Listening to a sequence!

[Alexandre Wajnberg]

Hi seqfans,

LISTEN!  To the personnality of these three sequences.
To paste at: http://musicalgorithms.ewu.edu/algorithms/import.html

Alexandre

-----------------------------------

1) A joyous ascent!
A000010 "Euler totient function phi(n): count numbers <= n and prime to n."

1 1 2 2 4 2 6 4 6 4 10 4 12 6 8 8 16 6 18 8 12 10 22 8 20 12 18 12 28 8 30
16 20 16 24 12 36 18 24 16 40 12 42 20 24 22 46 16 42 20 32 24 52 18 40 24
36 28 58 16 60 30 36 32 48 20 66 32 44
 
Settings:
scaling: *modulo* 15 to 88; duration: 0; instrument: electric piano Nr6;
tempo: full speed; 
 
------------------------------------

2) A haunting crescendo: A114925 "the walking base sequence"

The sequence with more terms:
0, 2, 3, 4, 5, 6, 7, 8, 9, 10, 2, 4, 6, 8, 10, 3, 5, 7, 9, 11, 2, 5, 8, 11,
3, 6, 9, 
12, 3, 7, 10, 4, 7, 11, 4, 8, 12, 4, 9, 13, 4, 10, 5, 9, 14, 5, 10, 6, 10,
7, 12, 5, 
11, 5, 12, 6, 11, 6, 12, 7, 13, 5, 13, 6, 13, 7, 14, 6, 14, 7, 15, 6, 15, 7,
16, 7, 
17, 8, 13, 8, 14, 8, 15, 8, 16, 8, 17, 9, 15, 9, 16, 9, 17, 10, 8, 18, 9,
18, 10, 9, 
19, 10, 10, 11, 7, 18, 11, 8, 19, 11, 9, 20, 3, 8, 20, 4, 11, 10, 12, 8, 21,
3, 9, 21, 
4, 12, 9, 22, 3, 10, 13, 9, 23, 4, 13, 10, 14, 9, 24, 5, 14, 10, 15, 10, 16,
10, 17, 
11, 11, 12, 10, 18, 12, 11, 13, 11, 14, 11, 15, 11, 16, 11, 17, 12, 12, 13,
12, 14, 
12, 15, 12, 16, 12, 17, 13, 13, 14, 13, 15, 13, 16, 13, 17, 14, 14, 15, 14,
16, 14, 
17, 15, 15, 16, 15, 17, 16, 16, 17, 17, 18, 13, 18, 14, 18, 15, 18, 16, 18,
17, 19, 
12, 18, 18, 19, 13, 19, 14, 19, 15, 19, 16, 19, 17, 20, 5, 15, 20, 6, 16,
20, 7, 19, 
18, 20, 8, 22, 4, 14, 20, 9, 25, 6, 17, 21, 5, 16, 21, 6, 18, 21, 7, 20, 10,
19, 19, 
20, 11, 18, 22, 5, 17, 22, 6, 19, 21, 8, 23, 5, 18, 23, 6, 20, 12, 19, 22,
7, 21, 9, 
26, 7, 22, 8, 24, 6, 21, 10, 20, 13, 20, 14, 21, 11, 19, 23, 7, 23, 8, 25,
7, 24, 7, 
25, 8, 26, 8, 27, 8, 28, 9, 27, 9, 28, 10, 21, 12, 20, 15, 21, 13, 21, 14,
22, 9, 29, 
10, 22, 10, 23, 9, 30, 4, 15, 22, 11, 20, 16, 22, 12, 21, 15, 23, 10, 24, 8,
29, 11, 
21, 16, 23, 11, 22, 13, 22, 14, 23, 12, 22, 15, 24, 9, 31, 4, 16, 24, 10,
25, 9, 32, 

settings: scaling: *modulo* 27 to 88; duration: 0; electric piano Nr6;
tempo: full speed

-------------------------------------

3) A slaloming cycle:
A112395 "Next term is the sum of the last 10 digits in the sequence".

The sequence with more terms (two loops):
0 0  0  0 0  0  0 0  0  1 1  2  4 8  16 23 28 37
44 40 37 42 38 39 43 46 46 50 44 40 37 37 37 42 40 40 34 31 25 26 30 29 33
35 36 37 44 41 40 36 36 35 35 38 45 45 45 46 48 49 53 52 50 45 42 35 35 36
40 35 37 39 43 41 42 40 34 29 33 34 35 39 44 41 40 37 39 39 43 45 50 45 42
36 38 40 39 42 42 39 40 40 32 31 29 28 34 37 42 44 41 36 38 39 45 46 51 48
49 50 46 46 50 43 37 42 38 39 46 49 52 53 50 43 40 31 28 30 28 31 31 31 25
29 30 29 36 41 39 40 41 35 34 36 33 35 38 41 39 42 42 40 33 34 29 34 35 39
45 47 47 51 49 50 46 45 43 44 39 46 46 47 51 49 50 45 44 41 40 31 30 24 22
21 20 18 24 24 26 31 33 30 27 30 25 28 32 34 32 34 34 31 30 26 29 33 32 33
36 37 36 39 46 50 46 46 47 46 46 51 47 48 49 52 49 56 56 55 52 52 46 45 43
40 37 40 34 32 30 29 30 29 33 34 38 38 46 45 48 53 50 44 42 39 39 43 45 46
50 43 38 42 39 41 41 39 40 38 37 42 43 38 45 43 40 38 42 37 38 42 44 41 40
34 30 27 28 33 35 36 42 39 41 40 36 36 39 39 46 52 50 46 44 40 34 34 36 35
35 39 44 45 45 46 48 48 52 50 46 46
44 40 37 42 38 39 43 46 46 50 44 40 37 37 37 42 40 40 34 31 25 26 30 29 33
35 36 37 44 41 40 36 36 35 35 38 45 45 45 46 48 49 53 52 50 45 42 35 35 36
40 35 37 39 43 41 42 40 34 29 33 34 35 39 44 41 40 37 39 39 43 45 50 45 42
36 38 40 39 42 42 39 40 40 32 31 29 28 34 37 42 44 41 36 38 39 45 46 51 48
49 50 46 46 50 43 37 42 38 39 46 49 52 53 50 43 40 31 28 30 28 31 31 31 25
29 30 29 36 41 39 40 41 35 34 36 33 35 38 41 39 42 42 40 33 34 29 34 35 39
45 47 47 51 49 50 46 45 43 44 39 46 46 47 51 49 50 45 44 41 40 31 30 24 22
21 20 18 24 24 26 31 33 30 27 30 25 28 32 34 32 34 34 31 30 26 29 33 32 33
36 37 36 39 46 50 46 46 47 46 46 51 47 48 49 52 49 56 56 55 52 52 46 45 43
40 37 40 34 32 30 29 30 29 33 34 38 38 46 45 48 53 50 44 42 39 39 43 45 46
50 43 38 42 39 41 41 39 40 38 37 42 43 38 45 43 40 38 42 37 38 42 44 41 40
34 30 27 28 33 35 36 42 39 41 40 36 36 39 39 46 52 50 46 44 40 34 34 36 35
35 39 44 45 45 46 48 48 52 50 46 46
 
settings: 
scaling: *modulo* 4 to 88; duration: 0; instrument: piano Nr 1; tempo: full
speed; 


























































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