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I like to see a pivot chord(s) for modulation in the palette ?

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I am still fighting with the modulation in HN2
It is also a keyfeature, but it seems not easy ( for me) to achieve
For instance as example i like to modulate from Cmajeur to Gmajeur( 1 # )


( it also valid for all 24 scales in the circle of fifths diagram in HN2, ( white and black keys on the keyboard ..so i pick one Cmajeur scale and the neighbour G majeur scale)


- it is possible to see the shared chords "choose scale Cmajeur in the Circle of fifths diagram and than via Ctrl+Gmajeur
But than you have to decided what chord will be acted as a pivot chord??

For Cmajeur(source key) to G major(target key) you choose Aminor


 


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The rule is that the dominant of the target key leads us to that key


And the tonic cannot be used as a pivot chord? --> find out ?


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a general form is Isource-?-Vsource- PIVOT CHORD!-Vtarget-?-Itarget


Isource------------Vsource------ ..scale Cmajeur


                                            PIVOT    


                                            -------Vtarget -----------------Itarget ..scale Gmajeur


Despite the fact that you in HN2 you can see shared chord between two scales it is up to you what chord you choose a pivot chord


My idea is that HN2 must come up with a pivot chord..  Cmajor and Gmajor share for instance  4 chords ( triads )



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So when you are working with the palette you must use the basic chord layout than
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I am not sure about this... after study 2 examples of C majeur  to Gmajeur and F major it seems that there 4 pivot chords occur


To generalize this to other scales ?


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Note: yes 4 pivotchords !! and i checked this with the two scales in HN2 : open a Cmajor palette and a second with Gmajor


and you start with I and go to VII  ladder position fin Cmajor that in the Palette for Gmajor shows 4 pivot chords
I think this is valid for the whole circle of fifth diagram for major and minor scales (24 scales ) (outer and inner circle)--> there will be always 4 pivot chords? if you take a random key and go to the left or right target key of the circle of fifth diagram (on outer or inne circle


(note this evening i will listen to Inner circle music too!)


I think it is better on forehand to know what are the pivot chords for the whole circle of fifth for 24 diatonic scales
This knowledge must be programmed into HN2 to give a easy start with modulation



But you have to focus yourself  on the rule that the dominant of the target scale leads us to the pivot chord


 


WELL IT SEEMS ME TO HANDY THAT HN2 COMES UP WITH A SUITABLE PIVOT CHORD FOR MODULATION


I try to come up here on the forum with a list of 24 pivotchord for all 24 diatonic scales..later..but i think it is easy to deduce the general case from example 1
- all 12 major scales do have the some chordformulae  1111/2111/2 in the circle of fifths  


- all 12 major scales do have the same chord types


From one example Cmajor to Gmajor is the Aminor ( Amin=VI forCmajor and Amin=II forGmajor)


Take the Amin(II) of the target key G and the dominant as orientation for the modulation


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(1) So for all 12 major keys modulation in the outer circle of the circle of fifth diagram take the the Amin(II) as pivot chord of the target key and the the dominant from this key as orienation for the modulation 


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(2) As i study a example for a C major to Aminor (relative minor key of major) it seems that for this type of modulation, the C chord (iii)  is used as pivot chord
So for all 12 major keys to their respective relative minor chords take the C (iii) as pivotchord of the target key and use the dominant from these keys as orientation fore the modulation
Try this out?


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As you study the circle of fifth and take the Cmajor than it is surrounded by one key what does have the same notes as Cmajor namely Aminor ( does have the same chords).


The other 4 keys =scales around Cmajor differ only in one note ..they have 6 notes in common with the Cmajor  ..so how this modulation works?..what is the pivot chord for this?


Recap: so the the Cmajor is surrounded by (Fmajor, Dminor, Aminor, Eminor and Gmajor)
If i can modulate ( find the pivot chords) for the 5 scales surrounded Cmajor than i can compose


So there are a number of modulation cases ( 5 i think) to examine ..and i did (1) and (2)
At the moment i do know 2 of them ( major scales to major scales modulation and major scales to their relative scales modulation) and they use the Amin and C as pivot chord 


How about the other 3 cases :


- C ->Dm


- C-> Em


-Am -> Em


To see this i made here below a diagram ( unfortunately the diagram is not complete ..i cannot make a slope connection line for the the crosslines )
So i must made a diagram in Fireworks dreamweaver  and post here.


 


So when i study Cmajor who is surrounded by 5 scales in the circle of fifths i can modulate the outer circle with the Major scales( use II as pivotchord from the targetscales )
Than i can modulate the relative scales from the major scales too ( use iii as pivotchord from the targetscales)


Let me try to make a diagram here for the pivot chords from a part with Cmajor as starting point in the circle of fifth


 As you noticed in the diagram not all modulations are done


- the modulation for the innercircle of the circle of fifths (minor scales ) ...e.g if you want to modulate from Am to Em ?


- how about F to Am , C to Dm , C to Em and G to Am ?


All those modulations here must have a suitable pivot chord, because there scales differ only one note  ( 1b,1# or no sign)
There is one thing to more consider and that is the direction of the modulation?


I go from C to G and than from G to C..how about the pivot chord?


   F -- II -- C -- II -- G


   |               |            |


  iii              iii           iii  
   |               |            |


  Dm --?-- Am--?-- Em


Pivot chords :   II = Aminor and  iii = C


  You can see that i can modulate the major scales with their relative scales by using those pivotchords from the target scales


(use the rule that the dominant chord of the target scale leads us the pivot chord)
So if you do this with the palette in HN2 than you will see as you take for example Cmajor -> Gmajor that the Aminor from Gmajor is the pivot chord( this chord connect the Cmajor scale with the Gmajor scale )


 


Examples


1- Cmajor(source key)-> Gmajor (1#)(target key) = Aminor pivot chord


C: I-IV-V^7 I   vi (=pivot chord Am) SOURCE KEY


                 G : ii (=pivot chord Am) V^6_5- I -ii^6 - V^7 -I   TARGET KEY      


This chord progression is constructed by hand with the voice leading principles! and no HN2 used
But how to replicate this HN2 ?? 
I like the idea from cognitone that the cumbersome handwork of chords voiceleiding is automated by HN2 


If voiceleading is not anymore the issue than you can concentrate on the composing  


Exercise try to this modulation for yourself in HN2


2 Gmajor -> Dmajor(2#) = ?? ..=Amin(II) for Dmajor(2#)


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Di., 16.08.2011 - 08:06 Permalink

Thanks for the sketch

I will study it. Seems to make sense. Modulation is nice but a bit complicated for us that lack the music theory. Thanks

Mi., 17.08.2011 - 01:43 Permalink

That is nice !


I use the information about modulation for 2 cases for modulation  from this website : http://www.teoria.com/tutorials/hf/mod04.php


CASE 1: - i can modulate the outer circle in the circle of fifth diagram --> II (pivot chord) target key


CASE 2 - i can modulate the relative scales of the outer circles scales --> III (pivot chord) target key  


Remember the rule that the dominant of the target key leads us to the pivotchord..it means that somewhere before the dominant chord position (V) the pivot chord is placed


You can pratice this in harmony navigator by open the 2 keys and you wil see that the pivot chords for the 2 cases will show up on this position ( II or III dependant of the case) as a logical result of the modulation chord progression 


To understand modulation it is first necessary to understand scales/chords( + their chordal function on the scale) in relation to your keyboard of your piano or synthesizer or key board ( as reference it much more easy to understand musictheory as you can see/play it on your keyboard !)


 


i only have to find out the modulation for the inner ring of the circle of fifth( the minor scales) and like also to modulate from a Cmajor to not relative minor scale ( beware: there is also a relative key of Cmajor that is Aminor)


and i think that investigation of Cmajor to Dminor for the modulation pivot chord is enough ( also the Cmajor to Em is probably the same case as Cmajor to Dminor)


 


Dminor is the relative minor key of F major  and has 1b ( one flat as foresign ) and  Dminor has also 6 notes in common with Cmajor so it will b elikely that there i salso apivot chord to find


To understand this all you must focus on the circle of fifth and


see Cmajor as centre with 5 surrounded scales and the it revolves here about pivot chord modulation from Cmajor r


to the surrounded keys|


My goal is to come up with a number of pivot chord to remember for the modulations and it looks like that i have to figure out 2 more modulation cases 


  


It seems that all direct keys who surrounded Cmajor in  the circle of fifth diagram ( except for the Aminor relative scale who has the same number of notes as the Cmajor) have 4 chords in common!!


You should try this too! with the palettes


Also the innercircle with the minorscales do have 4 chords in common if i compare two minor scales as neighbour


 


So i think there a general pattern for Cmajor and the surrounded neighbour scales in th e circle of fifths diagram : THEY SHARE ALL 4 CHORDS and among these four is one a pivot chord


For two case i already figured this out, but not yet for the remaining cases , but that must be not a big hassle , because you must use the rule that the dominantchord of the taget key leads us to the pivot chord                      


Note : study also the video tutorial form cognitone for modulation ( it is a 5 step process? )