Collection IV

φ Signature Sequence no. 13

Casey Mongoven

November 11, 2006

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 Catalogue Entry B448 & Files
Parameters   Sequence Values & Graph
description of sequence: Arranging the numbers s + jφ in increasing order, s and j being positive integers, the sequence of s's is the signature sequence of φ. φ is equal to (-1 + sqrt(5))/2.
offset: 1
number of members used: 2577
piece length: 121.119 seconds
note value: .047 seconds
orientation: descending
temperament: phi^6 + 1
lowest frequency: 115.2437 Hz    highest frequency: 2275.000 Hz
number of unique frequencies: 56
wave: triangle to square
dynamic: fff to mp
simulated spatial location: 25° to -25°
attack: .0055    roll off to: .006
release: .0089    roll off to: .0097
integer      frequency      wave      dynamic      s.s.l.      attack      release      n.o.     
1      2275.000      triangle      fff      25°      .005500      .008900      91     
2      2154.911      triangle*.98182,square*.01818      fff-      24.09°      .005509      .008915      89     
3      2041.161      triangle*.96364,square*.03636      fff-      23.18°      .005518      .008929      87     
4      1933.415      triangle*.94545,square*.05455      fff-      22.27°      .005527      .008944      86     
5      1831.357      triangle*.92727,square*.07273      fff-      21.36°      .005536      .008958      84     
6      1734.687      triangle*.90909,square*.09091      fff-      20.45°      .005545      .008973      82     
7      1643.119      triangle*.89091,square*.10909      fff-      19.55°      .005555      .008987      81     
8      1556.384      triangle*.87273,square*.12727      ff+      18.64°      .005564      .009002      79     
9      1474.228      triangle*.85455,square*.14545      ff+      17.73°      .005573      .009016      78     
10      1396.409      triangle*.83636,square*.16364      ff+      16.82°      .005582      .009031      76     
11      1322.698      triangle*.81818,square*.18182      ff+      15.91°      .005591      .009045      74     
12      1252.877      triangle*.80000,square*.20000      ff+      15.00°      .005600      .009060      73     
13      1186.742      triangle*.78182,square*.21818      ff+      14.09°      .005609      .009075      71     
14      1124.099      triangle*.76364,square*.23636      ff+      13.18°      .005618      .009089      69     
15      1064.761      triangle*.74545,square*.25455      ff-      12.27°      .005627      .009104      68     
16      1008.557      triangle*.72727,square*.27273      ff-      11.36°      .005636      .009118      66     
17      955.3185      triangle*.70909,square*.29091      ff-      10.45°      .005645      .009133      65     
18      904.8906      triangle*.69091,square*.30909      ff-      9.55°      .005655      .009147      63     
19      857.1247      triangle*.67273,square*.32727      ff-      8.64°      .005664      .009162      61     
20      811.8802      triangle*.65455,square*.34545      ff-      7.73°      .005673      .009176      60     
21      769.0239      triangle*.63636,square*.36364      ff-      6.82°      .005682      .009191      58     
22      728.4299      triangle*.61818,square*.38182      f+      5.91°      .005691      .009205      57     
23      689.9787      triangle*.60000,square*.40000      f+      5.00°      .005700      .009220      55     
24      653.5572      triangle*.58182,square*.41818      f+      4.09°      .005709      .009235      53     
25      619.0583      triangle*.56364,square*.43636      f+      3.18°      .005718      .009249      52     
26      586.3804      triangle*.54545,square*.45455      f+      2.27°      .005727      .009264      50     
27      555.4275      triangle*.52727,square*.47273      f+      1.36°      .005736      .009278      48     
28      526.1085      triangle*.50909,square*.49091      f+      .45°      .005745      .009293      47     
29      498.3371      triangle*.49091,square*.50909      f-      -.45°      .005755      .009307      45     
30      472.0317      triangle*.47273,square*.52727      f-      -1.36°      .005764      .009322      44     
31      447.1148      triangle*.45455,square*.54545      f-      -2.27°      .005773      .009336      42     
32      423.5133      triangle*.43636,square*.56364      f-      -3.18°      .005782      .009351      40     
33      401.1575      triangle*.41818,square*.58182      f-      -4.09°      .005791      .009365      39     
34      379.9819      triangle*.40000,square*.60000      f-      -5.00°      .005800      .009380      37     
35      359.9240      triangle*.38182,square*.61818      f-      -5.91°      .005809      .009395      35     
36      340.9249      triangle*.36364,square*.63636      mf+      -6.82°      .005818      .009409      34     
37      322.9287      triangle*.34545,square*.65455      mf+      -7.73°      .005827      .009424      32     
38      305.8824      triangle*.32727,square*.67273      mf+      -8.64°      .005836      .009438      31     
39      289.7360      triangle*.30909,square*.69091      mf+      -9.55°      .005845      .009453      29     
40      274.4419      triangle*.29091,square*.70909      mf+      -10.45°      .005855      .009467      27     
41      259.9551      triangle*.27273,square*.72727      mf+      -11.36°      .005864      .009482      26     
42      246.2330      triangle*.25455,square*.74545      mf+      -12.27°      .005873      .009496      24     
43      233.2352      triangle*.23636,square*.76364      mf-      -13.18°      .005882      .009511      23     
44      220.9236      triangle*.21818,square*.78182      mf-      -14.09°      .005891      .009525      21     
45      209.2618      triangle*.20000,square*.80000      mf-      -15.00°      .005900      .009540      19     
46      198.2156      triangle*.18182,square*.81818      mf-      -15.91°      .005909      .009555      18     
47      187.7526      triangle*.16364,square*.83636      mf-      -16.82°      .005918      .009569      16     
48      177.8418      triangle*.14545,square*.85455      mf-      -17.73°      .005927      .009584      14     
49      168.4541      triangle*.12727,square*.87273      mf-      -18.64°      .005936      .009598      13     
50      159.5621      triangle*.10909,square*.89091      mp+      -19.55°      .005945      .009613      11     
51      151.1393      triangle*.09091,square*.90909      mp+      -20.45°      .005955      .009627      10     
52      143.1612      triangle*.07273,square*.92727      mp+      -21.36°      .005964      .009642      8     
53      135.6043      triangle*.05455,square*.94545      mp+      -22.27°      .005973      .009656      6     
54      128.4462      triangle*.03636,square*.96364      mp+      -23.18°      .005982      .009671      5     
55      121.6660      triangle*.01818,square*.98182      mp+      -24.09°      .005991      .009685      3     
56      115.2437      square      mp      -25°      .006000      .009700      2