIDI # 38 MIDI # 42 MIDI # 45 MIDI # 48

-5,500 Cents -4,300 Cents -3,600 Cents -3,100 Cents -2,700 Cents -2,400 Cents -2,100 Cents

D#1 /E

b1

3 1 D#

2 /Eb2

3 2 A#2 /B

b2

X 2 D#

3 /Eb3

3 3 G3 7 3 A#

3 /Bb3

X 3 C#

4 /Db

41 4 D

#4 /E

b4

19.44543648 Hz 38.89087297 Hz 58.27047019 Hz 77.78174593 Hz 97.998859 Hz 116.5409404 Hz 138.5913155 Hz 155.

1770 cm 887 cm 592 cm 444 cm 352 cm 296 cm 249 cm

MIDI # 15 MIDI # 27 MIDI # 34 MIDI # 39 MIDI # 43 MIDI # 46 MIDI # 49

-5,400 Cents -4,200 Cents -3,500 Cents -3,000 Cents -2,600 Cents -2,300 Cents -2,000 Cents

Twelve Tone Name

Twelve Tone Name

Twelve Tone Name

Twelve Tone Name

Twelve Tone Name

Twelve Tone NameL 0 L 1 6 2 L 2 3 3 6 3 9 3 L 3

0 1 0 2 7 2 0 3 4 3 7 3 X 3 0 4

1 1 1 2 8 2 1 3 5 3 8 3 L 3 1 4

2 1 2 2 9 2 2 3 6 3 9 3 0 4 2 4

3 1 3 2 X 2 3 3 7 3 X 3 1 4 3 4

X 0 X 1 5 2 X 2 2 3 5 3 8 3 X 3

©copyright 2013 by Ron Porter All rights reserved; [email protected]

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E1 4 1 E2 4 2 B2 L 2 E3 4 3 G#

3 /Ab

38 3 B3 L 3 D4 2 4 E4

20.60172231 Hz 41.20344461 Hz 61.73541266 Hz 82.40688923 Hz 103.8261744 Hz 123.4708253 Hz 146.832384 Hz 164.

1670 cm 837 cm 559 cm 419 cm 332 cm 279 cm 235 cm

MIDI # 16 MIDI # 28 MIDI # 35 MIDI # 40 MIDI # 44 MIDI # 47 MIDI # 50

-5,300 Cents -4,100 Cents -3,400 -3,400 -2,900 Cents -2,500 Cents -2,200 Cents -1,900 Cents

F1 5 1 F2 5 2 C3 0 3 F3 5 3 A3 9 3 C4 0 4 D#

4 /Eb

4 3 4 F4

21.82676446 Hz 43.65352893 Hz 65.40639133 Hz 87.30705786 Hz 110 Hz 130.8127827 Hz 155.5634919 Hz 174.

1580 cm 790 cm 527 cm 395 cm 314 cm 264 cm 222 cm

MIDI # 17 MIDI # 29 MIDI # 36 MIDI # 41 MIDI # 45 MIDI # 48 MIDI # 51

-5,200 Cents -4,000 Cents -3,300 Cents -2,800 Cents -2,400 Cents -2,100 Cents -1,800 Cents

F#

1 /Gb

1 6 1 F#

2 /Gb

2 6 2 C#

3 /Db3 1 3 F

#3 /G

b3 6 3 A

#3 /B

b3 X 3 C

#4 /D

b4 1 4 E4 4 4 F

#4 /G

b4

23.12465142 Hz 46.24930284 Hz 69.29565774 Hz 92.49860568 Hz 116.5409404 Hz 138.5913155 Hz 164.8137785 Hz 184.

1490 cm 746 cm 498 cm 373 cm 296 cm 249 cm 209 cm

MIDI # 18 MIDI # 30 MIDI # 37 MIDI # 42 MIDI # 46 MIDI # 49 MIDI # 52

-5,100 Cents -3,900 Cents -3,200 Cents -2,700 Cents -2,300 Cents -2,000 Cents -1,700 Cents

G1 7 1 G2 7 2 D3 2 3 G3 7 3 B3 L 3 D4 2 4 F4 5 4 G4

24.49971475 Hz 48.9994295 Hz 73.41619198 Hz 97.998859 Hz 123.4708253 Hz 146.832384 Hz 174.6141157 Hz 1951400 cm 704 cm 470 cm 352 cm 279 cm 235 cm 198 cm

MIDI # 19 MIDI # 31 MIDI # 38 MIDI # 43 MIDI # 47 MIDI # 50 MIDI # 53

-5,000 Cents -3,800 Cents -3,100 Cents -2,600 Cents -2,200 Cents -1,900 Cents -1,600 Cents

G#

1 /Ab1 8 1 G

#2 /A

b2 8 2 D

#3 /E

b3 3 3 G

#3 /A

b3 8 3 C4 0 4 D

#4 /E

b4 3 4 F

#4 /G

b4 6 4 G

#4 /A

b4

25.9565436 Hz 51.9130872 Hz 77.78174593 Hz 103.8261744 Hz 130.8127827 Hz 155.5634919 Hz 184.9972114 Hz 207.

1320 cm 665 cm 444 cm 332 cm 264 cm 222 cm 186 cm

MIDI # 20 MIDI # 32 MIDI # 39 MIDI # 44 MIDI # 48 MIDI # 51 MIDI # 54

-4,900 Cents -3,700 Cents -3,000 Cents -2,500 Cents -2,100 Cents -1,800 Cents -1,500 Cents

A1 9 1 A2 9 2 E3 4 3 A3 9 3 C#

4 /Db

41 4 E4 4 4 G4 7 4 A4

27.5 Hz 55 Hz 82.40688923 Hz 110 Hz 138.5913155 Hz 164.8137785 Hz 195.997718 Hz

1250 cm 627 cm 419 cm 314 cm 249 cm 209 cm 176 cm

MIDI # 21 MIDI # 33 MIDI # 40 MIDI # 45 MIDI # 49 MIDI # 52 MIDI # 55

-4,800 Cents -3,600 Cents -2,900 Cents -2,400 Cents -2,000 Cents -1,700 Cents -1,400 Cents

Twelve Tone Name

Twelve Tone Name

Twelve Tone Name

Twelve Tone Name

Twelve Tone Name

Twelve Tone Name

9 1 9 2 4 3 9 3 1 4 4 4 7 4 9 4

4 1 4 2 L 2 4 3 8 3 L 3 2 4 4 4

5 1 5 2 0 3 5 3 9 3 0 4 3 4 5 4

6 1 6 2 1 3 6 3 X 3 1 4 4 4 6 4

7 1 7 2 2 3 7 3 L 3 2 4 5 4 7 4

8 1 8 2 3 3 8 3 0 4 3 4 6 4 8 4

©copyright 2013 by Ron Porter All rights reserved; [email protected]

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A#

1 /Bb1

X 1 A#

2 /Bb

2X 2 F3 5 3 A

#3 /B

b3

X 3 D4 2 4 F4 5 4 G#

4 /Ab

48 4 A

#4 /B

b4

29.13523509 Hz 58.27047019 Hz 87.30705786 Hz 116.5409404 Hz 146.832384 Hz 174.6141157 Hz 207.6523488 Hz 233.

1180 cm 592 cm 395 cm 296 cm 235 cm 198 cm 166 cm

MIDI # 22 MIDI # 34 MIDI # 41 MIDI # 46 MIDI # 50 MIDI # 53 MIDI # 56

-4,700 Cents -3,500 Cents -2,800 Cents -2,300 Cents -1,900 Cents -1,600 Cents -1,300 Cents

B1 L 1 B2 L 2 F#

3 /Gb

3 6 3 B3 L 3 D#

4 /Eb

4 3 4 F#

4 /Gb4 6 4 A4 9 4 B4

30.86770633 Hz 61.73541266 Hz 92.49860568 Hz 123.4708253 Hz 155.5634919 Hz 184.9972114 Hz 220 Hz 246.

1110 cm 559 cm 373 cm 279 cm 222 cm 186 cm 157 cm

MIDI # 23 MIDI # 35 MIDI # 42 MIDI # 47 MIDI # 51 MIDI # 54 MIDI # 57

-4,600 Cents -3,400 -3,400 -2,700 Cents -2,200 Cents -1,800 Cents -1,500 Cents -1,200 Cents

C2 0 2 C3 0 3 G3 7 3 C4 0 4 E4 4 4 G4 7 4 A#

4 /Bb

4 X 4 C5

32.70319566 Hz 65.40639133 Hz 97.998859 Hz 130.8127827 Hz 164.8137785 Hz 195.997718 Hz 233.0818808 Hz 261.

1050 cm 527 cm 352 cm 264 cm 209 cm 176 cm 148 cm

MIDI # 24 MIDI # 36 MIDI # 43 MIDI # 48 MIDI # 52 MIDI # 55 MIDI # 58

-4,500 Cents -3,300 Cents -2,600 Cents -2,100 Cents -1,700 Cents -1,400 Cents -1,100 Cents

C#2 /D

b2

1 2 C#

3 /Db

31 3 G

#3 /A

b3

8 3 C#

4 /Db

41 4 F4 5 4 G

#4 /A

b4

8 4 B4 L 4 C#

5 /Db5

34.64782887 Hz 69.29565774 Hz 103.8261744 Hz 138.5913155 Hz 174.6141157 Hz 207.6523488 Hz 246.9416506 Hz 277996 cm 498 cm 332 cm 249 cm 198 cm 166 cm 140 cm

MIDI # 25 MIDI # 37 MIDI # 44 MIDI # 49 MIDI # 53 MIDI # 56 MIDI # 59

-4,400 Cents -3,200 Cents -2,500 Cents -2,000 Cents -1,600 Cents -1,300 Cents -1,000 Cents

D2 2 2 D3 2 3 A3 9 3 D4 2 4 F#

4 /Gb

4 6 4 A4 9 4 C5 0 5 D5

36.70809599 Hz 73.41619198 Hz 110 Hz 146.832384 Hz 184.9972114 Hz 220 Hz 261.6255653 Hz 293.

940 cm 470 cm 314 cm 235 cm 186 cm 157 cm 132 cm

MIDI # 26 MIDI # 38 MIDI # 45 MIDI # 50 MIDI # 54 MIDI # 57 MIDI # 60

-4,300 Cents -3,100 Cents -2,400 Cents -1,900 Cents -1,500 Cents -1,200 Cents -900 Cents

D#2 /E

b2

3 2 D#

3 /Eb3

3 3 A#3 /B

b3

X 3 D#

4 /Eb4

3 4 G4 7 4 A#

4 /Bb4

X 4 C#

5 /Db

51 5 D

#5 /E

b5

38.89087297 Hz 77.78174593 Hz 116.5409404 Hz 155.5634919 Hz 195.997718 Hz 233.0818808 Hz 277.182631 Hz 311.

887 cm 444 cm 296 cm 222 cm 176 cm 148 cm 124 cm

MIDI # 27 MIDI # 39 MIDI # 46 MIDI # 51 MIDI # 55 MIDI # 58 MIDI # 61

-4,200 Cents -3,000 Cents -2,300 Cents -1,800 Cents -1,400 Cents -1,100 Cents -800 Cents

Twelve Tone Name

Twelve Tone Name

Twelve Tone Name

Twelve Tone Name

X 1 X 2 5 3 X 3 2 4 5 4 8 4 X 4

L 1 L 2 6 3 L 3 3 4 6 4 9 4 L 4

0 2 0 3 7 3 0 4 4 4 7 4 X 4 0 5

1 2 1 3 8 3 1 4 5 4 8 4 L 4 1 5

2 2 2 3 9 3 2 4 6 4 9 4 0 5 2 5

Twelve Tone Name3 2 3 3 X 3 3 4 7 4 X 4 1 5 3 5

Twelve Tone Name

©copyright 2013 by Ron Porter All rights reserved; [email protected]

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E2 4 2 E3 4 3 B3 L 3 E4 4 4 G#

4 /Ab

48 4 B4 L 4 D5 2 5 E5

41.20344461 Hz 82.40688923 Hz 123.4708253 Hz 164.8137785 Hz 207.6523488 Hz 246.9416506 Hz 293.6647679 Hz 329.

837 cm 419 cm 279 cm 209 cm 166 cm 140 cm 117 cm

MIDI # 28 MIDI # 40 MIDI # 47 MIDI # 52 MIDI # 56 MIDI # 59 MIDI # 62

-4,100 Cents -2,900 Cents -2,200 Cents -1,700 Cents -1,300 Cents -1,000 Cents -700 Cents

F2 5 2 F3 5 3 C4 0 4 F4 5 4 A4 9 4 C5 0 5 D#

5 /Eb

5 3 5 F5

43.65352893 Hz 87.30705786 Hz 130.8127827 Hz 174.6141157 Hz 220 Hz 261.6255653 Hz 311.1269837 Hz 349.

790 cm 395 cm 264 cm 198 cm 157 cm 132 cm 111 cm

MIDI # 29 MIDI # 41 MIDI # 48 MIDI # 53 MIDI # 57 MIDI # 60 MIDI # 63

-4,000 Cents -2,800 Cents -2,100 Cents -1,600 Cents -1,200 Cents -900 Cents -600 Cents

F#

2 /Gb

2 6 2 F#

3 /Gb

3 6 3 C#

4 /Db4 1 4 F

#4 /G

b4 6 4 A

#4 /B

b4 X 4 C

#5 /D

b5 1 5 E5 4 5 F

#5 /G

b5

46.24930284 Hz 92.49860568 Hz 138.5913155 Hz 184.9972114 Hz 233.0818808 Hz 277.182631 Hz 329.6275569 Hz 369.

746 cm 373 cm 249 cm 186 cm 148 cm 124 cm 105 cm

MIDI # 30 MIDI # 42 MIDI # 49 MIDI # 54 MIDI # 58 MIDI # 61 MIDI # 64

-3,900 Cents -2,700 Cents -2,000 Cents -1,500 Cents -1,100 Cents -800 Cents -500 Cents

G2 7 2 G3 7 3 D4 2 4 G4 7 4 B4 L 4 D5 2 5 F5 5 5 G5

48.9994295 Hz 97.998859 Hz 146.832384 Hz 195.997718 Hz 246.9416506 Hz 293.6647679 Hz 349.2282314 Hz 391704 cm 352 cm 235 cm 176 cm 140 cm 117 cm 98.8 cm

MIDI # 31 MIDI # 43 MIDI # 50 MIDI # 55 MIDI # 59 MIDI # 62 MIDI # 65

-3,800 Cents -2,600 Cents -1,900 Cents -1,400 Cents -1,000 Cents -700 Cents -400 Cents

G#

2 /Ab2 8 2 G

#3 /A

b3 8 3 D

#4 /E

b4 3 4 G

#4 /A

b4 8 4 C5 0 5 D

#5 /E

b5 3 5 F

#5 /G

b5 6 5 G

#5 /A

b5

51.9130872 Hz 103.8261744 Hz 155.5634919 Hz 207.6523488 Hz 261.6255653 Hz 311.1269837 Hz 369.9944227 Hz 415.

665 cm 332 cm 222 cm 166 cm 132 cm 111 cm 93.2 cm

MIDI # 32 MIDI # 44 MIDI # 51 MIDI # 56 MIDI # 60 MIDI # 63 MIDI # 66

-3,700 Cents -2,500 Cents -1,800 Cents -1,300 Cents -900 Cents -600 Cents -300 Cents

A2 9 2 A3 9 3 E4 4 4 A4 9 4 C#

5 /Db

51 5 E5 4 5 G5 7 5 A5

55 Hz 110 Hz 164.8137785 Hz 220 Hz 277.182631 Hz 329.6275569 Hz 391.995436 Hz627 cm 314 cm 209 cm 157 cm 124 cm 105 cm 88 cm

MIDI # 33 MIDI # 45 MIDI # 52 MIDI # 57 MIDI # 61 MIDI # 64 MIDI # 67

-3,600 Cents -2,400 Cents -1,700 Cents -1,200 Cents -800 Cents -500 Cents -200 Cents

Twelve Tone Name5 2 5 3 0 4 5 4 9 4 0 5 3 5 5 5

Twelve Tone Name6 2 6 3 1 4 6 4 X 4 1 5 4 5 6 5

Twelve Tone Name7 2 7 3 2 4 7 4 L 4 2 5 5 5 7 5

Twelve Tone Name4 2 4 3 L 3 4 4 8 4 L 4 2 5 4 5

Twelve Tone Name8 2 8 3 3 4 8 4 0 5 3 5 6 5 8 5

Twelve Tone Name9 2 9 3 4 4 9 4 1 5 4 5 7 5 9 5

©copyright 2013 by Ron Porter All rights reserved; [email protected]

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A#

2 /Bb2

X 2 A#

3 /Bb

3X 3 F4 5 4 A

#4 /B

b4

X 4 D5 2 5 F5 5 5 G#

5 /Ab

58 5 A

#5 /B

b5

58.27047019 Hz 116.5409404 Hz 174.6141157 Hz 233.0818808 Hz 293.6647679 Hz 349.2282314 Hz 415.3046976 Hz 466.

592 cm 296 cm 198 cm 148 cm 117 cm 98.8 cm 83.1 cm

MIDI # 34 MIDI # 46 MIDI # 53 MIDI # 58 MIDI # 62 MIDI # 65 MIDI # 68

-3,500 Cents -2,300 Cents -1,600 Cents -1,100 Cents -700 Cents -400 Cents -100 Cents

B2 L 2 B3 L 3 F#

4 /Gb

4 6 4 B4 L 4 D#

5 /Eb

5 3 5 F#

5 /Gb5 6 5 A5 9 5 B5

61.73541266 Hz 123.4708253 Hz 184.9972114 Hz 246.9416506 Hz 311.1269837 Hz 369.9944227 Hz 440 Hz 493.

559 cm 279 cm 186 cm 140 cm 111 cm 93.2 cm 78.4 cm

MIDI # 35 MIDI # 47 MIDI # 54 MIDI # 59 MIDI # 63 MIDI # 66 MIDI # 69

-3,400 -3,400 -2,200 Cents -1,500 Cents -1,000 Cents -600 Cents -300 Cents 0 Cents

C3 0 3 C4 0 4 G4 7 4 C5 0 5 E5 4 5 G5 7 5 A#

5 /Bb

5 X 5 C6

65.40639133 Hz 130.8127827 Hz 195.997718 Hz 261.6255653 Hz 329.6275569 Hz 391.995436 Hz 466.1637615 Hz 523.

527 cm 264 cm 176 cm 132 cm 105 cm 88 cm 74 cm

MIDI # 36 MIDI # 48 MIDI # 55 MIDI # 60 MIDI # 64 MIDI # 67 MIDI # 70

-3,300 Cents -2,100 Cents -1,400 Cents -900 Cents -500 Cents -200 Cents 100 Cents

C#3 /D

b3

1 3 C#

4 /Db

41 4 G

#4 /A

b4

8 4 C#

5 /Db

51 5 F5 5 5 G

#5 /A

b5

8 5 B5 L 5 C#

6 /Db6

69.29565774 Hz 138.5913155 Hz 207.6523488 Hz 277.182631 Hz 349.2282314 Hz 415.3046976 Hz 493.8833013 Hz 554498 cm 249 cm 166 cm 124 cm 98.8 cm 83.1 cm 69.9 cm

MIDI # 37 MIDI # 49 MIDI # 56 MIDI # 61 MIDI # 65 MIDI # 68 MIDI # 71

-3,200 Cents -2,000 Cents -1,300 Cents -800 Cents -400 Cents -100 Cents 200 Cents

D3 2 3 D4 2 4 A4 9 4 D5 2 5 F#

5 /Gb

5 6 5 A5 9 5 C6 0 6 D6

73.41619198 Hz 146.832384 Hz 220 Hz 293.6647679 Hz 369.9944227 Hz 440 Hz 523.2511306 Hz 587.

470 cm 235 cm 157 cm 117 cm 93.2 cm 78.4 cm 65.9 cm

MIDI # 38 MIDI # 50 MIDI # 57 MIDI # 62 MIDI # 66 MIDI # 69 MIDI # 72

-3,100 Cents -1,900 Cents -1,200 Cents -700 Cents -300 Cents 0 Cents 300 Cents

D#3 /E

b3

3 3 D#

4 /Eb4

3 4 A#4 /B

b4

X 4 D#

5 /Eb5

3 5 G5 7 5 A#

5 /Bb5

X 5 C#

6 /Db

61 6 D

#6 /E

b6

77.78174593 Hz 155.5634919 Hz 233.0818808 Hz 311.1269837 Hz 391.995436 Hz 466.1637615 Hz 554.365262 Hz 622.

444 cm 222 cm 148 cm 111 cm 88 cm 74 cm 62.2 cm

MIDI # 39 MIDI # 51 MIDI # 58 MIDI # 63 MIDI # 67 MIDI # 70 MIDI # 73

-3,000 Cents -1,800 Cents -1,100 Cents -600 Cents -200 Cents 100 Cents 400 Cents

Twelve Tone NameL 2 L 3 6 4 L 4 3 5 6 5 9 5 L 5

Twelve Tone Name0 3 0 4 7 4 0 5 4 5 7 5 X 5 0 6

Twelve Tone Name1 3 1 4 8 4 1 5 5 5 8 5 L 5 1 6

Twelve Tone NameX 2 X 3 5 4 X 4 2 5 5 5 8 5 X 5

Twelve Tone Name2 3 2 4 9 4 2 5 6 5 9 5 0 6 2 6

Twelve Tone Name3 3 3 4 X 4 3 5 7 5 X 5 1 6 3 6

©copyright 2013 by Ron Porter All rights reserved; [email protected]

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E3 4 3 E4 4 4 B4 L 4 E5 4 5 G#

5 /Ab

58 5 B5 L 5 D6 2 6 E6

82.40688923 Hz 164.8137785 Hz 246.9416506 Hz 329.6275569 Hz 415.3046976 Hz 493.8833013 Hz 587.3295358 Hz 659.

419 cm 209 cm 140 cm 105 cm 83.1 cm 69.9 cm 58.7 cm

MIDI # 40 MIDI # 52 MIDI # 59 MIDI # 64 MIDI # 68 MIDI # 71 MIDI # 74

-2,900 Cents -1,700 Cents -1,000 Cents -500 Cents -100 Cents 200 Cents 500 Cents

F3 5 3 F4 5 4 C5 0 5 F5 5 5 A5 9 5 C6 0 6 D#

6 /Eb

6 3 6 F6

87.30705786 Hz 174.6141157 Hz 261.6255653 Hz 349.2282314 Hz 440 Hz 523.2511306 Hz 622.2539674 Hz 698.

395 cm 198 cm 132 cm 98.8 cm 78.4 cm 65.9 cm 55.4 cm

MIDI # 41 MIDI # 53 MIDI # 60 MIDI # 65 MIDI # 69 MIDI # 72 MIDI # 75

-2,800 Cents -1,600 Cents -900 Cents -400 Cents 0 Cents 300 Cents 600 Cents

F#

3 /Gb

3 6 3 F#

4 /Gb

4 6 4 C#

5 /Db5 1 5 F

#5 /G

b5 6 5 A

#5 /B

b5 X 5 C

#6 /D

b6 1 6 E6 4 6 F

#6 /G

b6

92.49860568 Hz 184.9972114 Hz 277.182631 Hz 369.9944227 Hz 466.1637615 Hz 554.365262 Hz 659.2551138 Hz 739.

373 cm 186 cm 124 cm 93.2 cm 74 cm 62.2 cm 52.3 cm

MIDI # 42 MIDI # 54 MIDI # 61 MIDI # 66 MIDI # 70 MIDI # 73 MIDI # 76

-2,700 Cents -1,500 Cents -800 Cents -300 Cents 100 Cents 400 Cents 700 Cents

G3 7 3 G4 7 4 D5 2 5 G5 7 5 B5 L 5 D6 2 6 F6 5 6 G6

97.998859 Hz 195.997718 Hz 293.6647679 Hz 391.995436 Hz 493.8833013 Hz 587.3295358 Hz 698.4564629 Hz 783

352 cm 176 cm 117 cm 88 cm 69.9 cm 58.7 cm 49.4 cm

MIDI # 43 MIDI # 55 MIDI # 62 MIDI # 67 MIDI # 71 MIDI # 74 MIDI # 77

-2,600 Cents -1,400 Cents -700 Cents -200 Cents 200 Cents 500 Cents 800 Cents

G#

3 /Ab3 8 3 G

#4 /A

b4 8 4 D

#5 /E

b5 3 5 G

#5 /A

b5 8 5 C6 0 6 D

#6 /E

b6 3 6 F

#6 /G

b6 6 6 G

#6 /A

b6

103.8261744 Hz 207.6523488 Hz 311.1269837 Hz 415.3046976 Hz 523.2511306 Hz 622.2539674 Hz 739.9888454 Hz 830.

332 cm 166 cm 111 cm 83.1 cm 65.9 cm 55.4 cm 46.6 cm

MIDI # 44 MIDI # 56 MIDI # 63 MIDI # 68 MIDI # 72 MIDI # 75 MIDI # 78

-2,500 Cents -1,300 Cents -600 Cents -100 Cents 300 Cents 600 Cents 900 Cents

A3 9 3 A4 9 4 E5 4 5 A5 9 5 C#

6

 /Db

6

1 6 E6 4 6 G6 7 6 A6

110 Hz 220 Hz 329.6275569 Hz 440 Hz 554.365262 Hz 659.2551138 Hz 783.990872 Hz

314 cm 157 cm 105 cm 78.4 cm 62.2 cm 52.3 cm 44 cm

MIDI # 45 MIDI # 57 MIDI # 64 MIDI # 69 MIDI # 73 MIDI # 76 MIDI # 79

-2,400 Cents -1,200 Cents -500 Cents 0 Cents 400 Cents 700 Cents 1,000 Cents

Twelve Tone Name5 3 5 4 0 5 5 5 9 5 0 6 3 6 5 6

Twelve Tone Name6 3 6 4 1 5 6 5 X 5 1 6 4 6 6 6

Twelve Tone Name7 3 7 4 2 5 7 5 L 5 2 6 5 6 7 6

Twelve Tone Name4 3 4 4 L 4 4 5 8 5 L 5 2 6 4 6

Twelve Tone Name8 3 8 4 3 5 8 5 0 6 3 6 6 6 8 6

Twelve Tone Name9 3 9 4 4 5 9 5 1 6 4 6 7 6 9 6

©copyright 2013 by Ron Porter All rights reserved; [email protected]

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A#

3 /Bb3

X 3 A#

4 /Bb

4X 4 F5 5 5 A

#5 /B

b5

X 5 D6 2 6 F6 5 6 G#

6 /Ab

68 6 A

#6 /B

b6

116.5409404 Hz 233.0818808 Hz 349.2282314 Hz 466.1637615 Hz 587.3295358 Hz 698.4564629 Hz 830.6093952 Hz 932

296 cm 148 cm 98.8 cm 74 cm 58.7 cm 49.4 cm 41.5 cm

MIDI # 46 MIDI # 58 MIDI # 65 MIDI # 70 MIDI # 74 MIDI # 77 MIDI # 80

-2,300 Cents -1,100 Cents -400 Cents 100 Cents 500 Cents 800 Cents 1,100 Cents

B3 L 3 B4 L 4 F#

5 /Gb

5 6 5 B5 L 5 D#

6 /Eb

6 3 6 F#

6 /Gb6 6 6 A6 9 6 B6

123.4708253 Hz 246.9416506 Hz 369.9944227 Hz 493.8833013 Hz 622.2539674 Hz 739.9888454 Hz 880 Hz 987.

279 cm 140 cm 93.2 cm 69.9 cm 55.4 cm 46.6 cm 39.2 cm

MIDI # 47 MIDI # 59 MIDI # 66 MIDI # 71 MIDI # 75 MIDI # 78 MIDI # 81

-2,200 Cents -1,000 Cents -300 Cents 200 Cents 600 Cents 900 Cents 1,200 Cents

C4 0 4 C5 0 5 G5 7 5 C6 0 6 E6 4 6 G6 7 6 A#

6 /Bb

6 X 6 C7

130.8127827 Hz 261.6255653 Hz 391.995436 Hz 523.2511306 Hz 659.2551138 Hz 783.990872 Hz 932.327523 Hz

264 cm 132 cm 88 cm 65.9 cm 52.3 cm 44 cm 37 cm

MIDI # 48 MIDI # 60 MIDI # 67 MIDI # 72 MIDI # 76 MIDI # 79 MIDI # 82

-2,100 Cents -900 Cents -200 Cents 300 Cents 700 Cents 1,000 Cents 1,300 Cents

C#4 /D

b4

1 4 C#

5 /Db

51 5 G

#5 /A

b5

8 5 C#

6 /Db

61 6 F6 5 6 G

#6 /A

b6

8 6 B6 L 6 C#

7 /Db7

138.5913155 Hz 277.182631 Hz 415.3046976 Hz 554.365262 Hz 698.4564629 Hz 830.6093952 Hz 987.7666025 Hz249 cm 124 cm 83.1 cm 62.2 cm 49.4 cm 41.5 cm 34.9 cm

MIDI # 49 MIDI # 61 MIDI # 68 MIDI # 73 MIDI # 77 MIDI # 80 MIDI # 83

-2,000 Cents -800 Cents -100 Cents 400 Cents 800 Cents 1,100 Cents 1,400 Cents

D4 2 4 D5 2 5 A5 9 5 D6 2 6 F#

6 /Gb

6 6 6 A6 9 6 C7 0 7 D7

146.832384 Hz 293.6647679 Hz 440 Hz 587.3295358 Hz 739.9888454 Hz 880 Hz 1,046.50 Hz

235 cm 117 cm 78.4 cm 58.7 cm 46.6 cm 39.2 cm 33 cm

MIDI # 50 MIDI # 62 MIDI # 69 MIDI # 74 MIDI # 78 MIDI # 81 MIDI # 84

-1,900 Cents -700 Cents 0 Cents 500 Cents 900 Cents 1,200 Cents 1,500 Cents

D#4 /E

b4

3 4 D#

5 /Eb5

3 5 A#5 /B

b5

X 5 D#

6 /Eb6

3 6 G6 7 6 A#

6 /Bb6

X 6 C#

7 /Db

71 7 D

#7 /E

b7

155.5634919 Hz 311.1269837 Hz 466.1637615 Hz 622.2539674 Hz 783.990872 Hz 932.327523 Hz 1,108.73 Hz

222 cm 111 cm 74 cm 55.4 cm 44 cm 37 cm 31.1 cm

MIDI # 51 MIDI # 63 MIDI # 70 MIDI # 75 MIDI # 79 MIDI # 82 MIDI # 85

-1,800 Cents -600 Cents 100 Cents 600 Cents 1,000 Cents 1,300 Cents 1,600 Cents

Twelve Tone NameL 3 L 4 6 5 L 5 3 6 6 6 9 6 L 6

Twelve Tone Name0 4 0 5 7 5 0 6 4 6 7 6 X 6 0 7

Twelve Tone Name1 4 1 5 8 5 1 6 5 6 8 6 L 6 1 7

Twelve Tone NameX 3 X 4 5 5 X 5 2 6 5 6 8 6 X 6

Twelve Tone Name2 4 2 5 9 5 2 6 6 6 9 6 0 7 2 7

Twelve Tone Name3 4 3 5 X 5 3 6 7 6 X 6 1 7 3 7

©copyright 2013 by Ron Porter All rights reserved; [email protected]

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E4 4 4 E5 4 5 B5 L 5 E6 4 6 G#

6 /Ab

68 6 B6 L 6 D7 2 7 E7

164.8137785 Hz 329.6275569 Hz 493.8833013 Hz 659.2551138 Hz 830.6093952 Hz 987.7666025 Hz 1,174.66 Hz

209 cm 105 cm 69.9 cm 52.3 cm 41.5 cm 34.9 cm 29.4 cm

MIDI # 52 MIDI # 64 MIDI # 71 MIDI # 76 MIDI # 80 MIDI # 83 MIDI # 86

-1,700 Cents -500 Cents 200 Cents 700 Cents 1,100 Cents 1,400 Cents 1,700 Cents

F4 5 4 F5 5 5 C6 0 6 F6 5 6 A6 9 6 C7 0 7 D#

7 /Eb

7 3 7 F7

174.6141157 Hz 349.2282314 Hz 523.2511306 Hz 698.4564629 Hz 880 Hz 1,046.50 Hz 1,244.51 Hz

198 cm 98.8 cm 65.9 cm 49.4 cm 39.2 cm 33 cm 27.7 cm

MIDI # 53 MIDI # 65 MIDI # 72 MIDI # 77 MIDI # 81 MIDI # 84 MIDI # 87

-1,600 Cents -400 Cents 300 Cents 800 Cents 1,200 Cents 1,500 Cents 1,800 Cents

F#

4 /Gb

4 6 4 F#

5 /Gb

5 6 5 C#

6 /Db6 1 6 F

#6 /G

b6 6 6 A

#6 /B

b6 X 6 C

#7 /D

b7 1 7 E7 4 7 F

#7 /G

b7

184.9972114 Hz 369.9944227 Hz 554.365262 Hz 739.9888454 Hz 932.327523 Hz 1,108.73 Hz 1,318.51 Hz

186 cm 93.2 cm 62.2 cm 46.6 cm 37 cm 31.1 cm 26.2 cm

MIDI # 54 MIDI # 66 MIDI # 73 MIDI # 78 MIDI # 82 MIDI # 85 MIDI # 88

-1,500 Cents -300 Cents 400 Cents 900 Cents 1,300 Cents 1,600 Cents 1,900 Cents

G4 7 4 G5 7 5 D6 2 6 G6 7 6 B6 L 6 D7 2 7 F7 5 7 G7

195.997718 Hz 391.995436 Hz 587.3295358 Hz 783.990872 Hz 987.7666025 Hz 1,174.66 Hz 1,396.91 Hz

176 cm 88 cm 58.7 cm 44 cm 34.9 cm 29.4 cm 24.7 cm

MIDI # 55 MIDI # 67 MIDI # 74 MIDI # 79 MIDI # 83 MIDI # 86 MIDI # 89

-1,400 Cents -200 Cents 500 Cents 1,000 Cents 1,400 Cents 1,700 Cents 2,000 Cents

G#

4 /Ab4 8 4 G

#5 /A

b5 8 5 D

#6 /E

b6 3 6 G

#6 /A

b6 8 6 C7 0 7 D

#7 /E

b7 3 7 F

#7 /G

b7 6 7 G

#7 /A

b7

207.6523488 Hz 415.3046976 Hz 622.2539674 Hz 830.6093952 Hz 1,046.50 Hz 1,244.51 Hz 1,479.98 Hz

166 cm 83.1 cm 55.4 cm 41.5 cm 33 cm 27.7 cm 23.3 cm

MIDI # 56 MIDI # 68 MIDI # 75 MIDI # 80 MIDI # 84 MIDI # 87 MIDI # 90

-1,300 Cents -100 Cents 600 Cents 1,100 Cents 1,500 Cents 1,800 Cents 2,100 Cents

A4 9 4 A5 9 5 E6 4 6 A6 9 6 C#

7 /Db

71 7 E7 4 7 G7 7 7 A7

220 Hz 440 Hz 659.2551138 Hz 880 Hz 1,108.73 Hz 1,318.51 Hz 1,567.98 Hz157 cm 78.4 cm 52.3 cm 39.2 cm 31.1 cm 26.2 cm 22 cm

MIDI # 57 MIDI # 69 MIDI # 76 MIDI # 81 MIDI # 85 MIDI # 88 MIDI # 91

-1,200 Cents 0 Cents 700 Cents 1,200 Cents 1,600 Cents 1,900 Cents 2,200 Cents

Twelve Tone Name5 4 5 5 0 6 5 6 9 6 0 7 3 7 5 7

Twelve Tone Name6 4 6 5 1 6 6 6 X 6 1 7 4 7 6 7

Twelve Tone Name7 4 7 5 2 6 7 6 L 6 2 7 5 7 7 7

Twelve Tone Name4 4 4 5 L 5 4 6 8 6 L 6 2 7 4 7

Twelve Tone Name8 4 8 5 3 6 8 6 0 7 3 7 6 7 8 7

Twelve Tone Name9 4 9 5 4 6 9 6 1 7 4 7 7 7 9 7

©copyright 2013 by Ron Porter All rights reserved; [email protected]

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A#

4 /Bb4

X 4 A#

5 /Bb

5X 5 F6 5 6 A

#6 /B

b6

X 6 D7 2 7 F7 5 7 G#

7 /Ab

78 7 A

#7 /B

b7

233.0818808 Hz 466.1637615 Hz 698.4564629 Hz 932.327523 Hz 1,174.66 Hz 1,396.91 Hz 1,661.22 Hz

148 cm 74 cm 49.4 cm 37 cm 29.4 cm 24.7 cm 20.8 cm

MIDI # 58 MIDI # 70 MIDI # 77 MIDI # 82 MIDI # 86 MIDI # 89 MIDI # 92

-1,100 Cents 100 Cents 800 Cents 1,300 Cents 1,700 Cents 2,000 Cents 2,300 Cents

B4 L 4 B5 L 5 F#

6 /Gb

6 6 6 B6 L 6 D#

7 /Eb

7 3 7 F#

7 /Gb7 6 7 A7 9 7 B7

246.9416506 Hz 493.8833013 Hz 739.9888454 Hz 987.7666025 Hz 1,244.51 Hz 1,479.98 Hz 1,760.00 Hz

140 cm 69.9 cm 46.6 cm 34.9 cm 27.7 cm 23.3 cm 19.6 cm

MIDI # 59 MIDI # 71 MIDI # 78 MIDI # 83 MIDI # 87 MIDI # 90 MIDI # 93

-1,000 Cents 200 Cents 900 Cents 1,400 Cents 1,800 Cents 2,100 Cents 2,400 Cents

C5 0 5 C6 0 6 G6 7 6 C7 0 7 E7 4 7 G7 7 7 A#

7 /Bb

7 X 7 C8

261.6255653 Hz 523.2511306 Hz 783.990872 Hz 1,046.50 Hz 1,318.51 Hz 1,567.98 Hz 1,864.66 Hz

132 cm 65.9 cm 44 cm 33 cm 26.2 cm 22 cm 18.5 cm

MIDI # 60 MIDI # 72 MIDI # 79 MIDI # 84 MIDI # 88 MIDI # 91 MIDI # 94

-900 Cents 300 Cents 1,000 Cents 1,500 Cents 1,900 Cents 2,200 Cents 2,500 Cents

C#5 /D

b5

1 5 C#

6 /Db

61 6 G

#6 /A

b6

8 6 C#

7 /Db

71 7 F7 5 7 G

#7 /A

b7

8 7 B7 L 7 C#

8 /Db8

277.182631 Hz 554.365262 Hz 830.6093952 Hz 1,108.73 Hz 1,396.91 Hz 1,661.22 Hz 1,975.53 Hz124 cm 62.2 cm 41.5 cm 31.1 cm 24.7 cm 20.8 cm 17.5 cm

MIDI # 61 MIDI # 73 MIDI # 80 MIDI # 85 MIDI # 89 MIDI # 92 MIDI # 95

-800 Cents 400 Cents 1,100 Cents 1,600 Cents 2,000 Cents 2,300 Cents 2,600 Cents

D5 2 5 D6 2 6 A6 9 6 D7 2 7 F#

7 /Gb

7 6 7 A7 9 7 C8 0 8 D8

293.6647679 Hz 587.3295358 Hz 880 Hz 1,174.66 Hz 1,479.98 Hz 1,760.00 Hz 2,093.00 Hz

117 cm 58.7 cm 39.2 cm 29.4 cm 23.3 cm 19.6 cm 16.5 cm

MIDI # 62 MIDI # 74 MIDI # 81 MIDI # 86 MIDI # 90 MIDI # 93 MIDI # 96

-700 Cents 500 Cents 1,200 Cents 1,700 Cents 2,100 Cents 2,400 Cents 2,700 Cents

D#5 /E

b5

3 5 D#

6 /Eb6

3 6 A#6 /B

b6

X 6 D#

7 /Eb7

3 7 G7 7 7 A#

7 /Bb7

X 7 C#

8 /Db

81 8 D

#8 /E

b8

311.1269837 Hz 622.2539674 Hz 932.327523 Hz 1,244.51 Hz 1,567.98 Hz 1,864.66 Hz 2,217.46 Hz111 cm 55.4 cm 37 cm 27.7 cm 22 cm 18.5 cm 15.6 cm

MIDI # 63 MIDI # 75 MIDI # 82 MIDI # 87 MIDI # 91 MIDI # 94 MIDI # 97

-600 Cents 600 Cents 1,300 Cents 1,800 Cents 2,200 Cents 2,500 Cents 2,800 Cents

Twelve Tone NameL 4 L 5 6 6 L 6 3 7 6 7 9 7 L 7

Twelve Tone Name0 5 0 6 7 6 0 7 4 7 7 7 X 7 0 8

Twelve Tone Name1 5 1 6 8 6 1 7 5 7 8 7 L 7 1 8

Twelve Tone NameX 4 X 5 5 6 X 6 2 7 5 7 8 7 X 7

Twelve Tone Name2 5 2 6 9 6 2 7 6 7 9 7 0 8 2 8

Twelve Tone Name3 5 3 6 X 6 3 7 7 7 X 7 1 8 3 8

©copyright 2013 by Ron Porter All rights reserved; [email protected]

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E5 4 5 E6 4 6 B6 L 6 E7 4 7 G#

7 /Ab

78 7 B7 L 7 D8 2 8 E8

329.6275569 Hz 659.2551138 Hz 987.7666025 Hz 1,318.51 Hz 1,661.22 Hz 1,975.53 Hz 2,349.32 Hz

105 cm 52.3 cm 34.9 cm 26.2 cm 20.8 cm 17.5 cm 14.7 cm

MIDI # 64 MIDI # 76 MIDI # 83 MIDI # 88 MIDI # 92 MIDI # 95 MIDI # 98

-500 Cents 700 Cents 1,400 Cents 1,900 Cents 2,300 Cents 2,600 Cents 2,900 Cents

F5 5 5 F6 5 6 C7 0 7 F7 5 7 A7 9 7 C8 0 8 D#

8 /Eb

8 3 8 F8

349.2282314 Hz 698.4564629 Hz 1,046.50 Hz 1,396.91 Hz 1,760.00 Hz 2,093.00 Hz 2,489.02 Hz

98.8 cm 49.4 cm 33 cm 24.7 cm 19.6 cm 16.5 cm 13.9 cm

MIDI # 65 MIDI # 77 MIDI # 84 MIDI # 89 MIDI # 93 MIDI # 96 MIDI # 99

-400 Cents 800 Cents 1,500 Cents 2,000 Cents 2,400 Cents 2,700 Cents 3,000 Cents

F#

5 /Gb

5 6 5 F#

6 /Gb

6 6 6 C#

7 /Db7 1 7 F

#7 /G

b7 6 7 A

#7 /B

b7 X 7 C

#8 /D

b8 1 8 E8 4 8 F

#8 /G

b8

369.9944227 Hz 739.9888454 Hz 1,108.73 Hz 1,479.98 Hz 1,864.66 Hz 2,217.46 Hz 2,637.02 Hz

93.2 cm 46.6 cm 31.1 cm 23.3 cm 18.5 cm 15.6 cm 13.1 cm

MIDI # 66 MIDI # 78 MIDI # 85 MIDI # 90 MIDI # 94 MIDI # 97 MIDI # 100

-300 Cents 900 Cents 1,600 Cents 2,100 Cents 2,500 Cents 2,800 Cents 3,100 Cents

G5 7 5 G6 7 6 D7 2 7 G7 7 7 B7 L 7 D8 2 8 F8 5 8 G8

391.995436 Hz 783.990872 Hz 1,174.66 Hz 1,567.98 Hz 1,975.53 Hz 2,349.32 Hz 2,793.83 Hz

88 cm 44 cm 29.4 cm 22 cm 17.5 cm 14.7 cm 12.3 cm

MIDI # 67 MIDI # 79 MIDI # 86 MIDI # 91 MIDI # 95 MIDI # 98 MIDI # 101

-200 Cents 1,000 Cents 1,700 Cents 2,200 Cents 2,600 Cents 2,900 Cents 3,200 Cents

G#

5 /Ab5 8 5 G

#6 /A

b6 8 6 D

#7 /E

b7 3 7 G

#7 /A

b7 8 7 C8 0 8 D

#8 /E

b8 3 8 F

#8 /G

b8 6 8 G

#8 /A

b8

415.3046976 Hz 830.6093952 Hz 1,244.51 Hz 1,661.22 Hz 2,093.00 Hz 2,489.02 Hz 2,959.96 Hz

83.1 cm 41.5 cm 27.7 cm 20.8 cm 16.5 cm 13.9 cm 11.7 cm

MIDI # 68 MIDI # 80 MIDI # 87 MIDI # 92 MIDI # 96 MIDI # 99 MIDI # 102

-100 Cents 1,100 Cents 1,800 Cents 2,300 Cents 2,700 Cents 3,000 Cents 3,300 Cents

A5 9 5 A6 9 6 E7 4 7 A7 9 7 C#

8 /Db

81 8 E8 4 8 G8 7 8 A8

440 Hz 880 Hz 1,318.51 Hz 1,760.00 Hz 2,217.46 Hz 2,637.02 Hz 3,135.96 Hz78.4 cm 39.2 cm 26.2 cm 19.6 cm 15.6 cm 13.1 cm 11 cm

MIDI # 69 MIDI # 81 MIDI # 88 MIDI # 93 MIDI # 97 MIDI # 100 MIDI # 103

0 Cents 1,200 Cents 1,900 Cents 2,400 Cents 2,800 Cents 3,100 Cents 3,400 Cents

Twelve Tone Name5 5 5 6 0 7 5 7 9 7 0 8 3 8 5 8

Twelve Tone Name6 5 6 6 1 7 6 7 X 7 1 8 4 8 6 8

Twelve Tone Name7 5 7 6 2 7 7 7 L 7 2 8 5 8 7 8

Twelve Tone Name4 5 4 6 L 6 4 7 8 7 L 7 2 8 4 8

Twelve Tone Name8 5 8 6 3 7 8 7 0 8 3 8 6 8 8 8

Twelve Tone Name9 5 9 6 4 7 9 7 1 8 4 8 7 8 9 8

©copyright 2013 by Ron Porter All rights reserved; [email protected]

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A#

5 /Bb5

X 5 A#

6 /Bb

6X 6 F7 5 7 A

#7 /B

b7

X 7 D8 2 8 F8 5 8 G#

8 /Ab

88 8 A

#8 /B

b8

466.1637615 Hz 932.327523 Hz 1,396.91 Hz 1,864.66 Hz 2,349.32 Hz 2,793.83 Hz 3,322.44 Hz

74 cm 37 cm 24.7 cm 18.5 cm 14.7 cm 12.3 cm 10.4 cm

MIDI # 70 MIDI # 82 MIDI # 89 MIDI # 94 MIDI # 98 MIDI # 101 MIDI # 104

100 Cents 1,300 Cents 2,000 Cents 2,500 Cents 2,900 Cents 3,200 Cents 3,500 Cents

B5 L 5 B6 L 6 F#

7 /Gb

7 6 7 B7 L 7 D#

8 /Eb

8 3 8 F#

8 /Gb8 6 8 A8 9 8 B8

493.8833013 Hz 987.7666025 Hz 1,479.98 Hz 1,975.53 Hz 2,489.02 Hz 2,959.96 Hz 3,520.00 Hz

69.9 cm 34.9 cm 23.3 cm 17.5 cm 13.9 cm 11.7 cm 9.8 cm

MIDI # 71 MIDI # 83 MIDI # 90 MIDI # 95 MIDI # 99 MIDI # 102 MIDI # 105

200 Cents 1,400 Cents 2,100 Cents 2,600 Cents 3,000 Cents 3,300 Cents 3,600 Cents

C6 0 6 C7 0 7 G7 7 7 C8 0 8 E8 4 8 G8 7 8 A#

8 /Bb

8 X 8 C9

523.2511306 Hz 1,046.50 Hz 1,567.98 Hz 2,093.00 Hz 2,637.02 Hz 3,135.96 Hz 3,729.31 Hz

65.9 cm 33 cm 22 cm 16.5 cm 13.1 cm 11 cm 9.3 cm

MIDI # 72 MIDI # 84 MIDI # 91 MIDI # 96 MIDI # 100 MIDI # 103 MIDI # 106

300 Cents 1,500 Cents 2,200 Cents 2,700 Cents 3,100 Cents 3,400 Cents 3,700 Cents

C#6 /D

b6

1 6 C#

7 /Db

71 7 G

#7 /A

b7

8 7 C#

8 /Db

81 8 F8 5 8 G

#8 /A

b8

8 8 B8 L 8 C#

9 /Db9

554.365262Hz

1,108.73Hz

1,661.22Hz

2,217.46Hz

2,793.83Hz

3,322.44Hz

3,951.07Hz62.2 cm 31.1 cm 20.8 cm 15.6 cm 12.3 cm 10.4 cm 8.7 cm

MIDI # 73 MIDI # 85 MIDI # 92 MIDI # 97 MIDI # 101 MIDI # 104 MIDI # 107

400 Cents 1,600 Cents 2,300 Cents 2,800 Cents 3,200 Cents 3,500 Cents 3,800 Cents

D6 2 6 D7 2 7 A7 9 7 D8 2 8 F#

8 /Gb

8 6 8 A8 9 8 C9 0 9 D9

587.3295358 Hz 1,174.66 Hz 1,760.00 Hz 2,349.32 Hz 2,959.96 Hz 3,520.00 Hz 4,186.01 Hz

58.7 cm 29.4 cm 19.6 cm 14.7 cm 11.7 cm 9.8 cm 8.2 cm

MIDI # 74 MIDI # 86 MIDI # 93 MIDI # 98 MIDI # 102 MIDI # 105 MIDI # 108

500 Cents 1,700 Cents 2,400 Cents 2,900 Cents 3,300 Cents 3,600 Cents 3,900 Cents

D#6 /E

b6

3 6 D#

7 /Eb7

3 7 A#7 /B

b7

X 7 D#

8 /Eb8

3 8 G8 7 8 A#

8 /Bb8

X 8 C#

9 /Db

91 9 D

#9 /E

b9

622.2539674 Hz 1,244.51 Hz 1,864.66 Hz 2,489.02 Hz 3,135.96 Hz 3,729.31 Hz 4,434.92 Hz55.4 cm 27.7 cm 18.5 cm 13.9 cm 11 cm 9.3 cm 7.8 cm

MIDI # 75 MIDI # 87 MIDI # 94 MIDI # 99 MIDI # 103 MIDI # 106 MIDI # 109

600 Cents 1,800 Cents 2,500 Cents 3,000 Cents 3,400 Cents 3,700 Cents 4,000 Cents

Twelve Tone NameL 5 L 6 6 7 L 7 3 8 6 8 9 8 L 8

Twelve Tone Name0 6 0 7 7 7 0 8 4 8 7 8 X 8 0 9

Twelve Tone Name1 6 1 7 8 7 1 8 5 8 8 8 L 8 1 9

Twelve Tone NameX 5 X 6 5 7 X 7 2 8 5 8 8 8 X 8

Twelve Tone Name2 6 2 7 9 7 2 8 6 8 9 8 0 9 2 9

Twelve Tone Name3 6 3 7 X 7 3 8 7 8 X 8 1 9 3 9

©copyright 2013 by Ron Porter All rights reserved; [email protected]

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E6 4 6 E7 4 7 B7 L 7 E8 4 8 G#

8 /Ab

88 8 B8 L 8 D9 2 9 E9

659.2551138 Hz 1,318.51 Hz 1,975.53 Hz 2,637.02 Hz 3,322.44 Hz 3,951.07 Hz 4,698.64 Hz

52.3 cm 26.2 cm 17.5 cm 13.1 cm 10.4 cm 8.7 cm 7.3 cm

MIDI # 76 MIDI # 88 MIDI # 95 MIDI # 100 MIDI # 104 MIDI # 107 MIDI # 110

700 Cents 1,900 Cents 2,600 Cents 3,100 Cents 3,500 Cents 3,800 Cents 4,100 Cents

F6 5 6 F7 5 7 C8 0 8 F8 5 8 A8 9 8 C9 0 9 D#

9 /Eb

9 3 9 F9

698.4564629 Hz 1,396.91 Hz 2,093.00 Hz 2,793.83 Hz 3,520.00 Hz 4,186.01 Hz 4,978.03 Hz

49.4 cm 24.7 cm 16.5 cm 12.3 cm 9.8 cm 8.2 cm 6.9 cm

MIDI # 77 MIDI # 89 MIDI # 96 MIDI # 101 MIDI # 105 MIDI # 108 MIDI # 111

800 Cents 2,000 Cents 2,700 Cents 3,200 Cents 3,600 Cents 3,900 Cents 4,200 Cents

F#

6 /Gb

6 6 6 F#

7 /Gb

7 6 7 C#

8 /Db8 1 8 F

#8 /G

b8 6 8 A

#8 /B

b8 X 8 C

#9 /D

b9 1 9 E9 4 9 F

#9 /G

b9

739.9888454 Hz 1,479.98 Hz 2,217.46 Hz 2,959.96 Hz 3,729.31 Hz 4,434.92 Hz 5,274.04 Hz

46.6 cm 23.3 cm 15.6 cm 11.7 cm 9.3 cm 7.8 cm 6.5375 cm

MIDI # 78 MIDI # 90 MIDI # 97 MIDI # 102 MIDI # 106 MIDI # 109 MIDI # 112

900 Cents 2,100 Cents 2,800 Cents 3,300 Cents 3,700 Cents 4,000 Cents 4,300 Cents

G6 7 6 G7 7 7 D8 2 8 G8 7 8 B8 L 8 D9 2 9 F9 5 9 G9

783.990872 Hz 1,567.98 Hz 2,349.32 Hz 3,135.96 Hz 3,951.07 Hz 4,698.64 Hz 5,587.65 Hz

44 cm 22 cm 14.7 cm 11 cm 8.7 cm 7.3 cm 6.175 cm

MIDI # 79 MIDI # 91 MIDI # 98 MIDI # 103 MIDI # 107 MIDI # 110 MIDI # 113

1,000 Cents 2,200 Cents 2,900 Cents 3,400 Cents 3,800 Cents 4,100 Cents 4,400 Cents

G#

6 /Ab6 8 6 G

#7 /A

b7 8 7 D

#8 /E

b8 3 8 G

#8 /A

b8 8 8 C9 0 9 D

#9 /E

b9 3 9 F

#9 /G

b9 6 9 G

#9 /A

b9

830.6093952 Hz 1,661.22 Hz 2,489.02 Hz 3,322.44 Hz 4,186.01 Hz 4,978.03 Hz 5,919.91 Hz

41.5 cm 20.8 cm 13.9 cm 10.4 cm 8.2 cm 6.9 cm 5.825 cm

MIDI # 80 MIDI # 92 MIDI # 99 MIDI # 104 MIDI # 108 MIDI # 111 MIDI # 114

1,100 Cents 2,300 Cents 3,000 Cents 3,500 Cents 3,900 Cents 4,200 Cents 4,500 Cents

A6 9 6 A7 9 7 E8 4 8 A8 9 8 C#

9 /Db

91 9 E9 4 9 G9 7 9 A9

880 Hz 1,760.00 Hz 2,637.02 Hz 3,520.00 Hz 4,434.92 Hz 5,274.04 Hz 5,919.91 Hz39.2 cm 19.6 cm 13.1 cm 9.8 cm 7.8 cm 6.5375 cm 5.5 cm

MIDI # 81 MIDI # 93 MIDI # 100 MIDI # 105 MIDI # 109 MIDI # 112 MIDI # 115

1,200 Cents 2,400 Cents 3,100 Cents 3,600 Cents 4,000 Cents 4,300 Cents 4,600 Cents

Twelve Tone Name5 6 5 7 0 8 5 8 9 8 0 9 3 9 5 9

Twelve Tone Name6 6 6 7 1 8 6 8 X 8 1 9 4 9 6 9

Twelve Tone Name7 6 7 7 2 8 7 8 L 8 2 9 5 9 7 9

Twelve Tone Name4 6 4 7 L 7 4 8 8 8 L 8 2 9 4 9

Twelve Tone Name8 6 8 7 3 8 8 8 0 9 3 9 6 9 8 9

Twelve Tone Name9 6 9 7 4 8 9 8 1 9 4 9 7 9 9 9

©copyright 2013 by Ron Porter All rights reserved; [email protected]

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A#

6 /Bb6

X 6 A#

7 /Bb

7X 7 F8 5 8 A

#8 /B

b8

X 8 D9 2 9 F9 5 9 G#

9 /Ab

98 9 A

#9 /B

b9

932.327523 Hz 1,864.66 Hz 2,793.83 Hz 3,729.31 Hz 4,698.64 Hz 5,587.65 Hz 6,644.88 Hz

37 cm 18.5 cm 12.3 cm 9.3 cm 7.3 cm 6.175 cm 5.1875 cm

MIDI # 82 MIDI # 94 MIDI # 101 MIDI # 106 MIDI # 110 MIDI # 113 MIDI # 116

1,300 Cents 2,500 Cents 3,200 Cents 3,700 Cents 4,100 Cents 4,400 Cents 4,700 Cents

B6 L 6 B7 L 7 F#

8 /Gb

8 6 8 B8 L 8 D#

9 /Eb

9 3 9 F#

9 /Gb9 6 9 A9 9 9 B9

987.7666025 Hz 1,975.53 Hz 2,959.96 Hz 3,951.07 Hz 4,978.03 Hz 5,919.91 Hz 7,040.00 Hz

34.9 cm 17.5 cm 11.7 cm 8.7 cm 6.9 cm 5.825 cm 4.9 cm

MIDI # 83 MIDI # 95 MIDI # 102 MIDI # 107 MIDI # 111 MIDI # 114 MIDI # 117

1,400 Cents 2,600 Cents 3,300 Cents 3,800 Cents 4,200 Cents 4,500 Cents 4,800 Cents

C7 0 7 C8 0 8 G8 7 8 C9 0 9 E9 4 9 G9 7 9 A#

9 /Bb

9 X 9 C10

1,046.50 Hz 2,093.00 Hz 3,135.96 Hz 4,186.01 Hz 5,274.04 Hz 5,919.91 Hz 7,458.62 Hz

33 cm 16.5 cm 11 cm 8.2 cm 6.5375 cm 5.5 cm 4.625 cm

MIDI # 84 MIDI # 96 MIDI # 103 MIDI # 108 MIDI # 112 MIDI # 115 MIDI # 118

1,500 Cents 2,700 Cents 3,400 Cents 3,900 Cents 4,300 Cents 4,600 Cents 4,900 Cents

C#7 /D

b7

1 7 C#

8 /Db

81 8 G

#8 /A

b8

8 8 C#

9 /Db

91 9 F9 5 9 G

#9 /A

b9

8 9 B9 L 9 C#10 /D

b10

1,108.73 Hz 2,217.46 Hz 3,322.44 Hz 4,434.92 Hz 5,587.65 Hz 6,644.88 Hz 7,902.13 Hz

31.1 cm 15.6 cm 10.4 cm 7.8 cm 6.175 cm 5.1875 cm 4.3625 cm

MIDI # 85 MIDI # 97 MIDI # 104 MIDI # 109 MIDI # 113 MIDI # 116 MIDI # 119

1,600 Cents 2,800 Cents 3,500 Cents 4,000 Cents 4,400 Cents 4,700 Cents 5,000 Cents

D7 2 7 D8 2 8 A8 9 8 D9 2 9 F#

9 /Gb

9 6 9 A9 9 9 C10 0 10 D10

1,174.66 Hz 2,349.32 Hz 3,520.00 Hz 4,698.64 Hz 5,919.91 Hz 7,040.00 Hz 8,372.02 Hz

29.4 cm 14.7 cm 9.8 cm 7.3 cm 5.825 cm 4.9 cm 4.125 cm

MIDI # 86 MIDI # 98 MIDI # 105 MIDI # 110 MIDI # 114 MIDI # 117 MIDI # 120

1,700 Cents 2,900 Cents 3,600 Cents 4,100 Cents 4,500 Cents 4,800 Cents 5,100 Cents

D#7 /E

b7

3 7 D#

8 /Eb8

3 8 A#8 /B

b8

X 8 D#

9 /Eb9

3 9 G9 7 9 A#

9 /Bb9

X 9 C#

10 /Db

101 10 D

#10 /E

b10

1,244.51 Hz 2,489.02 Hz 3,729.31 Hz 4,978.03 Hz 5,919.91 Hz 7,458.62 Hz 8,869.84 Hz27.7 cm 13.9 cm 9.3 cm 6.9 cm 5.5 cm 4.625 cm 3.8875 cm

MIDI # 87 MIDI # 99 MIDI # 106 MIDI # 111 MIDI # 115 MIDI # 118 MIDI # 121

1,800 Cents 3,000 Cents 3,700 Cents 4,200 Cents 4,600 Cents 4,900 Cents 5,200 Cents

Twelve Tone NameL 6 L 7 6 8 L 8 3 9 6 9 9 9 L 9

Twelve Tone Name0 7 0 8 7 8 0 9 4 9 7 9 X 9 0 10

Twelve Tone Name1 7 1 8 8 8 1 9 5 9 8 9 L 9 1 10

Twelve Tone NameX 6 X 7 5 8 X 8 2 9 5 9 8 9 X 9

Twelve Tone Name2 7 2 8 9 8 2 9 6 9 9 9 0 10 2 10

Twelve Tone Name3 7 3 8 X 8 3 9 7 9 X 9 1 10 3 10

©copyright 2013 by Ron Porter All rights reserved; [email protected]

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E7 4 7 E8 4 8 B8 L 8 E9 4 9 G#

9 /Ab

98 9 B9 L 9 D10 2 10 E10

1,318.51 Hz 2,637.02 Hz 3,951.07 Hz 5,274.04 Hz 6,644.88 Hz 7,902.13 Hz 9,397.27 Hz 1

26.2 cm 13.1 cm 8.7 cm 6.5375 cm 5.1875 cm 4.3625 cm 3.675 cm

MIDI # 88 MIDI # 100 MIDI # 107 MIDI # 112 MIDI # 116 MIDI # 119 MIDI # 122

1,900 Cents 3,100 Cents 3,800 Cents 4,300 Cents 4,700 Cents 5,000 Cents 5,300 Cents

F7 5 7 F8 5 8 C9 0 9 F9 5 9 A9 9 9 C10 0 10 D#

10 /Eb

10 3 10 F10

1,396.91 Hz 2,793.83 Hz 4,186.01 Hz 5,587.65 Hz 7,040.00 Hz 8,372.02 Hz 9,956.06 Hz 1

24.7 cm 12.3 cm 8.2 cm 6.175 cm 4.9 cm 4.125 cm 3.4625 cmMIDI # 89 MIDI # 101 MIDI # 108 MIDI # 113 MIDI # 117 MIDI # 120 MIDI # 123

2,000 Cents 3,200 Cents 3,900 Cents 4,400 Cents 4,800 Cents 5,100 Cents 5,400 Cents

F#

7 /Gb

7 6 7 F#

8 /Gb

8 6 8 C#

9 /Db9 1 9 F

#9 /G

b9 6 9 A

#9 /B

b9 X 9 C

#10 /D

b10 1 10 E10 4 10 F

#10 /G

b10

1,479.98 Hz 2,959.96 Hz 4,434.92 Hz 5,919.91 Hz 7,458.62 Hz 8,869.84 Hz 10,548.08 Hz 1

23.3 cm 11.7 cm 7.8 cm 5.825 cm 4.625 cm 3.8875 cm 3.275 cm

MIDI # 90 MIDI # 102 MIDI # 109 MIDI # 114 MIDI # 118 MIDI # 121 MIDI # 124

2,100 Cents 3,300 Cents 4,000 Cents 4,500 Cents 4,900 Cents 5,200 Cents 5,500 Cents

G7 7 7 G8 7 8 D9 2 9 G9 7 9 B9 L 9 D10 2 10 F10 5 10 G10

1,567.98 Hz 3,135.96 Hz 4,698.64 Hz 5,919.91 Hz 7,902.13 Hz 9,397.27 Hz 11,175.30 Hz 1

22 cm 11 cm 7.3 cm 5.5 cm 4.3625 cm 3.675 cm 3.0875 cm

MIDI # 91 MIDI # 103 MIDI # 110 MIDI # 115 MIDI # 119 MIDI # 122 MIDI # 125

2,200 Cents 3,400 Cents 4,100 Cents 4,600 Cents 5,000 Cents 5,300 Cents 5,600 Cents

G#

7 /Ab7 8 7 G

#8 /A

b8 8 8 D

#9 /E

b9 3 9 G

#9 /A

b9 8 9 C10 0 10 D

#10 /E

b10 3 10 F

#10 /G

b10 6 10

1,661.22 Hz 3,322.44 Hz 4,978.03 Hz 6,644.88 Hz 8,372.02 Hz 9,956.06 Hz 11,839.82 Hz

20.8 cm 10.4 cm 6.9 cm 5.1875 cm 4.125 cm 3.4625 cm 2.9125 cm

MIDI # 92 MIDI # 104 MIDI # 111 MIDI # 116 MIDI # 120 MIDI # 123 MIDI # 126

2,300 Cents 3,500 Cents 4,200 Cents 4,700 Cents 5,100 Cents 5,400 Cents 5,700 Cents

A7 9 7 A8 9 8 E9 4 9 A9 9 9 C#10 /D

b10

1 10 E10 4 10 G10 7 10

1,760.00 Hz 3,520.00 Hz 5,274.04 Hz 7,040.00 Hz 8,869.84 Hz 10,548.08 Hz 12,543.85 Hz19.6 cm 9.8 cm 6.5375 cm 4.9 cm 3.8875 cm 3.275 cm 2.75 cm

MIDI # 93 MIDI # 105 MIDI # 112 MIDI # 117 MIDI # 121 MIDI # 124 MIDI # 127

2,400 Cents 3,600 Cents 4,300 Cents 4,800 Cents 5,200 Cents 5,500 Cents 5,800 Cents

Twelve Tone Name5 7 5 8 0 9 5 9 9 9 0 10 3 10 5 10

Twelve Tone Name6 7 6 8 1 9 6 9 X 9 1 10 4 10 6 10

Twelve Tone Name7 7 7 8 2 9 7 9 L 9 2 10 5 10 7 10

Twelve Tone Name4 7 4 8 L 8 4 9 8 9 L 9 2 10 4 10

Twelve Tone Name8 7 8 8 3 9 8 9 0 10 3 10 6 10

Twelve Tone Name9 7 9 8 4 9 9 9 1 10 4 10 7 10

©copyright 2013 by Ron Porter All rights reserved; [email protected]

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A#

7 /Bb7

X 7 A#

8 /Bb

8X 8 F9 5 9 A

#9 /B

b9

X 9 D10 2 10 F10 5 10

1,864.66 Hz 3,729.31 Hz 5,587.65 Hz 7,458.62 Hz 9,397.27 Hz 11,175.30 Hz

18.5 cm 9.3 cm 6.175 cm 4.625 cm 3.675 cm 3.0875 cm

MIDI # 94 MIDI # 106 MIDI # 113 MIDI # 118 MIDI # 122 MIDI # 125

2,500 Cents 3,700 Cents 4,400 Cents 4,900 Cents 5,300 Cents 5,600 Cents

B7 L 7 B8 L 8 F#

9 /Gb

9 6 9 B9 L 9 D#10 /E

b10 3 10 F

#10 /G

b10 6 10

1,975.53 Hz 3,951.07 Hz 5,919.91 Hz 7,902.13 Hz 9,956.06 Hz 11,839.82 Hz

17.5 cm 8.7 cm 5.825 cm 4.3625 cm 3.4625 cm 2.9125 cmMIDI # 95 MIDI # 107 MIDI # 114 MIDI # 119 MIDI # 123 MIDI # 126

2,600 Cents 3,800 Cents 4,500 Cents 5,000 Cents 5,400 Cents 5,700 Cents

C8 0 8 C9 0 9 G9 7 9 C10 0 10 E10 4 10 G10 7 10

2,093.00 Hz 4,186.01 Hz 5,919.91 Hz 8,372.02 Hz 10,548.08 Hz 12,543.85 Hz

16.5 cm 8.2 cm 5.5 cm 4.125 cm 3.275 cm 2.75 cm

MIDI # 96 MIDI # 108 MIDI # 115 MIDI # 120 MIDI # 124 MIDI # 127

2,700 Cents 3,900 Cents 4,600 Cents 5,100 Cents 5,500 Cents 5,800 Cents

C#8 /D

b8

1 8 C#

9 /Db

91 9 G

#9 /A

b9

8 9 C#

10 /Db

101 10 F10 5 10

2,217.46 Hz 4,434.92 Hz 6,644.88 Hz 8,869.84 Hz 11,175.30 Hz

15.6 cm 7.8 cm 5.1875 cm 3.8875 cm 3.0875 cm

MIDI # 97 MIDI # 109 MIDI # 116 MIDI # 121 MIDI # 125

2,800 Cents 4,000 Cents 4,700 Cents 5,200 Cents 5,600 Cents

D8 2 8 D9 2 9 A9 9 9 D10 2 10 F#

10 /Gb

10 6 10

2,349.32 Hz 4,698.64 Hz 7,040.00 Hz 9,397.27 Hz 11,839.82 Hz

14.7 cm 7.3 cm 4.9 cm 3.675 cm 2.9125 cm

MIDI # 98 MIDI # 110 MIDI # 117 MIDI # 122 MIDI # 126

2,900 Cents 4,100 Cents 4,800 Cents 5,300 Cents 5,700 Cents

D#8 /E

b8

3 8 D#

9 /Eb9

3 9 A#9 /B

b9

X 9 D#

10 /Eb10

3 10 G10 7 10

2,489.02 Hz 4,978.03 Hz 7,458.62 Hz 9,956.06 Hz 12,543.85 Hz13.9 cm 6.9 cm 4.625 cm 3.4625 cm 2.75 cm

MIDI # 99 MIDI # 111 MIDI # 118 MIDI # 123 MIDI # 127

3,000 Cents 4,200 Cents 4,900 Cents 5,400 Cents 5,800 Cents

Twelve Tone NameL 7 L 8 6 9 L 9 3 10 6 10

Twelve Tone Name0 8 0 9 7 9 0 10 4 10 7 10

Twelve Tone Name1 8 1 9 8 9 1 10 5 10

Twelve Tone NameX 7 X 8 5 9 X 9 2 10 5 10

Twelve Tone Name2 8 2 9 9 9 2 10 6 10

Twelve Tone Name3 8 3 9 X 9 3 10 7 10

©copyright 2013 by Ron Porter All rights reserved; [email protected]

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E8 4 8 E9 4 9 B9 L 9 E10 4 10

2,637.02 Hz 5,274.04 Hz 7,902.13 Hz 10,548.08 Hz

13.1 cm 6.5375 cm 4.3625 cm 3.275 cm

MIDI # 100 MIDI # 112 MIDI # 119 MIDI # 124

3,100 Cents 4,300 Cents 5,000 Cents 5,500 Cents

F8 5 8 F9 5 9 C10 0 10 F10 5 10

2,793.83 Hz 5,587.65 Hz 8,372.02 Hz 11,175.30 Hz

12.3 cm 6.175 cm 4.125 cm 3.0875 cmMIDI # 101 MIDI # 113 MIDI # 120 MIDI # 125

3,200 Cents 4,400 Cents 5,100 Cents 5,600 Cents

F#

8 /Gb

86 8 F

#9 /G

b9

6 9 C#10 /D

b10

1 10 F#

10 /Gb10

6 10

2,959.96 Hz 5,919.91 Hz 8,869.84 Hz 11,839.82 Hz

11.7 cm 5.825 cm 3.8875 cm 2.9125 cm

MIDI # 102 MIDI # 114 MIDI # 121 MIDI # 126

3,300 Cents 4,500 Cents 5,200 Cents 5,700 Cents

G8 7 8 G9 7 9 D10 2 10 G10 7 10

3,135.96 Hz 5,919.91 Hz 9,397.27 Hz 12,543.85 Hz

11 cm 5.5 cm 3.675 cm 2.75 cmMIDI # 103 MIDI # 115 MIDI # 122 MIDI # 127

3,400 Cents 4,600 Cents 5,300 Cents 5,800 Cents

G#

8 /Ab8 8 8 G

#9 /A

b9 8 9 D

#10 /E

b10 3 10

3,322.44 Hz 6,644.88 Hz 9,956.06 Hz

10.4 cm 5.1875 cm 3.4625 cm

MIDI # 104 MIDI # 116 MIDI # 123

3,500 Cents 4,700 Cents 5,400 Cents

A8 9 8 A9 9 9 E10 4 10

3,520.00 Hz 7,040.00 Hz 10,548.08 Hz

9.8 cm 4.9 cm 3.275 cm

MIDI # 105 MIDI # 117 MIDI # 124

3,600 Cents 4,800 Cents 5,500 Cents

Twelve Tone Name7 8 7 9 2 10 7 10

Twelve Tone Name8 8 8 9 3 10

Twelve Tone Name9 8 9 9 4 10

©copyright 2013 by Ron Porter All rights reserved; [email protected]

Twelve Tone Name

5 8 5 9 0 10 5 10

4 8 4 9 L 9 4 10

Twelve Tone Name

Twelve Tone Name6 8 6 9 1 10 6 10

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A#

8 /Bb8

X 8 A#

9 /Bb

9X 9 F10 5 10

3,729.31 Hz 7,458.62 Hz 11,175.30 Hz

9.3 cm 4.625 cm 3.0875 cm

MIDI # 106 MIDI # 118 MIDI # 125

3,700 Cents 4,900 Cents 5,600 Cents

B8 L 8 B9 L 9 F#10 /G

b10 6 10

3,951.07 Hz 7,902.13 Hz 11,839.82 Hz

8.7 cm 4.3625 cm 2.9125 cmMIDI # 107 MIDI # 119 MIDI # 126

3,800 Cents 5,000 Cents 5,700 Cents

C9 0 9 C10 0 10 G10 7 10

4,186.01 Hz 8,372.02 Hz 12,543.85 Hz

8.2 cm 4.125 cm 2.75 cm

MIDI # 108 MIDI # 120 MIDI # 127

3,900 Cents 5,100 Cents 5,800 Cents

C#9 /D

b9

1 9 C#

10 /Db

101 10

4,434.92 Hz 8,869.84 Hz

7.8 cm 3.8875 cm

MIDI # 109 MIDI # 121

4,000 Cents 5,200 Cents

D9 2 9 D10 2 10

4,698.64 Hz 9,397.27 Hz

7.3 cm 3.675 cm

MIDI # 110 MIDI # 122

4,100 Cents 5,300 Cents

D#9 /E

b9

3 9 D#

10 /Eb10

3 10

4,978.03 Hz 9,956.06 Hz

6.9 cm 3.4625 cm

MIDI # 111 MIDI # 123

4,200 Cents 5,400 Cents

©copyright 2013 by Ron Porter All rights reserved; [email protected]

Twelve Tone NameX 8 X 9 5 10

Twelve Tone NameL 8 L 9 6 10

Twelve Tone Name

Twelve Tone Name

Twelve Tone Name

0 9 0 10 7 10

1 9 1 10

2 9 2 10

Twelve Tone Name3 9 3 10

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E9 4 9 E10 4 10

5,274.04 Hz 10,548.08 Hz

6.5375 cm 3.275 cm

MIDI # 112 MIDI # 124

4,300 Cents 5,500 Cents

F9 5 9 F10 5 10

5,587.65 Hz 11,175.30 Hz

6.175 cm 3.0875 cmMIDI # 113 MIDI # 125

4,400 Cents 5,600 Cents

F#

9 /Gb

96 9 F

#10 /G

b10

6 10

5,919.91 Hz 11,839.82 Hz

5.825 cm 2.9125 cm

MIDI # 114 MIDI # 126

4,500 Cents 5,700 Cents

G9 7 9 G10 7 10

5,919.91 Hz 12,543.85 Hz

5.5 cm 2.75 cmMIDI # 115 MIDI # 127

4,600 Cents 5,800 Cents

G#

9 /Ab9 8 9

6,644.88 Hz

5.1875 cm

MIDI # 116

4,700 Cents

A9 9 9

7,040.00 Hz

4.9 cmMIDI # 117

4,800 Cents

©copyright 2013 by Ron Porter All rights reserved; [email protected]

Twelve Tone Name

Twelve Tone Name4 9 4 10

5 9 5 10

Twelve Tone Name6 9 6 10

Twelve Tone Name7 9 7 10

Twelve Tone Name

Twelve Tone Name

8 9

9 9

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A#

9 /Bb9

X 9

7,458.62 Hz

4.625 cm

MIDI # 118

4,900 Cents

B9 L 9

7,902.13 Hz

4.3625 cmMIDI # 119

5,000 Cents

C10 0 10

8,372.02 Hz

4.125 cm

MIDI # 120

5,100 Cents

C#

10 /Db10 1 10

8,869.84 Hz

3.8875 cmMIDI # 121

5,200 Cents

D10 2 10

9,397.27 Hz

3.675 cm

MIDI # 122

5,300 Cents

D#

10 /Eb

103 10

9,956.06 Hz

3.4625 cm

MIDI # 123

5,400 Cents

©copyright 2013 by Ron Porter All rights reserved; [email protected]

Twelve Tone Name

Twelve Tone Name

X 9

L 9

Twelve Tone Name0 10

Twelve Tone Name

Twelve Tone Name

Twelve Tone Name3 10

2 10

1 10

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E10 4 10

10,548.08 Hz

3.275 cm

MIDI # 124

5,500 Cents

F10 5 10

11,175.30 Hz

3.0875 cm

MIDI # 125

5,600 Cents

F#10 /G

b10

6 10

11,839.82 Hz

2.9125 cm

MIDI # 126

5,700 Cents

G10 7 10

12,543.85 Hz

2.75 cmMIDI # 127

5,800 Cents

©copyright 2013 by Ron Porter All rights reserved; [email protected]

Twelve Tone Name

Twelve Tone Name7 10

6 10

Twelve Tone Name

Twelve Tone Name5 10

4 10