Φ
Signature Sequence no. 5
Casey Mongoven
May 28, 2005
description of sequence: Arranging the numbers s + jΦ (s,j ≥ 1) in increasing order, the
sequence of s’s is the signature sequence of Φ.
number of
members in sequence used: 1928
orientation:
ascending
temperament: φ11
+ 1
lowest pitch:
1088.5 Hertz
highest pitch:
1601.2052078838 Hertz
length: 130.14
seconds
note value:
.0675 seconds
waveform: triangle
0°
pan: 25° → -25°
dynamic
values: f → ff
starting
attack: .005 seconds
attack
roll-off: .000025 seconds
starting
release: .008 seconds
release
roll-off: .000032 seconds
values used:
# pitch
in Hertz s.s.l. dynamic attack release
1
1088.5000000000 25°
f .005000 .008000
2
1093.9697111292
.004975 .007968
3
1099.4669075499
¦ c
.004950 .007936
4
1104.9917273757
¦ r
.004925 .007904
5
1110.5443094142
¦ e
.004900 .007872
6 1116.1247931704
¦ s
.004875 .007840
7
1121.7333188505
¦ c
.004850 .007808
8
1127.3700273651
¦ e
.004825 .007776
9
1133.0350603328
¦ n
.004800 .007744
10
1138.7285600841 ¦
d .004775 .007712
11
1144.4506696645
¦ o
.004750 .007680
12
1150.2015328383
¦
.004725 .007648
13
1155.9812940923
¦ ¦ .004700
.007616
14
1161.7900986393
¦ ¦ .004675
.007584
15
1167.6280924218
¦ ¦ .004650
.007552
16
1173.4954221158
¦ ¦ .004625
.007520
17
1179.3922351341
¦ ¦ .004600
.007488
18
1185.3186796303
¦ ¦ .004575
.007456
19 1191.2749045027
¦ ¦ .004550
.007424
20
1197.2610593976
¦ ¦ .004525
.007392
21
1203.2772947133
¦ ¦ .004500
.007360
22
1209.3237616039
¦ ¦ .004475
.007328
23
1215.4006119830
¦ ¦ .004450
.007296
24
1221.5079985276
¦ ¦ .004425
.007264
25
1227.6460746818
¦ ¦ .004400
.007232
26
1233.8149946611
¦ ¦
.004375 .007200
27
1240.0149134554
¦ ¦ .004350
.007168
28 1246.2459868339
¦ ¦ .004325
.007136
29
1252.5083713483
¦ ¦ .004300
.007104
30
1258.8022243370
¦ ¦ .004275
.007072
31
1265.1277039290
¦ ¦ .004250
.007040
32
1271.4849690480
¦ ¦ .004225
.007008
33
1277.8741794162
¦ ¦ .004200
.006976
34
1284.2954955584
¦ ¦ .004175
.006944
35
1290.7490788062
¦ ¦ .004150
.006912
36
1297.2350913017
¦ ¦ .004125
.006880
37
1303.7536960018
¦ ¦ .004100
.006848
38
1310.3050566823
¦ ¦ .004075
.006816
39
1316.8893379420
¦ ¦ .004050
.006784
40
1323.5067052067
¦ ¦ .004025
.006752
41
1330.1573247336
¦ ¦ .004000
.006720
42
1336.8413636153
¦ ¦ .003975
.006688
43
1343.5589897839
¦ ¦ .003950
.006656
44
1350.3103720155
¦ ¦ .003925
.006624
45
1357.0956799344
¦ ¦ .003900
.006592
46
1363.9150840170
¦ ¦ .003875
.006560
47
1370.7687555965
¦ ¦ .003850
.006528
48
1377.6568668671
¦ ¦ .003825
.006496
49
1384.5795908881
¦ ¦ .003800
.006464
50 1391.5371015887
¦ ¦ .003775
.006432
51
1398.5295737717
¦ ¦ .003750
.006400
52
1405.5571831187
¦ ¦ .003725
.006368
53
1412.6201061937
¦ ¦ .003700
.006336
54
1419.7185204484
¦ ¦ .003675
.006304
55
1426.8526042257
¦ ¦ .003650
.006272
56
1434.0225367650
¦ ¦ .003625
.006240
57
1441.2284982063
¦ ¦ .003600
.006208
58
1448.4706695947
¦ ¦ .003575
.006176
59
1455.7492328853
¦ ¦
.003550 .006144
60
1463.0643709473
¦ ¦ .003525
.006112
61
1470.4162675687
¦ ¦ .003500
.006080
62
1477.8051074615
¦ ¦ .003475
.006048
63
1485.2310762654 ¦
¦ .003450 .006016
64
1492.6943605532
¦ ¦ .003425
.005984
65
1500.1951478351
¦ ¦ .003400
.005952
66
1507.7336265637
¦ ¦ .003375
.005920
67
1515.3099861384
¦ ¦ .003350
.005888
68
1522.9244169105
¦ ¦ .003325
.005856
69
1530.5771101875
¦ ¦ .003300
.005824
70
1538.2682582387
¦ ¦ .003275
.005792
71
1545.9980542991
¦ ¦ .003250
.005760
72 1553.7666925750
¦ ¦ .003225
.005728
73
1561.5743682484
¦ ¦ .003200
.005696
74
1569.4212774823
¦ ¦ .003175
.005664
75
1577.3076174252
¦ ¦ .003150
.005632
76
1585.2335862163
¦ ¦ .003125
.005600
77
1593.1993829907
.003100 .005568
78
1601.2052078838 -25°
ff .003075 .005536
sequence values:
1 2 1 3 2 4 1 3 5
2 4 1 6 3 5 2 7 4 1 6 3 8 5 2 7 4 9 1 6 3 8 5 10 2 7 4 9 1 6 11 3 8 5 10 2 7 12
4 9 1 6 11 3 8 13 5 10 2 7 12 4 9 1 14 6 11 3 8 13 5 10 2 15 7 12 4 9 1 14 6 11
3 16 8 13 5 10 2 15 7 12 4 17 9 1 14 6 11 3 16 8 13 5 18 10 2 15 7 12 4 17 9 1
14 6 19 11 3 16 8 13 5 18 10 2 15 7 20 12 4 17 9 1 14 6 19 11 3 16 8 21 13 5 18
10 2 15 7 20 12 4 17 9 22 1 14 6 19 11 3 16 8 21 13 5 18 10 23 2 15 7 20 12 4
17 9 22 1 14 6 19 11 24 3 16 8 21 13 5 18 10 23 2 15 7 20 12 25 4 17 9 22 1 14
6 19 11 24 3 16 8 21 13 26 5 18 10 23 2 15 7 20 12 25 4 17 9 22 1 14 27 6 19 11
24 3 16 8 21 13 26 5 18 10 23 2 15 28 7 20 12 25 4 17 9 22 1 14 27 6 19 11 24 3
16 29 8 21 13 26 5 18 10 23 2 15 28 7 20 12 25 4 17 30 9 22 1 14 27 6 19 11 24
3 16 29 8 21 13 26 5 18 31 10 23 2 15 28 7 20 12 25 4 17 30 9 22 1 14 27 6 19
32 11 24 3 16 29 8 21 13 26 5 18 31 10 23 2 15 28 7 20 33 12 25 4 17 30 9 22 1
14 27 6 19 32 11 24 3 16 29 8 21 34 13 26 5 18 31 10 23 2 15 28 7 20 33 12 25 4
17 30 9 22 1 35 14 27 6 19 32 11 24 3 16 29 8 21 34 13 26 5 18 31 10 23 2 36 15
28 7 20 33 12 25 4 17 30 9 22 1 35 14 27 6 19 32 11 24 3 37 16 29 8 21 34 13 26
5 18 31 10 23 2 36 15 28 7 20 33 12 25 4 38 17 30 9 22 1 35 14 27 6 19 32 11 24
3 37 16 29 8 21 34 13 26 5 39 18 31 10 23 2 36 15 28 7 20 33 12 25 4 38 17 30 9
22 1 35 14 27 6 40 19 32 11 24 3 37 16 29 8 21 34 13 26 5 39 18 31 10 23 2 36
15 28 7 41 20 33 12 25 4 38 17 30 9 22 1 35 14 27 6 40 19 32 11 24 3 37 16 29 8
42 21 34 13 26 5 39 18 31 10 23 2 36 15 28 7 41 20 33 12 25 4 38 17 30 9 43 22
1 35 14 27 6 40 19 32 11 24 3 37 16 29 8 42 21 34 13 26 5 39 18 31 10 44 23 2
36 15 28 7 41 20 33 12 25 4 38 17 30 9 43 22 1 35 14 27 6 40 19 32 11 45 24 3
37 16 29 8 42 21 34 13 26 5 39 18 31 10 44 23 2 36 15 28 7 41 20 33 12 46 25 4
38 17 30 9 43 22 1 35 14 27 6 40 19 32 11 45 24 3 37 16 29 8 42 21 34 13 47 26
5 39 18 31 10 44 23 2 36 15 28 7 41 20 33 12 46 25 4 38 17 30 9 43 22 1 35 14
48 27 6 40 19 32 11 45 24 3 37 16 29 8 42 21 34 13 47 26 5 39 18 31 10 44 23 2
36 15 49 28 7 41 20 33 12 46 25 4 38 17 30 9 43 22 1 35 14 48 27 6 40 19 32 11
45 24 3 37 16 50 29 8 42 21 34 13 47 26 5 39 18 31 10 44 23 2 36 15 49 28 7 41
20 33 12 46 25 4 38 17 51 30 9 43 22 1 35 14 48 27 6 40 19 32 11 45 24 3 37 16
50 29 8 42 21 34 13 47 26 5 39 18 52 31 10 44 23 2 36 15 49 28 7 41 20 33 12 46
25 4 38 17 51 30 9 43 22 1 35 14 48 27 6 40 19 53 32 11 45 24 3 37 16 50 29 8
42 21 34 13 47 26 5 39 18 52 31 10 44 23 2 36 15 49 28 7 41 20 54 33 12 46 25 4
38 17 51 30 9 43 22 1 35 14 48 27 6 40 19 53 32 11 45 24 3 37 16 50 29 8 42 21
55 34 13 47 26 5 39 18 52 31 10 44 23 2 36 15 49 28 7 41 20 54 33 12 46 25 4 38
17 51 30 9 43 22 56 1 35 14 48 27 6 40 19 53 32 11 45 24 3 37 16 50 29 8 42 21
55 34 13 47 26 5 39 18 52 31 10 44 23 57 2 36 15 49 28 7 41 20 54 33 12 46 25 4
38 17 51 30 9 43 22 56 1 35 14 48 27 6 40 19 53 32 11 45 24 58 3 37 16 50 29 8
42 21 55 34 13 47 26 5 39 18 52 31 10 44 23 57 2 36 15 49 28 7 41 20 54 33 12
46 25 59 4 38 17 51 30 9 43 22 56 1 35 14 48 27 6 40 19 53 32 11 45 24 58 3 37
16 50 29 8 42 21 55 34 13 47 26 60 5 39 18 52 31 10 44 23 57 2 36 15 49 28 7 41
20 54 33 12 46 25 59 4 38 17 51 30 9 43 22 56 1 35 14 48 27 61 6 40 19 53 32 11
45 24 58 3 37 16 50 29 8 42 21 55 34 13 47 26 60 5 39 18 52 31 10 44 23 57 2 36
15 49 28 62 7 41 20 54 33 12 46 25 59 4 38 17 51 30 9 43 22 56 1 35 14 48 27 61
6 40 19 53 32 11 45 24 58 3 37 16 50 29 63 8 42 21 55 34 13 47 26 60 5 39 18 52
31 10 44 23 57 2 36 15 49 28 62 7 41 20 54 33 12 46 25 59 4 38 17 51 30 64 9 43
22 56 1 35 14 48 27 61 6 40 19 53 32 11 45 24 58 3 37 16 50 29 63 8 42 21 55 34
13 47 26 60 5 39 18 52 31 65 10 44 23 57 2 36 15 49 28 62 7 41 20 54 33 12 46
25 59 4 38 17 51 30 64 9 43 22 56 1 35 14 48 27 61 6 40 19 53 32 66 11 45 24 58
3 37 16 50 29 63 8 42 21 55 34 13 47 26 60 5 39 18 52 31 65 10 44 23 57 2 36 15
49 28 62 7 41 20 54 33 67 12 46 25 59 4 38 17 51 30 64 9 43 22 56 1 35 14 48 27
61 6 40 19 53 32 66 11 45 24 58 3 37 16 50 29 63 8 42 21 55 34 68 13 47 26 60 5
39 18 52 31 65 10 44 23 57 2 36 15 49 28 62 7 41 20 54 33 67 12 46 25 59 4 38
17 51 30 64 9 43 22 56 1 35 69 14 48 27 61 6 40 19 53 32 66 11 45 24 58 3 37 16
50 29 63 8 42 21 55 34 68 13 47 26 60 5 39 18 52 31 65 10 44 23 57 2 36 70 15
49 28 62 7 41 20 54 33 67 12 46 25 59 4 38 17 51 30 64 9 43 22 56 1 35 69 14 48
27 61 6 40 19 53 32 66 11 45 24 58 3 37 71 16 50 29 63 8 42 21 55 34 68 13 47
26 60 5 39 18 52 31 65 10 44 23 57 2 36 70 15 49 28 62 7 41 20 54 33 67 12 46
25 59 4 38 72 17 51 30 64 9 43 22 56 1 35 69 14 48 27 61 6 40 19 53 32 66 11 45
24 58 3 37 71 16 50 29 63 8 42 21 55 34 68 13 47 26 60 5 39 73 18 52 31 65 10
44 23 57 2 36 70 15 49 28 62 7 41 20 54 33 67 12 46 25 59 4 38 72 17 51 30 64 9
43 22 56 1 35 69 14 48 27 61 6 40 74 19 53 32 66 11 45 24 58 3 37 71 16 50 29
63 8 42 21 55 34 68 13 47 26 60 5 39 73 18 52 31 65 10 44 23 57 2 36 70 15 49
28 62 7 41 75 20 54 33 67 12 46 25 59 4 38 72 17 51 30 64 9 43 22 56 1 35 69 14
48 27 61 6 40 74 19 53 32 66 11 45 24 58 3 37 71 16 50 29 63 8 42 76 21 55 34
68 13 47 26 60 5 39 73 18 52 31 65 10 44 23 57 2 36 70 15 49 28 62 7 41 75 20
54 33 67 12 46 25 59 4 38 72 17 51 30 64 9 43 77 22 56 1 35 69 14 48 27 61 6 40
74 19 53 32 66 11 45 24 58 3 37 71 16 50 29 63 8 42 76 21 55 34 68 13 47 26 60
5 39 73 18 52 31 65 10 44 78 23 57 2 36 70 15 49 28 62 7 41 75 20 54 33 67 12
46 25 59 4 38 72 17 51 30 64 9 43 77 22 56 1
graph:
-Dateien/image002.jpg)
letzte
Partitur nächste Partitur
Verzeichniseintrag zu diesem Werk