I was going to ask how about 3n+2 and 6n+5, but then I noticed that with triangle and square numbers, 3n+2 and 6n+5 would be just silence/offset because they have not 3n+2 or 6n+5 members. _(Because of the same reason, they have not 9n+2, 9n+5, and 9n+8 members, and actually, they also have not 9n+3 and 9n+6 members because all trieven members would be also noveneven (divisible with 9).)_
Except I need to correct my comment a little: Square numbers would not have 9n+3 and 9n+6 members because all trieven members are also noveneven. (3×3=9 et cetera) But triangle numbers do have both 9n+3 and 9n+6 members. (And 9n+9 members.) But both of those have no 9n+2, 9n+5, and 9n+8 members. Actually, I also noticed that cube numbers have only 9n+1, 9n+8, and 9n+9 members.
2:32 sawtooth
2:34 square
2:36 trisquare
2:38 double trisquare
2:40 sharp 3n+1
2:42 sharp 6n+1
Very interesting waveform videos! Looking forward to see more.. planning to do some sound tests of some sort as well?
Thanks. I'm planning for October, but it could be next year.
I was going to ask how about 3n+2 and 6n+5, but then I noticed that with triangle and square numbers, 3n+2 and 6n+5 would be just silence/offset because they have not 3n+2 or 6n+5 members. _(Because of the same reason, they have not 9n+2, 9n+5, and 9n+8 members, and actually, they also have not 9n+3 and 9n+6 members because all trieven members would be also noveneven (divisible with 9).)_
Except I need to correct my comment a little:
Square numbers would not have 9n+3 and 9n+6 members because all trieven members are also noveneven. (3×3=9 et cetera)
But triangle numbers do have both 9n+3 and 9n+6 members. (And 9n+9 members.)
But both of those have no 9n+2, 9n+5, and 9n+8 members.
Actually, I also noticed that cube numbers have only 9n+1, 9n+8, and 9n+9 members.