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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

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