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Inversion by Minor sixth = Change in axis?

Okay, let me clear things up here. I have a short little motive in the first theme of my rondo that I think will lend itself to motivic development nicely. My second theme starts in Ab major. Just for context here, my first theme is in C minor. Here are the notes of the motive:

C, F, D, Eb, Ab, F, G, C

I have the melodic equivalent of a line cliche here. No problems with that. Here is the interval pattern:

(Ascending fourth, Descending third, Ascending second)x2, Ascending fourth

The rhythmic pattern is quarter, eighth, eighth, quarter, eighth, eighth, quarter, quarter. So something similar to this:

but with 2 extra quarter notes added.

The fact that both the intervals and the rhythm are in a pattern means that there are both rhythmic and melodic routes to developing the motive which means more development can be done without making the motive seem boring. And the fact that the motive is long means even more development is possible than if it were shorter.

Now here is where I get to inversion. I was thinking of inverting by an interval other than the unison so that my motive could not only go down but also be consonant with Ab major. Yes I know, I could have simply transposed the motive and then do your typical inversion by the unison. But I wanted to try something different.

First I wanted to see if the interval from C to Ab was symmetrical by scale steps alone. If it was, then, there would be 1 note that would stay the same. Turns out, it wasn't symmetrical by scale steps. Now this is where I had to bring in the half steps. I was wanting to figure out what note did stay the same assuming that the inversion is by half step numbers and not scale step numbers. Turns out, it is E natural. Now I also went outwards, this time by scale steps and there was a shared note, Bb, the only note in C natural minor that doesn't appear in my motive.

This made me think

Wait a minute. If I treat this as an inversion by minor sixth, then C becomes Ab, Db becomes G, D becomes Gb, Eb becomes F, E stays put, B becomes A, and Bb stays put. I end up in Db major this way which is at least closely related to Ab major. If I treat this as a change of axis followed by inversion by the octave, I get the scale symmetry back but all of a sudden I'm in Bb major when I'm trying to go to Ab major. That is not closely related to Ab major. The only key with a tonic of Bb that is closely related to Ab major is Bb minor.

So basically, I hit a dead end there with my non-octave, non-unison inversion. I was trying to invert it such that via inversion I would go from C minor to Ab major. And I figured that it would have to involve C going to Ab. But that lead me to 2 very different keys depending on whether I think chromatically or diatonically about the inversion. In either case, the E and Bb stay put and those notes are a tritone away so the fact that they stay put after inversion makes sense because the tritone is symmetrical across the octave.

But why is it that inversion by the minor sixth does not lead you to the key a minor sixth away but instead a minor second or minor seventh away? Does this mean that I would have to invert by the major 10th to get to Ab major from C minor via inversion alone? 

Während die Farbe Braun wird immer häufiger in Hochzeitskleidung

Selbstverständlich ist ein Schwarz-Weiß-Palette immer elegant und Alter angemessen und die Braut, die ein klassisches Profil von einem schwarzen ärmellosen Oberteil und dicke Taille Schärpe gepaart mit einem weißen vollen Rock wählt ist sicher, erfolgreich zu sein. Es gibt einige Optionen, die Pailletten und Stickereien zu verwenden, um einen weißen Rock eine Reihe von funkelnden schwarzen Punkten, die der absolute Inbegriff der formelle Kleidung sind zu geben.

Zwar wird es einige 
, die über die Verwendung von Schwarz in einer Hochzeitsensemble ihre Nasen Falten sein, und wer noch ein Kind in schwarz gekleidet Stirnrunzeln wird, ist es wichtig, sich daran zu erinnern, dass eine gut gewählte Kleid, das in der gesamten Farbschema funktioniert ist sicher zu einem Erfolg werden. 

5 New Compositions

Hi! I would really appreciate if someone checked out my latest compositions. There were a few glitches when uploading these pdfs, but the best quality pdfs can be found on a site called piano shelf.

Lorsque vous magasinez pour des robes de soirée chez le détaillant local

Le retour au foyer n'est peut-être pas aussi chic qu'un bal de  promo, mais c'est toujours un grand événement pour les étudiants et de  nombreuses filles réfléchissent depuis des mois au choix d'une robe de  retour au foyer pour se sentir spéciale. Homecoming, comme bal de promo,  est une danse formelle dans laquelle les filles portent généralement  des robes du soir et les garçons portent un beau costume. 

 Un certain nombre d'événements ont lieu pendant le week-end des  retrouvailles dans diverses communautés du pays, notamment des  événements pour les étudiants actuels et les anciens élèves. Alors que  les activités des anciens sont au premier plan, le jeu des retrouvailles  et la danse formelle sont les plus importants pour les étudiants  actuels.
Une  robe de retour magnifique et à la mode ne doit pas coûter une  fortune. Bien que l'achat de robes du soir chez les détaillants locaux  ait un sens et vous permette de voir, de toucher et d'essayer des robes  du soir bordeaux, c'est trompeur. Les vêtements coûtent plus cher  localement et devront probablement être changés 
robe pas cher pour mariage
, ce qui vous coûtera encore plus cher à long terme.