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TPS (Piano)

Keyboardist / Harmonist

Triad Placement System — Piano

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TPS Piano Field Manual

Triad Placement System — Piano

AMF Internal Band Role: Keyboardist / Harmonist

Version 1.0 | Built for blues-rooted, genre-agnostic adaptive musicianship.


What TPS Is

TPS is the voicing system of AMF. In the Internal Band metaphor, TPS holds the Keyboardist / Harmonist role. Its job is to produce harmonic color — the specific emotional quality created by placing particular notes over a root.

TPS works through compression. A chord symbol like Cmaj13#11 contains a great deal of information. The practical musical action is often much simpler: place a D major triad over C. That one small shape produces the 9th, #11, and 13th. The mental load drops; the harmonic color remains powerful.

TPS Core Formula: Shape + Placement + Spacing + Purpose = musical color.

  • Shape is what your hands know — the four triad atoms
  • Placement is what your mind understands — which scale degree
  • Spacing is what your ear feels — how the notes are distributed in register
  • Purpose is what PDC decides — why this color in this moment

TPS is not just a chord trick. The same placement map can generate voicings, comping parts, chord melody fragments, fills, melodic material, intros, outros, and atmospheric textures. When you play the notes together, TPS produces harmony. When you play them one at a time, TPS produces melody. When you apply a rhythm cell, TPS produces groove vocabulary.

TPS and PDC

PDC determines the musical need. TPS supplies the harmonic option. Without PDC, TPS becomes a pile of pretty but contextless colors. With PDC, every TPS choice has a reason: this color serves this musical moment.

TPS is a pedagogical systematization of an established jazz vocabulary: upper-structure triads. The same relationships — placing specific triads over specific roots to produce specific interval colors — appear in jazz piano pedagogy from Levine, Berklee, and practitioner traditions. What TPS adds is a beginner-accessible systematic framework: named placements, explicit connections to PDC-identifiable colors, and consistent application across piano and guitar.

The Four TPS Questions

Before choosing a voicing, answer these:

  1. What is the root or bass note underneath the sound?
  2. Which triad shape am I placing above that root?
  3. How should I space or register the triad?
  4. What PDC purpose does this serve?

Piano as the TPS Laboratory

Piano is the ideal TPS instrument because it makes the system visible. The left hand holds the root or shell; the right hand holds the color triad. You can see the bass/root, the upper triad, the interval relationship, and the voice leading simultaneously.

This visibility makes piano the clearest learning environment for TPS. When you understand how TPS works at the piano, the same principles transfer directly to the guitar.


The Four Triad Atoms

TPS begins with four shapes. Major and minor are the everyday workhorses. Diminished and augmented complete the vocabulary.

TriadFormulaC ExampleEmotional TendencyPriority
Major1 3 5C E GStable, bright, clearPrimary
Minor1 b3 5C Eb GDarker, warmer, emotionalPrimary
Diminished1 b3 b5C Eb GbTense, directionalSecondary
Augmented1 3 #5C E G#Dreamy, unresolvedSecondary

The Three Inversions

Each triad can be placed in three positions. Inversions are how TPS becomes voice leading rather than jumping from shape to shape.

InversionC Major ExampleMusical Function
Root positionC E GMost direct and stable
First inversionE G CSmooth, connected, less heavy
Second inversionG C EOpen, suspended; useful for top-note melody

The Placement Layer: Same Shape, New Meaning

A C major triad means one thing over C, another thing over A, another thing over F, another thing over D. Placement is the scale degree of the triad's root relative to the bass note. Change the placement, change the harmonic color.

The First Seven Placements

These seven are the core of TPS. Learn these before exploring further.

PlacementExample over CIntervalsSound CreatedBest Use
1 majorC/C1 3 5Plain major foundationClarity, grounding, simple support
3 minorEm/C3 5 7Cmaj7 compressionElegant major color, rootless thinking
5 majorG/C5 7 9Cmaj9 colorSafe sophistication without tension
5 minorGm/C5 b7 9C9 dominant colorBlues, swing, funk, gospel dominant support
b7 majorBb/Cb7 9 11C9sus / Mixolydian susSoulful dominant, funk, gospel, rock
2 majorD/C9 #11 13Lydian colorFloating, cinematic, modern, open
b3 majorEb/C#9 5 b7C7#9 blues biteGrit, blues tension, dominant bite

Do not rush through these. One placement studied for days is more valuable than seven placements skimmed in an hour. The goal is to internalize the color so completely that you choose it by musical need rather than formula recall.

How to Practice the First Seven

  1. Keep C as the root or drone (left hand)
  2. Play only one triad placement at a time (right hand)
  3. Say the placement aloud: "minor on 5," "major on 2"
  4. Name the intervals it creates
  5. Describe the emotional color in plain language
  6. Use it in a two-bar musical phrase
  7. Rest. Let the sound register emotionally.

Complete Major Triad Placement Reference Over C

DegreeTriadIntervalsColorEmotional QualityPriority
1C1 3 5Major foundationStableCore
b2Dbb9 11 b13Dark/alteredHeavy tensionAdvanced
2D9 #11 13LydianBright/openCore color
b3Eb#9 5 b7Dominant blues biteGrittyCore color
3E3 #5 7Maj7#5DreamyAdvanced
4F11 13 1Sus/addOpenSecondary
#4/b5F##11 b7 b9Altered clusterSharp tensionAdvanced
5G5 7 9Maj9ElegantCore
b6Abb13 1 #9Dark dominantMoodySecondary
6A13 b9 3Dominant 13b9Functional tensionAdvanced
b7Bbb7 9 11Dominant susSoulfulCore
7B7 #9 #11Strong Lydian/alteredVery tenseAdvanced

Complete Minor Triad Placement Reference Over C

DegreeTriadIntervalsColorEmotional QualityPriority
1Cm1 b3 5Minor foundationClear minorCore
b2Dbmb9 3 b13Altered dominantExotic tensionAdvanced
2Dm9 11 13Sus/Dorian/modalOpenSecondary
b3Ebm#9 #11/b5 b7Altered dominantGritty tensionSecondary
3Em3 5 7Maj7 compressionSmoothCore
4Fm11 b13 1Borrowed minor/plagalDark/gospelSecondary
#4/b5F#m#11 13 b9Lydian/altered tensionModern tensionAdvanced
5Gm5 b7 9Dominant 9Blues/swing/funkCore
b6Abmb13 7 #9Altered dominantHigh tensionAdvanced
6Am13 1 3Major 6WarmCore
b7Bbmb7 b9 11Phrygian/sus shadeDarkAdvanced
7Bm7 9 #11Lydian major colorShimmerCore color

Chord-Family Maps

In practice, you rarely need the entire reference table. You need the placements that serve the chord function in front of you.

Major Family (Root = C major)

GoalPlacementExampleEmotional Effect
Plain major1 majorC/CStable and clear
Maj73 minorEm/CElegant and resolved
Maj95 majorG/CPolished and open
Major 66 minorAm/CWarm and classic
Lydian2 majorD/CFloating and cinematic
Lydian shimmer7 minorBm/CHigh-color modern brightness

Dominant Family (Root = C7)

GoalPlacementExampleEmotional Effect
Dominant 95 minorGm/CBlues and swing color
Dominant susb7 majorBb/CSoulful, open, less final
Blues biteb3 majorEb/CGritty #9 sound
Open dominant 13sus2 minorDm/CModal/sus openness
Dark alteredb6 majorAb/CMoody dominant tension

Minor Family (Root = C minor)

GoalPlacementExampleEmotional Effect
Plain minor1 minorCm/CClear minor identity
Minor 7b3 majorEb/CStable minor 7
Minor 95 minorGm/CSmooth minor color
Minor 11b7 majorBb/COpen minor/sus sound
Dorian color2 minorDm/CModern modal minor
Borrowed darkness4 minorFm/CGospel/cinematic shade

PDC to TPS Matrix

PDC DiagnosesTPS OptionsWarning
Clarity1 major/minor; shells; guide tonesReduce color. State the harmony.
OpennessSpread triads; pedal + upper triad; 2 majorUse register and silence.
Blues bite5 minor; b7 major; b3 majorPhrase and resolve the rub.
Sophistication3 minor; 5 major; 2 major; 7 minorKeep rhythm simple.
Crowded textureOne triad high; shell only; silenceRemove before adding.
Calm1 major/minor; 6 minor; soft spread voicingLonger values, less movement.
Lift2 major; high spread triads; anticipationLift without rushing.
Tensionb3 major; b2 minor; altered colorsResolve intentionally.

The Spacing Layer: Register Matters

The same placement can sound plain, muddy, beautiful, intimate, cinematic, or harsh depending on spacing. Spacing is not decoration — it is part of the harmonic color.

On piano, this matters doubly because the low register has different acoustic properties than the high register. Below approximately middle C, closely-spaced intervals (minor seconds, minor thirds) create acoustic roughness due to overlapping overtones. This is not a stylistic preference — it is physics.

Spacing Operations

OperationWhat You DoEffectWhen to Use
ClosedKeep notes close togetherClear, compact, directLearning, tight comping, melodic fragments
Open/spreadMove one note up an octaveWide, beautiful, spaciousBallads, intros, solo playing, emotional support
High colorPlace triad above main textureShimmer without mudWhen bass/midrange are full
Pedal + upper triadHold root while triads moveAtmosphere, emotional suspensionAmbient, gospel, folk, modal, cinematic
Sparse fragmentsUse only 2 notesImplied color with less densityCrowded ensemble situations

Piano Mud Avoidance Rules

  • Low register (below C3): Use roots, 5ths, octaves, and open intervals only. Avoid closed triad clusters.
  • Middle register (C3–C5): Use shells and careful triads. Leave room for vocals and melody.
  • Upper register (above C5): Use color triads, spread triads, light answers, and shimmer effects.
  • Sustain pedal: Use lightly. TPS colors lose clarity when blurred too much.

Spread Triads

Spread triads are one of the first high-leverage beauty techniques in TPS. They require no new harmony — just giving familiar triads more air and register. A closed C major triad (C-E-G in root position) becomes open when the middle note (E) is dropped an octave or the top note (G) is raised an octave.

The sound changes dramatically. The same pitches produce a wider, warmer, more resonant result. This is the most efficient early investment in TPS beauty on piano.


Register and Harmonic Color

On piano, where you play a TPS color matters as much as which color you choose. The same triad placement sounds fundamentally different in different register zones.

Low register (below C3): Avoid placing TPS color triads here in ensemble contexts. The acoustic roughness of thirds and sixths becomes mud. The bass zone is for Blues Root, not color.

Mid register (C3–C5): This is the functional comping zone. Shells (3rd and 7th), simple triads, and careful inversions live here. This is also where the most conflict with vocalists and lead melodists occurs — be aware of register overlap.

Upper register (C5 and above): This is the color and shimmer zone. Spread triads, upper-structure placements, atmospheric pedal effects — these all work best in the upper register. The acoustic properties of this range allow closer intervals without mud.

Register choice is a PDC decision. When the texture is crowded in the mid register, moving TPS activity to the upper register is not just an aesthetic choice — it is a spatial decision about where your contribution fits.


Piano Execution Modes

ModeLeft HandRight HandUse
Root + triadSingle root or octaveClosed triadLearning colors clearly
Shell + triad3rd and 7th, or root + 7thUpper triadJazz/blues comping
Pedal + triadSustained/repeated rootMoving triadsAtmosphere and intros
Spread voicingRoot or shellOpen triadBeautiful accompaniment
Melodic TPSRoot/shell pulseBroken triad lineFills and solos

Piano SOP: Learning a New Placement

  1. Play root C in left hand
  2. Play the target triad in right hand closed position
  3. Name the placement and the intervals it creates
  4. Play all three inversions
  5. Open each inversion into a spread version
  6. Play it in a two-bar rhythmic phrase
  7. Break it into a melodic fill
  8. Record and evaluate with PDC

Piano Case Study: D/C (2 major)

Put C in the left hand. Play D–F#–A in the right hand. The right hand is a simple D major triad. But the full sound over C produces the 9th, #11, and 13th — a Lydian color: bright, floating, and modern.

Now invert D major: try F#–A–D, then A–D–F#. Notice how each inversion changes which note sits on top, and how the top note changes the character of the voicing. Then spread one of those inversions: move one note to another octave. Notice how the same formula becomes more spacious and beautiful.

This is TPS at work: one small movable shape, placed on a specific floor, produces consistent harmonic color across all inversions and spacings.


Voice Leading Between Colors

Voice leading is the skill of moving smoothly from one TPS color to the next. It is the natural next layer after the First Seven Placements are internalized.

Early TPS learning appropriately defers voice leading — it is not possible to attend to harmonic color and melodic voice-leading smoothness simultaneously at the start. But the risk of skipping voice leading altogether is real: voicings can become correct but melodically crude, with large leaps between placements that work harmonically but feel disconnected in motion.

The voice-leading principle: When moving from one TPS placement to the next, look for the inversion where the notes move the smallest distance. Each note in the outgoing triad should move to the nearest note of the incoming triad.

Practical approach:

  1. Voice-lead the shells first — 3rds and 7ths. These are the guide tones that define chord function and they create the smoothest motion in ii-V-I and blues progressions.
  2. Once shells move smoothly, add one TPS color above them. If the guide-tone motion is unclear, the TPS color will not feel grounded.
  3. Voice leading becomes natural through repetition. Practice moving between the most common pairs: Em/C to Gm/C, Gm/G7 to Bb/C, G/C to D/C.

Voice leading as a second-semester skill: Do not let it overwhelm early learning. Know it is coming. Build habits of smooth motion — avoid large leaps between voicings where small steps are available. The explicit training happens in Semester 2 of the AMF curriculum.


TPS in Musical Roles

Accompaniment Applications

ContextTPS Approach
Blues comping5 minor, b7 major, b3 major, simple triads; leave space between changes
Ballad supportSpread triads, 3 minor, 5 major, pedal colors; long decay
Funk/grooveShort triad stabs; b7 major or 5 minor; rhythm matters more than density
Singer-songwriterPlain triads, spread triads, gentle inversions; no unnecessary sophistication
Neo-soul/gospelSpread triads, sus colors, 2 major, borrowed minor shades; strong groove awareness

TPS for Fills and Solos

When using TPS melodically, do not think of the triad as a chord. Think of it as a small melodic territory: three notes that can be repeated, sequenced, inverted, rhythmically displaced, and resolved. The same placement map that generates harmony generates melody when played one note at a time.

Melodic MoveTPS ExampleEffect
Broken triadD–F#–A over CLydian line without scale running
Target top noteAim for B from Em/CMaj7 arrival
Leap and resolveJump within triad, step back to chord toneMore interesting contour
Motif repetitionRepeat same 3-note idea with new rhythmCreates identity
Question/answerTriad phrase, then simpler resolutionBlues/jazz conversation

TPS in a 12-Bar Blues

The dominant family placements are the primary TPS vocabulary for blues. The key practice rule: do not use every color in one chorus. Choose one color per chorus so your ear learns the difference.

Bar AreaCommon FunctionStarter TPSColor Expansion
I chordHome dominant color5 minor (9 sound)b3 major for #9 blues bite
IV chordLift away from home5 minor or b7 major over IV2 minor for sus/modal openness
V chordStrongest tension5 minor or b3 majorAltered/tension triads briefly
TurnaroundReturn pathShells and guide tones firstSmall upper triad answers

TPS in ii-V-I

FunctionExample in CBasic TPSColor Option
ii (Dm7)Dm7F major or Am fragmentsDm shape for modal openness
V (G7)G7Gm over G (5 b7 9), F major (b7 9 11)Bb/G for #9 5 b7 blues/altered bite
I (Cmaj7)Cmaj7Em (3 5 7), G major (5 7 9)D major for Lydian 9 #11 13

Voice-lead the shells first, then add one TPS color. If the guide-tone motion is unclear, the color will not feel grounded.


Chord-Symbol Decoder

Chord SymbolTraditional IdeaTPS Action over C
C major1 3 5C major
Cmaj71 3 5 7E minor (3 5 7)
Cmaj91 3 5 7 9G major (5 7 9) or Em + D
C61 3 5 6A minor (13 1 3)
Cmaj13#111 3 5 7 9 #11 13D major (9 #11 13)
C71 3 5 b7C major + Bb guide tone
C91 3 5 b7 9G minor (5 b7 9)
C9sus1 4 5 b7 9Bb major (b7 9 11)
C7#91 3 5 b7 #9Eb major (#9 5 b7)
Cm71 b3 5 b7Eb major (b3 5 b7)
Cm91 b3 5 b7 9G minor over minor context
Cm111 b3 5 b7 9 11Bb major or D minor

Genre Taste Rules

GenreTPS TendencyUse MoreUse Less
BluesDominant color and emotional rub5 minor, b7 major, b3 majorOverly clean Lydian color
JazzFunctional motion and color3 minor, 5 major/minor, 2 majorRandom upper structures without voice leading
FunkRhythm firstShort stabs, b7 major, 5 minorLong dense voicings that weaken pocket
GospelEmotional lift and suspended colorb7 major, 2 minor, spread triadsDry academic voicings
Folk/Singer-songwriterStory supportNative triads, inversions, spread triadsHeavy altered tension
Ambient/FilmTexture and atmospherePedal + upper triads, spread triadsBusy functional comping
Neo-soulColor with pocketSpread triads, sus colors, 2 majorColor without groove
RockEnergy and directnessNative triads, sus colorsOverly jazzy harmony

The Trad-to-Pitch Learning Path

TPS follows a specific pedagogical sequence: learn the simplest physical shapes first, then learn what they mean harmonically, then learn how placement creates color, then learn how spacing distributes that color in register.

Phase 1 — Shape: Four triad atoms. Major, minor, diminished, augmented. Three inversions each. Learn the shapes cleanly at 50–60 BPM before adding placement work.

Phase 2 — Placement (First Seven): Keep C as the root. Work through the First Seven placements, one at a time. One placement per day minimum. Do not rush.

Phase 3 — Color by family: Work through chord-family maps (major, dominant, minor) rather than the complete reference. Most music draws from a small subset of placements.

Phase 4 — Spacing: Take each learned placement and practice spread and open versions. Learn the register rules.

Phase 5 — Musical application: Apply placements over blues, ii-V-I, or simple progressions. Record and evaluate with PDC.

Phase 6 — Transposition: Once a placement is stable in C, move it to F, G, Bb, and Eb. Do not transpose everything simultaneously — work through keys in a controlled sequence. Definition of done for a key: you can play the First Seven placements slowly, name the interval colors, and use at least two in a simple groove.


Practice Protocols

15-Minute Daily Loop

TimeFocusAction
3 minShapeMajor/minor triads in one key, three inversions
3 minPlacementLH C root; RH First Seven placements
3 minSpacingTurn one placement into spread/open versions
3 minMusicUse one placement over slow blues/vamp
3 minVisualizeHear root + triad internally; imagine keys

7-Day Weekly Placement Cycle

DayFocusDefinition of Done
1ExposureUnderstand the placement and play it slowly
2Shape recallFind it without reference at 50–60 BPM
3Ear connectionDescribe the color and sing one note from it
4SpacingPlay closed and spread versions
5Musical contextUse it in a groove/backing track
6Melodic useBreak it into a fill or motif
7PDC reviewRecord, diagnose, decide if it enters review rotation

Ear Training SOP

  1. Play the root alone
  2. Sing the root
  3. Play the triad above it
  4. Sing each triad note as an interval against the root
  5. Describe the color in plain language
  6. Compare it to a nearby placement
  7. Use it in a short phrase and listen again

Recording Review SOP

  1. Record 30–60 seconds using one TPS placement
  2. Listen once for rhythm only
  3. Listen once for harmonic clarity
  4. Listen once for space and PDC usefulness
  5. Write one diagnosis
  6. Record a corrected take
  7. Keep only one next action

Extended Exercise Library

ExerciseInstruction
Root droneLH holds C; RH cycles Em, G, Gm, Bb, D
Shell anchorLH E–B for Cmaj7; RH cycles Em, G, D
Dominant shellLH E–Bb for C7; RH cycles Gm, Bb, Eb
Spread beautyTake one placement and make three open versions
Pedal atmosphereHold C; move C, Dm, F, G, Bb, D above it
Top-note melodyChoose inversion so melody note sits on top
Broken triad fillLH root; RH plays triad as 3-note phrase

Scenario Library

ScenarioPDC DiagnosisTPS Response
Slow blues feels emptyNeeds warmth without clutterSpread 5 minor or b7 major, leave space
Singer entersNeeds support and roomSmall high triads or stop playing
Band groove is strongDo not disturb foundationSparse color or silence
Harmony sounds muddyNeeds clarityReturn to shells or 1 major/minor
Chorus needs liftNeeds brightness/energy2 major in upper register
Solo section needs gritNeeds blues biteb3 major over dominant briefly
Ambient introNeeds atmospherePedal root with moving triads
Funk vampNeeds pocketShort b7 major or 5 minor stabs
Ballad endingNeeds beauty and spaceSpread triads and long decay
You feel lostNeeds simplificationReturn to root, shell, or silence

Definitions of Done and Progress Levels

LevelNameWhat You Can DoEvidence
0ExposureExplain TPS as shape + placement + spacing + purposeCan describe the formula in plain language
1Guided ExecutionPlay a spread triad placement with referenceCan find it while looking at notes
2RecallFind it without reference at slow tempoCan play minor-on-5 over a root from memory
3Musical UseUse it in a real loop or backing trackCan comp a blues chorus with sparse TPS choices
4Adaptive UseChoose or avoid it based on PDCCan decide not to use color because texture is crowded
5IntegrationCombine with rhythm, melody, feel, and genre tasteCan use rhythm cell, TPS color, and melodic fill coherently

Definition of Done per Fluency Level

FluencyMeaningMove Forward When
ConceptualYou understand the formulaYou can explain the placement in words
PhysicalYou can play it slowlyYou can play it cleanly at 50–60 BPM
VisualYou can find it on the instrumentYou do not need a diagram
AuralYou recognize the emotional colorYou can describe it after hearing it
MusicalYou can use it in a grooveIt survives time, rhythm, and context
AdaptiveYou can choose it by PDC needYou know when not to use it

A placement is ready for review rotation when it is stable enough to use slowly in context — not when it is impossible to make a mistake forever. Perfectionism freezes learning; review cycles create retention.

AMF Definition of Done Template (TPS Piano)

  • Technical: Can play the shape, placement, and spacing at 50–60 BPM without tension
  • Cognitive: Can name the placement, its intervals, and its color in plain language
  • Auditory: Can hear and describe the emotional color the placement produces
  • Visual: Can visualize the keyboard layout and find the shape without diagrams
  • Musical: Can use the placement in a groove or progression
  • PDC: Can identify when the placement serves the music and when it would clutter
  • Review: Can recall it after a spaced delay

Final Warning and Final Promise

TPS is powerful because it makes advanced colors simple. That does not mean every song needs advanced color. The most musical TPS choice is often a plain major triad, a shell voicing, or silence.

The complete reference tables in this manual are maps, not practice orders. The First Seven Placements plus the core major/minor shapes are enough to begin making real music. Start there. Return to the fuller maps as specific musical situations create genuine need for additional colors.

Shape. Placement. Spacing. Purpose. Learn the shape. Place the shape. Open the shape. Hear the color. Serve the music.