The Eat at Joe's Kawai K5000 Message Board Digest
Frequency Values of the Harmonics
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Date: Sun, 21 Dec 1997 13:33:26 -0600
From: Leiter <leiter@skypoint.com> 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
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