Working With Formed By Transversals Answer Key
I've been using Formed by Transversals for about six years across three different college courses. The software itself is solid, but the answer key situation is something students always seem to get stuck on. Here's how it actually works in practice, not the way the manual describes it. Formed by Transversals doesn't come with a traditional answer key document you can download and cross-reference. The program generates its own verification system internally. When you complete an exercise, it tells you immediately whether your answer is correct or incorrect. That's it. There's no PDF floating around with all the solutions because the exercises are procedurally generated, meaning each session can produce slightly different problems depending on the parameters you set. I ran into this exact problem back in 2019 when a student insisted there was supposed to be a master answer sheet. They'd failed three assignments and assumed they were missing something obvious. The reality was they just didn't understand how the auto-grading worked inside the software. No workaround needed, just a conversation.
How to Verify Your Answers Without an External Key
The software gives you feedback after every response, but it doesn't always tell you why an answer is wrong. That's the main friction point. You see a red X and move on, but you haven't actually learned anything from it. Here's what I do. Before starting any assignment, I go into the settings panel and make sure "Show Explanation" is toggled on. This is hidden under Edit > Preferences > Feedback Options. When it's enabled, the software will display a brief theoretical justification after you get a question wrong. It's not perfect—some explanations are vague—but it's better than nothing. The default setting, incidentally, leaves this turned off, which is why a lot of people assume there's supposed to be an external answer key. For assignments where the software won't provide enough explanation, I pull up the corresponding chapter in the textbook. Formed by Transversals is designed to accompany standard theory curricula, so the exercises map directly to chapter content. If you're struggling with interval identification exercises, for example, the relevant section in Laitz or Kostka/Payne will walk through the same concepts with more thorough examples.
Common Problems and What to Do About Them
The most frequent issue I see is students hitting a wall with the chord identification module, particularly in intermediate and advanced levels. The software uses a specific Roman numeral analysis system that can differ from what their professor expects. At the advanced level, you might get a diminished seventh chord analyzed as a German augmented sixth in one context and simply as vii°7/V in another. Formed by Transversals picks one convention and sticks with it, but professors don't always align with that convention. I had a student last semester who kept getting "correct" marks on her assignments only to lose points on the written exam because the professor used a different analytic framework. The workaround was straightforward: have the student print out their completed exercises from Formed by Transversals and bring them to office hours to ask which Roman numeral system the course follows. Five minutes of clarification saved weeks of confusion. Another edge case that catches people off guard involves the rhythm dictation exercises. The software will accept answers that are rhythmically equivalent but notated differently. For instance, a dotted eighth followed by a sixteenth and a straight quarter note might both register as correct depending on how you input them, even though traditional notation prefers one over the other. If your professor is strict about notation conventions, this can cause issues on follow-up written work. I tell students to pay attention to how the software notates its own examples—that's usually the convention you should mirror.
Get the Full Details

What the Software Gets Wrong
Formed by Transversals is useful but far from infallible. The ear training component, especially at the upper-intermediate level, sometimes produces exercises that are ambiguously pitched due to MIDI synthesis limitations. A perfectly in-tune interval played through basic audio output can sound slightly off, which throws off students who are still developing their aural skills. This isn't a problem with the theory itself, but it's worth noting if you're using this as your primary ear training tool. The harmonic progression exercises also tend to favor Western tonal conventions almost exclusively. If your course covers non-functional harmony, spectral techniques, or 20th-century modal systems, you'll find that Formed by Transversals doesn't really support those contexts. I'd recommend supplementing with something like Ten Practice or working directly from the textbook examples instead of relying on the software for those topics.
Practical Workflow
If you're using this software for a course, here's the setup I've found most efficient. Open the program, navigate to the specific exercise type your assignment covers, and adjust the difficulty parameters to match the course level. Enable the explanation feature in preferences before you start. Work through the set, and for anything marked incorrect, read the explanation and also check your textbook's parallel section. Save or print your results at the end—the software has an export function under File > Print Report, which gives you a summary of all your answers. This is useful both for self-review and for showing your instructor that you put in the work, since some professors do require submission of completed exercise sets. The whole process for a typical 30-problem assignment runs about 20 to 30 minutes if you're working steadily. Allow extra time if you're hitting a lot of incorrect answers and need to go back through the material. The software does track your accuracy percentage over time, so if you notice a consistent weakness in a particular topic, that data is right there in the reports section. It's not glamorous, but it's functional.