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first condition of the second ratio

Ramsay = wave amplitude, swing of a pendulum.

"In the laws of quantities and motions there are three primary ratios from which the musical system of vibrations is developed.
Pendulums, from the slowness and continuance of their motions, are well adapted to give an ocular demonstration of the relative motions of each of these three primary ratios when compared and combined with the unity and with each other. The numbers 2 and 4 express the first condition in the first ratio; as, in falling bodies, when the times are 2 the distances are 4. In the case of two pendulums, when the length of the one is one fourth part of the other the motions are 1:2; and when two is counted for the upper one, the oscillations of these two pendulums will meet at one. The numbers 3 and 9 express the first condition of the second ratio; as, in falling bodies, when the times are 3 the distances are 9. In the case of two pendulums, when the length of the one is the ninth part of the other, the motions are 1:3; and when three is counted for the upper one, the oscillations of these two pendulums will meet at one. The numbers 5 and 25 express the first condition in the third ratio; as, in falling bodies, when the times are 5 the distances are 25. In the case of two pendulums, when the length of the one is twenty-fifth part of the other, the motions are 1:5; and when five is counted for the upper one, the oscillations of these two pendulums will meet at one.
In the system of motions in pendulums, the three primary ratios indicated in the foregoing paragraph, namely, 2:4, 3:9, and 5:25, are compared and combined with three different units. In their comparison, 1 is the unit of quantities, that is lengths, and 1 is the unit of motions. The numbers 1/4, 1/9, and 1/25, when taken together with 1 as unity, express the first comparison and combination of quantities; and the numbers 2, 3, and 5, taken together with 1 as unity, express the first comparison and combination of motions." [Scientific Basis and Build of Music, page 15]

See Also


01 - Symbols and Conditions of Vibratory Streams
05 - Chart Showing the Conditions Governing the Transmittive Link of Sympathy
06 - Chart Showing the Conditions Governing the Discordants
07 - Chart Showing the Conditions Governing Harmonious Chords
11.13 - Dominant Conditions are Mated Opposing Pairs as Fifths
16.24 - Triune Vibratory States or Conditions
amplitude
Changed Conditions of the Times
Condition
Distance
dominant condition
dual sex condition
enharmonic
Figure 8.8 - Polar States or Conditions as Seeming Opposites
first condition in the first ratio
first condition in the third ratio
first condition of the second ratio
Law of Motion
laws of motion
laws of oscillatory and vibratory motions
laws of quantities and motions
laws of vibratory motion
like condition
Lorentz Gauge Condition
mental emotional condition
molecular condition
Motion
negative condition
Newton Laws of Motion
Newton Third Law of Motion
Number
One changeless condition
Period
perpetual restlessness
positive condition
pressure condition in motion
Ratio
Reflex - Conditioning
Relativity
savage condition
sex-conditioned pairs
sex-divided condition
Signal Conditioner
static condition
Sympathetic Conditions
theory of relativity
thermal condition
Time
three primary ratios
triple condition of vibration
triple conditions
triple vibratory condition
Unconditional Love
vacuum condition
vitalized conditions

Created by Dale Pond. Last Modification: Sunday April 24, 2022 03:02:17 MDT by Dale Pond.