Mechanical Music Digest  Gallery
You Are Not Logged In Login/Get New Account
Please Log In. Accounts are free!
Logged In users are granted additional features including a more current version of the Archives and a simplified process for submitting articles.
Home Archives Calendar Gallery Store Links Info
MMD > Gallery > Tech > elbasani_tables

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

Home    Archives    Calendar    Gallery    Store    Links    Info   


Enter text below to search the MMD Website with Google



CONTACT FORM: Click HERE to write to the editor, or to post a message about Mechanical Musical Instruments to the MMD

Unless otherwise noted, all opinions are those of the individual authors and may not represent those of the editors. Compilation copyright 1995-2024 by Jody Kravitz.

Please read our Republication Policy before copying information from or creating links to this web site.

Click HERE to contact the webmaster regarding problems with the website.

Please support publication of the MMD by donating online

Please Support Publication of the MMD with your Generous Donation

Pay via PayPal

No PayPal account required

                                     
Translate This Page