what band each one describes, how much it leaves the filter, and what a minute weighs
Built as a memo rather than a table: the thing worth hanging it up for reads across the room, with the full reference in smaller type below it.
Three sizes in one archive — from a sheet on the fridge to a poster on the wall.
The Nyquist limit is half the sampling rate: everything below it is still resolved. AES5-2018 is the AES recommended practice; IEC 60908 is the compact disc.
Every rate on this sheet but one comes from two numbers: 44 100 and 48 000. Inside a family everything is simple — 88.2 is 44.1 doubled, 176.4 is it quadrupled, and the same holds for 96 and 192 in the family of 48. Converting within a family means dropping every second sample, or putting one between each pair.
Between the families there is no simple multiplier at all. 44 100 to 48 000 reduces to 147 : 160, and those are already the smallest whole numbers. To convert one into the other exactly, the rate has to be raised by a factor of 160 and then every 147th sample taken — which is why 44.1 ↔ 48 costs noticeably more than doubling in any program, and why it is the conversion on which a good resampler is told from a poor one.
32 kHz belongs to neither family: it is exactly two thirds of 48 000. Its Nyquist limit is 16 kHz, so it does not carry the top of hearing at all, and it stands in the standard as a transmission rate rather than a recording one.
Why the numbers can be trusted. Every countable number here is computed from data rather than typed in, and the sheet must pass 6 independent checks before it is allowed to build — how many items there are, the order they come in, and the claim in the highlighted box itself. If one fails, there is no file.
seven carriers over a century at one scale, and what each one brought first
two shapes, twelve chords each
eight instruments at one scale · what each is about and how it sounds
how many steps the level is cut into, what a bit adds, and why floating point is not the next row