<Qt> - mensuurtabel 2

Prof.Dr.Godfried-Willem Raes

• Hogeschool Gent
• Departement Muziek & Drama

buislengtes in millimeter, gekorrigeerd met teoretische eindkorrekties

Lengths of the required closed tubes in mm:

Equal temperament quartertones

Physical and Acoustic lenghts and pitches:

TABLE FOR 95% TIN/ 5% ANTIMONY ALLOY TUBING

note: diameters are internal sizes. Add 2xthickness for external diameters!

8' bourdon register - range C-F+

• Diam: 115 length: 1222      L-ak= 1293     frequency:    65.70369      Note:  36
•    labium:  90.321
• Diam: 115 length: 1185      L-ak= 1256     frequency:    67.62895      Note:  36.5
•    labium:  90.321
• Diam: 115 length: 1149      L-ak= 1221     frequency:    69.61063      Note:  37
•    labium:  90.321
• Diam: 115 length: 1115      L-ak= 1186     frequency:    71.65038      Note:  37.5
•    labium:  90.321
• Diam: 115 length: 1081      L-ak= 1152     frequency:    73.74989      Note:  38
•    labium:  90.321
• Diam: 115 length: 1048      L-ak= 1119     frequency:    75.91093      Note:  38.5
•    labium:  90.321
• Diam: 115 length: 1016      L-ak= 1087     frequency:    78.13529      Note:  39
•    labium:  90.321
• Diam: 115 length: 985       L-ak= 1056     frequency:    80.42484      Note:  39.5
•    labium:  90.321
• Diam: 115 length: 955       L-ak= 1026     frequency:    82.78146      Note:  40
•    labium:  90.321
• Diam: 115 length: 926       L-ak= 997      frequency:    85.20714      Note:  40.5
•    labium:  90.321
• Diam: 115 length: 897       L-ak= 969      frequency:    87.7039       Note:  41
•    labium:  90.321
• Diam: 115 length: 870       L-ak= 941      frequency:    90.27383      Note:  41.5
•    labium:  90.321
• Total length of tube for diameter  115  required =  12449  mm

range F# - B+

• Diam: 85 length: 862        L-ak= 914      frequency:    92.91904      Note:  42
•    labium:  66.759
• Diam: 85 length: 836        L-ak= 888      frequency:    95.64178      Note:  42.5
•    labium:  66.759
• Diam: 85 length: 810        L-ak= 863      frequency:    98.4443       Note:  43
•    labium:  66.759
• Diam: 85 length: 786        L-ak= 838      frequency:    101.3289      Note:  43.5
•    labium:  66.759
• Diam: 85 length: 762        L-ak= 814      frequency:    104.2981      Note:  44
•    labium:  66.759
• Diam: 85 length: 739        L-ak= 791      frequency:    107.3543      Note:  44.5
•    labium:  66.759
• Diam: 85 length: 716        L-ak= 769      frequency:    110.5         Note:  45
•    labium:  66.759
• Diam: 85 length: 694        L-ak= 747      frequency:    113.7379      Note:  45.5
•    labium:  66.759
• Diam: 85 length: 673        L-ak= 726      frequency:    117.0707      Note:  46
•    labium:  66.759
• Diam: 85 length: 652        L-ak= 705      frequency:    120.5011      Note:  46.5
•    labium:  66.759
• Diam: 85 length: 632        L-ak= 685      frequency:    124.032       Note:  47
•    labium:  66.759
• Diam: 85 length: 613        L-ak= 665      frequency:    127.6664      Note:  47.5
•    labium:  66.759
• Total length of tube for diameter  85  required =  9135  mm

range co-fo+

• Diam: 67 length: 605        L-ak= 646      frequency:    131.4074      Note:  48
•    labium:  52.6218
• Diam: 67 length: 586        L-ak= 628      frequency:    135.2579      Note:  48.5
•    labium:  52.6218
• Diam: 67 length: 568        L-ak= 610      frequency:    139.2213      Note:  49
•    labium:  52.6218
• Diam: 67 length: 551        L-ak= 593      frequency:    143.3008      Note:  49.5
•    labium:  52.6218
• Diam: 67 length: 534        L-ak= 576      frequency:    147.4998      Note:  50
•    labium:  52.6218
• Diam: 67 length: 518        L-ak= 559      frequency:    151.8219      Note:  50.5
•    labium:  52.6218
• Diam: 67 length: 502        L-ak= 543      frequency:    156.2706      Note:  51
•    labium:  52.6218
• Diam: 67 length: 486        L-ak= 528      frequency:    160.8497      Note:  51.5
•    labium:  52.6218
• Diam: 67 length: 471        L-ak= 513      frequency:    165.5629      Note:  52
•    labium:  52.6218
• Diam: 67 length: 457        L-ak= 498      frequency:    170.4143      Note:  52.5
•    labium:  52.6218
• Diam: 67 length: 443        L-ak= 484      frequency:    175.4078      Note:  53
•    labium:  52.6218
• Diam: 67 length: 429        L-ak= 470      frequency:    180.5476      Note:  53.5
•    labium:  52.6218
• Total length of tube for diameter  67  required =  6767  mm

range fo# - bo+

• Diam: 55 length: 423        L-ak= 457      frequency:    185.8381      Note:  54
•    labium:  43.197
• Diam: 55 length: 410        L-ak= 444      frequency:    191.2836      Note:  54.5
•    labium:  43.197
• Diam: 55 length: 397        L-ak= 431      frequency:    196.8886      Note:  55
•    labium:  43.197
• Diam: 55 length: 385        L-ak= 419      frequency:    202.6579      Note:  55.5
•    labium:  43.197
• Diam: 55 length: 373        L-ak= 407      frequency:    208.5962      Note:  56
•    labium:  43.197
• Diam: 55 length: 361        L-ak= 395      frequency:    214.7085      Note:  56.5
•    labium:  43.197
• Diam: 55 length: 350        L-ak= 384      frequency:    221           Note:  57
•    labium:  43.197
• Diam: 55 length: 339        L-ak= 373      frequency:    227.4758      Note:  57.5
•    labium:  43.197
• Diam: 55 length: 328        L-ak= 363      frequency:    234.1413      Note:  58
•    labium:  43.197
• Diam: 55 length: 318        L-ak= 352      frequency:    241.0022      Note:  58.5
•    labium:  43.197
• Diam: 55 length: 308        L-ak= 342      frequency:    248.0641      Note:  59
•    labium:  43.197
• Diam: 55 length: 298        L-ak= 332      frequency:    255.3329      Note:  59.5
•    labium:  43.197
• Total length of tube for diameter  55  required =  5089  mm

range c'- f+'

• Diam: 41 length: 298        L-ak= 323      frequency:    262.8148      Note:  60
•    labium:  32.2014
• Diam: 41 length: 288        L-ak= 314      frequency:    270.5158      Note:  60.5
•    labium:  32.2014
• Diam: 41 length: 279        L-ak= 305      frequency:    278.4425      Note:  61
•    labium:  32.2014
• Diam: 41 length: 271        L-ak= 296      frequency:    286.6015      Note:  61.5
•    labium:  32.2014
• Diam: 41 length: 262        L-ak= 288      frequency:    294.9996      Note:  62
•    labium:  32.2014
• Diam: 41 length: 254        L-ak= 279      frequency:    303.6437      Note:  62.5
•    labium:  32.2014
• Diam: 41 length: 246        L-ak= 271      frequency:    312.5412      Note:  63
•    labium:  32.2014
• Diam: 41 length: 238        L-ak= 264      frequency:    321.6993      Note:  63.5
•    labium:  32.2014
• Diam: 41 length: 231        L-ak= 256      frequency:    331.1258      Note:  64
•    labium:  32.2014
• Diam: 41 length: 223        L-ak= 249      frequency:    340.8286      Note:  64.5
•    labium:  32.2014
• Diam: 41 length: 216        L-ak= 242      frequency:    350.8156      Note:  65
•    labium:  32.2014
• Diam: 41 length: 209        L-ak= 235      frequency:    361.0953      Note:  65.5
•    labium:  32.2014
• Total length of tube for diameter  41  required =  3939  mm

range f#'-b+'

• Diam: 35 length: 206        L-ak= 228      frequency:    371.6762      Note:  66
•    labium:  27.489
• Diam: 35 length: 200        L-ak= 222      frequency:    382.5671      Note:  66.5
•    labium:  27.489
• Diam: 35 length: 194        L-ak= 215      frequency:    393.7772      Note:  67
•    labium:  27.489
• Diam: 35 length: 188        L-ak= 209      frequency:    405.3158      Note:  67.5
•    labium:  27.489
• Diam: 35 length: 182        L-ak= 203      frequency:    417.1924      Note:  68
•    labium:  27.489
• Diam: 35 length: 176        L-ak= 197      frequency:    429.4171      Note:  68.5
•    labium:  27.489
• Diam: 35 length: 170        L-ak= 192      frequency:    442           Note:  69
•    labium:  27.489
• Diam: 35 length: 165        L-ak= 186      frequency:    454.9515      Note:  69.5
•    labium:  27.489
• Diam: 35 length: 159        L-ak= 181      frequency:    468.2826      Note:  70
•    labium:  27.489
• Diam: 35 length: 154        L-ak= 176      frequency:    482.0044      Note:  70.5
•    labium:  27.489
• Diam: 35 length: 149        L-ak= 171      frequency:    496.1282      Note:  71
•    labium:  27.489
• Diam: 35 length: 144        L-ak= 166      frequency:    510.6658      Note:  71.5
•    labium:  27.489
• Total length of tube for diameter  35  required =  3103  mm

range c'' - f+''

• Diam: 25 length: 146        L-ak= 161      frequency:    525.6295      Note:  72
•    labium:  19.635
• Diam: 25 length: 141        L-ak= 157      frequency:    541.0316      Note:  72.5
•    labium:  19.635
• Diam: 25 length: 137        L-ak= 152      frequency:    556.8851      Note:  73
•    labium:  19.635
• Diam: 25 length: 132        L-ak= 148      frequency:    573.203       Note:  73.5
•    labium:  19.635
• Diam: 25 length: 128        L-ak= 144      frequency:    589.9991      Note:  74
•    labium:  19.635
• Diam: 25 length: 124        L-ak= 139      frequency:    607.2875      Note:  74.5
•    labium:  19.635
• Diam: 25 length: 120        L-ak= 135      frequency:    625.0823      Note:  75
•    labium:  19.635
• Diam: 25 length: 116        L-ak= 132      frequency:    643.3987      Note:  75.5
•    labium:  19.635
• Diam: 25 length: 112        L-ak= 128      frequency:    662.2517      Note:  76
•    labium:  19.635
• Diam: 25 length: 109        L-ak= 124      frequency:    681.6571      Note:  76.5
•    labium:  19.635
• Diam: 25 length: 105        L-ak= 121      frequency:    701.6312      Note:  77
•    labium:  19.635
• Diam: 25 length: 102        L-ak= 117      frequency:    722.1906      Note:  77.5
•    labium:  19.635
• Total length of tube for diameter  25  required =  2548  mm

range f#''-b+''

• Diam: 21 length: 101        L-ak= 114      frequency:    743.3524      Note:  78
•    labium:  16.4934
• Diam: 21 length: 98         L-ak= 111      frequency:    765.1343      Note:  78.5
•    labium:  16.4934
• Diam: 21 length: 94         L-ak= 107      frequency:    787.5544      Note:  79
•    labium:  16.4934
• Diam: 21 length: 91         L-ak= 104      frequency:    810.6315      Note:  79.5
•    labium:  16.4934
• Diam: 21 length: 88         L-ak= 101      frequency:    834.3848      Note:  80
•    labium:  16.4934
• Diam: 21 length: 85         L-ak= 98       frequency:    858.8342      Note:  80.5
•    labium:  16.4934
• Diam: 21 length: 83         L-ak= 96       frequency:    883.9999      Note:  81
•    labium:  16.4934
• Diam: 21 length: 80         L-ak= 93       frequency:    909.9031      Note:  81.5
•    labium:  16.4934
• Diam: 21 length: 77         L-ak= 90       frequency:    936.5653      Note:  82
•    labium:  16.4934
• Diam: 21 length: 75         L-ak= 88       frequency:    964.0088      Note:  82.5
•    labium:  16.4934
• Diam: 21 length: 72         L-ak= 85       frequency:    992.2564      Note:  83
•    labium:  16.4934
• Diam: 21 length: 70         L-ak= 83       frequency:    1021.332      Note:  83.5
•    labium:  16.4934
• Total length of tube for diameter  21  required =  2135  mm

range c'''- f+'''

• Diam: 17 length: 70         L-ak= 80       frequency:    1051.259      Note:  84
•    labium:  13.3518
• Diam: 17 length: 68         L-ak= 78       frequency:    1082.063      Note:  84.5
•    labium:  13.3518
• Diam: 17 length: 65         L-ak= 76       frequency:    1113.77       Note:  85
•    labium:  13.3518
• Diam: 17 length: 63         L-ak= 74       frequency:    1146.406      Note:  85.5
•    labium:  13.3518
• Diam: 17 length: 61         L-ak= 72       frequency:    1179.998      Note:  86
•    labium:  13.3518
• Diam: 17 length: 59         L-ak= 69       frequency:    1214.575      Note:  86.5
•    labium:  13.3518
• Diam: 17 length: 57         L-ak= 67       frequency:    1250.165      Note:  87
•    labium:  13.3518
• Diam: 17 length: 55         L-ak= 66       frequency:    1286.797      Note:  87.5
•    labium:  13.3518
• Diam: 17 length: 53         L-ak= 64       frequency:    1324.503      Note:  88
•    labium:  13.3518
• Diam: 17 length: 51         L-ak= 62       frequency:    1363.314      Note:  88.5
•    labium:  13.3518
• Diam: 17 length: 50         L-ak= 60       frequency:    1403.262      Note:  89
•    labium:  13.3518
• Diam: 17 length: 48         L-ak= 58       frequency:    1444.381      Note:  89.5
•    labium:  13.3518
• Total length of tube for diameter  17  required =  1852  mm

range f#''' - b+'''

• Diam: 15 length: 47         L-ak= 57       frequency:    1486.705      Note:  90
•    labium:  11.781
• Diam: 15 length: 46         L-ak= 55       frequency:    1530.268      Note:  90.5
•    labium:  11.781
• Diam: 15 length: 44         L-ak= 53       frequency:    1575.109      Note:  91
•    labium:  11.781
• Diam: 15 length: 43         L-ak= 52       frequency:    1621.263      Note:  91.5
•    labium:  11.781
• Diam: 15 length: 41         L-ak= 50       frequency:    1668.77       Note:  92
•    labium:  11.781
• Diam: 15 length: 40         L-ak= 49       frequency:    1717.668      Note:  92.5
•    labium:  11.781
• Diam: 15 length: 38         L-ak= 48       frequency:    1768          Note:  93
•    labium:  11.781
• Diam: 15 length: 37         L-ak= 46       frequency:    1819.806      Note:  93.5
•    labium:  11.781
• Diam: 15 length: 36         L-ak= 45       frequency:    1873.131      Note:  94
•    labium:  11.781
• Diam: 15 length: 34         L-ak= 44       frequency:    1928.018      Note:  94.5
•    labium:  11.781
• Diam: 15 length: 33         L-ak= 42       frequency:    1984.513      Note:  95
•    labium:  11.781
• Diam: 15 length: 32         L-ak= 41       frequency:    2042.663      Note:  95.5
•    labium:  11.781
• Total length of tube for diameter  15  required =  1646  mm

range c''''- f+''''

• Diam: 12 length: 32         L-ak= 40       frequency:    2102.518      Note:  96
•    labium:  9.4248
• Diam: 12 length: 31         L-ak= 39       frequency:    2164.126      Note:  96.5
•    labium:  9.4248
• Diam: 12 length: 30         L-ak= 38       frequency:    2227.54       Note:  97
•    labium:  9.4248
• Diam: 12 length: 29         L-ak= 37       frequency:    2292.812      Note:  97.5
•    labium:  9.4248
• Diam: 12 length: 28         L-ak= 36       frequency:    2359.996      Note:  98
•    labium:  9.4248
• Diam: 12 length: 27         L-ak= 34       frequency:    2429.15       Note:  98.5
•    labium:  9.4248
• Diam: 12 length: 26         L-ak= 33       frequency:    2500.329      Note:  99
•    labium:  9.4248
• Diam: 12 length: 25         L-ak= 33       frequency:    2573.595      Note:  99.5
•    labium:  9.4248
• Diam: 12 length: 24         L-ak= 32       frequency:    2649.007      Note:  100
•    labium:  9.4248
• Diam: 12 length: 23         L-ak= 31       frequency:    2726.628      Note:  100.5
•    labium:  9.4248
• Diam: 12 length: 22         L-ak= 30       frequency:    2806.525      Note:  101
•    labium:  9.4248
• Diam: 12 length: 21         L-ak= 29       frequency:    2888.762      Note:  101.5
•    labium:  9.4248
• Total length of tube for diameter  12  required =  1508  mm

range f#''''- b+''''

• Diam: 10 length: 22         L-ak= 28       frequency:    2973.409      Note:  102
•    labium:  7.854
• Diam: 10 length: 21         L-ak= 27       frequency:    3060.537      Note:  102.5
•    labium:  7.854
• Diam: 10 length: 20         L-ak= 26       frequency:    3150.218      Note:  103
•    labium:  7.854
• Diam: 10 length: 20         L-ak= 26       frequency:    3242.526      Note:  103.5
•    labium:  7.854
• Diam: 10 length: 19         L-ak= 25       frequency:    3337.539      Note:  104
•    labium:  7.854
• Diam: 10 length: 18         L-ak= 24       frequency:    3435.337      Note:  104.5
•    labium:  7.854
• Diam: 10 length: 17         L-ak= 24       frequency:    3536          Note:  105
•    labium:  7.854
• Diam: 10 length: 17         L-ak= 23       frequency:    3639.612      Note:  105.5
•    labium:  7.854
• Diam: 10 length: 16         L-ak= 22       frequency:    3746.261      Note:  106
•    labium:  7.854
• Diam: 10 length: 15         L-ak= 22       frequency:    3856.035      Note:  106.5
•    labium:  7.854
• Diam: 10 length: 15         L-ak= 21       frequency:    3969.026      Note:  107
•    labium:  7.854
• Diam: 10 length: 14         L-ak= 20       frequency:    4085.327      Note:  107.5
•    labium:  7.854
• Total length of tube for diameter  10  required =  1414  mm

range c''''' (highest pitch)

• Diam: 8 length: 15          L-ak= 20       frequency:    4205.036      Note:  108
•    labium:  6.2832

Calculated by dr.Godfried-Willem Raes - 09.12.2005

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