Learn the System
The conceptual framework behind the Musical Universe — how to think about the fretboard as navigable space, not memorized patterns.
The Core Question
Every decision in the Musical Universe is driven by one question:
“Where am I, where can I go, and what will it feel like when I get there?”
This replaces “what scale should I use?” with a spatial and emotional orientation. You are always somewhere on the fretboard, always within a gravitational field (the key), and always choosing how much tension or resolution to introduce at the next moment.
Zoom Hierarchy
The fretboard is organized as nested layers of scale. You can zoom in or out at any moment during navigation.
Key Vocabulary
Parallel-Galaxy Doctrine
⟳ Doctrine
This doctrine exists because the two tunings are not just different fingerings — they create genuinely different interval environments. DADGAD's open Dsus2 drone creates natural resonance at the 1st, 4th, and 5th degrees, which changes how voice leading and Orbits feel physically. Running them in parallel from day one prevents Standard habits from becoming the default template that DADGAD has to fight against.
Standard Galaxy
- Equal string-to-string intervals (4ths, one 3rd)
- Barre chord shapes portable everywhere
- CAGED pattern infrastructure
- You already know this terrain
DADGAD Galaxy
- Open strings: D–A–D–G–A–D (Dsus2)
- 3rd string (G) creates unique cross-string intervals
- Natural drone resonance on root, 4th, 5th
- New Constellation shapes required from scratch
◆ Note
The Orbit System
Every diatonic chord has its own Orbit — the local cluster of that chord's tones reachable within ~5 frets of your hand position. An Orbit belongs to a chord, not a note. D major has an Orbit, F# minor has an Orbit, A major has an Orbit — each is a distinct map of chord tones within the same physical window.
Here is where it becomes powerful: a single note belongs to three different Orbits at once. If you're on A, you can navigate from within the A major Orbit (A is the root), the F# minor Orbit (A is the third), or the D major Orbit (A is the fifth). Each choice reveals a different constellationof nearby chord tones — without moving your hand. The navigation decision is harmonic, not positional: which chord's territory are you choosing to be in right now?
Example: A at fret 7 navigating from D's Orbit (A is the fifth) — nearby chord tones in the ~5-fret window
Orbit Generator (modulo-7 rule)
For a note at scale degree N, the modulo-7 rule identifies its three Orbit memberships: N (as root — the chord rooted at N), N−2 mod 7 (as third — the chord rooted at N−2 contains this note as its third), and N−4 mod 7 (as fifth — the chord rooted at N−4 contains it as its fifth). Three Orbits, one note, one position:
Example: Note G (degree 1 in G major). As root → G major (I). As third → E minor (vi, at 1−2 mod 7 = 6). As fifth → C major (IV, at 1−4 mod 7 = 4). Three Orbits, three constellations of nearby chord tones — all reachable from the same fret. Notice G appears in both G major and C major: that's a Shared Anchor.
Segment Types
L — Large (diatonic)
0-2-4 semitones: two whole steps, 3 notes. In D major: degrees 1-2-3 (D-E-F#), 4-5-6 (G-A-B), 5-6-7 (A-B-C#).
M — Medium
0-2-3 semitones: whole + half step, 3 notes. In D major: degrees 2-3-4 (E-F#-G) and 6-7-1 (B-C#-D).
P — Passing
0-1-3 semitones: half + whole step, 3 notes. In D major: degrees 3-4-5 (F#-G-A) and 7-1-2 (C#-D-E).
S — Short (pentatonic)
0-2 semitones: one whole step, 2 notes. Pentatonic only. Connects chord tones across a whole-step gap.
L — Large (pentatonic)
0-3 semitones: a minor third, 2 notes. Pentatonic only. Same name as diatonic L, different shape and note count.
L (diatonic)
W+W · 3 notes
M (Medium)
W+H · 3 notes
P (Passing)
H+W · 3 notes
L (pentatonic)
m3 · 2 notes
S (Short)
W · 2 notes
Segment Cycles
Segments repeat in a predictable cycle as you move across strings. The cycle is a property of the tuning geometry — knowing it means you always know what shape comes next without memorizing position by position.
Diatonic Cycle
On equal-interval strings, moving through the diatonic scale one string at a time produces this repeating sequence of 3-note shapes:
L1 — L2 — L3 ↑ P1 — P2 — M1 — M2
↑ = shift UP one fret at the L→P seam (Phrygian shift). No other positional shifts in the cycle.
Mode entry points — which cycle position holds the mode root:
Pentatonic Cycle
Uses pentatonic L (0-3, minor third) and S (0-2, whole step). Moving across strings produces:
[ S1 — S2 — S3 ] ↓ [ L1 — L2 ]
↓ = shift BACK one fret at the S→L seam. Opposite direction from the diatonic shift.
Entry points:
Same cycle, two entry points — the same relationship as Ionian and Dorian in the diatonic cycle.
String Adjustments by Tuning
The cycles above assume equal-interval strings. Real tunings require corrections at certain string crossings:
Standard Tuning
The B string (string 2) is one semitone narrower than a perfect 4th. Shift up one fret when crossing onto or off string 2.
DADGAD Tuning — The Pair System
DADGAD string intervals are uneven (P5-P4-P4-M2-P4), so the segment cycle breaks at three distinct crossings. The Pair System names the structure:
String families: D-family (strings 6, 4, 1 — all open D, share the same scale pattern), A-family (strings 5, 2 — both open A, share the same scale pattern), G-singleton (string 3 — open G, one-note bridge between Core and Treble pairs). D Dorian: 4-3-4-1-3-1 notes per string.
Emotional Coordinates
Every note choice and voicing lives on a 2-axis emotional grid. The axes are independent — you can be harmonically tense but melodically bright, or resolved but dark. This gives you four quadrants:
Arrival Behaviors
At every chord change, a melodic line has to arrive somewhere. The four arrival behaviors tell you how it lands:
◆ Note
Harmonic Architecture (HP)
Harmonic Processions (HP) treats the Circle of Fifths as an actual topological space rather than a mnemonic device. It adds a structural layer to the Musical Universe stack: Plogger describes acoustic perception (how individual intervals feel), HP describes harmonic architecture (how pitch sets are positioned and move on the Circle), and the Musical Universe describes navigation (how you traverse fretboard space).
Plogger
Acoustic/perceptual — pulsation, harmonicity, F/O factor. The physics of individual intervals.
HP
Structural/architectural — how harmonic sets are positioned on the Circle of Fifths and how they move between positions.
Musical Universe
Navigational — how you traverse fretboard space through orbits, constellations, and segments.
Span
The distance in perfect fifths between the outermost notes of a pitch set, measured on the Circle. Span is HP's primary coordinate. Smaller Span = more acoustically fused; larger Span = more harmonically tense.
P5 or P4
Span 1
M2 or m7
Span 2
m3 or M6
Span 3
M3 or m6
Span 4
Tritone
Span 6
This ordering matches the sprint sequence exactly — Span and sprint priority converge on the same interval ordering from different premises.
Three Procession Types
Moves one fifth at a time in a consistent direction. The engine of functional harmony — V→I is a Natural Procession of one step in the flat direction.
Stays within a Span zone, moving laterally on the Circle. Creates modal color without changing the key center. The engine of mode mixture.
Changes Span deliberately — increasing harmonic density toward a climax, or decreasing it toward resolution.
Sharp / Flat Projection
Every harmonic set pulls toward the sharp side of the Circle (toward dominant) or the flat side (toward subdominant). Mirror Sets share the same Span but have opposite projection — acoustically equivalent density, harmonically reversed direction.
Sharp projection
Gravity toward dominant. Example: G major projects sharp toward D major.
Flat projection
Gravity toward subdominant. Example: F major projects flat toward C major.
Plogger Connections
The Musical Universe is a navigational system. Plogger's method is an acoustic perception system. They operate at different levels and are deeply complementary. Here is how the two frameworks map to each other:
Harmonicity → Core / Structural / Color / Tension roles
Plogger ranks di-chords by harmonicity — how consonant two notes are when sounded together. This maps directly onto the vertical classification of notes within a Constellation: high-harmonicity intervals = Core or Structural notes; medium = Color; low = Tension/Dissonance.
→ Plogger Ch.12: Di-Chord Sonic Properties · Ch.13: HarmonicityInterference Pulsation → Constellation Voicing Texture
Plogger's interference pulsation rate (how quickly two pitches “beat” against each other) determines voicing tension. Fast pulsation = tense, buzzy Constellations (avoid for stable arrivals). Slow pulsation = smooth, resting voicings (good for Confirm arrivals).
→ Plogger Ch.14: Interference PulsationF/O Factor → Orbit Resolution Direction
Plogger's Fundamental / Overtone (F/O) factor describes whether a note naturally wants to resolve downward (Fundamental direction) or upward (Overtone direction). This is the psychoacoustic engine behind what the Musical Universe calls the Resolve arrival behavior — the direction of stepwise resolution from a Tension-zone note is predicted by its F/O factor.
→ Plogger Ch.15: F/O Factor and ResolutionDi-Chord Numbers → Orbit Interval Labels
Plogger numbers di-chords 1–11 (unison through octave). These numbers can serve as shorthand labels for the interval relationship between any two Orbit notes within a Constellation — a more precise language for naming what's happening inside a voicing than “major third” or “minor seventh.”
→ Plogger Ch.10: Di-Chord Classification · Ch.11: The Di-Chord SystemSprint Sequence = HP Span Sequence — Convergence
The sprint order (P4/P5 → M2 → m3/M6 → M3 → Tritone) is identical to HP's Span sequence (Span 1 → 2 → 3 → 4 → 6). Plogger arrived at this ordering through acoustic measurement — beating rates and harmonicity scores. HP arrived at it through geometric measurement — distances on the Circle of Fifths. Two independent theories, different premises, the same ordering. This is the deepest structural connection in the AMF: acoustic perception and harmonic architecture converge on the same interval priority.
S 2–3
P4 / P5
Span 1
S 4
M2
Span 2
S 5–6
m3 / M6
Span 3
S 7
M3
Span 4
S 8
Tritone
Span 6