Two things here - 1. Transposing Intervals. 2. Inverting intervals.

Hi.

I am attempting to build a patch that is a Matrix (like the one Schoenberg invented), but only 'showing' one line of the matrix at time (P, R, I, or RI) in any transposition. The initial row is randomly generated. This doesn't play anything ar make any sound, it just displays the row (using Mira) on my iPad so I can read it, play and record (and do other various things) with a second patch that I am interfacing with my instrument.

Here is what I have so far: P and R, and subsets:

I have managed tho create a 12 tone row where I can randomize the notes with one touch. I can make it retrograde using ZL rev, and using ZL slice I can make subsets. For this I am using note letter names. But it might be better for the next step to use numbers and after the math, convert the numbers to letters, or attach/assign the letters to the numbers.

What I need to finish:

1. Trying to figure out how to transpose numbers (or pitches). For example, I can label the pitches 0 - 11 like in 12 tone music - 0 = C. If I transpose the whole thing up to D, I can +2 the original 0-11 and this will give me 2-13. But I need the numbers (notes) that go above 11 to wrap around. For example, in this scenario B (11) transposes up to C# (1) which means 11 goes to 1, not 13. I will need for this to work for all 12 pitches (or numbers) at once even if the numbers are unordered instead of sequential.

Any takers?

2. Much more difficult! I want to be able to invert the intervals. If I have for example a simple C, D, E, or 0 2 4 - how do I get that to out put the inversion, C Bb, Ab, or 0 10, 8? Or, more complex, C C# A (0, 1 9) inverts to C B Eb (0 11 3). Keeping in mind that I will be using all 12 notes, randomly ordered, and needing them to wrap around for transposition like no 1 above.

Any takers?!

Also, the patch that I posted is just my layman attempt at this. The whole thing can be trashed and rewritten using more refined solutions!

Thanks
Wil