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Table 12.02 - Length Area and Volume Math

Russell Dimensions and Their Relationships

Figure 12.09 - Dimensions and Their Relationships



In graphic Figure 12.09 - Dimensions and Relationships it is clear:

Relative Volume

Accumulating Dispersing

4+ = 1/8 of 3+ or 3+ = 8 X 4+ or 81

3+ = 1/8 of 2+ or 2+ = 8 X 3+ or 82

2+ = 1/8 of 1+ or 1+ = 8 X 2+ or 83

Numeric Progressions (units)

1st Dimension = Linear = 1, 2, 4, 8.. (Doubling, nX2)

2nd Dimension = Area = 1, 4, 8, 64.. (Squaring, n2)

3rd Dimension = Volume = 1, 8, 64, 512.. (Cubing, n3)

Volumes

Cube volume = 1 = 13

Cube Volume = 2 = cube root of 2 = 1.259922 on side

Cube Volume = 4 = cube root of 4 = 1.587403 on side

Cube Volume = 8 = cube root of 8 = 2 on side


therefore

Wavelengths and Frequencies - Octave Relations of Russell's Indig Number System


IndigVol. UnitsVol. Calc Wavelength Example Octave
Note
4
1
13
1
1 cps
4
G as 4th octave
3
8
23
2
1/2 cps
3
F as 3rd octave
2
64
43
4
1/4 cps
2
E as 2nd octave
1
512
83
8
1/8 cps
1
D as 1st octave
0
C## non-octave

Table 12.02.01 - Wavelengths and Frequencies

Showing linear versus geometric progressions as also other types of progressions (counting methods or scales).

See Also

12.00 - Reciprocating Proportionality
Frequency
Ratio
Reciprocal
Reciprocating Proportionality
Square Law
Tone
Laws of Being
Volume
Wavelength
wave number


References
Calculate various Properties of a Cylinder (external link)


Page last modified on Sunday 11 of August, 2013 05:05:01 MDT