The Meaning and Definition of Modes and the Discovery of New Modes
This section recalls most of the course of the relevant concepts being assembled in order toachieve a functional map of musical harmony, called the Modary Map™. In Figure 1 we areable to see the first innovation made by this research, 'The Main Spectrum': we notice thatby drawing the dimension of the chromatic scale (horizontal) as perpendicular to that of thecircle of 5ths (vertical), the known rainbow-spectrum concept can be applied to all of the primary key-signatures simultaneously as one idea. The two-dimensional concept obtained is then also called a 'Spectrum', though later we discovered that there are many more of these, and that ultimately a total of 17 Spectrums somehow share a correlation.
The Main Spectrum, Expanded View : Figure 1
The figure above shows the spectrum-concept in its original detail. Any of thesystem's spectrums include 7 Modes that will always exists at the same distance from any of their relative modes regardless of the key signature,for example: the Natural Minor Scale [Blue] is always the same intervallic-distancefrom the Major Scale [Orange]. Modes are simple geometric patterns that alwaysfit into a particular position within a larger geometric pattern, and suchpattern is technicallytermed a 'parent scale-form'.
Comparing the above and below figures, we can observe how the Dot-Notation of the PrimaryDiatonic Scale, or any of its modes, stays the same in form even when the key-signature has changed and the notes of the keyboard obtain new colors. The Major Scale is always found at Main Orange [MO]; the Natural Minor Scale is always found at Main Blue [MB].
Figures 1.2 and 1.3
The Primary Diatonic Scale-Form, which has the Major Scale the Natural Minor Scale, is so common in the art, that all of its modes have traditional names that have beenin use for nearly two-thousand years.
New modes still needed to be introduced in order to provide an equal treatment of the positions within the other scale-forms that were being used in the art throughout history,namely: the Medlodic Minor Scale and the Harmonic Minor Scale.