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Suggested copy change for 19-Tet demo

"On a standard piano keyboard, one octave is divided into 7 whole tones: A, B, C, D, E, F and G"

Wouldn't you rather say "12 intervals separated into 7 white keys A-G, and 5 black keys...."?

Two issues with the 3D Vector Plotter

Feedback from a user:

  1. When I tried to create an expression for (v1 x v2) x v3, it gave me an error that there are too many operators.

  2. I did (v1 x v2) first and the resultant vector was shown. Then, I used show cross product (green) to show the resultant vector. Next, I created v3. When I checked "Add an Expression", the green vector disappeared.

Basically, I want to visualize (v1 x v2) x v3 step by step and compare with v1 x (v2 x v3)

Solutions to be investigated!

Your Orbit-simulator on academo.com

Hi Edward-

I'm a retired guy working on a project to bring an intuitive understanding of things to kids, long before they could (or even should) manage the underlying mathematics/physics (i.e. kids perhaps 8 to 12).

Your "orbit-simulator" fits great with the project, and I'm hoping you'd be willing to work with me a bit to build part of this project around it.

With the five initial parameters your program offers, it's wonderfully powerful. I suspect kids might be better off varying just the magnitude of the starting vector. My hope is with just that, and 5 minutes of play, they will discover the 3 types of paths a satellite can follow. My dream is that even if they end up studying dance they will have painlessly gained something of value...forever.

For kids who want more, one can go a step at a time, taking them on quite a journey.

Please let me know if you could help with this first step on a project I hope will soon be taken over by others (i.e. young people).

All the best,
Bill Kimberly

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