February 24th, 2005

king crimson finger

Yet more musical math

Yes, I'm still going on about this.

A few days ago I realized that if I allowed durations to be negative, then retrograde (horizontal inversion) would be a special case of multiplication—motive multiplied by a note of negative duration—and therefore multiplication would be able to describe canon in contrary motion, without having to alter the definition of multiplication. Pretty sweet. But I was sort of frustrated that I couldn't define vertical inversion similarly.

Then just the other day I hit on it. It's based on another operation I'd played around with when I was first coming up with the idea of motivic math: multiplication of the intervals in a motive by an interval. The solution is to give notes an extra quality, called span (I'd call it height but I think most would assume that to be synonymous with tone). The product of two notes A and B would be defined as a note C where:

Ctiming = Atiming+BtimingAduration
Cduration = AdurationBduration
Ctone = Atone+BtoneAspan
Cspan = AspanBspan

Vertical inversion would therefore be multiplication of a motive by a note with a duration of negative one.
magma

Silly wrestling meme

Had to do this one. It's by thechio.


What is your Professional Wrestler Alias?
Real Name
Wrestler Name
Hometown
Weapon of Choice
Supposed Height 5'7"
Supposed Weight 475lbs
Gimmick A beer-drinking, cussing, yelling degenerate with no respect for authority. Does whatever they want whenever they want and doesn�t care who they have to beat up along the way, but the fans love them anyway.
Wrestling Style Striker
Finishing Move Running Elbow Drop
Percentage of Matches Won - 75%






























This quiz by thechio - Taken 17 Times.
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Nice win count. But a running elbow drop? What a boring finisher.