The Eat at Joe's Kawai K5000 Message Board Digest Frequency Values of the Harmonics ------------------------------------------------------------------------------------------ ------------------------------------------------------------------------------------------ Date: Sun, 21 Dec 1997 13:33:26 -0600 From: Leiter Add to Address Book Reply-To: leiter@skypoint.com To: kenjib@rocketmail.com Subject: harmonic list Here's something I calculated that's been pretty useful. I didn't want to post it because it's long and might gum up the message board, but put it somewhere on the website if it's useful. The "Cents" column is where the overtone falls within its octave in the equal tuning scale (the one we use, which breaks the octave into 12 equal half tones with 100 cents in each half tone, or 1200 cents). There's an entry under "Note" if the overtone falls on a note in the just tuning scale, which was based on perfect ratios (3/2=V, 5/4=III, 9/8=II, 15/8=VII). OT# Note Cents 1 I 0 0 2 I 1 0 3 V 1 702 4 I 2 0 5 III 2 386 6 V 2 702 7 969 8 I 3 0 9 II 3 204 10 III 3 386 11 551 12 V 3 702 13 841 14 969 15 VII 3 1088 16 I 4 0 17 105 18 II 4 204 19 298 20 III 4 386 21 471 22 551 23 628 24 V 4 702 25 773 26 841 27 906 28 969 29 1030 30 VII 4 1088 31 1145 32 I 5 0 33 53 34 105 35 155 36 II 5 204 37 251 38 298 39 342 40 III 5 386 41 429 42 471 43 512 44 551 45 590 46 628 47 666 48 V 5 702 49 738 50 773 51 807 52 841 53 874 54 906 55 938 56 969 57 999 58 1030 59 1059 60 VII 5 1088 61 1117 62 1145 63 1173 64 I 6 0 65 27 66 53 67 79 68 105 69 130 70 155 71 180 72 II 6 204 73 228 74 251 75 275 76 298 77 320 78 342 79 365 80 III 6 386 81 408 82 429 83 450 84 471 85 491 86 512 87 532 88 551 89 571 90 590 91 609 92 628 93 650 94 666 95 684 96 V 6 702 97 720 98 738 99 755 100 773 101 790 102 807 103 824 104 841 105 857 106 874 107 890 108 906 109 922 110 938 111 953 112 969 113 984 114 999 115 1015 116 1030 117 1044 118 1059 119 1074 120 VII 6 1088 121 1103 122 1117 123 1131 124 1145 125 1159 126 1173 127 1186 128 I 7 0 ------------------------------------------------------------------------------------------ ------------------------------------------------------------------------------------------