So I hit my head in the bathroom while hanging a clock, but instead of creating a flux capacitor like Dr. Brown in Back To The Future I came up with this.
The end product will be a series of notes that are random using of the circle of tones. After it is created, I will try to make sense of the randomness by looking for triads, sequences or common intervals. First we have to establish the order of tones.
Using modular arithmetic we will restrict the sum of any two digits to the above series (0-11). Like military time where 13:00 is really 1pm, or 23:00 is 11pm. Modulus is a fancy was of saying divide two numbers and ignore everything except the remainder. So something like 17 mod 12 would be the same as saying 17/12 = 1 remainder 5, only use the 5. Or 23 mod 12 = 11, since 12 divides 23 once and has a remainder of 11.
Okay lets get some numbers. so I googled up 'lotto numbers' and found this from indystar.com.
Now lets make this into a form so that we can use the circle of twelve tones.
If you use windows open up the calculator and switch the view to scientific, there you can use the 'mod' key to make it easy. PUnch in 36 then hit the mod key and hit 12 then equals.
and of course 21 and 12
21 mod 12 = 1 -> C#
12 mod 12 = 0 -> C
Our notes C F# A F F# C D
Intervals : C to F# = augmented 4th (this is cool)
F# to A = minor third
A to F = minor sixth
You can gather up a set of 12 numbers then you can place them on a clock (which is a little weird since you start at 0). Now you can have some fun.
funniest thing ive seen in a long time :
YouTube - Metal By Numbers
The end product will be a series of notes that are random using of the circle of tones. After it is created, I will try to make sense of the randomness by looking for triads, sequences or common intervals. First we have to establish the order of tones.
Code:
notes : C C# D D# E F F# G G# A A# B
index : 0 1 2 3 4 5 6 7 8 9 10 11Using modular arithmetic we will restrict the sum of any two digits to the above series (0-11). Like military time where 13:00 is really 1pm, or 23:00 is 11pm. Modulus is a fancy was of saying divide two numbers and ignore everything except the remainder. So something like 17 mod 12 would be the same as saying 17/12 = 1 remainder 5, only use the 5. Or 23 mod 12 = 11, since 12 divides 23 once and has a remainder of 11.
Okay lets get some numbers. so I googled up 'lotto numbers' and found this from indystar.com.
Now lets make this into a form so that we can use the circle of twelve tones.
If you use windows open up the calculator and switch the view to scientific, there you can use the 'mod' key to make it easy. PUnch in 36 then hit the mod key and hit 12 then equals.
Code:
First number 36 -> 36 mod 12 = 0 => use the index and we have 'C'
Second number 42 -> 42 mod 12 = 6 => use the index and we have 'F#'
Third number 45 -> 45 mod 12 = 9 => A
Fourth number 53 -> 53 mod 12 = 5 => F
Fifth number 54 -> 54 mod 12 = 6 => F#
Sixth number 36 -> 36 mod 12 = 0 => C
Seventh number 2 -> 2 mod 12 = 2 => Dand of course 21 and 12
21 mod 12 = 1 -> C#
12 mod 12 = 0 -> C
Our notes C F# A F F# C D
Intervals : C to F# = augmented 4th (this is cool)
F# to A = minor third
A to F = minor sixth
You can gather up a set of 12 numbers then you can place them on a clock (which is a little weird since you start at 0). Now you can have some fun.
funniest thing ive seen in a long time :
YouTube - Metal By Numbers
