**Figure 12.09 - Dimensions and Their Relationships**

courtesy University of Science and Philosophy

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 8

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

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

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

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

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

Cube Volume = 1 = 1

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

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

^{1}3+ = 1/8 of 2+ or 2+ = 8 X 3+ or 8

^{2}2+ = 1/8 of 1+ or 1+ = 8 X 2+ or 8

^{3}**Numeric Progressions**(units)1st Dimension = Linear = 1, 2, 4, 8.. (Doubling, nX2)

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

^{2})3rd Dimension = Volume = 1, 8, 64, 512.. (Cubing, n

^{3})**Volumes**Cube Volume = 1 = 1

^{3}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**

Indig | Vol. Units | Vol. Calc | Wavelength | Example | Octave | Note |

4 | 1 | 1 ^{3} | 1 | 1 cps | 4 | G as 4th octave |

3 | 8 | 2 ^{3} | 2 | 1/2 cps | 3 | F as 3rd octave |

2 | 64 | 4 ^{3} | 4 | 1/4 cps | 2 | E as 2nd octave |

1 | 512 | 8 ^{3} | 8 | 1/8 ccps | 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

**arithmetical progression**

**Frequency**

**Geometrical Progression**

**Laws of Being**

**progression**

**Ratio**

**Reciprocal**

**Reciprocating Proportionality**

**Square Law**

**Table 12.02 - Length Area and Volume Math**

**Tone**

**Volume**

**wave number**

**Wavelength**

**12.00 - Reciprocating Proportionality**

**12.18 - Multiple Octave Progression**

**References**

Calculate various Properties of a Cylinder

See Also

**Area**

**Cube**

**Length**

**Sphere**

**Volume**