A Micron has developed several innovative Music Theories.

Theoretical Published Work

Unified Tonal Field Theory: Forthcoming work prioritizing the unification of previously established theories into one navigational framework for harmonic analysis, composition, or study.

Partial Integration and Trimetric Structures in Altered Scales: This academic work establishes the formalization and reasoning of Partial Integration of a note with respect to an altered scale, specifically melodic minor, harmonic minor, and harmonic major scales.

Integration Theory: An Exponential Approach to Harmonic
Analysis and Composition

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.er

Trimetric Theory: Equilateral Tonal Symmetry in
Quaternary Chromatic Space

Trimetry is the phenomenon where the synthesis of the major scales, disabused of their second interval notes, of three tonics which make up an augmented triad. In the case of Partial Integration, Trimetric Theory can be applied to altered scales directly; in Standard Integration, the application is typically indirect. This is a much more sophisticated analysis than traditional enneatonic scale treatments in music theory.

Musical Examples:

  • The upcoming 2025-2026 A Micron album, The Integrator, will be written exclusively using the upcoming A Micron software program, The Integrator. As of the end of 2025, some tracks have already been added to home page new music.
  • The 2025 A Micron album, Solitaire Squared, was written exclusively using the video game, Solitaire Squared, by A Micron, which is a game played using the musical logic of Integration Theory, developed by A Micron. Winning produces a custom ‘sheet music’ of a unique song based on that game! This album is proof of concept.
  • The 2024 A Micron album, Integration, was written expressly using the Key Squared Generator software by A Micron, which computes the Integration of user inputs as explained in the A Micron academic research paper on the subject.
  • The 2023 A Micron concept album, Trimetry, was written expressly using Trimetric Theory.

Integration Software

The Integrator: (Dec 2025) This forthcoming software program is like the Key Squared Generator on the extra smack of additions like Partial Integration, altered scales analysis, more user input options, more controls for RCP generation and chord progression movement, full midi and text export capability, Integrated melodic harmonization, and more! Users can write infinities of wild things with this.

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.

Games

Solitaire Squared: This simple but effective video game uses keys as suites, with modes/scale intervals as ranks,. The goal is like solitaire – to play all your cards – but here, you use Integration Theory to help you win! And if you win, you get a unique Victory Card with musical information generated uniquely for the game you just won – enough to write your own song!

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 from certain Death!

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!

Documentation (“Codeouts”)

Codeouts: This page is a collection of downloadable text files containing the ‘sheet music’ of the following:

  • Codeouts of songs from the upcoming 2025-2026 A Micron Album, written entirely using the upcoming A Micron software, The Integrator.
  • Screenshots of Victory cards of songs from the 2025 A Micron album, Solitaire Squared (written entirely using the Solitaire Squared card game by A Micron).
  • Codeouts of songs from the 2024 A Micron album, Integration (written entirely using Integration Theory and the Key Squared Generator software by A Micron). 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.
  • Lists of Common Keys of various combinations of notes, for use in general Integration analysis, to play Integration Quest, or other. Here you can also find extensive Integration analysis of multiple-note input melodies.
  • Random notes or facts or theories or rumors, as may or may not be appropriate.