Collection IV

Φ Signature Sequence no. 14

Casey Mongoven

August 18, 2006

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 Catalogue Entry B418 & 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: 1698
piece length: 79.806 seconds
note value: .047 seconds
orientation: ascending
temperament: phi^6 + 1
lowest frequency: 148.0000 Hz    highest frequency: 7345.329 Hz
number of unique frequencies: 73
wave: square to sine
dynamic: pp to f
simulated spatial location: -26° to 26°
attack: .0055    roll off to: .0034
release: .0089    roll off to: .0055
integer      frequency      wave      dynamic      s.s.l.      attack      release      n.o.     
1      148.0000      square      pp      -26°      .005500      .008900      46     
2      156.2478      square*.98611,sine*.01389      pp+      -25.28°      .005471      .008853      45     
3      164.9551      square*.97222,sine*.02778      pp+      -24.56°      .005442      .008806      44     
4      174.1478      square*.95833,sine*.04167      pp+      -23.83°      .005412      .008758      44     
5      183.8527      square*.94444,sine*.05556      pp+      -23.11°      .005383      .008711      43     
6      194.0985      square*.93056,sine*.06944      pp+      -22.39°      .005354      .008664      42     
7      204.9152      square*.91667,sine*.08333      pp+      -21.67°      .005325      .008617      42     
8      216.3347      square*.90278,sine*.09722      pp+      -20.94°      .005296      .008569      41     
9      228.3907      square*.88889,sine*.11111      pp+      -20.22°      .005267      .008522      41     
10      241.1184      square*.87500,sine*.12500      p-      -19.50°      .005237      .008475      40     
11      254.5555      square*.86111,sine*.13889      p-      -18.78°      .005208      .008428      39     
12      268.7414      square*.84722,sine*.15278      p-      -18.06°      .005179      .008381      39     
13      283.7178      square*.83333,sine*.16667      p-      -17.33°      .005150      .008333      38     
14      299.5289      square*.81944,sine*.18056      p-      -16.61°      .005121      .008286      37     
15      316.2211      square*.80556,sine*.19444      p-      -15.89°      .005092      .008239      37     
16      333.8435      square*.79167,sine*.20833      p-      -15.17°      .005062      .008192      36     
17      352.4479      square*.77778,sine*.22222      p-      -14.44°      .005033      .008144      36     
18      372.0892      square*.76389,sine*.23611      p-      -13.72°      .005004      .008097      35     
19      392.8250      square*.75000,sine*.25000      p      -13.00°      .004975      .008050      34     
20      414.7164      square*.73611,sine*.26389      p+      -12.28°      .004946      .008003      34     
21      437.8277      square*.72222,sine*.27778      p+      -11.56°      .004917      .007956      33     
22      462.2270      square*.70833,sine*.29167      p+      -10.83°      .004887      .007908      33     
23      487.9861      square*.69444,sine*.30556      p+      -10.11°      .004858      .007861      32     
24      515.1806      square*.68056,sine*.31944      p+      -9.39°      .004829      .007814      31     
25      543.8906      square*.66667,sine*.33333      p+      -8.67°      .004800      .007767      31     
26      574.2006      square*.65278,sine*.34722      p+      -7.94°      .004771      .007719      30     
27      606.1997      square*.63889,sine*.36111      p+      -7.22°      .004742      .007672      29     
28      639.9821      square*.62500,sine*.37500      mp-      -6.50°      .004712      .007625      29     
29      675.6470      square*.61111,sine*.38889      mp-      -5.78°      .004683      .007578      28     
30      713.2996      square*.59722,sine*.40278      mp-      -5.06°      .004654      .007531      28     
31      753.0504      square*.58333,sine*.41667      mp-      -4.33°      .004625      .007483      27     
32      795.0164      square*.56944,sine*.43056      mp-      -3.61°      .004596      .007436      26     
33      839.3212      square*.55556,sine*.44444      mp-      -2.89°      .004567      .007389      26     
34      886.0949      square*.54167,sine*.45833      mp-      -2.17°      .004537      .007342      25     
35      935.4753      square*.52778,sine*.47222      mp-      -1.44°      .004508      .007294      24     
36      987.6076      square*.51389,sine*.48611      mp-      -.72°      .004479      .007247      24     
37      1042.645      square*.50000,sine*.50000      mp      -.00°      .004450      .007200      23     
38      1100.750      square*.48611,sine*.51389      mp+      .72°      .004421      .007153      23     
39      1162.092      square*.47222,sine*.52778      mp+      1.44°      .004392      .007106      22     
40      1226.854      square*.45833,sine*.54167      mp+      2.17°      .004362      .007058      21     
41      1295.224      square*.44444,sine*.55556      mp+      2.89°      .004333      .007011      21     
42      1367.404      square*.43056,sine*.56944      mp+      3.61°      .004304      .006964      20     
43      1443.607      square*.41667,sine*.58333      mp+      4.33°      .004275      .006917      20     
44      1524.056      square*.40278,sine*.59722      mp+      5.06°      .004246      .006869      19     
45      1608.989      square*.38889,sine*.61111      mp+      5.78°      .004217      .006822      18     
46      1698.655      square*.37500,sine*.62500      mf-      6.50°      .004187      .006775      18     
47      1793.318      square*.36111,sine*.63889      mf-      7.22°      .004158      .006728      17     
48      1893.256      square*.34722,sine*.65278      mf-      7.94°      .004129      .006681      16     
49      1998.764      square*.33333,sine*.66667      mf-      8.67°      .004100      .006633      16     
50      2110.151      square*.31944,sine*.68056      mf-      9.39°      .004071      .006586      15     
51      2227.745      square*.30556,sine*.69444      mf-      10.11°      .004042      .006539      15     
52      2351.893      square*.29167,sine*.70833      mf-      10.83°      .004012      .006492      14     
53      2482.960      square*.27778,sine*.72222      mf-      11.56°      .003983      .006444      13     
54      2621.331      square*.26389,sine*.73611      mf-      12.28°      .003954      .006397      13     
55      2767.412      square*.25000,sine*.75000      mf      13.00°      .003925      .006350      12     
56      2921.635      square*.23611,sine*.76389      mf+      13.72°      .003896      .006303      12     
57      3084.452      square*.22222,sine*.77778      mf+      14.44°      .003867      .006256      11     
58      3256.343      square*.20833,sine*.79167      mf+      15.17°      .003837      .006208      10     
59      3437.812      square*.19444,sine*.80556      mf+      15.89°      .003808      .006161      10     
60      3629.395      square*.18056,sine*.81944      mf+      16.61°      .003779      .006114      9     
61      3831.654      square*.16667,sine*.83333      mf+      17.33°      .003750      .006067      8     
62      4045.185      square*.15278,sine*.84722      mf+      18.06°      .003721      .006019      8     
63      4270.616      square*.13889,sine*.86111      mf+      18.78°      .003692      .005972      7     
64      4508.609      square*.12500,sine*.87500      f-      19.50°      .003662      .005925      7     
65      4759.865      square*.11111,sine*.88889      f-      20.22°      .003633      .005878      6     
66      5025.123      square*.09722,sine*.90278      f-      20.94°      .003604      .005831      5     
67      5305.164      square*.08333,sine*.91667      f-      21.67°      .003575      .005783      5     
68      5600.811      square*.06944,sine*.93056      f-      22.39°      .003546      .005736      4     
69      5912.933      square*.05556,sine*.94444      f-      23.11°      .003517      .005689      3     
70      6242.449      square*.04167,sine*.95833      f-      23.83°      .003487      .005642      3     
71      6590.329      square*.02778,sine*.97222      f-      24.56°      .003458      .005594      2     
72      6957.596      square*.01389,sine*.98611      f-      25.28°      .003429      .005547      2     
73      7345.329      sine      f      26°      .003400      .005500      1