What You Can Do With This (As Slow As Possible)

score cage

I believe the best thing here is to show one’s cards slowly and just throw up the slide above and get a discussion started.

Hopefully enough students know music to note the oddities, and eventually someone with an eagle eye will ask what all those numbers are.

zoomthumb

They’re dates, and here’s all of them:

05.09.2001 (Sep. 5, 2001)
05.02.2003 (Feb, 5, 2001)
05.03.2004
05.02.2005
05.01.2006
05.05.2006
05.03.2008
05.11.2008
05.02.2009
05.03.2010
05.02.2011
05.05.2011
05.08.2011
05.07.2012
05.07.2013

After some boggling, hemming, and hawing (and in this case some heavy nudges from the teacher), a decision should be made that these represent the dates the notes are played.

Let students calculate how long the piece will be, and have them marvel at a piece of music that takes 12 years to play.

Then explain this is only a short excerpt from the score which is 4 meters long and consists on average of 1917 quarter notes. Each quarter note takes 4 months to play (which is possible to extract from the above score, so students should make their own estimates first).

How long will As Slow As Possible take to play?

After a calculation of 639 years by this point the student ought to be either hooked or in disbelief. At this point it is appropriate to show the news material from my other post.

Where things go from here depends on the level of your class. Josh in this comment mentions some ideas; the two I had in mind were:

Lower level class: How many generations will it take to perform the piece?

Higher level class: What is the length of the next note they will need to install?

unfinished organ

As explained on Wikipedia:

The octave sounded by a given pipe is inversely proportional to its length (“1/2 the length = double the pitch”), meaning that a 4′ stop speaks exactly one octave higher than an 8′ stop. Likewise, a 2′ stop speaks exactly one octave higher than a 4′ stop. Conversely, a 16′ stop speaks exactly one octave below an 8′ stop; and a 32′ stop speaks exactly one octave below a 16′ stop. Octave pitch lengths used in actual organs include 64′, 32′, 16′, 8′, 4′, 2′, 1′, and 1/2′.

(Some more details on pitch levels are here.)

Study of the musical score above reveals the next note needed will be a half step over middle C, in 2011. Assuming middle C is 8′, then the C one octave (12 half steps) above is 4′. That should be enough to make the calculation.

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s

%d bloggers like this: