Pianophilia

More from Sibley...

Publication Name: Zwei Tanzstücke : für das Klavier : op. 30a
URL: https://urresearch.rochester.edu/instit ... onNumber=1
Composer:Busoni, Ferruccio (1866 - 1924)

Publication Name: Nuit de Noël : esquisse pour le piano
URL: https://urresearch.rochester.edu/instit ... onNumber=1
Composer:Busoni, Ferruccio (1866 - 1924)

Publication Name: Zwei clavierstücke
URL: https://urresearch.rochester.edu/instit ... onNumber=1
Composer:Busoni, Ferruccio (1866 - 1924)

Publication Name: Elegien : 6 neue Klavierstücke
URL: https://urresearch.rochester.edu/instit ... onNumber=1
Composer:Busoni, Ferruccio (1866 - 1924)

Publication Name: An die Jugend : eine folge von Klavierstücken
URL: https://urresearch.rochester.edu/instit ... onNumber=1
Composer:Busoni, Ferruccio (1866 - 1924)

Regards
Fred

I have just been reading Antony Beaumont's wonderful book on Busoni's music "Busoni the Composer" and it mentioned that two sheets are preserved in the East Berlin Busoni archive, which have 145 scales he generated. Does anyone have more information on this, or even a copy of these manucripts?

In response to my own request, I have found the list of scales!!
http://www.scribd.com/doc/47181919/Maso ... oni-Scales

I will try to get a higher quality version of this document in a day or two.
And then I will write a piece with one of the scales, to have some fun.

Thanks for the link, Alex. I have a confession - I find
matrix algebra somewhat more interesting than scales!

Timtin wrote:Thanks for the link, Alex. I have a confession - I find
matrix algebra somewhat more interesting than scales!

I do agree - voilà a little matrix problem:

If A and B are n x n square matrices (over some field) such that AB = 0, then rank A + rank B ≤ n .

Bw, paolor

paolor wrote:

Timtin wrote:Thanks for the link, Alex. I have a confession - I find
matrix algebra somewhat more interesting than scales!

I do agree - voilà a little matrix problem:

If A and B are n x n square matrices (over some field) such that AB = 0, then rank A + rank B ≤ n .

Bw, paolor

I love scales.

Ferruccio wrote:

paolor wrote:

Timtin wrote:Thanks for the link, Alex. I have a confession - I find
matrix algebra somewhat more interesting than scales!

I do agree - voilà a little matrix problem:

If A and B are n x n square matrices (over some field) such that AB = 0, then rank A + rank B ≤ n .

Bw, paolor

I love scales.

I hate both!

paolor wrote:

Timtin wrote:Thanks for the link, Alex. I have a confession - I find
matrix algebra somewhat more interesting than scales!

I do agree - voilà a little matrix problem:

If A and B are n x n square matrices (over some field) such that AB = 0, then rank A + rank B ≤ n .

Bw, paolor

Column vectors of B are in Kernel of A... use rank-nullity and you're done

Parag

parag wrote:

paolor wrote:

Timtin wrote:Thanks for the link, Alex. I have a confession - I find
matrix algebra somewhat more interesting than scales!

I do agree - voilà a little matrix problem:

If A and B are n x n square matrices (over some field) such that AB = 0, then rank A + rank B ≤ n .

Bw, paolor

Column vectors of B are in Kernel of A... use rank-nullity and you're done

Parag

Bravo! (some of my students had problems with this one...)

Br, paolor

I'm glad that link had something for everyone! Unfortunately, math is not really my forte. After playing through some of the scales, I am at a loss for how I can compose in them. It's tough to say the least! Unfamiliar territory...

PS - I was able to get a better quality scan from Jstor but I don't think it would be okay to share here