elbasani_tables
Dimension Tables for Band Organ
Pipes
by Marc
Elbasani (020123 MMD)
I've been hesitant to publish these scales because I have not yet tried
them all myself. These pipe ranks are theoretical and not complete,
however some test pipes have been built along the scales and are yielding
relatively reliable results. These scales are for you all to try
out. Creation of these scales was made possible by my friend Paul
F. West; he is the real engineer behind them.
Note that the violins are the only flues that are freined. The
Great Open is of wood, naturally, and not freined. It seems stable
at ten inches of wind pressure, which is what I might be pushing for myself.
It will work on 8 inches though.
I stumbled across the diapason while shortening large strings with a
40% cut-up (standard for band-organs). The result was a flute on
low pressure, but enough harmonics were built up so that it made for a
decent diapason on high pressure. Enjoy all, but build at your own
risk!
Marc Elbasani
23 Jan 2002 01:38:23 -0800
filename="vred.txt"
vpipe v1.0 (5 July 2001)
Rank: red violin
49 pipes starting at C 25
Tuning: A 440.0 Hz at 70.00 F (21.11 C) speed of sound 13567 ips
Scale: 0.886 width at C 37, halving at the 20th
cut up 33.0% of mouth width
Note freq C-C len actual len tuner slot width cut up
C 25 130.8 49.17 50.51 2.686 1.343 0.443
C#26 138.6 46.35 47.65 2.594 1.297 0.428
D 27 146.8 43.69 44.95 2.506 1.253 0.413
D#28 155.6 41.19 42.40 2.421 1.210 0.399
E 29 164.8 38.82 39.99 2.338 1.169 0.386
F 30 174.6 36.59 37.72 2.259 1.129 0.373
F#31 185.0 34.49 35.58 2.182 1.091 0.360
G 32 196.0 32.50 33.56 2.107 1.054 0.348
G#33 207.7 30.63 31.65 2.035 1.018 0.336
A 34 220.0 28.87 29.85 1.966 0.983 0.324
A#35 233.1 27.20 28.15 1.899 0.950 0.313
B 36 246.9 25.64 26.55 1.834 0.917 0.303
C 37 261.6 24.16 25.04 1.772 0.886 0.292
C#38 277.2 22.76 23.62 1.712 0.856 0.282
D 39 293.7 21.45 22.27 1.653 0.827 0.273
D#40 311.1 20.21 21.00 1.597 0.799 0.264
E 41 329.6 19.04 19.81 1.543 0.771 0.255
F 42 349.2 17.93 18.68 1.490 0.745 0.246
F#43 370.0 16.89 17.61 1.439 0.720 0.237
G 44 392.0 15.91 16.61 1.390 0.695 0.229
G#45 415.3 14.99 15.66 1.343 0.671 0.222
A 46 440.0 14.12 14.77 1.297 0.649 0.214
A#47 466.2 13.30 13.93 1.253 0.626 0.207
B 48 493.9 12.52 13.13 1.210 0.605 0.200
C 49 523.3 11.80 12.38 1.169 0.585 0.193
C#50 554.4 11.11 11.67 1.129 0.565 0.186
D 51 587.3 10.46 11.00 1.091 0.545 0.180
D#52 622.3 9.85 10.37 1.054 0.527 0.174
E 53 659.3 9.27 9.78 1.018 0.509 0.168
F 54 698.5 8.73 9.22 0.983 0.492 0.162
F#55 740.0 8.22 8.69 0.950 0.475 0.157
G 56 784.0 7.74 8.19 0.917 0.459 0.151
G#57 830.6 7.28 7.72 0.886 0.443 0.146
A 58 880.0 6.85 7.28 0.856 0.428 0.141
A#59 932.3 6.45 6.86 0.827 0.413 0.136
B 60 987.8 6.07 6.47 0.799 0.399 0.132
C 61 1046.5 5.71 6.10 0.771 0.386 0.127
C#62 1108.7 5.37 5.75 0.745 0.373 0.123
D 63 1174.7 5.06 5.42 0.720 0.360 0.119
D#64 1244.5 4.76 5.10 0.695 0.348 0.115
E 65 1318.5 4.47 4.81 0.671 0.336 0.111
F 66 1396.9 4.21 4.53 0.649 0.324 0.107
F#67 1480.0 3.96 4.27 0.626 0.313 0.103
G 68 1568.0 3.72 4.02 0.605 0.303 0.100
G#69 1661.2 3.50 3.79 0.585 0.292 0.096
A 70 1760.0 3.29 3.57 0.565 0.282 0.093
A#71 1864.7 3.09 3.37 0.545 0.273 0.090
B 72 1975.5 2.91 3.17 0.527 0.263 0.087
C 73 2093.0 2.73 2.99 0.509 0.254 0.084
filename="vd2.txt"
vpipe v1.0 (5 July 2001)
Rank: great diapason 2.0
61 pipes starting at C 25
Tuning: A 440.0 Hz at 70.00 F (21.11 C) speed of sound 13567 ips
Scale: 0.750 width at A#59, halving at the 15th
cut up 40.0% of mouth width
Note freq C-C len actual len tuner slot width cut up
C 25 130.8 44.64 48.25 7.218 3.609 1.444
C#26 138.6 42.05 45.50 6.892 3.446 1.378
D 27 146.8 39.62 42.91 6.581 3.290 1.316
D#28 155.6 37.32 40.46 6.284 3.142 1.257
E 29 164.8 35.16 38.16 6.000 3.000 1.200
F 30 174.6 33.12 35.98 5.729 2.865 1.146
F#31 185.0 31.20 33.93 5.470 2.735 1.094
G 32 196.0 29.39 32.00 5.223 2.612 1.045
G#33 207.7 27.68 30.17 4.987 2.494 0.997
A 34 220.0 26.07 28.45 4.762 2.381 0.952
A#35 233.1 24.56 26.83 4.547 2.274 0.909
B 36 246.9 23.13 25.30 4.342 2.171 0.868
C 37 261.6 21.78 23.86 4.146 2.073 0.829
C#38 277.2 20.51 22.49 3.959 1.979 0.792
D 39 293.7 19.32 21.21 3.780 1.890 0.756
D#40 311.1 18.19 20.00 3.609 1.805 0.722
E 41 329.6 17.13 18.86 3.446 1.723 0.689
F 42 349.2 16.13 17.78 3.290 1.645 0.658
F#43 370.0 15.19 16.76 3.142 1.571 0.628
G 44 392.0 14.31 15.81 3.000 1.500 0.600
G#45 415.3 13.47 14.90 2.865 1.432 0.573
A 46 440.0 12.68 14.05 2.735 1.368 0.547
A#47 466.2 11.94 13.25 2.612 1.306 0.522
B 48 493.9 11.24 12.49 2.494 1.247 0.499
C 49 523.3 10.58 11.77 2.381 1.191 0.476
C#50 554.4 9.96 11.10 2.274 1.137 0.455
D 51 587.3 9.38 10.46 2.171 1.085 0.434
D#52 622.3 8.83 9.87 2.073 1.036 0.415
E 53 659.3 8.31 9.30 1.979 0.990 0.396
F 54 698.5 7.82 8.77 1.890 0.945 0.378
F#55 740.0 7.36 8.26 1.805 0.902 0.361
G 56 784.0 6.93 7.79 1.723 0.862 0.345
G#57 830.6 6.52 7.34 1.645 0.823 0.329
A 58 880.0 6.14 6.92 1.571 0.785 0.314
A#59 932.3 5.78 6.53 1.500 0.750 0.300
B 60 987.8 5.44 6.15 1.432 0.716 0.286
C 61 1046.5 5.11 5.80 1.368 0.684 0.274
C#62 1108.7 4.81 5.47 1.306 0.653 0.261
D 63 1174.7 4.53 5.15 1.247 0.623 0.249
D#64 1244.5 4.26 4.86 1.191 0.595 0.238
E 65 1318.5 4.01 4.58 1.137 0.568 0.227
F 66 1396.9 3.77 4.31 1.085 0.543 0.217
F#67 1480.0 3.55 4.07 1.036 0.518 0.207
G 68 1568.0 3.34 3.83 0.990 0.495 0.198
G#69 1661.2 3.14 3.61 0.945 0.472 0.189
A 70 1760.0 2.95 3.40 0.902 0.451 0.180
A#71 1864.7 2.78 3.21 0.862 0.431 0.172
B 72 1975.5 2.61 3.02 0.823 0.411 0.165
C 73 2093.0 2.46 2.85 0.785 0.393 0.157
C#74 2217.5 2.31 2.68 0.750 0.375 0.150
D 75 2349.3 2.17 2.53 0.716 0.358 0.143
D#76 2489.0 2.04 2.38 0.684 0.342 0.137
E 77 2637.0 1.92 2.25 0.653 0.326 0.131
F 78 2793.8 1.80 2.12 0.623 0.312 0.125
F#79 2960.0 1.70 1.99 0.595 0.298 0.119
G 80 3136.0 1.59 1.88 0.568 0.284 0.114
G#81 3322.4 1.50 1.77 0.543 0.271 0.109
A 82 3520.0 1.41 1.67 0.518 0.259 0.104
A#83 3729.3 1.32 1.57 0.495 0.247 0.099
B 84 3951.1 1.24 1.48 0.472 0.236 0.094
C 85 4186.0 1.17 1.39 0.451 0.226 0.090
filename="vforte.txt"
vpipe v1.0 (5 July 2001)
Rank: forte violin
49 pipes starting at C 25
Tuning: A 440.0 Hz at 70.00 F (21.11 C) speed of sound 13567 ips
Scale: 0.886 width at C 37, halving at the 20th
cut up 40.0% of mouth width
Note freq C-C len actual len tuner slot width cut up
C 25 130.8 49.17 50.51 2.686 1.343 0.537
C#26 138.6 46.35 47.65 2.594 1.297 0.519
D 27 146.8 43.69 44.95 2.506 1.253 0.501
D#28 155.6 41.19 42.40 2.421 1.210 0.484
E 29 164.8 38.82 39.99 2.338 1.169 0.468
F 30 174.6 36.59 37.72 2.259 1.129 0.452
F#31 185.0 34.49 35.58 2.182 1.091 0.436
G 32 196.0 32.50 33.56 2.107 1.054 0.421
G#33 207.7 30.63 31.65 2.035 1.018 0.407
A 34 220.0 28.87 29.85 1.966 0.983 0.393
A#35 233.1 27.20 28.15 1.899 0.950 0.380
B 36 246.9 25.64 26.55 1.834 0.917 0.367
C 37 261.6 24.16 25.04 1.772 0.886 0.354
C#38 277.2 22.76 23.62 1.712 0.856 0.342
D 39 293.7 21.45 22.27 1.653 0.827 0.331
D#40 311.1 20.21 21.00 1.597 0.799 0.319
E 41 329.6 19.04 19.81 1.543 0.771 0.309
F 42 349.2 17.93 18.68 1.490 0.745 0.298
F#43 370.0 16.89 17.61 1.439 0.720 0.288
G 44 392.0 15.91 16.61 1.390 0.695 0.278
G#45 415.3 14.99 15.66 1.343 0.671 0.269
A 46 440.0 14.12 14.77 1.297 0.649 0.259
A#47 466.2 13.30 13.93 1.253 0.626 0.251
B 48 493.9 12.52 13.13 1.210 0.605 0.242
C 49 523.3 11.80 12.38 1.169 0.585 0.234
C#50 554.4 11.11 11.67 1.129 0.565 0.226
D 51 587.3 10.46 11.00 1.091 0.545 0.218
D#52 622.3 9.85 10.37 1.054 0.527 0.211
E 53 659.3 9.27 9.78 1.018 0.509 0.204
F 54 698.5 8.73 9.22 0.983 0.492 0.197
F#55 740.0 8.22 8.69 0.950 0.475 0.190
G 56 784.0 7.74 8.19 0.917 0.459 0.183
G#57 830.6 7.28 7.72 0.886 0.443 0.177
A 58 880.0 6.85 7.28 0.856 0.428 0.171
A#59 932.3 6.45 6.86 0.827 0.413 0.165
B 60 987.8 6.07 6.47 0.799 0.399 0.160
C 61 1046.5 5.71 6.10 0.771 0.386 0.154
C#62 1108.7 5.37 5.75 0.745 0.373 0.149
D 63 1174.7 5.06 5.42 0.720 0.360 0.144
D#64 1244.5 4.76 5.10 0.695 0.348 0.139
E 65 1318.5 4.47 4.81 0.671 0.336 0.134
F 66 1396.9 4.21 4.53 0.649 0.324 0.130
F#67 1480.0 3.96 4.27 0.626 0.313 0.125
G 68 1568.0 3.72 4.02 0.605 0.303 0.121
G#69 1661.2 3.50 3.79 0.585 0.292 0.117
A 70 1760.0 3.29 3.57 0.565 0.282 0.113
A#71 1864.7 3.09 3.37 0.545 0.273 0.109
B 72 1975.5 2.91 3.17 0.527 0.263 0.105
C 73 2093.0 2.73 2.99 0.509 0.254 0.102
filename="trumpet2.txt"
tpipe v1.1 (12 October 2001)
Rank: trumpet2
37 pipes starting at C 25
Tuning: A 440.0 Hz at 70.00 F (21.11 C) speed of sound 13567 ips
Scale: 3.00" width at C 25, halving at the 27.00th
3.50 pipes longer than theoretical resonance
Note freq theor.len resonator back.len width cap shallot tongue boot
C 25 130.8 44.88 40.75 50.25 3.00 1.5 3.75 2.25 8.00
C#26 138.6 42.36 38.40 47.74 2.92 1.5 3.57 2.12 7.83
D 27 146.8 39.98 36.19 45.35 2.85 1.5 3.40 2.00 7.67
D#28 155.6 37.74 34.10 43.10 2.78 1.5 3.23 1.89 7.50
E 29 164.8 35.62 32.13 40.97 2.71 1.5 3.08 1.79 7.33
F 30 174.6 33.62 30.28 38.94 2.64 1.5 2.93 1.69 7.17
F#31 185.0 31.73 28.53 37.03 2.57 1.5 2.80 1.59 7.00
G 32 196.0 29.95 26.88 35.22 2.51 1.5 2.67 1.50 6.83
G#33 207.7 28.27 25.33 33.50 2.44 1.5 2.55 1.42 6.67
A 34 220.0 26.68 23.87 31.87 2.38 1.5 2.43 1.34 6.50
A#35 233.1 25.19 22.49 30.33 2.32 1.5 2.32 1.26 6.33
B 36 246.9 23.77 21.20 28.86 2.26 1.5 2.22 1.19 6.17
C 37 261.6 22.44 20.48 27.98 2.20 1.0 2.13 1.13 6.00
C#38 277.2 21.18 19.33 26.66 2.15 1.0 2.03 1.06 5.83
D 39 293.7 19.99 18.24 25.41 2.09 1.0 1.95 1.00 5.67
D#40 311.1 18.87 17.23 24.23 2.04 1.0 1.87 0.95 5.50
E 41 329.6 17.81 16.27 23.10 1.99 1.0 1.79 0.89 5.33
F 42 349.2 16.81 15.36 22.03 1.94 1.0 1.72 0.84 5.17
F#43 370.0 15.87 14.52 21.02 1.89 1.0 1.65 0.80 5.00
G 44 392.0 14.98 13.72 20.05 1.84 1.0 1.58 0.75 4.83
G#45 415.3 14.14 12.97 19.13 1.80 1.0 1.52 0.71 4.67
A 46 440.0 13.34 12.26 18.26 1.75 1.0 1.47 0.67 4.50
A#47 466.2 12.59 11.60 17.43 1.71 1.0 1.41 0.63 4.33
B 48 493.9 11.89 10.97 16.64 1.66 1.0 1.36 0.60 4.17
C 49 523.3 11.22 10.39 15.89 1.62 1.0 1.31 0.56 4.00
C#50 554.4 10.59 9.84 15.17 1.58 1.0 1.27 0.53 3.83
D 51 587.3 10.00 9.32 14.49 1.54 1.0 1.22 0.50 3.67
D#52 622.3 9.43 8.84 13.84 1.50 1.0 1.18 0.47 3.50
E 53 659.3 8.90 8.38 13.22 1.46 1.0 1.14 0.45 3.33
F 54 698.5 8.40 7.96 12.62 1.42 1.0 1.11 0.42 3.17
F#55 740.0 7.93 7.56 12.06 1.39 1.0 1.07 0.40 3.00
G 56 784.0 7.49 7.18 11.52 1.35 1.0 1.04 0.38 2.83
G#57 830.6 7.07 6.83 11.00 1.32 1.0 1.01 0.35 2.67
A 58 880.0 6.67 6.51 10.51 1.29 1.0 0.98 0.33 2.50
A#59 932.3 6.30 6.20 10.03 1.25 1.0 0.96 0.32 2.33
B 60 987.8 5.94 5.91 9.58 1.22 1.0 0.93 0.30 2.17
C 61 1046.5 5.61 5.64 9.14 1.19 1.0 0.91 0.28 2.00
24 January 2002
|