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MagKnightX
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Posted: 12/28/2007 3:57:56 AM
I was actually looking some stuff up because I was interested, so I figure I'll share it with you guys:

By now you're probably familiar with the chromatic scale - A A# B C C# D D# E F F# G G# (of course, you could also write it with flats instead of sharps, but whatever). This is called twelve-tone equal temperament (not to be confused with twelve-tone music, which is totally different), because it divides an octave into twelve equal intervals. This is what western music is based on. Why? I don't know. People a lot better qualified than me decided on that.

But twelve-tone equal temperament is not the only system out there. Another way of doing things is, say, 24-tone equal temperament, though you'll also hear of 22-tone, 31-tone, even 88-tone.

An octave, as seen earlier in this thread, is the doubling of the frequency of a sound. Standard-pitch A, for example, 440Hz, would have its octave at 880Hz. The ratio between tones in any even-tempered tuning is a constant. As in, the frequency of A# divided by the frequency of A in 12-TET is the same as the frequency of B divided by A# and of C divided by B and so on. It turns out that in any N-tone even-tempered tuning, this ratio is the Nth root of 2 (that is, the number X such that X to the N is 2). In 12-TET this is about 1.059. In 24-TET this is about 1.029, which also happens to be the square root of the 12-TET ratio.

Back to notes. In 12-TET, as we said, there are 12 steps from root to octave. These 12 steps are called semitones. Various numbers of semitones up give intervals, like we discussed earlier - seven semitones up is a perfect fifth, four semitones up is a major third. You may recognize these, as well - a root, a major third, and a perfect fifth make up a major chord. Throw in a major seventh (11 semitones up from root, 1 semitone below octave) and you get a major seventh chord.

However, in other scales, you get even more intervals. In 24-TET, instead of being divided into 12 semitones, the octave is divided into 24 quarter tones. Two quarter tones are equal to a semitone. So you still can have a major third, eight quarter tones up from root, and a perfect fifth, 14 quarter tones up, but how about a neutral third, seven quarter tones up? Neutral seconds and sevenths are also possible, as are other sounds.

Most instruments these days won't do quarter-tones. Fretless strings, trombones, programmable keyboards, sure, but not your regular guitar, not without a new fingerboard. So, what's the use? Well, there is a major genre of music that uses quarter-tones (actually, microtones, but quarter-tones are the best approximation), as well as a rather odd interval system for scales. Tomorrow, if I remember, I'll talk about Arabic music, quarter-tones, and their ajnas/maqabat scales.
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Beefypeanut
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Posted: 12/29/2007 5:28:04 PM
This is great stuff, thank you for posting it!
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Posted: 1/1/2008 10:34:57 PM

Originally Posted By Hemi-Cuda:

Originally Posted By Gone_Shootin:

Okay, my next question, can you use the scale for any given note in the chord that you're playing over. For example an open G has (from low to high) G-B-D-G-B-G in it. Can a player also use B & D scales as well in this situation? I guess the B & D would be called the harmony notes, right?


Well you want to follow the scale of the root note only. Any G chord will have a root note of a G.


I knew that I got that idea from somewhere. I was re-watching the video of the Dear Giutar Hero column with Leslie West of Mountian in the Guitar World Holiday 2007 CD ROM. So anyway, question 4 dealt with the song "Theme From An Imaginary Western" & in the answer he went into some detail about when He was recording the solo. The song was writen in A & so He started to play a solo in A. It was either the producer or the songwriter (I'm not sure which) told Leslie that every key has a Relative Minor which in that case was F# Minor. So, that's how that solo was played, in F# Minor.

I Googled & came up with this Wikipedia article:

http://en.wikipedia.org/wiki/Relative_key
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Posted: 1/4/2008 11:12:07 AM
[Last Edit: 1/4/2008 11:16:13 AM by swj0001]
How about major scales and their modes?

A major scale (do-re-mi, etc.) can be figured out in several ways.

First, by the interval pattern, or the pattern of half-steps (1/2) and whole (w) steps between the notes:

C---D---E----F---G---A---B---C
--W--W--1/2--W---W--W--1/2

Using that pattern, you can build a major scale off of any note.

F - G - A - Bb - C - D - E - F
B - C# - D# - E - F# - G# - A# - B
Eb - F - G - Ab - Bb - C - D - Eb


Second, if you know the key signature, you can build a scale by adding sharps or flats to the correct notes.

Key of C - no sharps, no flats,
Key of F - 1 flat - Bb
Key of Bb - 2 flats - Bb, Eb
Key of Eb - 3 flats - Bb, Eb, Ab
Key of Ab - 4 flats - Bb, Eb, Ab, Db
Key of Db - 5 flats - Bb, Eb, Ab, Db, Gb *or* Key of C# - 7 sharps - F#, C#, G#, D#, A#, E#, B#
Key of Gb - 6 flats - Bb, Eb, Ab, Db, Gb, Cb *or* Key of F# - 6 sharps - F#, C#, G#, D#, A#, E#
Key of Cb - 7 Flats - Bb, Eb, Ab, Db, Gb, Cb, Fb *or* Key of B - 5 sharps - F#, C#, G#, D#, A#
Key of E - 4 sharps - F#, C#, G#, D#
Key of A - 3 sharps - F#, C#, G#
Key of D - 2 shaprs - F#, C#
Key of G - 1 sharp - F#

These are presented in the order of the circle of 4ths - lots of very cool patterns here. For example, notice how as we go up in 4ths, we simply add a flat to the key signature. And once we get to the 'sharp' side, we simple take away sharps. See of you can find some more patterns here.


I'll post more on the modes later.








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Posted: 1/7/2008 8:47:11 AM

Originally Posted By Gone_Shootin:

Originally Posted By Hemi-Cuda:

Originally Posted By Gone_Shootin:

Okay, my next question, can you use the scale for any given note in the chord that you're playing over. For example an open G has (from low to high) G-B-D-G-B-G in it. Can a player also use B & D scales as well in this situation? I guess the B & D would be called the harmony notes, right?


Well you want to follow the scale of the root note only. Any G chord will have a root note of a G.


I knew that I got that idea from somewhere. I was re-watching the video of the Dear Giutar Hero column with Leslie West of Mountian in the Guitar World Holiday 2007 CD ROM. So anyway, question 4 dealt with the song "Theme From An Imaginary Western" & in the answer he went into some detail about when He was recording the solo. The song was writen in A & so He started to play a solo in A. It was either the producer or the songwriter (I'm not sure which) told Leslie that every key has a Relative Minor which in that case was F# Minor. So, that's how that solo was played, in F# Minor.

I Googled & came up with this Wikipedia article:

http://en.wikipedia.org/wiki/Relative_key



F# minor and A major are essentially the same scale, just different starting notes.
The relative minor of every scale is the same eight notes as the major scale, but starting on the note a minor third below. So, take C major for instance. If you begin on the note a minor third below C, which is A, and play the notes of a C major scale you are playing an A minor scale. D minor is, of course, the saddest key of all.

Really for most rock-n-roll guitar solo type stuff that most here seem to be talking about you are going to sound better to yourself playing more of a pentatonic scale, or "blues" scale. As the name suggests, a pentatonic scale has five notes. The tonic, the flat third, the fourth, the fifth, and the dominant seventh. In the key of C, these would be C, E flat, F, G, and B flat. Then you can add in "blue" notes, like F#/Gflat.

I'm a keyboard player, so I may have a different perspective to put on some of this.
I've had many, many years of music theory.

This is a cool thread. I would've loved to have had something like this back in my high school rock band days,


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Posted: 2/4/2008 7:34:32 PM

Originally Posted By mattimeo:

Originally Posted By Hemi-Cuda:

Originally Posted By MagKnightX:
Tag. I learned a bit of the basics from my friend and have been self-teaching a little bit.

Do they make a "music theory for dummys" book?


They probably do, but I'm not familiar with it. I self taught myself on theory. I'm sure we'd be able to help you out in this thread more than a book will.


They actually do, and it's not a half-bad book. (I have a copy.) The included CD is pretty well setup to give you an idea of what the author is talking about in each chapter. It would definitely help to have someone to bounce questions off of for some of the material, but it really shines as refresher to someone who hasn't touched theory in years. I'd recommend it to anyone in combination with this thread, honestly.



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BigD55
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Posted: 2/8/2008 3:50:03 PM
[Last Edit: 2/8/2008 3:52:15 PM by BigD55]
check this page out for all scales www.all-guitar-chords.com they have scales too. you tube has a lot of music to learn from too.
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Posted: 5/4/2008 8:55:08 PM

Originally Posted By dog-meat:
Here is where the roman numerals come from.


Take a C scale, the white notes on a piano keyboard



1-2-3-4-5-6-7
C-D-E-F-G-A-B


A chord is basically the root (1) 3rd and 5th of the scale

C-D-E-F-G-A-B

Now, make a grid using the C scale notes like this:


7 B-C-D-E-F-G-A
6 A-B-C-D-E-F-G
5 G-A-B-C-D-E-F
4 F-G-A-B-C-D-E
3 E-F-G-A-B-C-D
2 D-E-F-G-A-B-C
1 C-D-E-F-G-A-B
1 2 3 4 5 6 7

and going from bottom to top, you get seven different scales, all built from the notes of the C scale.

If go go through each of those scales, and pick out the 1, 3, and 5. You get the different chords that he's calling the I V IV, root dominant, subdominant, etc. of the key of C.

7 B-C-D-E-F-G-A
6 A-B-C-D-E-F-G
5 G-A-B-C-D-E-F
4 F-G-A-B-C-D-E
3 E-F-G-A-B-C-D
2 D-E-F-G-A-B-C
1 C-D-E-F-G-A-B
1 2 3 4 5 6 7


1=C-E-G
2=D-F-A
3=E-G-B
4=F-A-C
5=G-B-D
6=A-C-E
7=B-D-F


It is also worth noting (bad pun) that the I, IV and V chords are the only major chords you can play in that key without using accidentals. Accidentals are additional sharps and flats not included in the key signature.

The II, III and VI chords are all minor chords.
The VII chord is diminished.
cmjohnson
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Posted: 5/4/2008 9:33:24 PM
Here's an interesting concept: To play quarter tone music, just have two guitar players tune their instruments a quarter tone apart, and play their own parts as required.

Has it been done?

Or, for one player, a double neck guitar, each a six string, tuned a quarter tone apart. But he'd have to be mad fast in switching between necks!


A custom fingerboard could be cut by any shop that uses computer-generated fingerboard
scales and /or CNC slotting. It would be an extension of the standard scale lengths, but with the nut end being the start of the cut sequence for the 12th slot. (Technically, the 12th
slot would be the cut-thru, defining the nut position.)

CJ
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MagKnightX
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Posted: 5/4/2008 9:50:49 PM

Originally Posted By cmjohnson:
Here's an interesting concept: To play quarter tone music, just have two guitar players tune their instruments a quarter tone apart, and play their own parts as required.

Has it been done?

Or, for one player, a double neck guitar, each a six string, tuned a quarter tone apart. But he'd have to be mad fast in switching between necks!


A custom fingerboard could be cut by any shop that uses computer-generated fingerboard
scales and /or CNC slotting. It would be an extension of the standard scale lengths, but with the nut end being the start of the cut sequence for the 12th slot. (Technically, the 12th
slot would be the cut-thru, defining the nut position.)

CJ


Actually, the current way semitone fret positions are calculated is position of a fret is (s being total scale length, x being fret distance, n is fret number) x = s - (s/(2^(n/12))) (IIRC). This is because the ratios are based on the 12th root of 2. If you replace that with the 24th root of 2, for x = s - (s/(2^(n/24))), you can get quarter-tone frets without having to transpose the scale. But I think it'd work out around the same.

You could also have doubled strings, one toned a quarter-tone apart.
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Posted: 5/19/2008 3:13:33 PM

Originally Posted By Quintin:
Good thread.

I remember how to read "normal" sheet music, from my band days back in middle and high school, but guitar stuff is like trying to decipher Egyptian hieroglyphics. I've been picking up Guitar World mags and the way the sheet music is written in the back of the book is totally alien to me, but I'm sure it's second hand to a guitarist. Wanna break it down for me?


It's called "tablature" - and it doesn;t give you the timing of the notes, just the string and fret, (and technique) to play them. There should be a tab key somewhere in the magazine...
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Posted: 5/23/2008 7:08:13 PM
For you guys that are trying to understand how the I, IV, and V chords work together, try a few progressions on your guitar or piano;

First play a I-IV-V-I progression, or C-F-G-C; hear how the G chord "resolves" into the C? Play just the C-F-G; that sounds unfinished, correct? Go ahead and resolve the progression by playing a C chord now, just so you won't get crazy.

Now try the same thing with a little change; play C-F-G7-C; hear the even stronger need of the G7 chord to be resolved?

Now play this progression; C-F-G-D-D7-A; you're in a new key, although not where you'll end up with the usual "circle of fifths progression".

Play around with different progressions relating the I,IV, & V chords in different keys, and then try the same thing with some simple minor progressions, starting with something like C-F-G-G7-D-C-Aminor. The last change is not a strong resolution, and that is part of the point, to show how C and Aminor are related and can be used for transitions. Play around with Aminor-Fminor-Gminor combinations. Follow with Aminor-F-G, and you'll find yourself in the key of G at that point, if you want to continue the progression, or you're not far from being solidly back into the key of C.

Don't get stuck on the C-F-G progression, that's just an example, mix them up, throw some D and A's in there and leave one out.

The important part is to listen to the changes of the sequences, and how they work together.

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Posted: 5/25/2008 1:19:44 PM
Hemi, are you tuning to standard E? I've always downtuned to B, but I'm pretty sure all the same theories apply. All my scales seem to work.
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Posted: 10/8/2008 8:54:20 PM
Interestingly, before Bach’s time, there weren’t many keys used. His, “The Well-Tempered Clavier” is a collection of solo keyboard music, preludes and fugues, in all 24 major and minor keys, composed "for the profit and use of musical youth desirous of learning, and especially for the pastime of those already skilled in this study". Classical music and jazz was, and is, written in all keys.

I can remember sitting in the pit band for “Three Penny Opera” in college. The music should have been written in the key of E (4 sharps), but the composer wrote it in C and just wrote in all the accidentals. No idea why……..

I’ve played classical music in all kinds of keys. Sometimes it seems like the composer screws around with the key signature just for the fun of it.

Most of the jazz I’ve come across is in Bb, C, Db, D, Eb, F, Gb, G and Ab. If you can’t improvise in all those keys, you’re gonna look like a total doofus sooner or later. Also, you have to know the changes for all the standards in every key, since you never know what the leader is going to call. I used to play jam sessions with a guy who liked to call standard jazz pieces in weird keys. Trying to play an up-tempo piece in the key of B Natural is no fun.

Now, popular music seems to be back to pre-Bach conditions. Few keys and simple, repetitive chords. There’s a good reason for that. If anybody’s interested, I’ll explain.
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Posted: 10/8/2008 10:43:50 PM
Sure, go ahead and explain.
Japle
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Posted: 10/9/2008 8:34:06 AM
Three reasons (quick and dirty version):

1. People used to be able to go to clubs and concerts cheap. There was lots of public transportation – trolleys – available. Frequent outdoor concerts in public park band shells. Good music available for pocket change.
Then, the oil and automobile companies bought the trolley companies, scrapped the trolleys and tore up the tracks. No more cheap transportation? Gotta buy a car. Gotta put gas in the car. Huge profits for the oil and auto companies.

2. A few large broadcasting companies started buying up the small, local stations. While the small stations had been playing a mix of music – classical, big band, country, jazz – the big corps gradually switched to the “top 40” format. Just play the most popular stuff. Don’t make the music too technical. Stick to “lowest common denominator” music.

3. The record companies noticed that it was cheaper to hire and record a guitar player who thought he could sing, a bass player and a drummer than a big band or an orchestra. (DUH!!) They pushed their new stars into top-40 status through a process known as “Payola”. They paid the DJs or gave them drugs so the right songs would get played.

After a while, kids growing up almost never heard anything except what the top-40 stations played. There was nothing else on the radio. If you don’t hear anything except 3 chords and a loud beat, you think that’s good music. If you never hear a modulation or dynamics or a 9th chord, you don’t miss it.

Sorry to blather on like this. I’m just a 62 year old guy with 2 degrees in music and an ax to grind. I never listen to “pop” music if I can help it. I don’t listen to the radio. Hell, the radio antenna in my car isn’t even connected!
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Posted: 10/29/2008 7:45:06 PM

Some of my upper-level physics students (in high school) call music theory their "hard class".
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mattja
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Posted: 2/18/2009 3:02:41 AM
Originally Posted By KS_Physicist:

Some of my upper-level physics students (in high school) call music theory their "hard class".


That's because it's difficult to grasp, especially when you study it at the university level. It's very abstract.

There's a reason why all the gifted kids are/were in the high school band.

I've always been a music geek. My undergrad degree is in music theory, although my profession for more than 20 years now has been software engineer.

I guess that makes me an ubergeek.
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MTC
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Posted: 5/10/2009 9:22:27 PM
[Last Edit: 5/11/2009 12:48:17 AM by MTC]
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Posted: 6/15/2009 10:23:35 AM
Originally Posted By Hemi-Cuda:
Originally Posted By Gone_Shootin:
I know the open E & G chords. I also know the minor pentatonic & blues scales. I'm trying to learn this mini poster that came in whatever issue of Guitar World that had Trivium in it back before Dime got shot & Matt Heafy was still playing Les Paul Customs. I'm still working on the open chords in phase 1.

I guess my biggest problem is knowing what scales to play over a given chord. Do you just play the scale with the same name as the chord? I've also heard something about playing the scale that is the major this or the minor that, but I don't understand that either.


You can play any scale, as long as its in the same tonal scale as the rhythm.

If you're playing a C chord, then you want to play a C major scale pentatonic lick. So and and so forth.


I hope you guys don't mind me jumping in, but I had a question about this. I've heard this before and don't quite grasp it... So if a person is trying to improvise a lead over someone else's rhythm, do they need to change, well, I guess I'll call them "scale patterns" and play the scale that corresponds to the chord being played? Ie: play the G major pentatonic over a G chord and then switch to the D major pentatonic over the D chords, etc. Or can you just stay in the Major pentatonic scale the corresponds to the overall key signature of the song? ie: the song is in G, so you stay in the G scale even while other chords are being played...

cmjohnson
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Posted: 8/5/2009 9:20:02 PM
Not theory here, but I've learned that a very good way for me to pick up chord progressions (at least) is to try to find a video of someone playing it who's LEFT handed. (Or find a real live left handed player to learn from.)

For some reason it's much easier for me to pick up the fingerings and chord shapes from a mirror image than it is to watch another right handed player.

Does this happen for any of you, too?


CJ
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mattja
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Posted: 10/2/2009 2:08:14 AM
Originally Posted By cmjohnson:
Not theory here, but I've learned that a very good way for me to pick up chord progressions (at least) is to try to find a video of someone playing it who's LEFT handed. (Or find a real live left handed player to learn from.)

For some reason it's much easier for me to pick up the fingerings and chord shapes from a mirror image than it is to watch another right handed player.

Does this happen for any of you, too?


CJ


I usually don't need to see it to know what they are doing. Years of ear training give one a very good ear for harmony. If I do need to watch, it's usually only to see the exact chord voicing they are using.
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cmjohnson
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Posted: 10/2/2009 7:32:59 AM
I can assure you, I'm not on THAT level. Yet. I may never get there.

It's funny: I can tune to A-440 by ear to within a fraction of 1 Hz (because the sound of an A-440 tuning fork clamped between my teeth is burned into my brain)
but ask me what key something's being played in, or what chord is being played, and it's a guessing game. Yet I started to play in 1984.

I seem to have a very poor "chord sound memory".



CJ
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mattja
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Posted: 10/3/2009 2:01:10 AM
Guitars have a certain intonation that eventually becomes clear. After a while, it's easy to spot certain open chords such as G, D, and E. Once you spot any of those with your ear, you can deduce the rest of the chords and the key based on the harmonic progression.

They really drill that crap into your head in music school. I studied harmony for 8 years, 3 in high school. After a while, it becomes second nature.

Add to that modal and tonal counterpoint, and the entire picture become clear.

Then you can really appreciate the masters, such as Beethoven. They make one feel very small.
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Posted: 1/17/2010 2:21:43 PM
[Last Edit: 1/17/2010 2:22:33 PM by fatk1d]
Can we talk minor pentatonic scale for a moment? Let me assure you that I'm a total beginner and so some of the terms that I'm using may not even make sense in the context of the question being asked. If this is the case, I welcome correction.

Let's consider the E Natural Minor Scale ... Based on the fact that the scale is derived by the using the follow pattern of tones: W 1/2 W W 1/2 W W, I can derive the notes in the E minor scale:

E, F#, G, A, B, C, D, E

The tonic is E, the dominant is B. So, I believe the minor pentatonic scale in E is a subset of those notes, right? In other words, it would be: E, G, A, C, D ... ? (CAGED)

Why then do the graphics showing the frets for this scale on the web indicate that the notes are: E, G, A, B, D, E? What the heck? I thought the only notes that made up a pentatonic scale were C, A, G, E, D? Where does this B come from and why isn't it C instead?
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