Baraban & Logic
Logic
Baraban, ever wondered how a perfect rhythm can be derived from a simple logical sequence? I've got a little puzzle that mixes beats and numbers—think you can crack it?
Baraban
Sure thing, hit me with that puzzle—beats and numbers are my jam, just don't let it get too boring.
Logic
Here’s a quick one:
You have a drum that plays a pattern in a 7‑beat loop.
The beats are numbered 1 to 7.
You want to pick three beats so that:
1. The sum of the beat numbers is a prime.
2. The distance between any two chosen beats (in either direction) is at least 2 beats.
Which three beats could you choose? Give one possible set and explain why it satisfies both rules.
Baraban
Pick beats 1, 4, 6.
- Between any two of them the smallest distance around the circle is at least 2:
1‑4 is 3 beats, 1‑6 is 2 beats (wrap‑around gives 2), and 4‑6 is 2 beats.
- The sum is 1 + 4 + 6 = 11, and 11 is a prime number.
So that set satisfies both conditions.
Logic
Nice job! That set checks both boxes perfectly. If you’re curious, another valid trio is 2, 5, 7: the distances are 3, 2, and 2 beats, and 2 + 5 + 7 = 14, which is actually not prime—so that one fails the second rule. It’s a good exercise to test the prime condition after you nail the spacing. Keep exploring, it’s a great way to sharpen pattern recognition.
Baraban
Glad you’re digging it—keep pounding those beats, and keep spotting the primes. It’s all about feeling the groove while keeping the math tight. Any other patterns you want to test?