The Diminished Square:, A little chord discovery I made... Options

[Benny G]

Hey,

*WARNING* If you are not interested, or do not know anything about chords, you may as well stop reading now.

A few days ago I was playing around on my piano, testing out a few chord inversions and I made a little discovery about Diminished 7th chords.

I wrote down the notes of 4 of the 12 dimished chords. I found that all the dimished chords were tightly related to one another. This is the image I created.

(IMG:http://i275.photobucket.com/albums/jj299/guruben/Dimished_example3.jpg)

As you can see from the image above, I have written out four Dimished 7th chords in a box form.
Each dimished 7th chord has 4 different inversions. Those 4 different inversions, in unison with the correct bass, it creates four different diminsihed chords.

The chord tonics are ringed in this next picture.

(IMG:http://i275.photobucket.com/albums/jj299/guruben/Diminished_example2.jpg)



The final picture (below) shows you that the tonics are the same on both the "X and Y axis" (if you like)

(IMG:http://i275.photobucket.com/albums/jj299/guruben/Dimished_example1.jpg)

If you found this incredibley boring please don't tell me.
If you found this interesting then please leave your comments below.

To everyone, best of luck in the future.
Ben (IMG:style_emoticons/default/smile.gif)(IMG:style_emoticons/default/smile.gif)

[Czerny]

It's because all the notes are a minor third apart, so each diminished 7th is formed from a 'stack' of minor thirds. This is also why there are only really three of them, as fsharpminor said.