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 82.36 952 20 160 20.9 1831 =1.92 note=93.68 2323 =2.44 note=97.8 3583 =3.76 note=105.3 3763 =3.95 note=106.2 4603 =4.84 note=109.6 5553 =5.83 note=112.9 6343 =6.66 note=115.2 7133 =7.49 note=117.2 8143 =8.55 note=119.5 83.81 1035 18.5 148 18.4 2064 =1.99 note=95.76 83.94 1043 17.35 138.8 26.4 2220 =2.13 note=97.02 86.14 1184 16.25 130 15.5 2255 =1.9 note=97.29 87.08 1250 15.12 121 16.8 2495 =2 note=99.04 88.4 1349 14.25 114 13.7 2699 =2 note=100.4 89.15 1409 13.38 107 15.2 2940 =2.09 note=101.9 89.72 1456 12.5 100 18.3 2966 =2.04 note=102 91.27 1593 11.68 93.4 14.7 3083 =1.94 note=102.7 98.3 2391 7.5 60 12 4600 =1.92 note=109.6 98.03 2354 6.5 52 21.2 4664 =1.98 note=109.9 Averaged endcorrection= 17.5697409889915 Averaged fo/f1 ratio = 1.9919548034668 Extrapolation for a chromatic series of pipes: 84 147.04 1046Hz 85 137.8 1109Hz 86 129.08 1175Hz 87 120.85 1244Hz 88 113.08 1318Hz 89 105.75 1397Hz 90 98.825 1480Hz 91 92.292 1568Hz 92 86.126 1661Hz 93 80.306 1760Hz 94 74.813 1865Hz 95 69.628 1976Hz 96 64.734 2093Hz 97 60.114 2217Hz 98 55.754 2349Hz 99 51.639 2489Hz 100 47.754 2637Hz 101 44.088 2794Hz 102 40.628 2960Hz 103 37.361 3136Hz 104 34.278 3322Hz 105 31.368 3520Hz 106 28.622 3729Hz 107 26.029 3951Hz 108 23.582 4186Hz 109 21.272 4435Hz 110 19.092 4699Hz 111 17.035 4978Hz 112 15.092 5274Hz 113 13.259 5588Hz 114 11.529 5920Hz 115 9.8957 6272Hz 116 8.3542 6645Hz 117 6.8992 7040Hz 118 5.5259 7459Hz 119 4.2296 7902Hz 120 3.0061 8372Hz 121 1.8513 8870Hz 122 .7613 9397Hz 123 -.2676 9956Hz 124 -1.2387 1.055E+4Hz 125 -2.1553 1.118E+4Hz 126 -3.0204 1.184E+4Hz 127 -3.837 1.254E+4Hz