<Qt>

buislengtes in millimeter, gekorrigeerd met teoretische eindkorrekties

Lengths of the required closed tubes in mm:

Equal temperament quartertones

Physical and Acoustic lenghts and pitches:

model pipe:

TABLE FOR STANDARD BRASS TUBING

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

• Diam: 86 length: 1240       L-ak= 1293     frequency:    65.70369      Note:  36
• Diam: 86 length: 1203       L-ak= 1256     frequency:    67.62895      Note:  36.5
• Diam: 86 length: 1167       L-ak= 1221     frequency:    69.61063      Note:  37
• Diam: 86 length: 1132       L-ak= 1186     frequency:    71.65038      Note:  37.5
• Diam: 86 length: 1099       L-ak= 1152     frequency:    73.74989      Note:  38
• Diam: 86 length: 1066       L-ak= 1119     frequency:    75.91093      Note:  38.5
• Total length of tube for diameter  86  required =  6907  mm

• Diam: 80 length: 1038       L-ak= 1087     frequency:    78.13529      Note:  39
• Diam: 80 length: 1007       L-ak= 1056     frequency:    80.42484      Note:  39.5
• Diam: 80 length: 977        L-ak= 1026     frequency:    82.78146      Note:  40
• Diam: 80 length: 947        L-ak= 997      frequency:    85.20714      Note:  40.5
• Diam: 80 length: 919        L-ak= 969      frequency:    87.7039       Note:  41
• Diam: 80 length: 891        L-ak= 941      frequency:    90.27383      Note:  41.5
• Total length of tube for diameter  80  required =  5981  mm

• Diam: 67 length: 873        L-ak= 914      frequency:    92.91904      Note:  42
• Diam: 67 length: 847        L-ak= 888      frequency:    95.64178      Note:  42.5
• Diam: 67 length: 821        L-ak= 863      frequency:    98.4443       Note:  43
• Diam: 67 length: 797        L-ak= 838      frequency:    101.3289      Note:  43.5
• Diam: 67 length: 773        L-ak= 814      frequency:    104.2981      Note:  44
• Diam: 67 length: 750        L-ak= 791      frequency:    107.3543      Note:  44.5
• Total length of tube for diameter  67  required =  5228  mm

• Diam: 58 length: 733        L-ak= 769      frequency:    110.5         Note:  45
• Diam: 58 length: 711        L-ak= 747      frequency:    113.7379      Note:  45.5
• Diam: 58 length: 690        L-ak= 726      frequency:    117.0707      Note:  46
• Diam: 58 length: 669        L-ak= 705      frequency:    120.5011      Note:  46.5
• Diam: 58 length: 649        L-ak= 685      frequency:    124.032       Note:  47
• Diam: 58 length: 629        L-ak= 665      frequency:    127.6664      Note:  47.5
• Total length of tube for diameter  58  required =  4588  mm

• Diam: 48 length: 617        L-ak= 646      frequency:    131.4074      Note:  48
• Diam: 48 length: 598        L-ak= 628      frequency:    135.2579      Note:  48.5
• Diam: 48 length: 580        L-ak= 610      frequency:    139.2213      Note:  49
• Diam: 48 length: 563        L-ak= 593      frequency:    143.3008      Note:  49.5
• Diam: 48 length: 546        L-ak= 576      frequency:    147.4998      Note:  50
• Diam: 48 length: 530        L-ak= 559      frequency:    151.8219      Note:  50.5
• Total length of tube for diameter  48  required =  4057  mm

• Diam: 43 length: 517        L-ak= 543      frequency:    156.2706      Note:  51
• Diam: 43 length: 501        L-ak= 528      frequency:    160.8497      Note:  51.5
• Diam: 43 length: 486        L-ak= 513      frequency:    165.5629      Note:  52
• Diam: 43 length: 472        L-ak= 498      frequency:    170.4143      Note:  52.5
• Diam: 43 length: 457        L-ak= 484      frequency:    175.4078      Note:  53
• Diam: 43 length: 444        L-ak= 470      frequency:    180.5476      Note:  53.5
• Total length of tube for diameter  43  required =  3600  mm

• Diam: 40 length: 432        L-ak= 457      frequency:    185.8381      Note:  54
• Diam: 40 length: 419        L-ak= 444      frequency:    191.2836      Note:  54.5
• Diam: 40 length: 406        L-ak= 431      frequency:    196.8886      Note:  55
• Diam: 40 length: 394        L-ak= 419      frequency:    202.6579      Note:  55.5
• Diam: 40 length: 382        L-ak= 407      frequency:    208.5962      Note:  56
• Diam: 40 length: 371        L-ak= 395      frequency:    214.7085      Note:  56.5
• Total length of tube for diameter  40  required =  3212  mm

• Diam: 38 length: 361        L-ak= 384      frequency:    221           Note:  57
• Diam: 38 length: 350        L-ak= 373      frequency:    227.4758      Note:  57.5
• Diam: 38 length: 339        L-ak= 363      frequency:    234.1413      Note:  58
• Diam: 38 length: 329        L-ak= 352      frequency:    241.0022      Note:  58.5
• Diam: 38 length: 319        L-ak= 342      frequency:    248.0641      Note:  59
• Diam: 38 length: 309        L-ak= 332      frequency:    255.3329      Note:  59.5
• Total length of tube for diameter  38  required =  2886  mm

• Diam: 36 length: 301        L-ak= 323      frequency:    262.8148      Note:  60
• Diam: 36 length: 291        L-ak= 314      frequency:    270.5158      Note:  60.5
• Diam: 36 length: 282        L-ak= 305      frequency:    278.4425      Note:  61
• Diam: 36 length: 274        L-ak= 296      frequency:    286.6015      Note:  61.5
• Diam: 36 length: 265        L-ak= 288      frequency:    294.9996      Note:  62
• Diam: 36 length: 257        L-ak= 279      frequency:    303.6437      Note:  62.5
• Total length of tube for diameter  36  required =  2609  mm

• Diam: 33 length: 251        L-ak= 271      frequency:    312.5412      Note:  63
• Diam: 33 length: 243        L-ak= 264      frequency:    321.6993      Note:  63.5
• Diam: 33 length: 236        L-ak= 256      frequency:    331.1258      Note:  64
• Diam: 33 length: 228        L-ak= 249      frequency:    340.8286      Note:  64.5
• Diam: 33 length: 221        L-ak= 242      frequency:    350.8156      Note:  65
• Diam: 33 length: 214        L-ak= 235      frequency:    361.0953      Note:  65.5
• Total length of tube for diameter  33  required =  2382  mm

• Diam: 30 length: 210        L-ak= 228      frequency:    371.6762      Note:  66
• Diam: 30 length: 203        L-ak= 222      frequency:    382.5671      Note:  66.5
• Diam: 30 length: 197        L-ak= 215      frequency:    393.7772      Note:  67
• Diam: 30 length: 191        L-ak= 209      frequency:    405.3158      Note:  67.5
• Diam: 30 length: 185        L-ak= 203      frequency:    417.1924      Note:  68
• Diam: 30 length: 179        L-ak= 197      frequency:    429.4171      Note:  68.5
• Total length of tube for diameter  30  required =  2195  mm

• Diam: 28 length: 174        L-ak= 192      frequency:    442           Note:  69
• Diam: 28 length: 169        L-ak= 186      frequency:    454.9515      Note:  69.5
• Diam: 28 length: 164        L-ak= 181      frequency:    468.2826      Note:  70
• Diam: 28 length: 158        L-ak= 176      frequency:    482.0044      Note:  70.5
• Diam: 28 length: 153        L-ak= 171      frequency:    496.1282      Note:  71
• Diam: 28 length: 149        L-ak= 166      frequency:    510.6658      Note:  71.5
• Total length of tube for diameter  28  required =  2033  mm

• Diam: 26 length: 145        L-ak= 161      frequency:    525.6295      Note:  72
• Diam: 26 length: 140        L-ak= 157      frequency:    541.0316      Note:  72.5
• Diam: 26 length: 136        L-ak= 152      frequency:    556.8851      Note:  73
• Diam: 26 length: 132        L-ak= 148      frequency:    573.203       Note:  73.5
• Diam: 26 length: 127        L-ak= 144      frequency:    589.9991      Note:  74
• Diam: 26 length: 123        L-ak= 139      frequency:    607.2875      Note:  74.5
• Total length of tube for diameter  26  required =  1898  mm

• Diam: 24 length: 121        L-ak= 135      frequency:    625.0823      Note:  75
• Diam: 24 length: 117        L-ak= 132      frequency:    643.3987      Note:  75.5
• Diam: 24 length: 113        L-ak= 128      frequency:    662.2517      Note:  76
• Diam: 24 length: 109        L-ak= 124      frequency:    681.6571      Note:  76.5
• Diam: 24 length: 106        L-ak= 121      frequency:    701.6312      Note:  77
• Diam: 24 length: 102        L-ak= 117      frequency:    722.1906      Note:  77.5
• Total length of tube for diameter  24  required =  1787  mm

• Diam: 22 length: 100        L-ak= 114      frequency:    743.3524      Note:  78
• Diam: 22 length: 97         L-ak= 111      frequency:    765.1343      Note:  78.5
• Diam: 22 length: 94         L-ak= 107      frequency:    787.5544      Note:  79
• Diam: 22 length: 91         L-ak= 104      frequency:    810.6315      Note:  79.5
• Diam: 22 length: 88         L-ak= 101      frequency:    834.3848      Note:  80
• Diam: 22 length: 85         L-ak= 98       frequency:    858.8342      Note:  80.5
• Total length of tube for diameter  22  required =  1695  mm

• Diam: 20 length: 83         L-ak= 96       frequency:    883.9999      Note:  81
• Diam: 20 length: 81         L-ak= 93       frequency:    909.9031      Note:  81.5
• Diam: 20 length: 78         L-ak= 90       frequency:    936.5653      Note:  82
• Diam: 20 length: 75         L-ak= 88       frequency:    964.0088      Note:  82.5
• Diam: 20 length: 73         L-ak= 85       frequency:    992.2564      Note:  83
• Diam: 20 length: 70         L-ak= 83       frequency:    1021.332      Note:  83.5
• Total length of tube for diameter  20  required =  1617  mm

• Diam: 18 length: 69         L-ak= 80       frequency:    1051.259      Note:  84
• Diam: 18 length: 67         L-ak= 78       frequency:    1082.063      Note:  84.5
• Diam: 18 length: 65         L-ak= 76       frequency:    1113.77       Note:  85
• Diam: 18 length: 62         L-ak= 74       frequency:    1146.406      Note:  85.5
• Diam: 18 length: 60         L-ak= 72       frequency:    1179.998      Note:  86
• Diam: 18 length: 58         L-ak= 69       frequency:    1214.575      Note:  86.5
• Total length of tube for diameter  18  required =  1552  mm

• Diam: 16 length: 58         L-ak= 67       frequency:    1250.165      Note:  87
• Diam: 16 length: 56         L-ak= 66       frequency:    1286.797      Note:  87.5
• Diam: 16 length: 54         L-ak= 64       frequency:    1324.503      Note:  88
• Diam: 16 length: 52         L-ak= 62       frequency:    1363.314      Note:  88.5
• Diam: 16 length: 50         L-ak= 60       frequency:    1403.262      Note:  89
• Diam: 16 length: 48         L-ak= 58       frequency:    1444.381      Note:  89.5
• Total length of tube for diameter  16  required =  1500  mm

• Diam: 14 length: 48         L-ak= 57       frequency:    1486.705      Note:  90
• Diam: 14 length: 46         L-ak= 55       frequency:    1530.268      Note:  90.5
• Diam: 14 length: 45         L-ak= 53       frequency:    1575.109      Note:  91
• Diam: 14 length: 43         L-ak= 52       frequency:    1621.263      Note:  91.5
• Diam: 14 length: 42         L-ak= 50       frequency:    1668.77       Note:  92
• Diam: 14 length: 40         L-ak= 49       frequency:    1717.668      Note:  92.5
• Total length of tube for diameter  14  required =  1456  mm

• Diam: 12 length: 40         L-ak= 48       frequency:    1768          Note:  93
• Diam: 12 length: 39         L-ak= 46       frequency:    1819.806      Note:  93.5
• Diam: 12 length: 37         L-ak= 45       frequency:    1873.131      Note:  94
• Diam: 12 length: 36         L-ak= 44       frequency:    1928.018      Note:  94.5
• Diam: 12 length: 35         L-ak= 42       frequency:    1984.513      Note:  95
• Diam: 12 length: 34         L-ak= 41       frequency:    2042.663      Note:  95.5
• Total length of tube for diameter  12  required =  1421  mm

• Diam: 10 length: 34         L-ak= 40       frequency:    2102.518      Note:  96
• Diam: 10 length: 33         L-ak= 39       frequency:    2164.126      Note:  96.5
• Diam: 10 length: 31         L-ak= 38       frequency:    2227.54       Note:  97
• Diam: 10 length: 30         L-ak= 37       frequency:    2292.812      Note:  97.5
• Diam: 10 length: 29         L-ak= 36       frequency:    2359.996      Note:  98
• Diam: 10 length: 28         L-ak= 34       frequency:    2429.15       Note:  98.5
• Total length of tube for diameter  10  required =  1391  mm

• Diam: 8 length: 29          L-ak= 33       frequency:    2500.329      Note:  99
• Diam: 8 length: 28          L-ak= 33       frequency:    2573.595      Note:  99.5
• Diam: 8 length: 27          L-ak= 32       frequency:    2649.007      Note:  100
• Diam: 8 length: 26          L-ak= 31       frequency:    2726.628      Note:  100.5
• Diam: 8 length: 25          L-ak= 30       frequency:    2806.525      Note:  101
• Diam: 8 length: 24          L-ak= 29       frequency:    2888.762      Note:  101.5
• Total length of tube for diameter  8  required =  1370  mm

• Diam: 6 length: 24          L-ak= 28       frequency:    2973.409      Note:  102
• Diam: 6 length: 24          L-ak= 27       frequency:    3060.537      Note:  102.5
• Diam: 6 length: 23          L-ak= 26       frequency:    3150.218      Note:  103
• Diam: 6 length: 22          L-ak= 26       frequency:    3242.526      Note:  103.5
• Diam: 6 length: 21          L-ak= 25       frequency:    3337.539      Note:  104
• Diam: 6 length: 21          L-ak= 24       frequency:    3435.337      Note:  104.5
• Total length of tube for diameter  6  required =  1351  mm

• Diam: 5 length: 20          L-ak= 24       frequency:    3536          Note:  105
• Diam: 5 length: 20          L-ak= 23       frequency:    3639.612      Note:  105.5
• Diam: 5 length: 19          L-ak= 22       frequency:    3746.261      Note:  106
• Diam: 5 length: 18          L-ak= 22       frequency:    3856.035      Note:  106.5
• Diam: 5 length: 18          L-ak= 21       frequency:    3969.026      Note:  107
• Diam: 5 length: 17          L-ak= 20       frequency:    4085.327      Note:  107.5
• Total length of tube for diameter  5  required =  1332  mm

• Diam: 4 length: 17          L-ak= 20       frequency:    4205.036      Note:  108
• (this is the last and highest note)

Calculated by dr.Godfried-Willem Raes, 10.2005

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