This is an interactive app to explore the Key Squared Theory, or Integration Theory, by A Micron.

1. Optionally enter a Key, within which the code will Integrate all other inputs.

• If no key is entered, the ‘tonal centers’ of the melody will be relative to those notes in each note group.

2. Then enter a Melody, which can be one note or as long as you want.

• You can also separate the melody into note groups or ‘tonal centers’ by using commas.

• If a Key was entered, make sure the melody notes are within the key.

3. Then enter a Chord Progression by numbers 1-7, representing modes Ionian, Dorian, etc.

• Make sure the number of chords matches the number of note groups.

4. If you know the secret code, you can enter it in place of a key to access the secret garden level (wink emoji).

Play around with this app and I think you’ll find that there is some powerful information that can be gleaned from the output.

The Key Squared Grid itself contains all 49 modal possibilities in the given key.

• – This Grid is the foundation of Integration Theory. It is achieved thusly:

• 1. Finding the note which is a major third below the input Key note,

• 2. Determine the major scale notes of this lower third note,

• 3. The major scales of each of these major scale notes all contain the input Key note.

• 4. The 2D grid of these major scales are interpreted thusly:
  • a. Each Column represents each major scale containing the Key note, starting with Key Squared (the note a major third below the Key note).
  • b. Each Row represents each mode containing the Key note, starting with Ionian

The Perfect Table further illuminates this info thusly:

• 1. Finding common keys of the melody note(s) (per note group),

• 2. Determining the relevant modes of these common keys as per chord progression input,

• 3. Listing all the interval positions of the melody notes in the common modal keys.

Bonus!! The Secret Trimetric Level can be accessed by entering a special scale – the Trimetric scale.

• – The Trimetric Scale is from another A Micron music theory called Trimetry Theory.

• – Trimetry is achieved thusly:
  • 1. Taking three major scales, each a major third apart,
  • 2. Removing the second interval from each,
  • 3. The resulting 9-note scale is the Trimetric Scale.
  • 4. Try it! Example: C C# D# E F G G# A B

You can hear examples of these Amicronian theories scattered throughout A Micron music.

• For Key Squared, check out:
  • – Manche 13
  • – Manche 14-15
  • – Shroud of Turing (first song written exclusively with this A Micron app)
  • – Squared Blues
  • – Within the Area
  • – Lydian Square
  • – Integration
  • – Key – Key² Simple – Key² Modal (step-by-step mutation of same inputs through Integration process)
  • – Chromagic
  • – Trigger (Defines the Modal Scale Squared)
  • – London
  • – Wrong and Arrived
  • – A Gain, Movement II

• For Trimetric Theory:

• – The entire A Micron album, Trimetry, is written in Trimetric Theory, and tells of its heroic journey of good vs evil.

• – Manche 10

EXAMPLES:

A. Here’s an example to get you started, and some (hopefully helpful) explanations as we go:

• 1. Enter Key: C

• 2. Enter Melody: C, D, E

• 3. Enter Chord Progression: 2, 5, 1 (good old jazz turnaround)

.

Output:

Key Squared Grid = G#

• – This means that the major scales of {G#, A#, C, C#, D#, F, G} all contain the input Key note, C.

.

Perfect Table

• – For each melody note group (here, one note between each comma, so one note per note group):
  • – The Common Keys are all major scales (within the area of G#^2) which contain the note(s) in each note group.
  • – Modal Chords are the relevant modes, from the input Chord Progression, for each note group.
  • – The Intervals Columns list the Modal Scales, which contain the input Melody note(s), in various intervals.
  • —- If you sing the note C, and want it in the Dorian mode, and you want to sing the 7th of the modal chord, you look in the last Column in the “C” Row to find that the note you are singing is the 7th interval of D Dorian.
  • —- If you want to sing the note D in Mixolydian, and be the 5th of the chord, you look in the “D” Row and “Interval 1,3,5” Column to find that the Modal Key you should have accompanying you is G Mixolydian.
  • —- Similarly for singing the note E, you can be the 3rd of C Ionian, or the 13th (6th) of G Ionian, for example.

.

To help gain some intuition, let’s watch what happens to the output when we change inputs.

.

B. Let’s try just removing the input Key, C. Just clear that box and leave the Melody and Chord Progression values as they are.

.

• 1. Enter Key: (leave blank)

• 2. Enter Melody: C, D, E

• 3. Enter Chord Progression: 2, 5, 1

.

Output:

.

Instead of a Key Squared Grid, a Common Keys Analysis Integrates each note in each note group in Melody, and then finds all Common Keys of the group.

.

The Perfect Table:

• – The output is similar here, but instead of being drawn from the Key Squared Grid, it is populated using the results from the above Common Keys Analysis.

.

C. Let’s now put the C back as the the Key and leave the same Chord Progression values we entered,, but change the Melody slightly. Instead of “C, D, E”, try this: “C D E, C D, E”.

.

1. Enter Key: C
2. Enter Melody 1: C D E, C D, E
3. Enter Chord Progression: 2, 5, 1 (there are still three Melody note groups, so we’ll leave this).

.

Key Squared Grid is the same as in Example A.

.

Perfect Table:

• – The values in this table are found similarly to Example A, but Common Keys of all notes in each note group are found from the Key Squared Grid.
• —- If you sing the melody, “C D E”, these notes are all found in the keys of C, F, G, within the Integrated area of Key = C. In this case, we want to sing this line over a Dorian mode, so you can choose between Dorian modes D, G, and A, depending on your choice of note interval. (I want it to be “C D E”, with C being the 3rd interval of the mode. In that case, according to “Interval 1,3,5” Column, You will play an A Dorian mode under the Melody line.
• —- Similarly for the remaining note groups in the Melody.

.

.

You can enter your own melody (in or without any key), split it into groups however you like to fit your chord changes, add your own chord progressions, and see what pops out!