98 Harmonics Skip 5 Piano Solo w/ Video

Hi Bill, any sound, besides a sine wave, is made up of additional, quieter notes, called harmonics. Those harmonics are one of the ways the sound of an instrument is defined.

http://en.wikipedia.org/wiki/Harmonic_series_%28music%29
http://en.wikipedia.org/wiki/Harmonic

When you do a filter sweep with a high Q (filter resonance) on your synthesizer what you hear are the notes of the harmonic series that is in your starting waveform. Adjusting the Q changes how loud those are.

What I did here was copy the natural pattern of harmonics for one note and assigned each to a note on the keyboard. Since I have programs that do all of the grunt work for me it was easy to do. Maybe it will be clearer with this list of notes and frequencies:

98 harm 5 ski 1
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Scala version 2.30t Copyright E.F. Op de Coul, the Netherlands, 1992-2011
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0: 1/1 0.000 unison, perfect prime
1: 7/5 582.512 septimal or Huygens’ tritone, BP fourth
2: 9/5 1017.596 just minor seventh, BP seventh
3: 11/5 1365.004 neutral ninth
4: 13/5 1654.214 tridecimal semi-diminished fourth +1 octave
5: 3/1 1901.955 perfect 12th
6: 17/5 2118.642 septendecimal diminished seventh +1 octave
7: 19/5 2311.199 undevicesimal major seventh +1 octave
8: 21/5 2484.467 minor semitone +2 octaves
9: 23/5 2641.961
10: 5/1 2786.314 major 17th
11: 27/5 2919.551 acute fourth +2 octaves
12: 29/5 3043.263
13: 31/5 3158.722
14: 33/5 3266.959
15: 7/1 3368.826 harmonic 21st
16: 37/5 3465.030
17: 39/5 3556.169
18: 41/5 3642.749
19: 43/5 3725.204
20: 9/1 3803.910 perfect 23rd
21: 47/5 3879.193
22: 49/5 3951.338 larger approximation to neutral third +3 octaves
23: 51/5 4020.597
24: 53/5 4087.191
25: 11/1 4151.318 undecimal semi-augmented fourth +3 octaves
26: 57/5 4213.154
27: 59/5 4272.858
28: 61/5 4330.571
29: 63/5 4386.422 narrow minor sixth +3 octaves
30: 13/1 4440.528 tridecimal neutral sixth +3 octaves
31: 67/5 4492.993
32: 69/5 4543.916
33: 71/5 4593.383
34: 73/5 4641.476
35: 15/1 4688.269 classic major 28th
36: 77/5 4733.830
37: 79/5 4778.223
38: 81/5 4821.506 syntonic comma, Didymus comma +4 octaves
39: 83/5 4863.734
40: 17/1 4904.955 17th harmonic +4 octaves
41: 87/5 4945.218
42: 89/5 4984.566
43: 91/5 5023.040
44: 93/5 5060.677
45: 19/1 5097.513 19th harmonic +4 octaves
46: 97/5 5133.582
47: 99/5 5168.914
48: 101/5 5203.540
49: 103/5 5237.487
50: 21/1 5270.781 narrow fourth +4 octaves
51: 107/5 5303.447
52: 109/5 5335.507
53: 111/5 5366.985
54: 113/5 5397.901
55: 23/1 5428.274 23rd harmonic +4 octaves
56: 117/5 5458.124
57: 119/5 5487.468
58: 121/5 5516.322
59: 123/5 5544.704
60: 25/1 5572.627 classic augmented 33rd
61: 127/5 5600.108
62: 129/5 5627.159
63: 131/5 5653.794
64: 133/5 5680.025
65: 27/1 5705.865 Pythagorean major sixth +4 octaves
66: 137/5 5731.325
67: 139/5 5756.416
68: 141/5 5781.148
69: 143/5 5805.532
70: 29/1 5829.577 29th harmonic +4 octaves
71: 147/5 5853.293
72: 149/5 5876.689
73: 151/5 5899.772
74: 153/5 5922.552
75: 31/1 5945.036 31st harmonic +4 octaves
76: 157/5 5967.231
77: 159/5 5989.146
78: 161/5 6010.787
79: 163/5 6032.160
80: 33/1 6053.273 undecimal comma, al-Farabi’s 1/4-tone +5 octaves
81: 167/5 6074.131
82: 169/5 6094.742
83: 171/5 6115.109
84: 173/5 6135.240
85: 35/1 6155.140 septimal neutral second +5 octaves
86: 177/5 6174.813
87: 179/5 6194.265
88: 181/5 6213.501
89: 183/5 6232.526
90: 37/1 6251.344 37th harmonic +5 octaves
91: 187/5 6269.960
92: 189/5 6288.377
93: 191/5 6306.601
94: 193/5 6324.635
95: 39/1 6342.483 39th harmonic, Zalzal wosta of Ibn Sina +5 octaves
96: 197/5 6360.148
97: 199/5 6377.636
98: 201/5 6394.948