standard deviations — the average across 96 randomised tutoring studies. Bloom's famous „two sigma“ came from two dissertations over three weeks. And: 1.1 of those two sigma came from feedback and re-testing, not from the tutoring itself. That is exactly what a tree can deliver.
Education Next →We are building the watch for practising.
A tree made of skills. Every node hangs on a small app that measures whether it holds. Nothing gets ticked off just because the lesson is over.

THE WATCHWhy one tree and many small apps — instead of one big one.
Runners wear a sports watch. The watch does not run for you. It measures, lines things up and tells you where you stand.
This is built the same way. The tree is the watch — it holds order, prerequisites and the goal. The mini-apps are the sensors — each measures exactly one thing.
The practising still happens on the instrument. No screen replaces fingers. What a screen can do: say straight away whether it was right.
THE TREETake a node and pull. The connections hold.
- Rhythm · circle
- Motor skills · square
- Ear · triangle
- Theory · hexagon
- Milestone
- Level 1, Motor skills: Posture & picking. Measured with Motorik Gym. Passed when: Two minutes of alternate picking at 60 BPM, every note equally loud.
- Level 1, Rhythm: Pulse & quarters. Measured with Metronome. Passed when: Clap along for four bars without drifting.
- Level 1, Ear: Higher or lower. Measured with Ear Training. Passed when: Ten out of twelve note pairs placed correctly.
- Level 1, Theory: Note names. Measured with HARMONIA. Passed when: Name every open string without counting.
- Level 2, Motor skills: Alternate picking 4/4. Measured with Motorik Gym. Passed when: 90 BPM, two minutes straight, evenly.
- Level 2, Rhythm: Eighths & shuffle. Measured with Rhythm Blocks. Passed when: Shuffle feel at 84 BPM over eight bars.
- Level 2, Ear: Hearing fifths. Measured with Ear Training. Passed when: Eight out of ten fifths recognised without an instrument.
- Level 2, Theory: First chords. Measured with Chord tool. Passed when: E, A and D ring cleanly, changes under two seconds.
- Level 3, Motor skills: Barre. Measured with Motorik Gym. Passed when: F barre, every note rings, held for four bars.
- Level 3, Rhythm: 16th feel. Measured with Rhythm Blocks. Passed when: 16ths at 70 BPM, cleanly subdivided.
- Level 3, Ear: Hearing changes. Measured with Ear Quest. Passed when: Pick out I–IV–V by ear, no sheet in front of you.
- Level 3, Theory: Circle of fifths. Measured with HARMONIA. Passed when: Name any key in under five seconds.
- Level 4, Rhythm: Free blues solo. Measured with Phrase Studio. Passed when: Twelve bars over a blues in A, without a template.
- Level 4, Motor skills: Playing along in a jam. Measured with Jam Station. Passed when: Play Autumn Leaves along, without stopping.
A level is not a year and not a grade. It is depth: level 3 means two layers of prerequisites sit underneath. Someone can be at level 4 in rhythm and level 1 in motor skills — the pillars are independent.
Shown here is the path for guitar. Every instrument gets its own tree, because it is not only the nodes that differ but the order: the guitarist starts with form, the pianist with the five-finger exercise, the drummer with the ear. What they share is the library underneath.
The tree as a printed book
A finished tree can be printed — a personal booklet for this one student, with their goal and their order. The mini-apps then sit next to it as training gear. Not every afternoon has to happen in front of a screen, and software does not replace a living teacher. It is not meant to.
TOOLSFifteen small programs. Each measures one thing.
Five run openly on this page — no sign-up, straight away. The rest run while teaching and are being finished for student access. What does not work yet is listed here too.
Metronome
Time signatures from 4/4 to 12/8, subdivisions, tap tempo, session counter. The blocks can be moved and hidden.
Rhythm tool
Hear a pattern, tap it back, see the deviation. This tool later becomes the criterion for the node „Eighths & shuffle“.
Rhythm Blocks
Laying out rhythm as building blocks instead of reading notation. For children the first way into subdivision.
Motorik Gym
Pitch detection through the microphone, a tempo ladder with your own best, exercises by level. The opponent is yesterday's you.
Fretboard
Positions, patterns and fingerings along the neck — to show in a lesson and to look up later.
Tuner
Tuning through the device microphone. Sounds trivial, but it is the first app every student actually needs daily.
Ear Training
Recognise intervals and chords, in levels, with an error log. The hits become the criterion of a node.
Ear Quest
Ear exercises as a small series of tasks instead of a test — same thing, different wrapping.
Jam Station
A backing band in the browser: walking bass, piano, drums. The student practises with a band, not against a click.
Chord tool
Grips, the notes inside them, inversions. Shows not only how, but what a chord is made of.
HARMONIA
Scales, degrees and the circle of fifths as one connected map instead of a cheat sheet.
Phrase Studio
A library of real licks with notation, tab, sound and a moving cursor. Plus: by whom, from which year, why it sounds like that.
Genre History
The series „The Tree“: one branch, one musician, one story. Facts, no song lyrics.
Note Strike
Sight-reading as a reaction game. The only thing here that really is a game — and it still measures something.
Pinboard
The cards a teacher hangs on a node: the task, a sentence about it, a deadline. The link between the lesson and the week.
No mock-ups and no polished renderings: these are the real parts, drawn with the same values they run on inside the app.

Lay out a pattern and hear it. What is missing: any evaluation of whether the student hit it — nobody counts that yet.

Grip with fingering, open and muted strings. Open in the tool on this site, attachable to a node in the app.

A pattern with the root notes highlighted. Still silent — tap and hear is still to come.

Shows chord tones on the keyboard. Meant for guitarists to understand harmony — for actual piano lessons the range is not enough yet.
The skill tree itself and Phrase Studio are teacher views and therefore not shown here — they contain real student data. What the tree should look like is above, hands on.

Every tool is a surface made of blocks you can move, hide and add back — there is no second view and no „pro mode“. Whoever needs more adds a block.
That is not a design gimmick: those same blocks are the measuring points of the tree. Whoever holds eight clean bars at 84 BPM in the metronome has passed the node „Eighths & shuffle“ — without anyone sitting next to them counting.
CARDS603 phrases. Each one belongs to a real musician.
A node says what has to hold. A card says what it sounds like when someone can do it. Every card carries a figure, notation and tab, the sound and a moving marker — plus the name of the person who plays it that way.
Why this matters
So that a student sounds like someone they know, not like a program. A figure you can attach to a name sticks. An anonymous exercise does not.
About rights, openly
We do not print other people's transcriptions. The cards are our own figures in the style of the musician, with the source named. Work details — composer, album, key, tempo — are facts and may stand.
RESEARCHWhat the studies actually say — even where it makes us look smaller.
Half the industry advertises „two standard deviations“. We do not, because the number does not hold. Here is what is established, what is exaggerated, and what follows from it for the tree. Every number with a source.
of the performance differences in music are explained by deliberate practice (meta-analysis, 2014). The biggest single lever a learning program can touch — and the proof that „10,000 hours and you are a pro“ is false. So we do not celebrate hours, we celebrate criteria that were met.
Psychological Science →is the optimal gap between two practice sessions if something should hold for half a year (Cepeda 2008). The consequence: a mastered node does not stay green forever. After three weeks untouched it fades and offers itself for a refresh — it is not locked.
Cepeda et al. →advantage in the field — not even significant for young learners (meta-analysis 2024, 54 studies). In the lab interleaving works strongly, in everyday practice barely. So: build new movements in blocks, interleave only when consolidating. And say out loud that interleaving feels worse and still works better.
Scientific Reports →Hedges' g for relatedness — by far the largest documented effect of gamification (35 interventions, 2,500 participants). On the feeling of competence it barely acts at all, 0.28. Translated: the playful part belongs where a human being is involved, not in a point score.
ETR&D 2024 →An expected material reward lowers intrinsic motivation — especially for activities that were already interesting (Deci, Koestner & Ryan). Music is exactly such an activity. What strengthens it: informative praise and feedback that proves ability. What undermines it: „do X, get Y“.
Overjustification effect →of fifteen-year-olds fall below the minimum level in mathematics. That is not a motivation problem but a prerequisite problem: things keep being built on foundations that do not hold. A tree with gates does not allow that.
Deutsches Schulportal →of students are at schools with a teacher shortage (2018: 57 %). That is why assessment has to become semi-automatic. A teacher cannot check thirty criteria a week one by one — an app that measures tempo, evenness and hits can do the groundwork. The judgement stays with the human being.
Deutsches Schulportal →„Streak creep“: users optimise the number instead of the thing, and those who break a streak quit altogether more often than average. That is why there is no daily streak with a threat of loss here — even though it would raise usage numbers in the short term.
The Decision Lab →What the tree does not solve. In Germany the gap between privileged and disadvantaged students is 111 PISA points and has not moved since 2012. It hangs on the language spoken at home, on quiet space to work, on money for an instrument and on the parents' time. A program can soften that, not remove it. Anyone promising otherwise is selling.
GIANTSThe idea of a prerequisite tree is sixty years old.
Anyone claiming to have invented the skill tree has not looked it up. The principle is old and well documented. What is new here is something else — and it is in the table below.
Robert Gagné
Learning hierarchies: a skill is taken apart backwards into its prerequisites. You do not teach the upper level before the lower one holds. That is the tree, on paper.
The Conditions of LearningBenjamin Bloom
Mastery learning: no moving on before a criterion is met. Those are the gates.
Learning for MasteryDoignon & Falmagne
Knowledge spaces: a mathematical theory of which sets of knowledge are reachable at all under given prerequisites. It became ALEKS, which has taught mathematics that way for decades.
Knowledge Spaces · ALEKSKhan Academy
The Knowledge Map — thousands of connected nodes shown to students. It was removed again. People still ask for it to come back.
Khan Academy Help CenterDuolingo
The best-known skill tree in the world — with levels per node and a strength that decays without practice. Replaced by a linear path in 2022: learners did not know whether they were doing it right.
Duolingo BlogWhat already existed — and what did not
| Tree | Levels per node | measures execution | teacher in the system | |
|---|---|---|---|---|
| Gagné 1965 | yes | no | no | yes |
| Bloom 1968 | no | yes | no | yes |
| ALEKS | yes | yes | no | no |
| Khan Academy | yes | yes | no | no |
| Duolingo | yes | yes | no | no |
| Fretster | yes | yes | yes | yes |
PLAYA fifth to a third should be play. The question is: which fifth.
It is the practising that should become playful, not the rewarding. The game elements sit in the shape of the exercise — not in a layer on top of it.
What we build
- The moving cursorA marker runs across the notation in tempo. Feedback, immediate and self-explanatory.
- The tempo ladder70 ✓ · 80 ✓ · 90 ← the rung lights up. The opponent is yesterday's you.
- The drift test„Four minutes without speeding up.“ Then a line: your tempo over time. Flat = passed.
- Refresh instead of decayA node fades after three weeks and is suggested again. A lock would be a punishment.
- The master as counterpartThe target piece names who wrote it and why. You practise towards a person, not against a machine.
What we deliberately do not build
- Points, coins, gems
- Purchasable cosmetics
- Leaderboards between students
- Daily streaks with a threat of loss
- Hearts and lives that limit practising
All five fall into the category „expected and material“ — precisely where the overjustification effect is strongest. They would raise the numbers and lower the interest.
FUTUREA project that shows only successes is a brochure.
Standing
- Website, booking and administration in daily use
- Five tools open, no sign-up
- Tree editor for the teacher, with cards on the nodes
- Phrase Studio with notation, tab and playback
Honestly broken
- Progress can only be set with a keyboard on a tabletwhich makes it practically unusable in a lesson
- Students cannot start the mini-apps themselves yetso far only the teacher opens them
- Three progress bars always show 100 %found during the last review
- The levels in the tree carry no visible labelthe tree above shows how it should look
Next
- Lesson mode: one screen for 45 minutes
- Separate cards for teacher and student
- Levels visible, on the phone too
- Refresh after three weeks
- After that: the same scaffolding for mathematicsthere, too, skill builds on skill

ROADMAPSeptember to May. Including what is not standing yet.
From September the program runs in real lessons. What comes out of that decides the next version — not a wish list.
Testing with real students
- The tree gets used in actual lessons, not demonstrated.
- Assignments reach the student through the mini-apps.
- One more thing gets measured: how much lesson time goes into working out what comes next.
Collect the data
- Find where students get stuck and which nodes never get opened.
- One number of our own instead of other people's studies.
- Ship a new version.
Clean up
- Bugs out.
- Whatever nobody used goes out.
- Close the gaps listed on this page under “Honestly broken”.
Live Jam
- Students play together over camera — everything points at this.
- Entry from a certain standard, so nobody sits in a session that runs them over.
- The values for ear and rhythm are visible, like on a player card.
Standing on its own
- Individual mini-apps stay free on this page.
- The whole thing becomes paid — otherwise it does not carry itself.
- Fretster Pocket: a small box with the software, to take along without a computer.
Where money comes in, it goes in this order: first running costs (server, database, licences), then the gaps listed above, then anything new. If something slips, it says so here — not in a press release.
PAVELOne person, one evening after another.

My name is Pavel Semenchuk and I teach guitar and bass in Munich. The tree came out of teaching, not out of a drawing board.
The reason was mundane: too often I did not know what came next for a student — and that is where most of the time goes. So I started taking skill apart, into pieces small enough that you can see whether they worked.
I build this alone, alongside teaching. That is why this page also says what is broken.
BUILD WITH USThe software does not carry itself yet.
Patreon
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Support on PatreonPayPal
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Bank transfer
Recipient Pavel Semenchuk, Revolut Bank · BIC REVODEB2. Reference: Fretster App.
Openly: behind this stands a sole proprietorship, not a registered charity. There is no donation receipt and support is not tax-deductible. What comes in goes into development.
Questions, criticism or an urge to help build: info@fretster.de · 0176 848 23 058