Translate

Sunday, January 17, 2016

15. The diminshed 7th (Rdim7) and augmented (Raug) chords: As balander-chords and their harmonic role for resolutions. The smalest modulation cycles, of order 2,3 and 4


Each such chord has all its notes as roots, that is why are called balander-chords. 
The role of diminished and augmented chords creating the emotion of anxiety  and resolving to a major (or minor) with two (or one)  notes close by one semitone to two notes of them. 

About the stanrd dominant 7th  resolution e.g. G7->C 


Interval explanation by notes in one semitone distance
This is called the standard Dominant resolution e.g. G7->C  , D7->G, C7->F etc The key to explain of this anxiety-serenity resolutions is that the dominant 7th chord e.g. G7 is the superposition of the Gmajor+Bdiminished, and the diminished chord is by itself a bit sad with anxiety, which is correlated with the Cmajor chord which has serenity because it contains at least one notes of one semitone distance of notes of the C major. These are the notes B, with one semitone distance from the C of Cmajor. The  same is the explanation why the  Cdim7 below resolves to G, because it has the notes D# and F# with one semitone distance from the notes D, G of Gmajor. Sometimes even Cm will be considered resolving to G, because of the D# note at one semitne distance from the D note of G, and the major chord sounds with more serenity than the minor chord!
And the same is the explanation why in the Andalusian Cadenza  Dm, C, Bb A. , the Bb resolves to A, because it has 3 notes one semitone distance apart from corresponding notes of A.

Similarly as the E7 resolves to A so the Em7b5 resolves to A too because it has the 3 notes D, F , G# one semitone apart from the C#, E , A of A chord. And similarly the Edim7 resolves to A as it has the notes D, F one semitone apart from the C#, E  of A


For the same reason if D7 resolves to G, then also Daug resolves to G because Daug has the notes  F#, C# at one semitone distance from the notes G, D of G major chord and Daug sounds in anxiety.


See also 


https://www.youtube.com/watch?v=sDEicex433w
SCALES THAT HAVE DIM7 AND AUG CHORDS

All the 7-notes scales that have steps made from 1,2,3 semitones have more or less chords of the type diminished  and augmented, except of major and minor


(The post has not been written yet completely)