Appendix 1: the stretch parameter in quantized mode
The following table shows the quantization values for the stretch parameter in ‘consonants’ mode. Steps marked with ‘h’ also appear in ‘harmonics’ mode.
| stretch | 2nd partial (ratio w.r.t. fund.) |
2nd partial (interval) |
| –2 | –1 | unisonh |
| –11/6 | –5/6 | – minor third |
| –9/5 | –4/5 | – major third |
| –7/4 | –3/4 | – perfect fourth |
| –5/3 | –2/3 | – perfect fifth |
| –3/2 | –1/2 | – perfect octave |
| –4/3 | –1/3 | – perfect fifth – octave |
| –5/4 | –1/4 | – 2 octaves |
| –9/8 | –1/8 | – 3 octaves |
| –1 | 0 | ×h |
| –7/8 | 1/8 | – 3 octaves |
| –3/4 | 1/4 | – 2 octaves |
| –2/3 | 1/3 | – perfect fifth – octave |
| –1/2 | 1/2 | – perfect octave |
| –1/3 | 2/3 | – perfect fifth |
| –1/4 | 3/4 | – perfect fourth |
| –1/5 | 4/5 | – major third |
| –1/6 | 5/6 | – minor third |
| 0 | 1 | unisonh |
| 1/5 | 6/5 | + minor third |
| 1/4 | 5/4 | + major third |
| 1/3 | 4/3 | + perfect fourth |
| 1/2 | 3/2 | + perfect fifth |
| 3/5 | 8/5 | + minor sixth |
| 2/3 | 5/3 | + major sixth |
| 1 | 2 | + octaveh |
| 7/5 | 12/5 | + minor third + octave |
| 3/2 | 5/2 | + major third + octave |
| 5/3 | 8/3 | + perfect fourth + octave |
| 2 | 3 | + perfect fifth + octaveh |
Appendix 2: stereo distribution of the partials
| mult. of: |
left/right / right/left |
| 127 | 127 |
| 113 | 113 |
| 109 | 109 |
| 107 | 107 |
| 103 | 103 |
| 101 | 101 |
| 97 | 97 |
| 89 | 89 |
| 83 | 83 |
| 79 | 79 |
| 73 | 73 |
| 71 | 71 |
| 67 | 67 |
| 61 | 61 122 |
| 59 | 59 118 |
| 53 | 53 106 |
| 47 | 47 94 |
| 43 | 43 86 |
| 41 | 41 82 123 |
| 37 | 37 74 111 |
| 31 | 31 62 93 124 |
| 29 | 29 58 87 116 |
| 23 | 23 46 69 92 115 |
| 19 | 19 38 57 76 95 114 |
| 17 | 17 34 51 68 85 102 119 |
| 13 | 13 26 39 52 65 78 91 104 117 |
| 11 | 11 22 33 44 55 66 77 88 99 110 121 |
| 7 | 7 14 21 28 35 42 49 56 63 70 84 98 105 112 126 |
| 5 | 5 10 15 20 25 30 40 45 50 60 75 80 90 100 120 125 |
| 3 | 3 6 9 12 18 24 27 36 48 54 72 81 96 108 |
| 2 | 2 4 8 16 32 64 128 |
