Frequency Charts
Perhaps surprisingly, there is considerably more variation to note/frequency assignment--continuing even today--than one may have initially imagined. See, for example http://www.uk-piano.org/history/pitch.html and http://hypertextbook.com/facts/2003/DanielleDaly.shtml. |
Slappy: Set up a graph where the differences between each whole number is one inch. The difference between 1 and 2 would be one inch and the difference is one hundred percent(2 doubling one). The difference between 10 and 11 would be ten percent but still one inch. From 100 to 101 would be one percent but still one inch. Semi-log graph paper puts the horizontal lines closer together the higher the lines are so the distances and percentages are logical both ways. The kid at the stationary store who did his/her math homework can find the semi-log graph paper for you. |
Fatparrot, 440Hz is an A4. Note that A5 has a frequency of 880Hz, thus it is one octive higher than an A4 since it has twice the frequency. You can see this on the log graph as you go up an octive the spacing of the frequency gets closer together because 1) twice the frequency, 2) shorter wavelengths, also the same notes octives apart will be equally spaced on the graph. FYI middle C which is C4 has an frequency of 261.63Hz. |
Ditto, log scales closer approx how we perceive sound. like the difference between "white" noise and "pink noise." White noise is more or less equal energy (noise) over the entire range of frequencies, from say 20hz-20khz. So if you were to think of it as visible light, the even balance would appear to look "white." Even though white noise is even from 20-20k, it sounds like it has more excess high frequency noise than low freq. This matches our perceived hearing. It's balanced, but it doesn't sure sound that way! However, pink noise has more energy down low. So if you were to think of it as visible light, it would appear to look the color pink (redish). But pink noise to most humans, appears to "sound" even balanced over your entire hearing range. That's sort of oversimplifying it, but you get the itea. Well, that's at least how I understand it. Some of comparisons only make sense when charted on a log scale. Freq response as perceived by humans is one of them. |
Music is best looked at in terms of musical notes, not frequencies. Since an octave translates to a doubling of frequency the deep bass octave of 20Hz to 40Hz has the same number of notes as the high treble octave of 10kHz to 20kHz. The log graph better correlates to how humans actually hear music. Simply put, there are more musical notes in the lower frequencies. |
That's just what log scales look like. The plots are variables which are exponents of a base of value ten. If you dump the base and exponents and just look at the value of the variables, the scale will be linear, e.g. (log)100 = 2, (log)1000 = 3. "Is there any logical reason that group it out the way they do other than to save space?" No, you are right - its to save space. |
