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Fractional Octave Band Filter

The subsequent tables provide the exact frequency data of Octave, Third-Octave, Sixth-Octave and Twelfth-Octave filters. All data refer to base 10 according to IEC 61260-1:2014.

Octave-band filter

Mid-frequency (rounded) Mid Frequency (precise) Start frequency f1 Stop frequency f2 Bandwidth B
1 1.0 0.7 1.4 0.7
2 2.0 1.4 2.8 1.4
4 4.0 2.8 5.7 2.8
8 7.9 5.7 11.3 5.7
16 15.8 11.3 22.6 11.3
31.5 31.6 22.3 44.5 22.3
63 63.1 44.5 89.1 44.5
125 125.9 88.4 176.8 88.4
250 251.2 176.8 353.6 176.8
500 501.2 353.6 707.1 353.6
1000 1000.0 707.1 1414.2 707.1
2000 1995.3 1414.2 2828.4 1414.2
4000 3981.1 2828.4 5656.9 2828.4
8000 7943.3 5656.9 11313.7 5656.9
16000 15848.9 11313.7 22627.4 11313.7
 

 

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1/3-Octave-band filter

Mid-frequency (rounded) Mid Frequency (precise) Start frequency f1 Stop frequency f2 Bandwidth B
0.8 0.8 0.7 0.9 0.2
1 1.0 0.9 1.1 0.2
1.25 1.3 1.1 1.4 0.3
1.6 1.6 1.4 1.8 0.4
2 2.0 1.8 2.2 0.5
2.5 2.5 2.2 2.8 0.6
3.15 3.2 2.8 3.5 0.7
4 4.0 3.6 4.5 0.9
5 5.0 4.5 5.6 1.2
6.3 6.3 5.6 7.1 1.5
8 7.9 7.1 9.0 1.9
10 10.0 8.9 11.2 2.3
12.5 12.6 11.1 14.0 2.9
16 15.8 14.3 18.0 3.7
20 20.0 17.8 22.4 4.6
25 25.1 22.3 28.1 5.8
31.5 31.6 28.1 35.4 7.3
40 39.8 35.6 44.9 9.3
50 50.1 44.5 56.1 11.6
63 63.1 56.1 70.7 14.6
80 79.4 71.3 89.8 18.5
100 100.0 89.1 112.2 23.2

125

 125.9 111.4 140.3 28.9
160 158.5 142.5 179.6 37.1
200 199.5 178.2 224.5 46.3
250 251.2 222.7 280.6 57.9
315 316.2 280.6 353.6 72.9
400 398.1 356.4 449.0 92.6
500 501.2 445.4 561.2 115.8
630 631.0 561.3 707.2 145.9
800 794.3 712.7 898.0 185.3
1000 1000.0 890.9 1122.5 231.6
1250 1258.9 1113.6 1403.1 289.5
1600 1584.9 1425.4 1795.9 370.5
2000 1995.3 1781.8 2244.9 463.1
2500 2511.9 2227.2 2806.2 578.9
3150 3162.3 2806.3 3535.8 729.4
4000 3981.1 3563.6 4489.8 926.3
5000 5011.9 4454.5 5612.3 1157.8
6300 6309.6 5612.7 7071.5 1458.8
8000 7943.3 7127.2 8979.7 1852.5
10000 10000.0 8909.0 11224.6 2315.6
12500 12589.3 11136.2 14030.8 2894.5
16000 15848.9 14254.4 17959.4 3705.0
20000 19952.6 17818.0 22449.2 4631.3
 

 

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1/6-Octave-band filter

Mid-frequency (rounded) Mid Frequency (precise) Start frequency f1 Stop frequency f2 Bandwith B
0.75 0.7 0.7 0.8 0.1
0.84 0.8 0.8 0.9 0.1
0.94 0.9 0.9 1.0 0.1
1.06 1.1 1.0 1.1 0.1
1.19 1.2 1.1 1.3 0.1
1.33 1.3 1.3 1.4 0.2
1.50 1.5 1.4 1.6 0.2
1.68 1.7 1.6 1.8 0.2
1.88 1.9 1.8 2.0 0.2
2.11 2.1 2.0 2.2 0.2
2.37 2.4 2.2 2.5 0.3
2.66 2.7 2.5 2.8 0.0
2.99 3.0 2.8 3.2 0.3
3.35 3.3 3.2 3.5 0.4
3.76 3.8 3.5 4.0 0.4
4.22 4.2 4.0 4.5 0.5
4.73 4.7 4.5 5.0 0.5
5.3 5.3 5.0 5.6 0.6
6 6.0 5.7 6.4 0.7
6.7 6.7 6.3 7.1 0.8
7.5 7.5 7.1 7.9 0.9
8.4 8.4 7.9 8.9 1.0
9.4 9.4 8.9 10.0 1.1
10.6 10.6 10.0 11.2 1.2
11.9 11.9 11.2 12.6 1.4
13.3 13.3 12.6 14.1 1.5
15 15.0 14.2 15.9 1.7
16.8 16.8 15.9 17.8 1.9
18.8 18.8 17.7 19.9 2.2
21.1 21.1 19.9 22.4 2.4
23.7 23.7 22.4 25.1 2.7
26.6 26.6 25.1 28.2 3.1
29.9 29.9 28.2 31.7 3.5
33.5 33.5 31.6 35.5 3.9
37.6 37.6 35.5 39.8 4.3
42.2 42.2 39.8 44.7 4.9
47.3 47.3 44.6 50.1 5.5
53 53.1 50.0 56.2 6.1
60 59.6 56.6 63.6 6.9
67 66.8 63.2 71.0 7.7
75 75.0 70.8 79.5 8.7
84 84.1 79.3 89.0 9.7
94 94.4 88.7 99.6 10.9
106 105.9 100.1 112.3 12.3
119 118.9 112.3 126.1 13.8
133 133.4 125.5 140.9 15.4
150 149.6 141.6 158.9 17.3
168 167.9 158.6 178.0 19.4
188 188.4 177.4 199.2 21.7
211 211.3 199.2 223.5 24.4
237 237.1 223.7 251.1 27.4
266 266.1 251.1 281.8 30.7
299 298.5 282.2 316.8 34.6
335 335.0 316.2 354.9 38.7
376 375.8 354.9 398.4 43.5
422 421.7 398.3 447.1 48.8
473 473.2 446.5 501.1 54.7
530 530.9 500.3 561.5 61.3
600 595.7 566.3 635.7 69.4
670 668.3 632.4 709.8 77.4
750 749.9 707.9 794.6 86.7
840 841.4 792.9 889.9 97.1
940 944.1 887.2 995.9 108.7
1060 1059.3 1000.5 1123.0 122.5
1190 1188.5 1123.2 1260.8 137.6
1330 1333.5 1255.4 1409.1 153.7
1500 1496.2 1415.8 1589.2 173.4
1680 1678.8 1585.7 1779.9 194.2
1880 1883.6 1774.5 1991.8 217.3
2110 2113.5 1991.6 2235.5 243.9
2370 2371.4 2237.0 2510.9 273.9
3760 3758.4 3549.0 3986.6 434.6
4220 4217.0 3983.1 4470.9 487.8
3350 3349.7 3162.0 3549.2 387.2
2660 2660.7 2510.7 2818.2 307.5
2990 2985.4 2822.2 3167.8 345.6
4730 4731.5 4464.5 5011.3 546.7
5300 5308.8 5002.5 5615.2 612.6
6000 5956.6 5663.2 6356.8 693.5
6700 6683.4 6324.0 7098.4 774.4
7500 7498.9 7079.1 7946.0 866.9
8400 8414.0 7928.5 8899.5 970.9
9400 9440.6 8872.4 9959.0 1086.5
10600 10592.5 10005.1 11230.3 1225.2
11900 11885.0 11232.1 12607.6 1375.5
13300 13335.2 12553.5 14090.9 1537.3
15000 14962.4 14158.1 15891.9 1733.8
16800 16788.0 15857.1 17799.0 1941.9
18800 18836.5 17744.8 19917.9 2173.1
21100 21134.9 19915.7 22354.7 2438.9
23700 23713.7 22369.8 25109.3 2739.5
 

 

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1/12-Octave-band filter

Mid-frequency (rounded) Mid Frequency (precise) Start frequency f1 Stop frequency f2 Bandwidth B
0.73 0.7 0.7 0.7 0.0
0.77 0.8 0.7 0.8 0.0
0.82 0.8 0.8 0.8 0.0
0.87 0.9 0.8 0.9 0.1
0.92 0.9 0.9 0.9 0.1
0.97 1.0 0.9 1.0 0.1
1.03 1.0 1.0 1.1 0.1
1.09 1.1 1.1 1.1 0.1
1.15 1.2 1.1 1.2 0.1
1.22 1.2 1.2 1.3 0.1
1.3 1.3 1.3 1.3 0.1
1.37 1.4 1.3 1.4 0.1
1.45 1.5 1.4 1.5 0.1
1.54 1.5 1.5 1.6 0.1
1.63 1.6 1.6 1.7 0.1
1.73 1.7 1.7 1.8 0.1
1.83 1.8 1.8 1.9 0.1
1.94 1.9 1.9 2.0 0.1
2.05 2.1 2.0 2.1 0.1
2.18 2.2 2.1 2.2 0.1
2.3 2.3 2.2 2.4 0.1
2.44 2.4 2.4 2.5 0.1
2.59 2.6 2.5 2.7 0.1
2.74 2.7 2.7 2.8 0.2
2.9 29 2.8 3.0 0.2
3.07 3.1 3.0 3.2 0.2
3.25 3.3 3.2 3.3 0.2
3.45 3.4 3.3 3.5 0.2
3.65 3.7 3.5 3.8 0.2
3.87 3.9 3.8 4.0 0.2
4.1 4.1 4.0 4.2 0.2
4.34 4.3 4.2 4.5 0.3
4.6 4.6 4.5 4.7 0.3
4.87 4.9 4.7 5.0 0.3
5.2 5.2 5.0 5.3 0.3
5.5 5.5 5.3 5.6 0.3
5.8 5.8 5.6 6.0 0.3
6.1 6.1 6.0 6.3 0.4
6.5 6.5 6.3 6.7 0.4
6.9 6.9 6.7 7.1 0.4
7.3 7.3 7.1 7.5 0.4
7.7 7.7 7.5 7.9 0.4
8.2 8.2 7.9 8.4 0.5
8.7 8.7 8.4 8.9 0.5
9.2 9.2 8.9 9.4 0.5
9.7 9.7 9.4 10.0 0.6
10.3 10.3 10.0 10.6 0.6
10.9 10.9

10.6

 11.2 0.6
11.5 11.5 11.2 11.9 0.7
12.2 12.2 11.9 12.6 0.7
13 13.0 12.6 13.3 0.7
13.7 13.7 13.3 14.1 0.8
14.5 14.5 14.1 15.0 0.8
15.4 15.4 15.0 15.9 0.9
16.3 16.3 15.8 16.8 0.9
17.3 17.3 16.8 17.8 1.0
18.3 18.3 17.8 18.8 1.1
19.4 19.4 18.8 20.0 1.1
20.5 20.5 20.0 21.1 1.2
21.8 21.8 21.1 22.4 1.3
23 23.0 22.4 23.7 1.3
24.4 24.4 23.7 25.1 1.4
25.9 25.9 25.1 26.6 1.5
27.4 27.4 26.6 28.2 1.6
29 29.0 28.2 29.9 1.7
30.7 30.7 29.9 31.6 1.8
32.5 32.5 31.6 33.5 1.9
34.5 34.5 33.5 35.5 2.0
36.5 36.5 35.5 37.6 2.1
38.7 38.7 37.6 39.8 2.2
41 41.0 39.8 42.2 2.4
43.4 43.4 42.2 44.7 2.5
46 46.0 44.7 47.3 2.7
48.7 48.7 47.3 50.1 2.8
52 51.6 50.1 53.1 3.0
55 54.6 53.1 56.2 3.2
58 57.9 56.2 59.6 3.3
61 61.3 59.6 63.1 3.5
65 64.9 63.1 66.8 3.8
69 68.8 66.8 70.8 4.0
73 72.9 70.8 75.0 4.2
77 77.2 75.0 79.4 4.5
82 81.8 79.4 84.1 4.7
87 86.6 84.1 89.1 5.0
92 91.7 89.1 94.4 5.3
97 97.2 94.4 100.0 5.6
103 102.9 100.0 105.9 5.9
109 109.0 105.9 112.2 6.3
115 115.5 112.2 118.9 6.7
122 122.3 118.8 125.9 7.1
130 129.6 125.9 133.4 7.5
137 137.2 133.3 141.3 7.9
145 145.4 141.2 149.6 8.4
154 154.0 149.6 158.5 8.9
163 163.1 158.5 167.9 9.4
173 172.8 167.9 177.8 10.0
183 183.0 177.8 188.4 10.6
194 193.9 188.3 199.5 11.2
205 205.4 199.5 211.4 11.9
218 217.5 211.3 223.9 12.6
230 230.4 223.8 237.2 13.3
244 244.1 237.1 251.2 14.1
259 258.5 251.2 266.1 14.9
274 273.8 266.0 281.9 15.8
290 290.1 281.8 298.6 16.8
307 307.3 298.5 316.3 17.8
325 325.5 316.2 335.0 18.8
345 344.7 334.9 354.8 19.9
365 365.2 354.8 375.9 21.1
387 386.8 375.8 398.1 22.3
410 409.7 398.1 421.7 23.7
434 434.0 421.7 446.7 25.1
460 459.7 446.6 473.2 26.6
487 487.0 473.1 501.2 28.1
520 515.8 501.1 530.9 29.8
550 546.4 530.8 562.4 31.6
580 578.8 562.3 595.7 33.4
610 613.1 595.6 631.0 35.4
650 649.4 630.9 668.4 37.5
690 687.9 668.3 708.0 39.7
730 728.6 707.9 750.0 42.1
770 771.8 749.8 794.4 44.6
820 817.5 794.2 841.5 47.2
870 866.0 841.3 891.3 50.0
920 917.3 891.2 944.2 53.0
970 971.6 944.0 1000.1 56.1
1030 1029.2 999.9 1059.4 59.5
1090 1090.2 1059.1 1122.1 63.0
1150 1154.8 1121.9 1188.6 66.7
1220 1223.2 1188.4 1259.0 70.7
1300 1295.7 1258.8 1333.7 74.9
1370 1372.5 1333.4 1412.7 79.3
1450 1453.8 1412.4 1496.4 84.0
1540 1539.9 1496.1 1585.0 89.0
1630 1631.2 1584.7 1679.0 94.2
1730 1727.8 1678.6 1778.5 99.8
1830 1830.2 1778.1 1883.8 105.7
1940 1938.7 1883.5 1995.5 112.0
2050 2053.5 1995.1 2113.7 118.6
2180 2175.2 2113.3 2238.9 125.7
2300 2304.1 2238.5 2371.6 133.1
2440 2440.6 2371.1 2512.1 141.0
2590 2585.2 2511.6 2661.0 149.3
2740 2738.4 2660.5 2818.7 158.2
2900 2900.7 2818.1 2985.7 167.6
3070 3072.6 2985.1 3162.6 177.5
3250 3254.6 3162.0 3350.0 188.0
3450 3447.5 3349.3 3548.5 199.2
3650 3651.7 3547.8 3758.7 211.0
3870 3868.1 3758.0 3981.5 223.5
4100 4097.3 3980.7 4217.4 236.7
4340 4340.1 4216.5 4467.3 250.7
4600 4597.3 4466.4 4732.0 265.6
4870 4869.7 4731.0 5012.4 281.3
5200 5158.2 5011.4 5309.4 298.0
5500 5463.9 5308.3 5624.0 315.6
5800 5787.6 5622.9 5957.2 334.4
6100 6130.6 5956.0 6310.2 354.2
6500 6493.8 6308.9 6684.1 375.1
6900 6878.6 6682.8 7080.2 397.4
7300 7286.2 7078.8 7499.7 420.9
7700 7717.9 7498.2 7944.1 445.9
8200 8175.2 7942.5 8414.8 472.3
8700 8659.6 8413.1 8913.4 500.3
9200 9172.8 8911.6 9441.5 529.9
9700 9716.3 9439.7 10001.0 561.3
10300 10292.0 9999.0 10593.6 594.6
10900 10901.8 10591.5 11221.3 629.8
11500 11547.8 11219.1 11886.2 667.1
12200 12232.1 11883.8 12590.5 706.7
13000 12956.9 12588.0 13336.5 748.5
13700 13724.6 13333.9 14126.8 792.9
14500 14537.8 14124.0 14963.8 839.9
15400 15399.3 14960.9 15850.5 889.6
16300 16311.7 15847.4 16789.7 942.3
17300 17278.3 16786.4 17784.6 998.2
18300 18302.1 17781.0 18838.4 1057.3
19400 19386.5 18834.6 19954.6 1120.0
20500

20535.3

 19950.7 21137.0 1186.3
21800 21752.0 21132.85 22389.4 1256.6
23000 23040.9 22385.0 23716.1 1331.1
 

 

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