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 ARCHIVED TOPIC: circle of fifths


Please note this is an archived topic, so it is locked and unable to be replied to. You may, however, start a new topic and refer to this topic with a link: http://www.banjohangout.org/archive/202453/2

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From Greylock to Bean Blossom - Posted - 03/23/2011:  21:17:24


quote:
Originally posted by RedDragon

quote:
Originally posted by From Greylock to Bean Blossom

You should care who he is. He has EARNED respect.


Not from me, he hasn't. He's lost any respect he might have earned from me with that bizarre response. I'm sure he'll lose about as much sleep over it as I will.

I won't be entertaining any more off-topic meta-discussion in this thread.

"Not from me he hasn't"? This sounds like a personal problem to me.

I don't think it is a big deal that he has lost your respect. But he is not the big loser of respect tonight.

gdoc - Posted - 03/23/2011:  21:27:12


well said Greylock

From Greylock to Bean Blossom - Posted - 03/24/2011:  04:11:41


quote:
Originally posted by From Greylock to Bean Blossom

quote:
Originally posted by RedDragon

[quote]Originally posted by pearcemusic

I couldn't care less how you see things ... you are only one opinion.


Yes - with as much right to post it here as anyone else, "experts" included.


No one said that you didn't have "the right" to post here.

What should have been learned long ago that is just because you have the right to do something does not make what you do right. Rights come with responsibilities. You have hurt the community by creating a hostile environment for a REAL player.

If you had phrased your opinion as a respectful question and asked him his opinion to your thought process there are good chances he would have taken the time to reply. You and the community would have gained more insight to the thinking process of a PROVEN GREAT PLAYER. Instead you called his view MYOPIC. That is still hard for me to fathom the attitude behind that statement.

Ken


Edited by - From Greylock to Bean Blossom on 03/24/2011 04:16:38

JoeDownes - Posted - 03/24/2011:  04:57:17


RedDragon,

I don't see anything coincidental in the cof. Diatonic music is based on scales, that incorporate as many perfect fifth as theoretically possible to divide the octave. This is not coincidental, but by design. It's the perfect fifth that defines diatonic music.

The perfect fifth, with its ratio of 3/2 (let's forget about temperament for the moment) is the simplest ratio (and thus the most harmonious sounding interval), that creates a different note. You can't build scales with the intervals of unison (1/1) or octaves (2/1). So the perfect fifth is the driving force behind (not only western) harmony.

If you stack perfect fifth to divide the octave, you inevitably end up with the pentatonic scale, that is pretty universal in all kind of music from all over the world. Of course this is not by coincidence, but because it sounds harmonious.

If you continue dividing the octave beyond the pentatonic scale, you inevitably end up with one diminished fifth, between the 4th and 7th interval. This creates the tension in a V7 chord, that is the basic of diatonic harmony.

So I conclude that the fifth is the driving force in all diatonic music. The fact that a perfect fifth creates harmony and a diminished fifth creates tension lies at the heart of the diatonic scales and western harmony. It's not coincidental at all, it's by design.

The diagram of the circle of fifth illustrates those relationships.

The pentatonic scales notes are the root plus the four notes next to it in the cof's. The diatonic scale adds the notes to the left and right in the cof's. Those are exactly opposite each other on the circle of fifth.

So notes that are close to each other in the cof are also closely related harmonically, they combine well into consonant intervals, while notes that are opposite each other create the dissonant interval of the diminished fifth.

Look at a diminished scale or a whole tone scale on a cof's and you'll see that more notes are opposite each other and combine into a tritone interval, adding more dissonance to the harmonies created with the scale. Also notice that the notes of the dissonant interval of the minor second are almost opposite each other in the circle.

So notes that are close to each other on the cof combine into consonant intervals, while notes that are opposite each other in the circle combine into dissonant intervals

Now back to keys: The cof's shows how closely related two keys are. Keys that are right next to each other share all but one note. Keys opposite each other share just one note. Coincidence? No, it's caused by the design of the diatonic scales, that divide the scale in as many perfect fifth as possible.

It's no coincidence that the major chord that are predominant in bluegrass, the I, IV, V, II and bVII are right next to each other in the circle, with the tonic chord right in the middle of them. The progressions 'borrow' the II and bVII major chords from the most closely related keys.

Pat, I'm intrigued by your idea of analyzing jazz progressions as tonic, subdominant and dominant chords. I enjoyed reading your posts and I'd appreciate if you'd continue to share your views, even though you don't like to discuss them. Maybe you can just post your insights and leave the discussion to us.


Edited by - JoeDownes on 03/24/2011 05:12:57

From Greylock to Bean Blossom - Posted - 03/24/2011:  06:15:52


quote:
Originally posted by JoeDownes

Pat, I'm intrigued by your idea of analyzing jazz progressions as tonic, subdominant and dominant chords. I enjoyed reading your posts and I'd appreciate if you'd continue to share your views, even though you don't like to discuss them. Maybe you can just post your insights and leave the discussion to us.

Joe,

I appreciate your attempts at peacemaker. But why would Pat come back on and post when his ideas are attacked and called myopic? Pat has nothing to gain from posting or reading this thread. He is far above this level and was donating his time to help the banjo community. Why would he return to make statements (donations), take abuse, and then not comment?
Ken


Edited by - From Greylock to Bean Blossom on 03/24/2011 06:18:26

pearcemusic - Posted - 03/24/2011:  06:18:31


quote:
Originally posted by stringbreaker

red dragon is the real deal



when it comes to being rude and bombastic you are right ....

if you are talking about his ability to make the banjohangout a great place to come and learn, discuss, make friends, and share .... I think you are wrong.

Pat didn't treat anyone in a disrespectful way here ... Red Dragon did

unnecessary .... rude .... and honestly not too smart (chasing wonderful resources away)

why would Pat want to argue with someone like Red Dragon ...?

I've had discussions with Pat that were an exchange of different ideas, but done in a respectful way. Pat doesn't "need" acknowledgment of his accomplishments from someone like Red Dragon ... and he would never ask for it ... but he also won't stand around as a punching bag for someone who obviously doesn't understand how to have a civil discussion.

I'm not trying to convince you or Red Dragon of anything ... but I would love it if situations like this could go away for good.

JoeDownes - Posted - 03/24/2011:  06:32:33


Ken, Pat might continue posting out of the same reasons that he posted in the first place. He can either stop posting or ignore some comments. I'd appreciate if he'd choose the latter. I think most folks here like to read his comments, so that might be another reason for him to continue to participate on this forum.

I think those discussions about treating the experts with respect should be moved to and continued in a separate thread. It's well worth discussing, but I don't like to see this discussion in interesting and informative topics. It's distracting from the original topic.


Edited by - JoeDownes on 03/24/2011 06:41:03

RedDragon - Posted - 03/24/2011:  08:10:27


quote:
Originally posted by From Greylock to Bean Blossom

If you had phrased your opinion as a respectful question and asked him his opinion to your thought process there are good chances he would have taken the time to reply. You and the community would have gained more insight to the thinking process of a PROVEN GREAT PLAYER. Instead you called his view MYOPIC. That is still hard for me to fathom the attitude behind that statement.


It's getting pretty tiresome sitting through your continual and repeated attempts to disrupt these forums and divert threads into off-topic meta-discussion, but I'll make an exception and field this one because I think it's important to understanding the attitude problems a minority of people seem to have here.

It's "hard for [you] to fathom"? Well, to put it simply, the answer is simply that I'm not a sycophant. "Respect" is something which is accorded from one person to another person, based largely on how that person conducts themselves. All else being equal, a person posting to these forums who picked up the banjo for the first time just this morning deserves exactly as much "respect" as someone who's been playing for 70 years does. Playing the banjo for 40 years doesn't warrant any more "respect" than knocking out widgets on a production line for 40 years does.

I called his view "myopic" - a view which, by the way, doesn't have anything to do with playing the banjo, so his status as a "PROVEN GREAT PLAYER" is irrelevant from the outset; this is a music theory question, and he has yet to demonstrate to me that his music theory knowledge is greater than or equal to mine, so the whole question of "respect" in this case is a total red herring anyway - because I think it is. I gave reasons why I think it is.

"If [I] had phrased [my] opinion as a respectful question"? I wasn't asking a question, and I wasn't seeking his enlightenment, so why on earth would I do this? I didn't see him phrase any of his opinions as "respectful questions" to me. I was telling him that I disagreed with him, and telling him why, because this is a discussion forum and discussing views is what's supposed to happen here. If he doesn't want to discuss things, he doesn't have to, but he also doesn't have to be a jerk about it.

Like I said, if he can't handle the fact that other people disagree with him, then he has an attitude problem, and the same goes for anyone else. He'll get far more "respect" from me for being able to successfully interact with a group of his peers without throwing a tantrum than he will for any amount of banjo playing skills. I've been playing and studying music for almost 25 years myself - if he or anyone else objects to hearing my opinion on those subjects on a public forum, then frankly I don't care. His opinions don't deserve any more "respect" than mine or anyone else's do.

"The Banjo Hangout exists", according to its own words, "to build up the online banjo player community and create an enduring repository of banjo resources. Anyone with an interest in banjo is welcome". It doesn't exist solely as a place to scrounge free lessons, and it doesn't exist as a place to worship "experts". It's a "community [where]...anyone with an interest in banjo is welcome". If some people find themselves unable to interact in such a community on equal terms with everyone else, then as far as I'm concerned they shouldn't be here. Anyone who thinks they warrant special treatment doesn't deserve any "respect", in my book, because "respect" is earned largely from not thinking things like that.

RedDragon - Posted - 03/24/2011:  08:19:36


quote:
Originally posted by JoeDownes

RedDragon,

I don't see anything coincidental in the cof. Diatonic music is based on scales, that incorporate as many perfect fifth as theoretically possible to divide the octave. This is not coincidental, but by design. It's the perfect fifth that defines diatonic music.



I'm obviously having some difficulty communicating this particular point. What the circle of fifths was designed to do was to show the relationships between key signatures. Even if it were true that "the perfect fifth...defines diatonic music", this doesn't change the fact that that's what the circle does.

People seem to place a lot of weight on the fact that the circle "illustrates" common cadential progressions such as ii-V-I. Like I said, all you need to do to demonstrate that the circle of fifths does not illustrate these progressions at all is to try the same exercise with the full progression of fifths, and you'll see that it doesn't match up with the circle at all, because the circle is not designed to illustrate this type of thing. It's just an arrangement of notes into perfect fifths.

As an illustration, you could probably order the notes purely chromatically, and come up with a whole bunch of interesting things you can hang on such a circle. As some people have said here, they look at it as a "circle of fourths", and they can still hang just as many things on it, so the link with "the perfect fifth...defines diatonic music" seem tenuous. You could read things into all kinds of random arrangements, and that's fine, but those things are not in those arrangements by design, which is my point.

minstrelmike - Posted - 03/24/2011:  09:27:34


The musical beauty of the circle of fifths:

For regular 1,4,5 chord songs, the other two chords are to each side of the root chord.
For 2-5 jazz or 3-6-2-5 ragtime tunes, you leap forward 2 or 4 'hours' and walk your way back.

For notes of a scale, the 5 notes clockwise form the pentatonic.
Grab the 6th note and the one counterclockwise and you've got the full major scale.

For reading music, it maps the numbers of sharps and flats in written music.

Mirek Patek - Posted - 03/24/2011:  09:36:08


Where is the comma in the circle of fifths?

Richard Dress - Posted - 03/24/2011:  10:49:38


I am plenty upset that I can't find any flaws in RedDragon's long uncomfortable rant. I hate it when people are right. My only consolation is that his opinion will be lost in the chaff.

Personally, some time after I noticed that there was a similarity in I, IV, V songs, I began to see similarity in songs like 'Salty Dog' and 'I Know What It Means To be Lonesome' (Circle of 5ths), and other interesting tricks. I was happy to know that because it made jamming a little easier. I wish it hadn't taken so long to pick up on it but mostly for ego reasons rather than musical reasons. A lot of pickers got their little bit of theory that way.

But it's not earth-shattering news. How many BG songs have a circle? Maybe 2%? What would happen to someone who never heard of the circle of 5ths?

JoeDownes - Posted - 03/24/2011:  10:50:46


quote:
Originally posted by RedDragon

quote:
Originally posted by JoeDownes

RedDragon,

I don't see anything coincidental in the cof. Diatonic music is based on scales, that incorporate as many perfect fifth as theoretically possible to divide the octave. This is not coincidental, but by design. It's the perfect fifth that defines diatonic music.



I'm obviously having some difficulty communicating this particular point. What the circle of fifths was designed to do was to show the relationships between key signatures. Even if it were true that "the perfect fifth...defines diatonic music", this doesn't change the fact that that's what the circle does.


Where did you get the information that is was designed only to show the relationship between key signatures?

According to wikipedia it 'is a geometrical representation of relationships among the 12 pitch classes of the chromatic scale in pitch class space. ' This implies to me that the intention of the cof is more fundamental than you want to admit.

quote:
Originally posted by RedDragon


People seem to place a lot of weight on the fact that the circle "illustrates" common cadential progressions such as ii-V-I. Like I said, all you need to do to demonstrate that the circle of fifths does not illustrate these progressions at all is to try the same exercise with the full progression of fifths, and you'll see that it doesn't match up with the circle at all, because the circle is not designed to illustrate this type of thing. It's just an arrangement of notes into perfect fifths.


It does match perfectly. On the cof the note clockwise is always a (tempered) perfect fifth above the preceding note. The interval between the 4th and 7th scale step of the major scale is a diminished fifth and those aren't next to each other, but opposite on the cof. The cof can help to understand why there has to be one tritone in the diatonic scale.
If you'd continue to move down a perfect fifth from F, you'd play around the circle through all keys and you end up where you started. That's what the cof illustrates.

quote:
Originally posted by RedDragon


As an illustration, you could probably order the notes purely chromatically, and come up with a whole bunch of interesting things you can hang on such a circle.
As some people have said here, they look at it as a "circle of fourths", and they can still hang just as many things on it, so the link with "the perfect fifth...defines diatonic music" seem tenuous. You could read things into all kinds of random arrangements, and that's fine, but those things are not in those arrangements by design, which is my point.



The cof shows pitch classes, so moving up a fifth equals moving down a fourth. This doesn't change a thing. What the cof really shows is that after going up a (tempered) perfect fifth (ratio 3/2) twelve times you end up on the same (or rather an enharmonic equivalent) note that you started with. Those notes devide the octave into the 12 notes we know as the chromatic scale. It's the most basic insight into the nature of western music. Pythagoras figured it out in the 6th century B.C., and I'm pretty sure he wasn't merely thinking about key signatures.

If your insights were as profound as your attitude is making me wish they were, it would be more fun discussing with you. The cof is an illustration of the profound importance of the perfect fifth in 'constructing' the chromatic scale, the diatonic scales and thus keys. If you can do the same with a random patterns of notes I'd be curious about it.

What did you call coincidental again?


Edited by - JoeDownes on 03/24/2011 11:00:56

Thor - Posted - 03/24/2011:  12:24:49



Good post, Joe.

*interested in this discussion*

RedDragon - Posted - 03/24/2011:  19:39:41


quote:
Originally posted by JoeDownes

Where did you get the information that is was designed only to show the relationship between key signatures?


I infer it from looking at what it actually does. I keep having to put "by design" and "intentional" in quotes because it's not what the original author actually intended that I'm getting at, but what it actually does. The purpose of a toaster is to make toast, despite the fact that you can use it as a doorstop, a paperweight, an art-deco ornament, or any number of other things if you choose to. Read "by its nature" rather than "by design" if you prefer.

When you look at the circle of fifths, the relationships between key signatures is the one thing that stares you back in the face, hence I assert that these relationships is what the primary function of the circle is, or what it does "by design". The rest is ancillary, and is just hung upon that.

quote:
Originally posted by JoeDownes

According to wikipedia it 'is a geometrical representation of relationships among the 12 pitch classes of the chromatic scale in pitch class space. ' This implies to me that the intention of the cof is more fundamental than you want to admit.


Leaving aside the dubious merits of relying on information found in Wikipedia, this doesn't imply anything of the sort, to me. "Geometrical representation" just means it's a diagram, which is obvious. "12 pitch classes of the chromatic scale in pitch class space" just means it has all twelve notes in there, which is equally obvious. That leaves us with "relationships among", and your quote conveys no information about what those relationships are or might be, so the whole thing really doesn't say much.

quote:
Originally posted by JoeDownes

It does match perfectly.


No, it doesn't. When people make this case, they're talking about notes next to each other on the circle. They say if you take a ii-V-I progression in C, for instance, then you get Dm - G - C, and those three notes, in that order, are next to each other on the circle. Thus, it is claimed, the circle has some explanatory power over the progression of fifths.

My point - which I won't make again on this thread - is that you can easily demonstrate that it doesn't do this by trying that exercise with the full progression of fifths, and observing that it doesn't match up at all. I don't see how arguing that the diminished fifth is "opposite" helps in the least - you have all twelve notes on there, so if you allow yourself to jump around, you can prove anything you like.

As I said, what you have here is people reading things into the circle, and because perfect fifths are so common in music, if you do that, there's going to be an awful lot of things you can read into it. These things are different from what it actually does, by its nature. It's quite a simple point, I'm not sure why some folks are nitpicking it to death so much.

quote:
Originally posted by JoeDownes

If you'd continue to move down a perfect fifth from F, you'd play around the circle through all keys and you end up where you started. That's what the cof illustrates...What the cof really shows is that after going up a (tempered) perfect fifth (ratio 3/2) twelve times you end up on the same (or rather an enharmonic equivalent) note that you started with. Those notes devide the octave into the 12 notes we know as the chromatic scale. It's the most basic insight into the nature of western music.


Then all it illustrates is that 7 - the number of semitones in a perfect fifth - is a prime number that does not divide into twelve. You can do exactly the same thing with 5 (which is what the "circle of fourths" does), and 11. This is not a deep musical truth, or a "basic insight into the nature of western music". It's just a simple, very slightly interesting, mathematical fact. It's easy to get carried away on a slightly mystical bent with subjects like music, and to think you've discovered a "truth" when you've actually just found a cute mathematical identity.

banjoak - Posted - 03/25/2011:  04:03:11


quote:
Originally posted by Mirek Patek

Where is the comma in the circle of fifths?


In equal temperament it's divided equally. The circle ends up being 22 cents too sharp. A perfect fifth is 702 cents, so in equal temperament they make them all 2 cents flat 700 cents, 2x11=22.

JoeDownes - Posted - 03/25/2011:  05:50:17


I also prefer other resources above wikipedia. Here are some excerpts from The Harvard Dictionary of Music:

On Chinese music, p. 154

"From the principal note hwangjong eleven additional pitches were derived by the Pythagorean (circle-of-fifth) method."

The circle of fifth, p. 171:

"The circular, clockwise arrangement of the twelve keys in an order of ascending fifths, showing that after twelve such steps the initial key is reached again. "

Pythagorean scale, p. 709:

"A scale, said to have been invented by Pythagoras (c. 550 B.C.) that derives all the tones from the interval of the pure fifth, 3/2. The tones of the diatonic scale are obtained as a series of five successive upper fifth and one lower fifth. (...) The succession of Pythagorean fifths can be continued beyond the tone b, leading to chromatic tones f#, c#, etc., and finally to b#, which is slightly higher than c, the interval between the two pitches again being the Pythagorean comma. "

For a description of how the circle can be applied to harmony read R. F. Goldman's "Harmony in Western music" (1965). Here's an excerpt from wikipedia:

"Another theory regarding harmonic functionality is that "functional succession is explained by the circle of fifths (in which, therefore, scale degree II is closer to the dominant than scale degree IV)." According to Goldman's Harmony in Western Music,[13] "the IV chord is actually, in the simplest mechanisms of diatonic relationships, at the greatest distance from I. In terms of the circle of fifths, it leads away from I, rather than toward it." Thus the progression I-ii-V-I would comply more with tonal logic. However, Goldman,[13] as well as Jean-Jacques Nattiez, points out that "the chord on the fourth degree appears long before the chord on II, and the subsequent final I, in the progression I-IV-viio-iii-vi-ii-V-I." [14] Goldman also points out that, "historically the use of the IV chord in harmonic design, and especially in cadences, exhibits some curious features. By and large, one can say that the use of IV in final cadences becomes more common in the nineteenth century than it was in the eighteenth, but that it may also be understood as a substitute for the ii chord when it precedes V. It may also be quite logically construed as an incomplete ii7 chord (lacking root)." [13] However, Nattiez calls this, "a narrow escape: only the theory of a ii chord without a root allows Goldman to maintain that the circle of fifths is completely valid from Bach to Wagner." [14] en.wikipedia.org/wiki/Diatonic_function


Edited by - JoeDownes on 03/25/2011 05:58:33

steve davis - Posted - 03/27/2011:  05:24:04


I like using the circle as a refernce aid for someone learning the rag and partial rag progression,especially in learning to play w/o a capo and for transposing.
After figuring it out on the wheel,the ear starts to take over.

stringbreaker - Posted - 03/27/2011:  17:30:11


red dragon is right. glad you realized this.

RedDragon - Posted - 03/27/2011:  17:57:37


quote:
Originally posted by JoeDownes

I also prefer other resources above wikipedia.


None of which support what you're saying. Pasting quotations is easy. All the first three say is that the circle is constructed by going round in perfect fifths until you hit the note you started with. We all know that already - that's hardly in dispute. Nothing in any of those three extracts contributes anything to what you're saying about the circle containing some kind of "basic insight into the nature of western music." They just describe how it's put together.

The fourth (also from Wikipedia) is merely a discussion of whether the IV chord can be interpreted as "really" being a ii chord - the use of the term "circle of fifths", quite apart from being called a "narrow escape" - is incidental. The way I read that, it seems to imply the progression of fifths, rather than the circle of fifths. The thrust of the argument is that functional succession is explained by diatonic intervals of fifths instead of by some other interval, such as the major second in the case of the IV-V movement, hence the comment about the theory relying on the concept of a "ii chord without a root" to interpret the IV as a ii. We already know that ""functional succession is" not "explained by the circle of fifths", because when you try to put the full progression of fifths on it, you can see clearly that it doesn't match up. Try finding a reputable source which argues the movement from IV to vii(dim) is explained by the circle of fifths, for instance. The article you're quoting from is even called "diatonic function", and clearly the circle has no role to play here because the intervals on it are not diatonic. Either way, nothing in this extract has any bearing on the things you've been trying to say in this thread.


Edited by - RedDragon on 03/27/2011 18:06:05

JoeDownes - Posted - 03/28/2011:  03:59:36


Pythagoras used the circle of fifth to construct the chromatic scale and the diatonic scale, centuries before key signatures were 'invented'. Coincidental or meaningful?

Analyzing harmony by distinguishing between tonic, subdominant (a fifth below the tonic) and dominant (a perfect fifth above the tonic) function is the basis of Riemann's 'functional harmony'. These relationship can be shown on the circle of fifth. Coincidental or meaningful?

Just because Heinichen designed a circle of fifth, that shows the relationships between key signatures, it doesn't follow that the other implications of the cof (scales, functional harmony, temperament, ect) are not valid, interesting and meaningful.

That there's a diminished fifth in the circle progression, lies in the nature of the diatonic scales. You simply cannot have a 7 tone collection without including at least one diminished fifth. Again, the circle can be used to illustrate this.

Thor - Posted - 03/29/2011:  04:14:23


quote:
For instance, the full progression of fifths - which is the proper name for the actual chord progression - goes:

I - IV - vii(dim) - iii - vi - ii - V - I

It's pretty easy to see that the circle of fifths isn't linked to this progression at all. For instance, to take it in the key of C, I is obviously C itself, and IV is F. If you start at C on the circle, and back up to the left then you will indeed go straight to F, and they'll match. If you go one step further and try to hit vii(dim), this is Bdim in the key of C, but if you back up another place on the circle you'll hit Bb, and not B at all. This is because the descending interval from the subdominant to the leading note is a diminished fifth, not a perfect fifth, and the circle deals only with perfect fifths. So if we're using it to look at the actual full progression of fifths, we can see that the circle fails us before we even get to the third chord.


In my opinion, simply covering the notes that are not in the key is not the same as "reading into" or "jumping around to make things fit" (like the bible code or something). In fact, I consider this to be an elegant (and obvious) aspect of the diagram. I understand that you disagree with this, because you think that the circle is "intended" to be viewed as a whole and traveled around in a particular fashion.
I sorta look at it like a road atlas... if I want to get from Boston to New York, I won't look at the entire US map, I'll look at the NY/New England pages.

The circle is just a diagram showing relationships... and obviously it CAN easily show the full harmonic progression-- from your example:



Not recognizing this and assuming singular intent might be considered myopic. ;)





Edited by - Thor on 03/29/2011 04:18:17

tom elder - Posted - 03/29/2011:  05:20:49


I use a banjo finger board for my theory diagrams,if i want to know whats going on in Bb i simply bar it and look at the memorized scale or chord to see the correct name for the notation at that particular pitch.I can see the scales ,modes, relative minor ,and chords i want pretty much instantaneous,if i wanted to hop a 5th ,i would bar the f and get a readout.

Banjophobic - Posted - 03/29/2011:  06:59:29


quote:
Originally posted by Thor



Not recognizing this and assuming singular intent might be considered myopic. ;)






Touche'..well played sir. There are many ways to view the COF's and if it helps anyone understand the music they play, theres nothing wrong with seeing it in ways beyond just 'key signature'. Limiting a construct like this to one useage is the definition of 'myopic'.


Edited by - Banjophobic on 03/29/2011 07:02:09

250gibson - Posted - 03/29/2011:  08:48:23


I learned the "circle of fifths" as the circle of fouths. In other words, I was taught to construct the circle going clockwise from C: C, F, Bb, Eb, Ab, Db, Gb - F#, B, E, A, D, G and back to C.

And the reason I was taught it was to learn the key signatures. I was taught it in music theory class taught by a jazz bassist, so maybe that is why.

Going clockwise from C at 12 o'clock was the flats, and Going counter-clockwise was the sharps, How many steps in each direction was the corresponding number of flats and or sharps in the key signature.

I believe inferences made otherwise regarding chord progressions, etc. were derived to make bluegrass, folk, music, and the like, that rely heavy on I, IV, V progressions, eaiser to understand and know the chord relationships. If you stare at anything long enough, you can realize many different patterns.

grumpy7 - Posted - 03/29/2011:  09:28:34


red dragon is the new banjophobic. LOL. I love the BHO it is so dam funny. I'm convinced if you went to Hollywood and got 10 of the best comedy writers in the world, they couldn't come up with the funny stuff here.
First you have banjophobic, who got kicked out of the main board for bossing everyone around and telling them all off, and he is here telling red dragon to quit bossing everyone else around and telling them off.
Then you have red dragon who probably didn't even know that banjola was a famous banjo player, but then that makes you ask why didn't you name yourself your real name????? hilarious
Then you got the guy from Holland explaining about the d sharp and the f sharp and how it resolves on the circle, and how Newton's laws of physics predict the placement of the sharp on the b flat chord, yada yada yada. We are playing a BANJO here okay. Note a classical Bach symposium. A BANJO. (lol) As in wearing overalls, missing a few teeth, deer hunting. You get the picture!
(I don't mean any disrespect by the way, you are a super cool guy)
Then you got all the grumpy old guys coming out of the woodwork saying "yeah, I agree"
and it's all over an argument about the circle of fifths (something I have never once, ever, considered using or understanding in all my yrs of playing!)
I love the banjo hangout. that's all i can say. You could never invent comedy this good.


Edited by - grumpy7 on 03/29/2011 09:41:18

Banjophobic - Posted - 03/29/2011:  09:44:48


quote:
Originally posted by grumpy7

red dragon is the new banjophobic. LOL. I love the BHO it is so dam funny. I'm convinced if you went to Hollywood and got 10 of the best comedy writers in the world, they couldn't come up with the funny stuff here.
First you have banjophobic, who got kicked out of the main board for bossing everyone around and telling them all off, and he is here telling red dragon to quit bossing everyone else around and telling them off.
Then you have red dragon who probably didn't even know that banjola was a famous banjo player, but then that makes you ask why didn't you name yourself your real name????? hilarious
Then you got the guy from Holland explaining about the d sharp and the f sharp and how it resolves on the circle, and how Newton's laws of physics predict the placement of the sharp on the b flat chord, yada yada yada. We are playing a BANJO here okay. Note a classical Bach symposium. A BANJO. (lol) As in wearing overalls, missing a few teeth, deer hunting. You get the picture!
(I don't mean any disrespect by the way, you are a super cool guy)
Then you got all the grumpy old guys coming out of the woodwork saying "yeah, I agree"
and it's all over an argument about the circle of fifths (something I have never once, ever, considered using or understanding in all my yrs of playing!)
I love the banjo hangout. that's all i can say. You could never invent comedy this good.






Seems like you are full of 'facts', none of which are correct,haha. You may think its funny to make fun of the guys posting here and to make 'funny' comparisons. Arent you the guy whos changed his identity about 3 or 4 times, from frmented 1,2,3, grumpy 1-7, after being a troll and malcontent yourself? Thanks for your contribution to the COF's idea. It really added alot. Seems like you are the guy whos 'grumpy', from your cycles of being 'grumpy' and immature, and then changing your identity.
You are just attempting to incite things here,a gain. The past is over and Im sure no one wants the drama again. This is the definition of 'troll'. I wonder what identity you'll have next?


Edited by - Banjophobic on 03/29/2011 09:57:48

Mirek Patek - Posted - 03/29/2011:  10:24:41


Is there any way to mix the circle of fifths with the duoprism, which relates the notes which are THIRD apart?

See my message at the end of archived thread banjohangout.org/archive/169589

I am reposting here the links which do not work in the archived message:

Triangular-square duoprism:
(taken from upload.wikimedia.org/wikipedia...prism.png )
Note that all horizontal edges have length 3, all vertical and slant edges have length 4.


If we switch the polygons, the result is Square-triangular duoprism:
(taken from upload.wikimedia.org/wikipedia...prism.png )
Note that all horizontal edges have length 4, all vertical and slant edges have length 3.


These duoprisms contain all 12 chromatic notes (as the 12 vertices) and those ones which are major or minor third apart are connected by the edge (line). Rectangle faces (3x4) contain the notes of major and minor triad from the same root, e.g. C-Eb-G-E. The square faces (3x3) contain the notes of diminished seventh chord and the triangle faces contain the notes of augmented triad.

So - can this duoprism be combined with the circle of fifths?

Mirek

Banjophobic - Posted - 03/29/2011:  10:30:22


quote:
Originally posted by Mirek Patek

Is there any way to mix the circle of fifths with the duoprism, which relates the notes which are THIRD apart?

See my message at the end of archived thread banjohangout.org/archive/169589

I am reposting here the links which do not work in the archived message:

Triangular-square duoprism:
(taken from upload.wikimedia.org/wikipedia...prism.png )
Note that all horizontal edges have length 3, all vertical and slant edges have length 4.


If we switch the polygons, the result is Square-triangular duoprism:
(taken from upload.wikimedia.org/wikipedia...prism.png )
Note that all horizontal edges have length 4, all vertical and slant edges have length 3.


These duoprisms contain all 12 chromatic notes (as the 12 vertices) and those ones which are major or minor third apart are connected by the edge (line). Rectangle faces (3x4) contain the notes of major and minor triad from the same root, e.g. C-Eb-G-E. The square faces (3x3) contain the notes of diminished seventh chord and the triangle faces contain the notes of augmented triad.

So - can this duoprism be combined with the circle of fifths?

Mirek



Wow, thats a fascinating representation Mirek. Im trying to wrap my head around the math involved.

stringbreaker - Posted - 03/29/2011:  13:58:41



john, immature and troll are name calling. red dragon took you and pat to town. grumpy knows what he is talking bout.

Banjophobic - Posted - 03/29/2011:  14:16:23


quote:
Originally posted by 250gibson

I learned the "circle of fifths" as the circle of fouths. In other words, I was taught to construct the circle going clockwise from C: C, F, Bb, Eb, Ab, Db, Gb - F#, B, E, A, D, G and back to C.

And the reason I was taught it was to learn the key signatures. I was taught it in music theory class taught by a jazz bassist, so maybe that is why.

Going clockwise from C at 12 o'clock was the flats, and Going counter-clockwise was the sharps, How many steps in each direction was the corresponding number of flats and or sharps in the key signature.

I believe inferences made otherwise regarding chord progressions, etc. were derived to make bluegrass, folk, music, and the like, that rely heavy on I, IV, V progressions, eaiser to understand and know the chord relationships. If you stare at anything long enough, you can realize many different patterns.




Good post. I think the more thie COF's is studied, the more relationships it can describe. There is apparently more than one way to 'see' it. Im still trying to figure out the relationship to the duoprism that Mirek posted. Thats view that I wouldnt see-Im not that smart,haha.

Jody Hughes - Posted - 03/29/2011:  20:04:14


Anyone have an example of a song that uses the full progression of fifths
I - IV - vii(dim) - iii - vi - ii - V - I

I've seen bVmin7b5-VII-III-etc before.

banjoak - Posted - 03/29/2011:  23:07:18


quote:
Originally posted by Jody Hughes

Anyone have an example of a song that uses the full progression of fifths
I - IV - vii(dim) - iii - vi - ii - V - I

I've seen bVmin7b5-VII-III-etc before.



I have used one song that somewhat illustrates this progression, with 7ths - "Fly Me to the Moon" by Bart Howard. - but it starts with the vi7
vi7/ii7/V7/Imaj7/IVmaj7/vii dim/ - but then breaks the rules slightly and goes to a III7 (major rather than minor) - it needs the major third to function as a leading tone back to the vi7 (this is similar to what Nattiez referred to as narrow escapement) - then continues with a similar ii7/V7/Imaj7 - then often a slight break out with a vi7, but that's optional - back intoii7/V7/and finally resolving on a solid I.

So there you have it. It is fully explained with the cof, (perhaps predictited by the cof?) as long as you don't get persnickity to following the cof exactly. Then again there are other ways to understand the harmonic aspects of the tune (Hershels stacked alternating thirds) might be easier than cof. Giant Steps makes sense too, but it kind of gives me a headache. Any of them is though quite easy if you can bend rules and not really have to explain what's really going on harmonically. And it is no mere coincidence the music conforms how you visually demonstrate it.

Rameau (the guy who wrote the book, pretty good read to explain some harmonic ideas) and some other cpp composers made some compositions that did adhere pretty well the some of those cof progressions. Of course they not many people thought they were good compositions, i.e. they never became hits.

Of course none of these folks from Rameau, Hershel, Helmholtz (my favorite, though he never mentioned the cof) to Goldman and Nattiez and including Bart Howard could agree exactly (not even going into the Giant Steps nor the Lydian chromatic folks), and not one of them posted any sound files demonstrating how good of banjo player they are (probably posers) so what's a soul to think?

I do feel quite confident we lost the OP way back in the dust.

The theory talk is quite interesting, but you can just go with the famous "That ain't no part of nothing" - lot's of truth in that statement as well, perhaps all you ever need.

Thor - Posted - 03/30/2011:  03:00:17


quote:
Originally posted by Jody Hughes

Anyone have an example of a song that uses the full progression of fifths
I - IV - vii(dim) - iii - vi - ii - V - I


I've seen bVmin7b5-VII-III-etc before.



Handel: Suite (Partita) in G Major (G 211-217)

JoeDownes - Posted - 03/30/2011:  03:18:36



Mozart's piano sonata in C major measures 18-26

macromusic.org/journal/volume1/Gerber.html
youtube.com/watch?v=JcUh-ggBfzI

mikey5string - Posted - 03/30/2011:  07:57:55


quote:
Originally posted by JoeDownes


Mozart's piano sonata in C major measures 18-26

macromusic.org/journal/volume1/Gerber.html
youtube.com/watch?v=JcUh-ggBfzI





I transcribed the sonata (the first bit at least) and this part gave me the most trouble. The
first theme works out very nicely in drop C tuning. There is a tab and mp3 on my homepage.

Ive never considered the chords before. Im going to go back and see if I can make it better
knowing them. The tough part is going from treble to bass clef quickly and trying to get them to
sustain over eachother.

Thanks for this bit of info.

TopCat - Posted - 03/31/2011:  06:19:47


quote:
Originally posted by From Greylock to Bean Blossom

You have hurt the community by creating a hostile environment for a REAL player.

If you had phrased your opinion as a respectful question and asked him his opinion to your thought process there are good chances he would have taken the time to reply. You and the community would have gained more insight to the thinking process of a PROVEN GREAT PLAYER. Instead you called his view MYOPIC. That is still hard for me to fathom the attitude behind that statement.


Well said, Ken!

TopCat - Posted - 03/31/2011:  06:23:55


quote:
Originally posted by RedDragon
All else being equal, a person posting to these forums who picked up the banjo for the first time just this morning deserves exactly as much "respect" as someone who's been playing for 70 years does.

And that, ladies and gentlemen, is the nub of the matter. I could not disagree more with this statement. Yes, everyone deserves basic politeness and respect, but I'm sorry, the opinions of experienced players should carry more weight. You don't have to go in with your size 12 DMs kicking the crap out of them just because you think you have the "right" to say exactly what you want. Sheesh.

grumpy7 - Posted - 03/31/2011:  06:54:01



youtube.com/watch?v=Nw01ImG07aE


Edited by - grumpy7 on 03/31/2011 07:07:16

tom elder - Posted - 03/31/2011:  19:54:55


a picture

Jody Hughes - Posted - 04/01/2011:  06:33:07


Thanks for the responses.

tom elder - Posted - 04/01/2011:  07:28:31


Kemo Sabe asked me about my audio take on this,by the way i think i was introduced to this theory by the red Pete Seeger book.
Any way Phil as luck has it, it is changing chords about right on the second,it goes thru the circle 4 times,starting at 20 seconds completing at around 30 resting 2 measures taking off again at 36,this rest occurs again at roughly 49-52 seconds,then at 1 minute 05 till 1 minute 08.The chords i use are G-D-A-E- B-Fsharp-Db-Ab-Eb-Bb-F-C-
I may have practiced it years ago,it is basicly changing the main 3 closed chord positions,an important thing to get going but easy as pie afterwards.One thing i do is fret the high G string with the same finger i fret the low d with to keep it in tune at all times.I am amazed that books don't show this.

banjojnab - Posted - 04/24/2011:  06:38:23



I've read this topic with interest as one with next to no music theory experience and learning banjo. I just share my insight into the Cof5ths. That would be that the Circle of 5ths is to music similarly to what the periodic table is to chemistry or geometry is to math. A good diagram is the key to understanding a problem and gaining further knowledge.



Here's a simple example: At one time, before the periodic table was portrayed, chemists (alchemists) had knowledge of a number of elements and the main part of their occupation was describing everything they could about each element. Over time, chemists began to notice that certain groups of elements behaved similarly under similar conditions. At some point a chemist named Mendeleev laid out all the elements known at the time into the diagrammatical representation known now as the periodic table. To make a long story short, seeing the list of elements portrayed in this fashion led to a number of key insights into why certain elements behaved as they did, and why some combined with others in a certain fashion, why some were solids, liquids, or gases, why some didn't react at all, based on valence electrons. Perhaps more importantly, the (representation of elements into the) periodic table also explained why these phenomena must be so. Chemists were now able to predict the behavior of various combinations of elements (chemical reactions) and eventually led to synthetic chemistry...



In math, a good geometric representation of a problem leads to key insights, and explains why it must be so. A circle is understood when one realizes that every point on the circumference is an equal distance from the centre. Similar diagram representations show why the sum of angles inside a triangle must equal 180 degrees, a square 360 degrees, in general 180 x (number of sides minus 2)... Pages of formulas and mathematical proofs could explain the same thing, but the diagram makes it readily apparent. From a good diagram representation, one can understand statics, dynamics, architecture, clock making, space travel, gears, banjo strings, etc., and get an explanation as to why things must be so.



The circle of fifths is a diagram someone conceived as a way of representing relationships between key signatures, in the experiential sense. If you look at it, that's all it really is. However, having the key signatures arranged in this diagrammatic fashion, instead of being written down as a series of scales with successive sharps and flats, or counting to 5 on your fingers. As I learned here, one can easily figure out key relationships, scale relationships, more complex musical passages,...ultimately take the banjo to places it's never been before. It's not apt to say that the uses made of Cof5ths is analogous to using a toaster as a doorstop. It would be more apt to say that a diagrammatic representation of thermodynamics and electromagnetism led to the toaster, and many other objects we now have to make life more convenient.


banjojnab - Posted - 04/25/2011:  05:56:53



I was thinking about how the circle of fifths may apply to other modes (dorian, myxolydian, etc) and came across this handy DIAL that shows the circle of fifths and chord progressions for any mode and key of your choosing. Very practical:



all-guitar-chords.com/circle-of-fifths.php



Is there a similar resource for banjo out there?



Edited by - banjojnab on 04/25/2011 06:03:31

OT Banjo - Posted - 04/27/2011:  19:11:13



quote:


Originally posted by banjojnab




I was thinking about how the circle of fifths may apply to other modes (dorian, myxolydian, etc) and came across this handy DIAL that shows the circle of fifths and chord progressions for any mode and key of your choosing. Very practical:



all-guitar-chords.com/circle-of-fifths.php



Is there a similar resource for banjo out there?






This appears to be universal (not guitar or banjo-specific).



Edited by - OT Banjo on 04/27/2011 19:12:04

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