Repeat the experiment with a lower base, eg. pi in base 8: 3.1103755242102643021514230630505600670163 all the notes fall within an octave. Regardless of what base we use, the the probability of each digit seems to be independent of the preceding digit, ie they notes are independent. I think this pretty much rules it out of generating a complete melody, but there might be motifs in there which a human composer could take as inspiration.
Jez, Base 8 males the notes fall within in octave (8th interval)! How interesting!
The Christian hymn "This Is My Father's World" mentions "the music of the spheres." I doubt, however, that the lyricist knew one whit about music fashioned from pi.
I found this particular video on Facebook. As a piano teacher and choir director in an elementary school, I network with several of my former students from years ago. One of these former students posted The Song of Pi! to my Facebook timeline.
Thanks for the reminder about Einstein's birthday. Quite the coincidence, huh?
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Just goes to show...Timing is everything.
ReplyDeleteonce again music and mathematics.
ReplyDeletepi has an occasional dissonance.
Clever idea, but a bit too rangy to succeed as melody.
ReplyDeleteI.M. Gott
Repeat the experiment with a lower base, eg. pi in base 8:
Delete3.1103755242102643021514230630505600670163
all the notes fall within an octave.
Regardless of what base we use, the the probability of each digit seems to be independent of the preceding digit, ie they notes are independent. I think this pretty much rules it out of generating a complete melody, but there might be motifs in there which a human composer could take as inspiration.
Jez,
DeleteBase 8 males the notes fall within in octave (8th interval)! How interesting!
The Christian hymn "This Is My Father's World" mentions "the music of the spheres." I doubt, however, that the lyricist knew one whit about music fashioned from pi.
Interesting. Proof that infinity exists until it is unproven of course, if it can be.
ReplyDeleteWhat do you mean by "exists"?
DeleteFirst, can you prove that you are intelligent enough to ask irritating questions?
Delete... Robert Bruce Asquith
FT, to perceive how it's not merely irritating, ponder a simpler one: in what sense does "7" exist?
DeleteWhere to you find this stuff? BTW, PI day was Albert Einstein's birthday.
ReplyDeleteBob,
DeleteHello!
I found this particular video on Facebook. As a piano teacher and choir director in an elementary school, I network with several of my former students from years ago. One of these former students posted The Song of Pi! to my Facebook timeline.
Thanks for the reminder about Einstein's birthday. Quite the coincidence, huh?