They just sell better when labeled "192 Khz ULTRAHIGH QUALITY !!! "question: why manufacturers produce sound cards to 192kHz ? who is using these samplerates rattle-mouse ?
48 khz, 24 bit, 32 bit summing
I guess most people here work for CD releases, so there's no point in using non-native sample rates, because you'll have to downsample it to 44,1 kHz anyway for the CD.
No, you're not correct. There's 44100 samples taken per second (steps) and the height depends on the bit depth, eg. 24-bit -> 2^24 = 16777216 steps for peak-to-peak values. In other words, it's extremely close to an analog sine wave with that precision. The amplitudes would be more like (starting from origo):
0000 0000 0000 0000 0000 0000
0000 0000 0000 0000 0000 0010
0000 0000 0000 0000 0000 0100
0000 0000 0000 0000 0000 0101
...
1111 1111 1111 1111 1111 1111
...
0000 0000 0000 0000 0000 0010
0000 0000 0000 0000 0000 0000
1000 0000 0000 0000 0000 0010
1000 0000 0000 0000 0000 0100
1000 0000 0000 0000 0000 0101
...
0111 1111 1111 1111 1111 1111
To get the rough idea. Those are binary values of course. In decimals it's something like 0, 0.000014, 0.000020, 0.000026, ..., 1, 0.999994, 0.999988, ..., 0, -0.000014, -0.000020, ..., -0.999988, -0.999994, -1
All the values are just some random rough numbers to display the idea. The actual values would be calculated with Fourier and difference equations with programs like MatLab.
1. A sine wave of frequency 22.05 khz has period 1/22050 = 4.54 x 10^-5 seconds
2. The spacing of the samples when recording at a sample rate of 44.1khz is 1/44100 = 2.27 x 10^-5 seconds
3. 4.54 x 10^-5 = 2 x 2.27 x 10^-5 Therefore 1 complete oscillation of a sine wave of frequency 22.05khz recorded at 44.1khz will consist of only 3 samples
i hope there's a mistake there somewhere, otherwise there are serious consequences for recording at 44.1khz IN THEORY
According to the Nyqvist-Shannon Theorem, that is enough.
But no human hears 22 kHz. Theoretically the ear can detect (barely) 20 kHz, while most people 12 years old and older will commonly only hear up to 16-18 kHz. In music, the "money shot" range is probably about 100 Hz - 10 kHz