Pi and music
Since by became a constant in fashion, it was put in all
kind of waters, mostly trough the mediums of its decimals. After
several representation of Pi in pictures, here comes the musicians!
It is true that with it's infinite decimals, Pi represent a source of
insparation with no end. All you need is to construct a kind of
translation between the digits and the notes or chord, and here is
hours and days of music,all of it automaticly!
You still need to be able to appreciate the harmony....
If you have any pieces that lay about and that are inspired by our dear
constant, don't hesitate!
(note : it is possible that one of the following pieces is not loaded.
In that case, try to reload the whole page, and then if desperate,
download the files for your home computer and listen to them with any
.midi player, such as Quicktime Player mac/pc)
The transcription of decimals/ notes
A first transcription of decimals into notes was done by LizZie (the famous
SailorPi from my links page !) and is done with c=1, d=2, ....,
c=9 (simple !) :
Arrengments by Daniel Cumerrow
Daniel Cummerow, from "The Sounds of
Mathematics", used the special musical alphabet by Olivier Messiaen
(I have not found any description of this alphabet on the web, sorry!)
to transcibe the first 255 decimals of Pi. His method is explained on
the page http://www.geocities.com/Vienna/9349/summary.html
The cherry on the cake is that this is 3min14s!!
Harmonisation of Pi III (Jean-Philippe
This piece is based on the transcription in base 7 of Pi.
J.P. Fontanille then associated a chord to each of those digits which
are used for more than a quaver.
Je vous propose les trente premières mesures de la partition de
la troisième harmonisation de Pi. Je la transcrirai dès
que j'aurai un peu de temps (ce qui veut tout dire...).
Image of the first bit of the
music score (gif 60Ko)
I've finally manage to get two pieces of Harmonisations of Pi (thanks
Adeline !), available in mp3. In fact, it's very harmonious !
Harmonisations of Pi 1
Harmonisations of Pi 2
The page of Pi-phony is
original. The program Pi-world transform the decimals of Pi in drawings
of circles, straight lines, etc.... basicly in lovely drawings that you
can see on the page http://home.t-online.de/home/HAEL.YGGS/pigale.htm.
You just need to program the algorithm to simply obtain lines and
pause, and this gives musical voices more or less following the method
of Barbarie's organ!
The sounds of Elias
famous page dedicated to Pi, we can find a section dedicated to the
sound of Pi.
This Elias had the idea to code the firs 65536 digits of Pi in binary,
at 8kHz. Who can find a pattern in the product!
Sound 1 :
Sound 2 :
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