Collection IV

φ Signature Sequence no. 15

Casey Mongoven

January 29, 2007

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Catalogue Entry B481 & Files
Parameters   Sequence Values & Graph
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. φ is equal to (-1 + sqrt(5))/2.
offset: 1
number of members used: 1124
piece length: 69.688 seconds
note value: .062 seconds
orientation: descending
temperament: phi^8 + 1
lowest frequency: 824.5242 Hz    highest frequency: 1760.000 Hz
number of unique frequencies: 37
wave: square to triangle
dynamic: f to ff
simulated spatial location: -23° to 23°
attack: .0063
release: .0102
integer      frequency      wave      dynamic      s.s.l.      n.o.     
1      1760.000      square      f      -23°      60     
2      1723.317      square*.97222,triangle*.02778      f+      -21.72°      58     
3      1687.399      square*.94444,triangle*.05556      f+      -20.44°      56     
4      1652.229      square*.91667,triangle*.08333      f+      -19.17°      55     
5      1617.792      square*.88889,triangle*.11111      f+      -17.89°      53     
6      1584.073      square*.86111,triangle*.13889      f+      -16.61°      51     
7      1551.057      square*.83333,triangle*.16667      f+      -15.33°      50     
8      1518.729      square*.80556,triangle*.19444      f+      -14.06°      48     
9      1487.075      square*.77778,triangle*.22222      f+      -12.78°      47     
10      1456.080      square*.75000,triangle*.25000      f+      -11.50°      45     
11      1425.732      square*.72222,triangle*.27778      f+      -10.22°      43     
12      1396.016      square*.69444,triangle*.30556      f+      -8.94°      42     
13      1366.919      square*.66667,triangle*.33333      f+      -7.67°      40     
14      1338.429      square*.63889,triangle*.36111      f+      -6.39°      38     
15      1310.533      square*.61111,triangle*.38889      f+      -5.11°      37     
16      1283.218      square*.58333,triangle*.41667      f+      -3.83°      35     
17      1256.473      square*.55556,triangle*.44444      f+      -2.56°      34     
18      1230.284      square*.52778,triangle*.47222      f+      -1.28°      32     
19      1204.642      square*.50000,triangle*.50000      ff-      .00°      30     
20      1179.534      square*.47222,triangle*.52778      ff-      1.28°      29     
21      1154.950      square*.44444,triangle*.55556      ff-      2.56°      27     
22      1130.878      square*.41667,triangle*.58333      ff-      3.83°      26     
23      1107.307      square*.38889,triangle*.61111      ff-      5.11°      24     
24      1084.228      square*.36111,triangle*.63889      ff-      6.39°      22     
25      1061.630      square*.33333,triangle*.66667      ff-      7.67°      21     
26      1039.503      square*.30556,triangle*.69444      ff-      8.94°      19     
27      1017.837      square*.27778,triangle*.72222      ff-      10.22°      17     
28      996.6226      square*.25000,triangle*.75000      ff-      11.50°      16     
29      975.8504      square*.22222,triangle*.77778      ff-      12.78°      14     
30      955.5112      square*.19444,triangle*.80556      ff-      14.06°      13     
31      935.5959      square*.16667,triangle*.83333      ff-      15.33°      11     
32      916.0956      square*.13889,triangle*.86111      ff-      16.61°      9     
33      897.0019      square*.11111,triangle*.88889      ff-      17.89°      8     
34      878.3060      square*.08333,triangle*.91667      ff-      19.17°      6     
35      859.9999      square*.05556,triangle*.94444      ff-      20.44°      4     
36      842.0752      square*.02778,triangle*.97222      ff-      21.72°      3     
37      824.5242      triangle      ff      23°      1