I brought up a mathematics problem in another thread, not expecting solutions, but as a metaphor to the question – How much would all the synths from a manufacturer together cost ?
Nilsec offered a solution, i will leave it to you whether it is correct.
For this thread, if you solve the puzzle you can use “hide details”, so as to not spoil the fun for someone else coming along, looking to taking on the challenge.
Jokes by the anti-mathematics oriented sort is likely off-topic. Mathematical jokes are definitely welcome.
Do not feel intimidated this is for all levels. You may not have an answer, but some strenuous hand waving will fill in for that.
Lots of extra points if your puzzle relates to music. Musical mathematics is an interest for me too.
Notice the other numbers in my hint above. Look at the lowest two digits. Notice anything about those two digits ? And then do you see something specific about the direction those digits change ? You can follow the sequence further forward or back. Why do they do this ?
Notice the order they used to span the octave with three note combination. They cut it off at the second group with a different first note. This is a basic sort of ordering to span the complete set, but it is complete.
To be considered, and there isn’t a one answer to this challenge, what other ordering could be used to span this ? Do other orderings present musically interesting ordered subsets ? This can be related to change-ringing.
( Change-ringing is ordering the playing of multiple bells in a bell tower, so that the people pulling the ropes can actually perform all the combinations.
)
That is indeed the case. It cuts the resonant vibration. They are quieter. They try also to pick higher primes to increase the propulsive area, thus being able to have a slower rpm with the same propulsive force. Not thought too much about the uses of primes for musical vibrations, but there are probably things connected to this. ( Room dimensions and dampening ? )
unfortunately not consecutive ones.