🧠Memorizing Sucks.
As audio engineers, certain numerical values become often-used and thus can become useful to memorize. If you suck at memorizing stuff like me, graphs and charts can be helpful.

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🎛0—127.
In Ableton Live and other programs, range values are often scaled from 0 to 127, rather than 0 to 100. So it can be useful sometimes to know certain fractional values to type in (either mathematically perfect for extreme precision, or rounded values for quick input).

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⚖️Precise Midpoint (63.5) vs Rounded Midpoint (64).
The most common of these is 63.5, the value to input for the precise halfway point of a macro control in Ableton Live.

⚠️Note that Ableton Live only shows the rounded value in the display, and it always rounds all decimals down. (Why?!?) Often if you see a macro that says “63”, it’s actually set to 63.5. If only Ableton Live gave the option to display at least 1 decimal of macro values for this reason.

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🌓FRACTIONS TABLE
Here’s a nifty table of basic simple fractions down to 1/12, provided in precise (to the 5th decimal place) and rounded values for both the 0-100 (aka percentage) and the 0-127 scales.

Fraction	0—127 (rounded)	0—127 (precise)	0—100 (rounded)	0—100 (precise)
1/2	64	63.5	50	50
1/3	42	42.33333	33	33.33333
1/4	32	31.75	25	25
1/5	25	25.4	20	20
1/6	21	21.16667	17	16.66667
1/7	18	18.14286	14	14.28571
1/8	16	15.875	13	12.5
1/9	14	14.11111	11	11.11111
1/10	13	12.7	10	10
1/11	12	11.54545	9	9.09091
1/12	11	10.58333	8	8.33333

⚗️Takeaway / Distillation.
I wouldn’t expect anyone to memorize all of these, but recalling certain key values to pop in in at-whim can be useful. I personally always remember 31.75, 63.5,and 95.25 as precise quarter, half, and three-quarters for macro values — since I’ve had to input them so many times, whereas I tend to round one-eighth to 16 because I forget the exact value.

Peace!

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