--------- Albrecht said: -------
The Fractal Rhythm is a completely new System, Hal has analyzed it for me, maybe he will supply his findings in understandable words. Thank You, Hal !
I will try. The wheels inside Albrecht's head have been turning and turning, and have created a very interesting rhythm pattern for his current music. His rhythm is designed to *not* have the rhythmic patterns of the ten voices repeat for a *very* long time. If the format of the table below gets mangled by the email systems, here's a link to a screencap of the correctly formatted table: http://tinyurl.com/Albrechts-rhythms-screencap The numeric value of each digit represents how long each drum's note lasts. (The number of beats it will play for.) And they all play at the same rate. (The same number of beats per minute.) Read below, and you will see that it will be a very long time before all 10 voices repeat the exact same sequence together! Here are Albrecht's 10 channels with the length of time that a note is played, listed in sequence: I've done some rudimentary counting and adding and discovered the numeric basis for his claiming a (close to) infinite variation. "nNotes" is the count of the # of notes (digits) defined for that channel. "sum" is the sum of the digits -- the number of beats -- that a note will play. A quick look will show that Albrecht has a nifty pattern crafted into the rhythms. DR1=111312114221124312213112 . . . . . . . . . sum = 43 nNotes = 24 DR2=11111312114221124312213112 . . . . . . . sum = 45 nNotes = 26 DR3=1111111312114221124312213112 . . . . . sum = 47 nNotes = 28 DR4=111111111312114221124312213112 . . . sum = 49 nNotes = 30 DR5=11111111111312114221124312213112 . sum = 51 nNotes = 32 DR6=11312114221124312213112 . . . . . . . . . . .sum = 42 nNotes = 23 DR7=1111312114221124312213112 . . . . . . . . .sum = 44 nNotes = 25 DR8=111111312114221124312213112 . . . . . . .sum = 46 nNotes = 27 DR9=11111111312114221124312213112 . . . . .sum = 48 nNotes = 29 DR10=1111111111312114221124312213112 . .sum = 50 nNotes = 31 The number of "beats" that will be played before the group of drum voices repeats, looks like it might be: - - - nBeats = 43x45x47x49x51 x 42x44x46x48x50 = - - - 227,271,555 x 204,019,200 = - - - 4.6367760833856e x (10)^16 beats! I initially didn't understand Albrecht's statement: . . . . "All pairs have the same amount of notes" : If each digit represents a note, then when I counted the number of digits in each drum's rhythm, no two drums had the same number of notes (my "nNotes" column above)… There was something I didn't understand about "same amount of notes"... Albrecht explained that phrase to me as follows: ===== The pairs with adjacent phases, for instance, phase 9 plus phase 10 Channel 1 and channel 10, always have a sum of 55 notes, 24 plus 31. That´s necessary to keep the basic rhythm. The new thing about this shifting rhythm is that for instance bass notes shift with high pitch notes or even with drums. ===== Thus, Albrecht has: DR1 nNotes + DR10 nNotes = 24 + 31 = 55 DR2 nNotes + DR9 nNotes = 26 + 29 = 55 DR3 nNotes + DR8 nNotes = 28 + 27 = 55 DR4 nNotes + DR7 nNotes = 30 + 25 = 55 DR5 nNotes + DR6 nNotes = 22 + 23 = 55 He also has different phasing of his channels. I don't understand how this are specified. Any errors in the analysis are mine, not Albrecht's. I've had fun looking at Albrecht's rhythms! - Hal Lane ######################## # hallane@earthlink.net ######################## --- This email has been checked for viruses by Avast antivirus software. https://www.avast.com/antivirus