• Register
  • Help
Results 1 to 5 of 5

Topic: Aleph Null

Share/Bookmark
  1. #1

    Aleph Null

    This is my 4th or 5th attempt at composing a piece since I returned from my 6 week class at the University of MD. Although we did play around with the concept of Aleph Null, I have used it many times in the past.

    This one I did this evening and uses the GPO Piano and Strings and a couple of other libraries and was composed by playing my keyboard into Sonar.


    Aleph-null is by definition the cardinality of the set of all Natural Numbers and is the smallest of all infinite cardinalities. A set has cardinality Aleph Null, if and only if it is Countably Infinite, which is the case if and only if it can be put into a bijection with the natural numbers, (being both one-to one and onto or in other words, is both an injection and a surjection).

    Here it is
    http://www.box.net/shared/23hak514wk

    I know I am not the greatest piano player, but I try and remember, I haven't played in 6 weeks.

    Ron
    "Reality is merely an illusion, albeit a very persistent one." Albert Einstein

    http://composersforum.ning.com/profile/RonaldFerguson

  2. #2

    Re: Aleph Null

    Quote Originally Posted by rolifer View Post
    Aleph-null is by definition the cardinality of the set of all Natural Numbers and is the smallest of all infinite cardinalities. A set has cardinality Aleph Null, if and only if it is Countably Infinite, which is the case if and only if it can be put into a bijection with the natural numbers, (being both one-to one and onto or in other words, is both an injection and a surjection).
    C'est quoi ?!!

    I have simply no idea what you just said.... But, the music I understand....

    It is great ! I love the drama and threads of thought running wild. Great job. Thank you.
    Kind Regards

    Louis Dekker
    My Music Site

    Pour être grand, il faut avoir été petit.

  3. #3

    Re: Aleph Null

    An intriguing soundscape, Ron... I'd be interested to see
    the score to this.

    Although I can't quite say I understand the relationship
    to aleph numbers (perhaps there's no x in my X to match
    the y in my Y... lol) -- this has a wonderful wave-like
    motion through it... soothing and disturbing at once.

    Perhaps you could elucidate the mathematical underpinnings
    for us?

    As a side note, gosh, hope you can find your way to the
    G.Steinway -- it would sound gorgeous within a big, grand,
    flowing panorama like this!

    Always my best,



    David
    www.DavidSosnowski.com

  4. #4

    Re: Aleph Null

    Quote Originally Posted by rolifer View Post


    A set has cardinality Aleph Null, if and only if it is Countably Infinite, which is the case if and only if it can be put into a bijection with the natural numbers, (being both one-to one and onto or in other words, is both an injection and a surjection).
    ...and here all along I thought it was TRIjection into UNnatural numbers!! No wonder I can't do math!!

    Now for your music... this just gives me further reason to be such a fan of yours, Ron! I'm enthralled by the sounds you put together here, and the resulting mood you created. Great use of the horn section in this one --providing just the right amount of drama -- so tempting to overdo, but done here with restraint and taste. You continue to make great use of combined libraries; it isn't as easy as it would seem to always meld them as seamlessly as you do. The layoff did you no harm; in fact, it may have served to ripen up those creative juices even more, from the sound of this... great stuff (as always)!

    Danny

  5. #5
    Senior Member sosmus's Avatar
    Join Date
    Jan 2006
    Location
    Bellingham, WA
    Posts
    667

    Thumbs up Re: Aleph Null

    Ron:

    Aleph-null is by definition the cardinality of the set of all Natural Numbers and is the smallest of all infinite cardinalities. A set has cardinality Aleph Null, if and only if it is Countably Infinite, which is the case if and only if it can be put into a bijection with the natural numbers, (being both one-to one and onto or in other words, is both an injection and a surjection).
    Wha'd he say???????

    I hear elements of the "blues" and what Gerswhin might have been doing, were he still writing today. I mean this in the most complimentary way. It is both a fun piece and a deep intellectual experience at the same time.
    Whooeee!

    Steve

    (I think I went to school with Alfie Null)

Go Back to forum

Bookmarks

Posting Permissions

  • You may not post new threads
  • You may not post replies
  • You may not post attachments
  • You may not edit your posts
  •