▸ noun: the loudness of a
sound from a television
?, radio
?, etc.
▸ noun: an amount of something
▸ noun: the amount of
space something fills, or the amount of
space in a container
▸ noun: the
magnitude of
sound (usually in a specified direction) ("The kids played their
music at full
volume")
▸ noun: the amount of 3dimensional
space occupied by an object ("The gas expanded to twice its original
volume")
▸ noun: a relative amount ("Mix one
volume of the
solution with ten
volumes of
water")
▸ noun: the
property of something that is great in
magnitude
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 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 cps  1  D as 1st octave

0       C## nonoctave 
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
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^{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 cps  1  D as 1st octave

0       C## nonoctave 
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
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^{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 cps  1  D as 1st octave

0       C## nonoctave 
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
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^{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 cps  1  D as 1st octave

0       C## nonoctave 
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
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^{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 cps  1  D as 1st octave

0       C## nonoctave 
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
See Also
Figure 6.17  Areas and Volumes  Relations and Proportions
Sympathetic Volume
Table 12.02  Length Area and Volume Math
Volumetric Resonator