ACCIDENTAL SPACE
is the category consisting of
heptatonic scales with
flat/sharp movements
collectively known as accidentals.
Name: A-Space
Objects: Heptatonic Scales
Morphisms: Accidental Operators
Degree Spelling: 1526374
Accidental Spelling: b4 b7 b3 b6 b2 b5
Major Accidental Network (MAN)
One scale: major in 5-space
The Little Wheel
Two scales: Major and Melodic Minor

The Step Triangle
Three Scales: Major, Melodic Minor,and Neapolitan major
The Little Loop
Four Scales: Major, Melodic Minor, Neapolitan Major, and Neapolitan Major
The Harmonic Wheel
Four Scales: Major, Melodic Minor, Harmonic Major, and Harmonic Minor scales
The Big Loop
Eleven Scales: Major, Melodic Major and Minor, Harmonic Major and Minor, Neapolitan Major and Minor, Byzantine, Hungarian, Enigmatic, and Whole-Tone
- A-space is new and unique to KCM
- Accidentals universally generalize Characteristic Intervals
- A-space is based on the six scale degrees of the Major Scale
- Accidentals as operators form the basis of Accidental Algebra
- Chord Quality is seen as clusters of modes in Accidental Space
Further References within and without KCM




