"The reason that each succeeding tonal note, which constitutes the elements of matter, are one octave higher is one entirely of increased pressure. You can better understand that by compressing some air in an enclosed box or tube in which you have inserted a whistle. The more air you pump in, the higher the whistle will sound when you open its valve. If you tighten a wire the same thing will happen. The same harp string can give you many tones if you turn the tuning pins higher, or lower. By the time the first octave string has multiplied in **cube ratio** nine times, the speed of vibration frequencies and intensity of pressure have reached the incredible proportions of 1,073,741,824 times greater in the 9th string than the first string.

You can better imagine the tremendous explosive pressures which lie behind radium and plutonium bullets by actually seeing the pressure figures. Try it. Start with the first octave at 8. By **cubing** 8 it equals 64, then 512, then 4,096. The carbon octave comes next with pressure of 32,768. These are your normal pressures, as well as for all organic animal and vegetable life. When you **cube** your normal pressures you are running into danger. Nitrogen, for example, is phosphorous when **cubed** once, and it is arsenic when **cubed** twice. Nitrogen is necessary for you but phosphorous and arsenic will immediately "eat up" the nitrogen of your body and kill you by their radioactive expansion." [Atomic Suicide, page 30-31]

**Figure 12.09 - Dimensions and Their Relationships**

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

**Relative Volume**

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 sidetherefore

**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**

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**

See Also

**Volumetric Resonator**
**Figure 6.19 - Sphere to Cube - Relations and Proportions**
**Figure 6.17 - Areas and Volumes - Relations and Proportions**
**Propositions Demonstrating the Relative Properties of Straight and Curved Lines**
**Keelys Physical Philosophy**
**cube-sphere**
**Laws of Being**
**Laws of Being - Annotated**
**14.09 - Brintons Laws of Being**
**PI**
**12.22 - The Continuing PI Rant**
**Propositions of Geometry**
**KEELYS PHYSICAL PHILOSOPHY - Snell**
**PoL - Chapter 3**
**VIBRATIONAL FREQUENCIES**
**Cubing the Sphere**
**Square Law**
**Inverse Square Law**
**6.10 - Nineness of Cubes**