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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