The original paper [1] also contains some great graphs. And less hyperbole; these are the six basic plots of ~1400 English-language stories on Project Gutenberg, not of every story in the world, ever
Skimming the paper: it looks like they are performing sentiment analysis on books, effectively taking the Fourier transform of the sentiment-versus-time data, and reporting which Fourier component (up to 3rd harmonic) is strongest.
A self-organizing map (SOM) or self-organizing feature map (SOFM) is an unsupervised machine learning technique used to produce a low-dimensional (typically two-dimensional) representation of a higher dimensional data set while preserving the topological structure of the data.
More great "diagrams" from mathematician Jean Petitot applying René Thom's morphodynamic models to the study of the canonical formula of myths (Lévy-Strauss).
The reporting on this study is conflating sentiment with plot structure, which misrepresents the study.
See for example, Frankenstein. The sentiment rises slightly during the Creature’s narration to Victor of his circumstances - likely the narration of the French family he was “living”/stowing away with - but that’s certainly not a “rise” in the sense Oedipus rises to noble status. It’s hard to interpret Frankenstein as anything other than the protagonist’s consistent and tragic downfall (riches to rags in this analysis).
Not sure if that’s fundamentally a problem trying to extrapolate plot beats from sentiment alone, or a bit of less than accurate journalism.
If you condense every text passage into a one-dimensional sentiment score, then all texts are going to look like graphs of rising and falling sentiments to you. Nothing unexpected there.
I actually liked the charts, but I didn't see much evidence that there's anything universal at play here that isn't just an artifact of this methodology.
I think my preference is Northrop Frye’s analysis in “Anatomy of Criticism”, his categories of “mythic”, “romantic”, “high mimetic”, “low mimetic”, “ironic” are particularly useful for analyzing the history of literature from mythic legends and epic poetry up to modern literature and fantasy.
Although this analysis isn’t so much for general plot structure as much as for looking at characters and particularly the main protagonist and their relationship to other characters and the environment of the novel.
Joseph Campbell's The Hero With a Thousand Faces[0] posits the protagonist's journey from "the ordinary world", through numerous adventures and challenges, to eventual redemption or victory, as a universal story template.
If this article interested you then I'd highly recommend checking out TVTropes (https://tvtropes.org/) (trope roughly means any convention of fiction), if you've not already!
Vladimir Propp already analysed the basic structural elements of Russian folk tales, down to 31 elements, and drafter how these units formed classic Russian tales.
I always felt like we could mathematically define stories but I wasn’t sure how until I learned about Chaos Theory. There are some stories that seem to be very simple geometric, discrete shapes, but I think if you look at any story you’ll find a level of noise and chaos in there somewhere. The more a story approaches real life, the more chaotic it gets. I think Cassavetes is a great example of this.
Recently I’ve been thinking about narrative in terms of lossy compression, which can then be connected to our everyday perception, which uses compression to understand reality since we can’t ingest all the information we receive. Narratives differ in how much detail they delete, which then makes each narrative a compression algorithm. Movies with more detail like Cassavetes or the Italian Neorealists are usually considered “artsy” while movies with very little detail are considered “trashy.” This realization helped me talk about movies without prejudice.
I like David Lynch’s approach to storytelling, which mostly doesn’t follow these basic plots:
Accepted into the institute’s Center for Advanced Film Studies in 1970, Lynch studied with the Czechoslovak film maker Frank Daniel, whose course on film analysis shaped his writing and directing habits. “It’s a simple thing he taught me,” says Lynch. “If you want to make a feature film, you get ideas for 70 scenes. Put them on 3-by-5 cards. As soon as you have 70, you have a feature film.” Except that he now dictates to an assistant, Lynch still works this way.
There’s a lot to unpack in the word “scene”. Every scene itself is either a needed part of a story, or a story in and of itself, except that the meaning relies on the context of the whole work.
I don't remember if it was Rogue One or another of the SW franchise, but they actually backed their way into the plot but first picking scenes from other movies and then stitching them together.
I guess you need SVD to figure out that if you have two emotional trajectory states (rise or fall) that these can only toggle (since "rise, rise" is just a bigger "rise" and "fall, fall" is just a bigger "fall"). So you pick the initial emotional state and then toggle however many states are in the story. If you have at most three states then you get 2*3 trajectories.
1. rise
2. fall
3. rise, fall
4. fall, rise
5. rise, fall, rise
6. fall, rise, fall
Sorry, I don't find this particularly insightful. The insight would have been if certain sequence lengths were more important or excluded. Or other parameters about the states.
Dostoyevsky and Tolstoy are exemplary here. It's not whether the characters rise or fall, it's _how_. The plots of both Anna Karenina and "Crime and Punishment" seem pretty unoriginal, but my gosh, the journey while you read them is incredible.
You can shoehorn “all stories” into all sorts of frameworks. I personally find this really limits what stories can be and leads to decade after decade of lazy writing done by people who believed these commentators. Eg, heroes journey is actually a bunch of techniques, not just one, and some stories don’t even have characters at all
I think all stories will find themselves in these patterns, but it's important to let the story find the pattern rather than the other way around.
I doubt that the person who came up with the story of Icarus was attempting to do RISE, FALL explicitly.
Although, it's also important to be open to new paradigms. If you believe that there are only two stories: RISE and FALL, you can find yourself stretching metaphors to their breaking point to make stories fit in a box.
Yes, but... so what? We see this type of analysis often, but I never see where it gets used to help understand something new, or make anything more clear. How do stories written with each of those plots differ? Do they vary in popularity over time? Why only those six, why not Rise-Fall-Rise-Fall or Fall-Rise-Fall-Rise? Etc.
Yup, and these are certainly not "plots" by any definition of the word.
They're one aspect of story, along with a hundred others.
> Now....what to do with this highly-abstracted level of information...?
If you're a reader/watcher, nothing.
If you're a writer... ensure that it's clear. So much of writing is about showing your draft to a friend/teacher/etc., finding out that they didn't "get it" because what you wrote was confusing, and rewriting to make the thing clearer.
If somebody reads your script and they're like, well the protagonist clearly FELL but then the only KINDA ROSE but KINDA STAYED THERE and I don't get what the point is? Are you trying to say their efforts were worthwhile or futile? And then the writer is going to do much better if they change the story to become clearly either "FALL" or "FALL, RISE" -- instead of a muddy in-between.
Also: this pattern is fractal. Every scene is generally either a FALL or RISE for the main characters in it (if one character rises, the other falls). And then, depending on how you define them, each act is similarly a reversal (especially e.g. in a 5-act TV episode). This is what keeps story interesting. But over the course of all of these ups and downs, the author needs to decide what the biggest pattern is going to be.
> If somebody reads your script and they're like, well the protagonist clearly FELL but then the only KINDA ROSE but KINDA STAYED THERE and I don't get what the point is? Are you trying to say their efforts were worthwhile or futile? And then the writer is going to do much better if they change the story to become clearly either "FALL" or "FALL, RISE" -- instead of a muddy in-between.
Plenty of good stories have ambiguous endings. That’s actually one of the issues with this article - even when things are abstracted to the point of absurdity like they are here, it still doesn’t cover all stories.
But they still generally follow the pattern. Probably the most common "ambiguous" ending is where protagonist gets what the WANT (seems like a RISE) but not what they actually NEED (so it's actually a FALL). Or vice-versa, the don't get what they WANT (seems like a FALL), but they do get what they NEED (so actually a RISE).
So the "ambiguous" ending is not usually about not following RISE/FALL structure -- it's leaving you to argue about whether the RISE/FALL was good or bad. (E.g. he lost his Wall St job but gained a family, he conquered the mountain but his best friends died along the way.)
Craig Mazin and John August have often argued on Scriptnotes[1] that this type of structural perspective can be useful for analysis, but not when writing. For example, you can often think of a movie as having three acts, but knowing that doesn’t help you write the movie. It’s more a symptom of good writing than a recipe.
One of the first things you usually do as part of planning a season of a dramatic TV show is to figure out the arc of each character, up or down. You can't get anywhere unless you know where you're going. And then yes, it's similarly an extremely conscious part of the writing process at the episode level, act level, and scene level. It's very much "recipe" in that sense -- but that's not to take away from any of the creativity. It's just the basic structure for creativity, the frame.
Now, of course, it's recipe because of lots of trial and error in writing stories and seeing what stories worked and which didn't. If you're writing something shorter like a movie, you may very well implement the pattern on your own through intuition. But you also may very well not, and the script will have problems, and rewriting will be a lot more successful if you're aware of structure and not just relying on intuition.
But then you have books of rules like "Save the Cat!" that identify a lot of beats that you do usually find in screenplays. Maybe not all the ones are in every script, but it's uncanny how the midpoint is almost always as described to where you can pause it when you feel the beat and you're halfway through the film.
It's a fractal. You don't have complete freedom across the entire space of "stories" to just pick one; most such randomly selected stories would be just random things that happen for no in-story reason, then the putative story simply ends. A top-level RISE/FALL/RISE structure can add interest to the story. But then within that there is a fractal of other options, because if that's literally all your story has, once again it's not really that interesting. You can keep descending down gather up more and more detail.
Sometimes someone discovers a little undiscovered tributary, or does a really good job with something like Memento.
On the one hand, there is order to the space more than just "things happen, then they stop". On the other hand, like a good fractal, you really can't classify the whole space of stories with metaphorical rectangles on the diagram. No matter what rectangle you draw around romance, you're going to get every other genre mixed in at least a little bit, and so on for all the other things you can try to draw.
As one gets more experienced with stories, one's interest tends to "zoom in". A kid may be satisfied with a simple hero story. As you get older, the hero story itself may be of little interest, but you are more interested in the fractal bits within it; the quality of the characterization, twists, plays on expectation. Later you may find interest in underlying philosophical themes and so on. Or, you can miss these finer details and become exhausted with stories believing you've seen them all, which despite how it may sound like I'm characterizing it here, isn't necessarily the worst thing ever. There's all sorts of things in the world and you can't become master connoisseurs of them all.
You can make a really boring series of events interesting, but without a payoff it doesn’t feel like it’s worth it.
Example:
I woke up this morning really really early… I checked my charging Apple Watch and noticed it was 2:15. I got up and noticed how quiet it was… like incredibly quiet. I put on my shoes and walked toward the stairs, and it was eerie how little sound there was.
When I got to the bottom of the stairs, it was still even quieter.
—-
This is literally what happened this morning, but the mention of “quiet” puts a question in your head: why is the author mentioning how quiet it is!? Isn’t it always quiet at 2am??
That will get you to invest in the story and there’s no conflict. But then if the ending was “yeah it’s just always quiet” you wouldn’t have learned anything new, and there’s no reason to share / recommend / reread the story.
Basically this is why JJ abrahms movies are fun to watch until they’re over.
Your episode does have an implicit conflict, though, and it's precisely the one you're saying: you have set up an implicit conflict between your auditory perception and expectation.
(Actually, there's another implicit conflict in there which I would argue is perhaps even more important: why did you wake up so early, and why did you choose to go down the stairs instead of back to sleep?)
If you carried on this story though, without any conflict (note: I agree with sibling comment that there is actually implicit conflict between actual vs expectations), wouldn’t it be incredibly boring or lead to a “so why are you retelling this?” response?
Another way to explain it is that popular stories are a chain of buildups and payoffs for the reader. The core of it is that unlikeable characters get misfortune and likeable characters get fortune.
Amateur authors and stories based on real life events can break the mold. I think that's why both can be quite popular.
Every story? Now there's a false title. _Project Lawful_ for example has a sufficiently complex plot with enough opposed character perspectives that you'd have to really work to hammer it into this pigeonhole. Maybe one particular character arc could be said to have this structure.
More generally, any story that changes between character perspectives and evolves in who holds narrative force will have a hard time being analyzed this way.
1: https://arxiv.org/pdf/1606.07772.pdf