The Modary Map™ contains the system's 119 qualified modal-scales, and the map relates to the notes of an instrument, mechanically, like a slide-rule. Since the map is larger than the Note-Strip, the strip is depicted as the part that slides; although, since the notes of an instrument are fixed, it is actually the map that slides. The following figure is a portion from the map; it shows significant data relevant to the system's Main Spectrum. This spectrum contains the Major Scale [Main Orange] and the Natural Minor Scale [Main Blue] and their modal relatives. This figure indicates the 100% value with an 'x' symbol. In the simulator to follow, the values of the modes are adjusted to include the underlying chord.



Figure 3.2 : Sample Spectrum from the Modary Map

The Modes are depicted with Dot-Notation since they each can be rooted upon any of the 12 chromatic notes. The notes in the strip, however, are aligned not with the Dot-Notation but rather with the Modary Map's prescribed values. Each of the map's 12 columns possess certain fixed values for each mode, representing the specific degrees at which each mode is pertinent to each of the 12 relative chromatic points. Each of these points is accredited to and is labeled as a square with a specific color, and each square takes on a unique character since it permanently possesses all the values in its vertical column. The intervallic relationship between the colors and their order remain fixed, thereby revealing an otherwise hidden relationship between the modes, and such fixed nature holds true for all 119 Modes contained in the System's Map of Music Harmony.


Although the Map is fixed in form, it is able to accurately account for many of the perceptive-forces involved in chromatic harmony which stem from an underlying force broadly termed modulation. By occurring in multiples of itself and aligning with multiple chromatic locations simultaneously, the map is able to provide a detailed description of harmonic relationships. This will be easy to understand and is the central feature of the Modary System™.





The twelve points are specifically characterized to make it easy to identify them. They remain beside each other in a fixed relationship as relatives and slide together between various root-notes during any modulation. All values each Characterized Point possesses in its column will accompany it at all times. The quantified relationship between the Modes and the 12 Characterized Points remains fixed. We may associate the characterized points to any related objects in the tangible world; with the planetarium concept, they are celestial bodies within our solar system.

Orange
Yellow
Green
Blue
Indigo
Violet

Earth
Sun
Mars
Saturn
Uranus
Pluto

*

*

Black
Dark
Gray
Light
White
Red

Mercury
Comet
Neptune
Jupiter
Venus
Moon

The bass-note (not always the lowest note) that is occurring always adopts the point of view due to acoustics. The Bass-Points are ultimately the ones that are addressed with the values denoted by the Map. By adding certain notes above the Bass-Point, through the process of elimination there is some increase in certainty as to which modes are presently applicable, thereby increasing the certainty as to which of the 12 points are participating the most in the manifested harmony; the result is a specific inclination for the Map to realign. Such a realignment of the Map provides a change in perspective, from past to future, regarding the underlying relationship between Harmonic Forms; therefore, a modulation occurs and it can be tracked with great detail with this system.


The map indicates the triad-chord types since only the modes containing a particular chord or harmonic form will be relevant to that chord or harmonic form. The modes of the map can be listed in any order with or without all modes present and the map would still function considering such mode. For example, when a major chord is being played, one need only use the modes with the major chord; so only those modes need to be listed at that time.



The chords indicated: major, minor, augmented, diminished, neither.


Since most music does not consist of a constant strand of full modes, there is usually much uncertainty going on during a piece of music; when a chord has potential to be in two map-locations simultaneously, the potential for a modulation is at hand. To fully account for a situation of harmony, all 12 Characterized Points are to be regarded simultaneously with a technique called 12-Point View. Detailed information is thereby provided which can account for other perceptive-forces such as multimodality, and even suspense versus resolve. Computerized assistance can make calculations for the system's user and present the most relevant data first.


The 'Navigator' concept is provided in this website to give some insight into the Modary System's theory of operation. The system's software conveys to musicians the results of many calculations regarding an extensive database that is made available by the system regarding various harmonic forms, in order to provide the system's user with an in-depth view into harmony. The following 'Navigator' demo depicts only 30 of the system's 119 Modal Scales and prescribes for only Major and Minor Triads rather than the comprehensive variety of chord structures respected by the system.

Using the Modary Map Navigator the following process could be applied:


Using major and minor chords one could envision a chord progression. To change the chord-type, click the area around the plus & minus signs. The note-strip can be realigned by selecting a colored column, and then selecting the note to be aligned with the column.


Starting with either chord-type, a composer could choose any mode which contains such chord and melodize with the notes of such mode; the relative intervals involved in each mode are depicted horizontally by the system's dot-notation. The composer could also assume that the Map is to be aligned with their present chord/bass-note at any of the chromatic columns of high-value, as such values are comparable within each Mode's horizontal row. In the present Navigator, only the positions with a substantially high value are listed; the higher values indicate a higher relevance of the position.


Align the slide-rule such that the bass note of the chord you are performing is above the column that you are choosing to regard as active. Whether or not you choose the chromatic column of the highest value may not entirely matter, since we will be able to modulate using this system, and the new key signature will additionally offer its own set of values; the two sets of values, those involving both sides of the modulation, will ultimately be evaluated at their average.


By making a melody using all of the notes of any of the Modes which are substantially relevant to such column, uncertainty of the map's particular column-alignment to the chromatic scale is being correspondingly removed. In fact, according to the system, the composer may blend or combine various modes which have a high value within any particular column, and the relevance of system's concept of 12-point tonality becomes evident: while each of the 12 relative chromatic points remains relative and thus can modulate, each of them inherits a specific capacity and character through the system. The planet's are used to aid cognition via symbolic association.


Once a composer holds a particular chromatic column in favor for their present chord or bass-note, a particular alignment of the Map is in effect. In reference to the chromatic Note-strip, the Map is also able to prescribe the values found within each of its chromatic columns to each of the chromatic points as they are actively aligned at the particular moment. Such points serving as root-notes of chords or as bass-notes thereby adopt the present modal capacity that is indicated by the map per column.


In order to modulate, with the active involvement of some particular Mode which is substantial to your respected column, consider another column where the same mode has some substantial relevance. A modulation can then be tracked with the use of the system's map, as is demonstrated on this website by the 'Navigator'. These steps may seem tricky, especially if the composer already has a future chord in mind:


1. The composer is already respecting a particular alignment regarding both the map and the chromatic scale as previously explained.


2. Maintain regard of the present chord/bass-note and click on a column of the map that you are considering associating to this same present chord.


3. A page with the corresponding color-shade and celestial characterization will appear.


4. The user of the Navigator should then select the Bass-Note of the Present (earlier) Chord rather than any Future (later) Chord.


5. The Navigator will then appear with the selected realignment.


6. The Bass-Note of the Future (later) Chord of the two moments involved in the modulation can then be performed according to the present chromatic alignment of the Note-Strip; the chord-type can even be switched between major and minor. The values listed within the column aligned with the new bass-note indicate the relevance each mode has to the active tonality of the present bass note.


7. This entire process can then be repeated, and the difference between modality and tonality is clearly defined while a guide to exploration of musical harmony is accurately provided. A computerized interpretation of this same process is able to provide suggestions to composers and musicians automatically.


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