|
OCTAVE RATIOS AND TUNINGS
| Note |
C
|
D
|
E
|
F
|
G
|
A
|
B
|
| True Ratios |
1:1 |
9:8 |
5:4 |
4:3 |
3:2 |
5:3 |
15:8 |
| Phythagoran |
1:1 |
9:8 |
81:64 |
4:3 |
3:2 |
27:16 |
243:128 |
| Justified Ratios |
1:1 |
55:49 |
63:50 |
578:433 |
433:289 |
37:22 |
185:98 |
| Justified Tuning |
261.62 |
293.66 |
329.63 |
349.23 |
391.99 |
440 |
493.84 |
TRUE OCTAVE FREQUENCIES IN CPS
Note: 1CPS to 15 CPS are sub-audible just as 1 to 15 CPS brain
waves are subconscious.
There are about 10 octaves audible about 5 octaves ultra-sonic.
These charts can be superimposed over each other.
Realize that any position on any chart has a corresponding position
on all the other charts. Each musical note, for instance, has a
corresponding color, element, energy center in the human body, and
electromagnetic frequencies that it resonates with. Brainwaves of
a specific frequency, for instance, may be induced by sounds, colors,
elements, and electromagnetic fields that are in harmonic relationships.
|
C
|
D
|
E
|
F
|
G
|
A
|
B
|
| 1.00 |
1.125 |
1.25 |
1.333 |
1.50 |
1.666 |
1.875 |
| 2.00 |
2.250 |
2.50 |
2.666 |
3.00 |
3.333 |
3.750 |
| 4.00 |
4.50 |
5.00 |
5.333 |
6.00 |
6.666 |
7.50 |
| 8.00 |
9.00 |
10.00 |
10.666 |
12.00 |
13.333 |
15.00 |
| 16.00 |
18.00 |
20.00 |
21.333 |
24.00 |
26.666 |
30.00 |
| 32.00 |
36.00 |
40.00 |
42.666 |
48.00 |
53.333 |
60.00 |
| 64.00 |
72.00 |
80.00 |
85.333 |
96.00 |
106.666 |
120.00 |
| 128.00 |
144.00 |
160.00 |
170.666 |
192.00 |
213.333 |
240.00 |
| 256.00 |
288.00 |
320.00 |
341.333 |
384.00 |
426.666 |
480.00 |
| 512.00 |
576.00 |
640.00 |
682.666 |
768.00 |
853.333 |
960.00 |
| 1024.00 |
1152.00 |
1280.00 |
1365.333 |
1536.00 |
1706.666 |
1920.00 |
| 2048.00 |
2304.00 |
2560.00 |
2730.666 |
3072.00 |
3413.333 |
3840.00 |
| 4096.00 |
4608.00 |
5120.00 |
5461.333 |
6144.00 |
6826.666 |
7680.00 |
| 8192.00 |
9216.00 |
10240.0 |
10922.66 |
12288.0 |
13653.33 |
15360.0 |
| 16384.0 |
18432.0 |
20480.0 |
21845.33 |
24576.0 |
27306.66 |
30720.0 |
| 32768.0 |
36864.0 |
40960.0 |
43690.66 |
49152.0 |
54613.33 |
61440.0 |
| 65536.0 |
73728.0 |
81920.0 |
87381.33 |
98304.0 |
109226.6 |
122880 |
| 131072 |
147456 |
163840 |
174762.6 |
196608 |
218453.3 |
245760 |
| 262144 |
294912 |
327680 |
439525.3 |
393216 |
439606.6 |
491520 |
| 524288 |
589824 |
655360 |
699050.6 |
786432 |
873813.3 |
983040 |
Cross referencing between different charts yields interesting results.
A musical melody may be decoded into a chemical formula. A molecular
substance may be interpreted as a musical melody. These harmonic
relationships are present in all of reality.
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