Picture a parlour in Vienna around 1790. A few friends gather at a table, someone rattles two dice, and a few minutes later a sixteen bar waltz is ready to play on the fortepiano. Nobody in the room has studied counterpoint. A pair of dice and a quill could stand in for a composer, and German music shops sold the printed tables.
Mozart’s name sits on the best known edition, yet no page in his handwriting has surfaced. Simrock, a Berlin publisher, issued the set in 1793, after Mozart had already died. Whoever wrote it, the idea feels strangely current. Chance doing the creative work is also the principle behind spinfin, where every digital draw is generated fresh and never remembers the previous result.
How the Dice Build a Waltz
The kit is simple. Mozart or whoever really wrote it composed a pool of short musical fragments, each exactly one bar long, and arranged them in numbered tables. Each turn begins with a toss of two dice, and their sum points to one numbered fragment in the printed grid. By the end the player owns a brand new melody, written down by hand. Eleven different results are possible on any throw. A total of 7 comes up six times in thirty six throws, a 2 only once, so some fragments dominate the output while others hardly ever appear again.
| Step | What the player does | What it produces |
| 1 | Throw the pair and total the faces | A sum between 2 and 12 |
| 2 | Match the dice total against the row inside that bar’s column of the printed lookup table | A fragment number |
| 3 | Copy the chosen bar onto the next blank staff | A completed measure |
| 4 | Repeat for every bar left in the opening strain | Sixteen bars of tune |
| 5 | A lone die decides each bar of the waltz’s second part | A calmer contrasting trio |
The sheer number of outcomes is staggering. Eleven options at nearly every step multiply into hundreds of trillions of possible waltzes, which is why no one could exhaust them by rolling day and night for a lifetime. The kit amounts to printed grids, a pair of cubes and a pencil, much as it did in a 1790s parlour.
Why the Game Still Matters
The game survived for two centuries because the craft hides inside the fragments. Whoever wrote the fragments settled every difficult musical question beforehand, leaving only a shake of the dice. So an eight year old with a sharpened pencil can hand over a page of music that looks entirely professional. The tables were auditioned on a keyboard beforehand, so no roll of the dice can produce a clashing bar. Whoever assembled these tables grasped that ears tolerate nearly any tune so long as the chord progression beneath it stays sensible.
Harmony Planned Into Every Bar
Every option in one column of the grid sits over an identical chord, which is why a random pick never derails the progression underneath. Bars sixteen and the trio’s ending get just two candidate fragments apiece, which guarantees a proper cadence, however the two dice land. Play it twice and the tunes differ, though both sound like they belong to one era. Repeated dotted rhythms tie neighbouring bars together, so a listener assumes a deliberate plan existed behind them when only dice made all the choices. Separate tables feed the trio, giving the finished waltz a gentler middle part that answers the opening one.
Where the Idea Leads Today
Composers did not forget the trick. The avant-garde American John Cage consulted coins and dice while writing mid century scores, and today’s generative music apps run on a cousin of that idea, with code doing the rolling. The approach turns up in several places.
- Classrooms use it to show how phrases and cadences hold a piece together.
- Board game designers shuffle tile stacks likewise, swapping one fixed map layout for endless variety.
- Experimental composers tossed coins over a score to keep their personal taste from steering every note.
An evening, some dice and printed tables are all it takes to repeat the experiment. Expect nothing on the level of Mozart. A kitchen table session proves that tight limits mixed with random picks can still produce a tune worth replaying on the piano.