Common Musical Geometrical Ratios. First, what is a ratio?
Musically, in the diagram above: Every time a higher tone vibrates four times, the lower vibrates three. This creates the sound of a perfect fourth. All the perfect intervals and most harmonious tones of nature can be found at a bowling alley. Also, in the link below I explore the ratios of 6 to 5 found at Atlantis. The size of an interval between two notes may be measured by the ratio of their frequencies. When a musical instrument is tuned using a just intonation tuning system, the size of the main intervals can be expressed by small-integer ratios, such as:
3:2 (perfect fifth),
4:3 (perfect fourth),
5:4 (major third),
6:5 (minor third).
Below are the only the Perfect Intervals found by bowling pins in an alley
- The unison becomes the single, front standing pin.
- The perfect octave is the 1st pin divided by the 2 pins in the 2nd row: 2:1 is the higher octave.
- A perfect fifth is the ratio of the 3 pins in the third row divided by the two in the second: 3/2.
- As mentioned, the 4 divided by the 3 makes the ratio of the perfect fourth.
In mathematics, a ratio is a relationship between two numbers indicating how many times the first number contains the second.
Common Musical Geometrical Ratios of 5 and 6 were used by Atlanteans!