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Thursday, October 21, 2010

just calc: usage

here's how to derive the ratios from the scale calculator's geometry. sorry if i was unclear about it in person.

to get the ratio of the box you're clicking on, use this formula-
ratio = 1 + (box_number / total_boxes_in_row)

where "box_number" is how many boxes you moved to the right, starting with 0,
and "total_boxes_in_row" is the number of boxes in the horizontal row you've clicked on.

so using this, the top row would contain the ratios 1 (think 2/2) and 3/2 (think 2/2 + 1/2).

the next row down would contain the ratios 3/3, 4/3, and 5/3 . &c...

do you see why the first box will always give us unison (1/1) ?

also, every row with an even number of boxes will give us a ratio of 1.5 somewhere. for the top it's 3/2, for two rows down it's 6/4, four rows down it's 9/6, &c...

let me know if this isn't clear and you'd like it to be.

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