Prime Dimensioned is an experiment in “harmonic filtering” as implemented in Paul’s Extreme Stretch. The basic idea was to take a starting file of an 11 edo synthesizer improvisation of high harmonic content and filter it several times starting from a different low number prime as the lowest frequency in a harmonic series with a bandwidth of 1 hz. The resulting audio files where then sequenced to create a chord progression. The score for the progression is above, click on it to make it bigger. The frequency content of each sample for the first few harmonics in Hz can be found in the table below :
2 | 3 | 5 | 7 | 9 | 11 | 13 | 17 |
4 | 6 | 10 | 14 | 18 | 22 | 26 | 34 |
6 | 9 | 15 | 21 | 27 | 33 | 39 | 51 |
8 | 12 | 20 | 28 | 36 | 44 | 52 | 68 |
10 | 15 | 25 | 35 | 45 | 55 | 65 | 85 |
12 | 18 | 30 | 42 | 54 | 66 | 78 | 102 |
14 | 21 | 35 | 49 | 63 | 77 | 91 | 119 |
16 | 24 | 40 | 56 | 72 | 88 | 104 | 136 |
18 | 27 | 45 | 63 | 81 | 99 | 117 | 153 |
20 | 30 | 50 | 70 | 90 | 110 | 130 | 170 |
22 | 33 | 55 | 77 | 99 | 121 | 143 | 187 |
24 | 36 | 60 | 84 | 108 | 132 | 156 | 204 |
26 | 39 | 65 | 91 | 117 | 143 | 169 | 221 |
28 | 42 | 70 | 98 | 126 | 154 | 182 | 238 |
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