[QUOTE=its_golden_ponyboy]
okay, i’m not that good at math, but i almost got what you said. can you explain the diff between chromatic and diatonic in like 16 words to a moron who is tuning a guitar, and just hoping it sounds ‘good’?
**thanks for your help ** in advance, by the way…
I don’t think I can do it in 16 words, but I’ll try to make it short.
Take a string. Say it plays a C. Then make it half the length. It will still be a C, only an octave higher. Then make it a third of the length. It will play a major 5th interval (G instead of C). Then make it a fourth of the length. Another C, higher still. Then make it a fifth of the length. You get a major third (E instead of C). Do this long enough, and you get all the notes in a diatonic scale. You will have to halve some of them to make them the same octave. This is all based on ratios (1, 1/2, 1/3, 1/4, etc.). You’ll eventually get to sharps and flats, too. In fact, you will get a flatted seventh (the basis of a 7th chord) before you get to a real B.
If you tune to this scale, it will sound perfect playing a song in this scale. However, it will sound a little bit off if you are, say, playing in D or Bb or anything but C, because those ratios don’t guarantee that the notes are equally spaced.
The equally tempered, or chromatic scale, does guarantee that the notes are equally spaces. It is based on powers of 2. If C is, say, k vibrations per second, then D is k*2^(2/12) vibrations per second.
This is based on real numbers, not ratios. It’s not quite the same. The fact that you can tell the difference means that you have a really good ear. Most people don’t notice.
If you’re a beginning guitarist, you’re probably making chords with a lot of open strings at base positions. More advanced guitarists move their fingers up and down the fretboard to play in any key. If the guitar is tuned so that it will sound the best for a song played in C in base position, it might not sound so hot for a song played in F up the fingerboard. Or at least it will sound different.
When you tune your guitar using harmonics, you’re tuning to a particular diatonic scale. Xylophones, pianos, and the like are usually tuned to a chromatic scale. The frets on your guitar are chromatic as well. So it’s going to sound different depending on how you tune it.
The trick with a guitar is to find a reasonable compromise, according to which playing in any key sounds about the same. Becasue you can’t retune for every song you play.
Of course, you should also adjust your bridge so that a note played on the 12th fret is exactly one octave above a note played open. Most electric guitars have this ability, usually by shortening or lengthening individual strings. Most acoustic guitars don’t, but the sound of an acoustic guitar is more approximate (some would say richer) than the sound of an electric guitar, so most people won’t notice. The wood and the chamber sort of fuzz it up a bit.
Pianos have three (or two for the low notes) strings per key, and these are tuned to slightly different frequencies, which tend to blur out the differences between the chromatic and diatonic scales. Woodwinds and brass come in different tunings, plus you can bend the note a bit with your breath. Guitar players, like vibraphone players, just have to learn to live with it, although highly skilled guitar players can bend their notes, too.