Scaling calculations for by Godfried-Willem Raes tube lengths in millimeter: Using PVC pipe DATA-SETS FOR 10 mm Pipes, 1 mm wall thickness Measured and calculated for resonance with the pipes opened at the driver end Note Freq l/d length endcor 84 1046 18.75 150 14.6 85 1109 17.5 140 15.4 86 1175 17 136 10.6 87 1244 16.25 130 8.42 88 1318 15.25 122 8.65 89 1397 14.12 113 10.3 90 1480 13.62 109 7.39 91 1568 13 104 5.86 92 1661 11.88 95 8.7 93 1760 10.88 87 10.9 94 1865 10.38 83 9.38 95 1976 9.875 79 8.2 Averaged endcorrection= 9.86764717102051 Averaged fo/f1 ratio = 0 Theoretical endcorrection= 4.96 Extrapolation for a chromatic series of pipes: 84 159.65 1046Hz 85 150.41 1109Hz 86 141.69 1175Hz 87 133.46 1244Hz 88 125.69 1318Hz 89 118.36 1397Hz 90 111.43 1480Hz 91 104.9 1568Hz 92 98.736 1661Hz 93 92.916 1760Hz 94 87.422 1865Hz 95 82.237 1976Hz 96 77.343 2093Hz 97 72.724 2217Hz 98 68.364 2349Hz 99 64.249 2489Hz 100 60.364 2637Hz 101 56.698 2794Hz 102 53.237 2960Hz 103 49.971 3136Hz 104 46.888 3322Hz 105 43.978 3520Hz 106 41.231 3729Hz 107 38.639 3951Hz 108 36.192 4186Hz 109 33.882 4435Hz 110 31.702 4699Hz 111 29.644 4978Hz 112 27.702 5274Hz 113 25.869 5588Hz 114 24.139 5920Hz 115 22.505 6272Hz 116 20.964 6645Hz 117 19.509 7040Hz 118 18.136 7459Hz 119 16.839 7902Hz 120 15.616 8372Hz 121 14.461 8870Hz 122 13.371 9397Hz 123 12.342 9956Hz 124 11.371 1.055E+4Hz 125 10.454 1.118E+4Hz 126 9.5893 1.184E+4Hz 127 8.7727 1.254E+4Hz Note 84 L= 150 Note 85 L = 141.581146902254 Note 86 L = 133.634807721051 Note 87 L = 126.134462288057 Note 88 L = 119.055078897615 Note 89 L = 112.373030765751 Note 90 L = 106.066017177982 Note 91 L = 100.112989062752 Note 92 L = 94.4940787421155 Note 93 L = 89.1905336252041 Note 94 L = 84.184653623203 Note 95 L = 79.4597320769471 Note 96 L = 75 Note 97 L = 70.790573451127 Note 98 L = 66.8174038605254 Note 99 L = 63.0672311440286 Note 100 L = 59.5275394488075 Note 101 L = 56.1865153828756 Note 102 L = 53.0330085889911 Note 103 L = 50.0564945313763 Note 104 L = 47.2470393710577 Note 105 L = 44.595266812602 Note 106 L = 42.0923268116015 Note 107 L = 39.7298660384736 Note 108 L = 37.5 Note 109 L = 35.3952867255635 Note 110 L = 33.4087019302627 Note 111 L = 31.5336155720143 Note 112 L = 29.7637697244037 Note 113 L = 28.0932576914378 Note 114 L = 26.5165042944955 Note 115 L = 25.0282472656881 Note 116 L = 23.6235196855289 Note 117 L = 22.297633406301 Note 118 L = 21.0461634058007 Note 119 L = 19.8649330192368 Note 120 L = 18.75 Note 121 L = 17.6976433627818 Note 122 L = 16.7043509651314 Note 123 L = 15.7668077860071 Note 124 L = 14.8818848622019 Note 125 L = 14.0466288457189 Note 126 L = 13.2582521472478 Note 127 L = 12.5141236328441