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xenharmonic-devs / scale-workshop

Design and visualize microtonal scales and play them in your web browser. Export your scales for use with VST instruments. Convert Scala files to various tuning formats.
MIT License
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Analysis tab: Add "Abstract dyads" option under "Display intervals in matrix as" #617

Open inthar-raven opened 7 months ago

inthar-raven commented 7 months ago

Most useful for scales with 4 or fewer step sizes, this feature would get all the step sizes in a scale and display each table entry as a linear combination of the step sizes.

inthar-raven commented 7 months ago

For a scale of the form:

let x = 7/6
let y = 8/7
let z = 9/8
x; y; x; y; z;
stack()

the interval matrix with that setting would look like:

     |  1  |  2  |  3  |  4   |  (5)  | 
---------------------------------------
0    |  x  | x+y |2x+y |2x+2y |2x+2y+z|
x    |  y  | x+y |x+2y |x+2y+z|2x+2y+z|
x+y  |  x  | x+y |x+y+z|2x+y+z|2x+2y+z|
2x+y |  y  | y+z |x+y+z|x+2y+z|2x+2y+z|
2x+2y|  z  | x+z |x+y+z|2x+y+z|2x+2y+z|