A Micron has developed several innovative Music Theories.
Integration Theory
Integration Theory, Key Squared Theory, or Perry’s Theorem, is a novel approach to harmonic analysis. It obeys traditional Diatonic Theory and transforms a linear scale approach into an area of scales.
In short, given any input note, the Integration Operation locates the note a major third below, treating this new note as the tonic of a new ‘major scale’, and then makes each interval the tonic of its own major scale. In essence, it finds the ‘major scale of major scales’ in which the given input note is found exclusively to reside. From here, the modal analysis of any given input note is expanded from the traditional seven modal options within a major scale, to 7 modal options in 7 major scales, covering an area of 49 modal possibilities.
Key Squared Generator: This is a powerful program I developed to apply and analyze Integration Theory. This abridged version is capable of taking any melody, grouped by chord changes, and any chord progression, whether in a Key or not, and output the results of Integration, Modal Analysis, and more. The unabridged version has additional features, including a Random Chord Progression Generator.
This code is also able to do basic analysis of the Trimetric Scale.
Integration: The Siege of Scale World: This is a roll-player game I developed with Python and JavaScript, that imagines the musical world of 12 Lands (12 major scales), each having 7 citizens (7 notes), and each citizen holds office in a capacity relative to his level of import within the Land’s Government (major scale). Each inhabitant of Scale World is a citizen in 7 of the 12 Lands, and thus holds 7 officer roles in varying ranks depending on his role within each Land’s Government.
The Order of Succession is:
President (Tonic),
Vice President (5th interval),
Speaker of the House (4th interval),
President Pro Tempore of the Senate (3rd),
Secretary of State (7th),
Secretary of the Treasury (6th),
Secretary of Defense (2nd).
At the start of the game, most of the inhabitants of Scale World have been kidnapped and held ransom. The objective of the game is to make coalitions which can free the inhabitants (Notes) and secure the Capitol Buildings (Keys). The kidnappers are impatient and have planted a bomb set to destroy Scale World (20-turn limit). Also, they occasionally impose additional ransom in the form of special Challenge Levels. By forming the right coalitions, more ransom money can be collected (Points) and hostages can be rescued, with the ultimate goal of Saving Scale World.
Integration Quest: This is another game I developed to illustrate Integration Theory. The objective is straight-forward: to identify the product of Integration for a given input melody. Level 1 has 1-note melodies, Level 2 has 2-note melodies, and so on, and each Level is factorially more complicated than the last. Players can choose Easy Mode (Common Keys) or Hard Mode (Common Modal Keys). I don’t condone cheating, but the Key Squared Generator may be helpful in higher Levels!
Codeouts: This page is a collection of downloadable text files containing the ‘sheet music’ of songs from the upcoming 2024 A Micron album, Integration (an album written entirely using Integration Theory). These are no ordinary sheets; rather, they are data from the (full-version) Key Squared Generator, which was used extensively in the composition of this album. Here you can also find extensive Integration analysis of multiple-note input melodies.
Trimetric Theory
This Theory states that a unique, symmetrical, 9-note scale, the Trimetric Scale, can be formed by three major scales, the tonic of each separated by four semitones, and the second interval of each having been removed. The Trimetric Scale, thus, contains three partial major scales embedded within it.
Example:
C Major {C _ E F G A B}
+ E Major {E _ G# A B C# D#}
+ G# Major {G# _ C C# D# F G}
= CEG# Trimetric {C C# D# E F G G# A B}.
The 2023 A Micron concept album, Trimetry, was written expressly using Trimetric Theory.