Φ Signature Sequence no. 2
Casey Mongoven
January 21, 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: 1483
orientation: descending
temperament: φ7 + 1
highest pitch: 1454 Hertz
lowest pitch: 150.4030996105 Hertz
length: 63.769 seconds
note value: .043 seconds
waveform: triangle 0° → square 0°
pan values: 20.72° → -20.72°
dynamic values: p → fff
starting attack: .005 seconds
attack roll-off: .00002 seconds
starting release: .008 seconds
release roll-off: .000032 seconds
values used:
# pitch in Hertz wave pan value dynamic attack release
1 1454.0000000000 triangle 0° 20.72° p .005000 .008000
2 1405.5889122535 20.10° .004980 .007968
3 1358.7896769256 m 19.48° c .004960 .007936
4 1313.5486272154 o 18.87° r .004940 .007904
5 1269.8138831635 r 18.25° e .004920 .007872
6 1227.5352921596 p 17.63° s .004900 .007840
7 1186.6643714301 h 17.01° c .004880 .007808
8 1147.1542524404 16.39° e .004860 .007776
9 1108.9596271490 ¦ 15.77° n .004840 .007744
10 1072.0366960505 ¦ 15.15° d .004820 .007712
11 1036.3431179487 ¦ 14.54° o .004800 .007680
12 1001.8379614023 ¦ 13.92° .004780 .007648
13 968.4816577865 ¦ 13.30° ¦ .004760 .007616
14 936.2359559186 ¦ 12.68° ¦ .004740 .007584
15 905.0638781927 ¦ 12.06° ¦ .004720 .007552
16 874.9296781766 ¦ 11.44° ¦ .004700 .007520
17 845.7987996193 ¦ 10.82° ¦ .004680 .007488
18 817.6378368241 ¦ 10.21° ¦ .004660 .007456
19 790.4144963403 ¦ 9.59° ¦ .004640 .007424
20 764.0975599315 ¦ 8.97° ¦ .004620 .007392
21 738.6568487755 ¦ 8.35° ¦ .004600 .007360
22 714.0631888576 ¦ 7.73° ¦ .004580 .007328
23 690.2883775149 ¦ 7.11° ¦ .004560 .007296
24 667.3051510951 ¦ 6.49° ¦ .004540 .007264
25 645.0871536925 ¦ 5.88° ¦ .004520 .007232
26 623.6089069239 ¦ 5.26° ¦ .004500 .007200
27 602.8457807117 ¦ 4.64° ¦ .004480 .007168
28 582.7739650393 ¦ 4.02° ¦ .004460 .007136
29 563.3704426473 ¦ 3.40° ¦ .004440 .007104
30 544.6129626385 ¦ 2.78° ¦ .004420 .007072
31 526.4800149616 ¦ 2.16° ¦ .004400 .007040
32 508.9508057449 ¦ 1.55° ¦ .004380 .007008
33 492.0052334508 ¦ .93° ¦ .004360 .006976
34 475.6238658247 ¦ .31° ¦ .004340 .006944
35 459.7879176110 ¦ -.31° ¦ .004320 .006912
36 444.4792290111 ¦ -.93° ¦ .004300 .006880
37 429.6802448590 ¦ -1.55° ¦ .004280 .006848
38 415.3739944898 ¦ -2.16° ¦ .004260 .006816
39 401.5440722787 ¦ -2.78° ¦ .004240 .006784
40 388.1746188281 ¦ -3.40° ¦ .004220 .006752
41 375.2503027806 ¦ -4.02° ¦ .004200 .006720
42 362.7563032381 ¦ -4.64° ¦ .004180 .006688
43 350.6782927658 ¦ -5.26° ¦ .004160 .006656
44 339.0024209626 ¦ -5.88° ¦ .004140 .006624
45 327.7152985778 ¦ -6.49° ¦ .004120 .006592
46 316.8039821574 ¦ -7.11° ¦ .004100 .00656
47 306.2559592009 ¦ -7.73° ¦ .004080 .006528
48 296.0591338132 ¦ -8.35° ¦ .004060 .006496
49 286.2018128330 ¦ -8.97° ¦ .004040 .006464
50 276.6726924243 ¦ -9.59° ¦ .004020 .006432
51 267.4608451134 ¦ -10.21° ¦ .004000 .006400
52 258.5557072581 ¦ -10.82° ¦ .003980 .006368
53 249.9470669339 ¦ -11.44° ¦ .003960 .006336
54 241.6250522232 ¦ -12.06° ¦ .003940 .006304
55 233.5801198952 ¦ -12.68° ¦ .003920 .006272
56 225.8030444618 ¦ -13.30° ¦ .003900 .006240
57 218.2849075988 ¦ -13.92° ¦ .003880 .006208
58 211.0170879182 ¦ -14.54° ¦ .003860 .006176
59 203.9912510825 ¦ -15.15° ¦ .003840 .006144
60 197.1993402464 ¦ -15.77° ¦ .003820 .006112
61 190.6335668184 ¦ -16.39° ¦ .003800 .006080
62 184.2864015291 ¦ -17.01° ¦ .003780 .006048
63 178.1505657967 ¦ -17.63° ¦ .003760 .006016
64 172.2190233807 ¦ -18.25° ¦ .003740 .005984
65 166.4849723129 ¦ -18.87° ¦ .003720 .005952
66 160.9418370976 ¦ -19.48° ¦ .003700 .005920
67 155.5832611706 -20.10° .003680 .005888
68 150.4030996105 square 0° -20.72° fff .003660 .005856
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
graph:
