Collection IV

Sequence A117407 no. 6

Casey Mongoven

February 13, 2007

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Catalogue Entry B493 & Files
Parameters   Sequence Values & Graph
description of sequence: a(n) = j if n is T(j), else a(n) = k if n is U(k), where T is a Beatty sequence based on (sqrt(5)+5)/2 and U is its complement.
offset: 0
number of members used: 123
piece length: 6.15 seconds
note value: .05 seconds
orientation: descending
temperament: phi^8 + 1
lowest frequency: 245.9923 Hz    highest frequency: 1570.000 Hz
number of unique frequencies: 89
wave: sine to triangle
dynamic: mp to pp
simulated spatial location: 21° to -21°
attack: .006    roll off to: .0057
release: .0097    roll off to: .0093
integer      frequency      wave      dynamic      s.s.l.      attack      release      n.o.     
1      1570.000      sine      mp      21°      .006000      .009700      2     
2      1537.277      sine*.98864,triangle*.01136      mp-      20.52°      .005997      .009695      2     
3      1505.236      sine*.97727,triangle*.02273      mp-      20.05°      .005993      .009691      2     
4      1473.863      sine*.96591,triangle*.03409      mp-      19.57°      .005990      .009686      2     
5      1443.144      sine*.95455,triangle*.04545      mp-      19.09°      .005986      .009682      2     
6      1413.065      sine*.94318,triangle*.05682      mp-      18.61°      .005983      .009677      2     
7      1383.613      sine*.93182,triangle*.06818      mp-      18.14°      .005980      .009673      2     
8      1354.775      sine*.92045,triangle*.07955      mp-      17.66°      .005976      .009668      2     
9      1326.538      sine*.90909,triangle*.09091      mp-      17.18°      .005973      .009664      2     
10      1298.890      sine*.89773,triangle*.10227      mp-      16.70°      .005969      .009659      2     
11      1271.818      sine*.88636,triangle*.11364      mp-      16.23°      .005966      .009655      2     
12      1245.310      sine*.87500,triangle*.12500      mp-      15.75°      .005962      .009650      2     
13      1219.354      sine*.86364,triangle*.13636      mp-      15.27°      .005959      .009645      2     
14      1193.940      sine*.85227,triangle*.14773      mp-      14.80°      .005956      .009641      2     
15      1169.055      sine*.84091,triangle*.15909      mp-      14.32°      .005952      .009636      2     
16      1144.689      sine*.82955,triangle*.17045      mp-      13.84°      .005949      .009632      2     
17      1120.831      sine*.81818,triangle*.18182      mp-      13.36°      .005945      .009627      2     
18      1097.470      sine*.80682,triangle*.19318      mp-      12.89°      .005942      .009623      2     
19      1074.596      sine*.79545,triangle*.20455      mp-      12.41°      .005939      .009618      2     
20      1052.198      sine*.78409,triangle*.21591      mp-      11.93°      .005935      .009614      2     
21      1030.268      sine*.77273,triangle*.22727      mp-      11.45°      .005932      .009609      2     
22      1008.794      sine*.76136,triangle*.23864      mp-      10.98°      .005928      .009605      2     
23      987.7684      sine*.75000,triangle*.25000      mp-      10.50°      .005925      .009600      2     
24      967.1807      sine*.73864,triangle*.26136      p+      10.02°      .005922      .009595      2     
25      947.0222      sine*.72727,triangle*.27273      p+      9.55°      .005918      .009591      2     
26      927.2838      sine*.71591,triangle*.28409      p+      9.07°      .005915      .009586      2     
27      907.9568      sine*.70455,triangle*.29545      p+      8.59°      .005911      .009582      2     
28      889.0327      sine*.69318,triangle*.30682      p+      8.11°      .005908      .009577      2     
29      870.5029      sine*.68182,triangle*.31818      p+      7.64°      .005905      .009573      2     
30      852.3594      sine*.67045,triangle*.32955      p+      7.16°      .005901      .009568      2     
31      834.5940      sine*.65909,triangle*.34091      p+      6.68°      .005898      .009564      2     
32      817.1990      sine*.64773,triangle*.35227      p+      6.20°      .005894      .009559      2     
33      800.1664      sine*.63636,triangle*.36364      p+      5.73°      .005891      .009555      2     
34      783.4889      sine*.62500,triangle*.37500      p+      5.25°      .005887      .009550      2     
35      767.1590      sine*.61364,triangle*.38636      p+      4.77°      .005884      .009545      1     
36      751.1694      sine*.60227,triangle*.39773      p+      4.30°      .005881      .009541      1     
37      735.5131      sine*.59091,triangle*.40909      p+      3.82°      .005877      .009536      1     
38      720.1831      sine*.57955,triangle*.42045      p+      3.34°      .005874      .009532      1     
39      705.1726      sine*.56818,triangle*.43182      p+      2.86°      .005870      .009527      1     
40      690.4750      sine*.55682,triangle*.44318      p+      2.39°      .005867      .009523      1     
41      676.0837      sine*.54545,triangle*.45455      p+      1.91°      .005864      .009518      1     
42      661.9924      sine*.53409,triangle*.46591      p+      1.43°      .005860      .009514      1     
43      648.1948      sine*.52273,triangle*.47727      p+      .95°      .005857      .009509      1     
44      634.6847      sine*.51136,triangle*.48864      p+      .48°      .005853      .009505      1     
45      621.4563      sine*.50000,triangle*.50000      p      .00°      .005850      .009500      1     
46      608.5035      sine*.48864,triangle*.51136      p-      -.48°      .005847      .009495      1     
47      595.8207      sine*.47727,triangle*.52273      p-      -.95°      .005843      .009491      1     
48      583.4023      sine*.46591,triangle*.53409      p-      -1.43°      .005840      .009486      1     
49      571.2427      sine*.45455,triangle*.54545      p-      -1.91°      .005836      .009482      1     
50      559.3365      sine*.44318,triangle*.55682      p-      -2.39°      .005833      .009477      1     
51      547.6785      sine*.43182,triangle*.56818      p-      -2.86°      .005830      .009473      1     
52      536.2635      sine*.42045,triangle*.57955      p-      -3.34°      .005826      .009468      1     
53      525.0864      sine*.40909,triangle*.59091      p-      -3.82°      .005823      .009464      1     
54      514.1422      sine*.39773,triangle*.60227      p-      -4.30°      .005819      .009459      1     
55      503.4262      sine*.38636,triangle*.61364      p-      -4.77°      .005816      .009455      1     
56      492.9335      sine*.37500,triangle*.62500      p-      -5.25°      .005812      .009450      1     
57      482.6595      sine*.36364,triangle*.63636      p-      -5.73°      .005809      .009445      1     
58      472.5996      sine*.35227,triangle*.64773      p-      -6.20°      .005806      .009441      1     
59      462.7494      sine*.34091,triangle*.65909      p-      -6.68°      .005802      .009436      1     
60      453.1045      sine*.32955,triangle*.67045      p-      -7.16°      .005799      .009432      1     
61      443.6607      sine*.31818,triangle*.68182      p-      -7.64°      .005795      .009427      1     
62      434.4136      sine*.30682,triangle*.69318      p-      -8.11°      .005792      .009423      1     
63      425.3593      sine*.29545,triangle*.70455      p-      -8.59°      .005789      .009418      1     
64      416.4937      sine*.28409,triangle*.71591      p-      -9.07°      .005785      .009414      1     
65      407.8129      sine*.27273,triangle*.72727      p-      -9.55°      .005782      .009409      1     
66      399.3131      sine*.26136,triangle*.73864      p-      -10.02°      .005778      .009405      1     
67      390.9903      sine*.25000,triangle*.75000      p-      -10.50°      .005775      .009400      1     
68      382.8411      sine*.23864,triangle*.76136      pp+      -10.98°      .005772      .009395      1     
69      374.8617      sine*.22727,triangle*.77273      pp+      -11.45°      .005768      .009391      1     
70      367.0486      sine*.21591,triangle*.78409      pp+      -11.93°      .005765      .009386      1     
71      359.3984      sine*.20455,triangle*.79545      pp+      -12.41°      .005761      .009382      1     
72      351.9076      sine*.19318,triangle*.80682      pp+      -12.89°      .005758      .009377      1     
73      344.5729      sine*.18182,triangle*.81818      pp+      -13.36°      .005755      .009373      1     
74      337.3911      sine*.17045,triangle*.82955      pp+      -13.84°      .005751      .009368      1     
75      330.3590      sine*.15909,triangle*.84091      pp+      -14.32°      .005748      .009364      1     
76      323.4735      sine*.14773,triangle*.85227      pp+      -14.80°      .005744      .009359      1     
77      316.7315      sine*.13636,triangle*.86364      pp+      -15.27°      .005741      .009355      1     
78      310.1300      sine*.12500,triangle*.87500      pp+      -15.75°      .005737      .009350      1     
79      303.6661      sine*.11364,triangle*.88636      pp+      -16.23°      .005734      .009345      1     
80      297.3369      sine*.10227,triangle*.89773      pp+      -16.70°      .005731      .009341      1     
81      291.1396      sine*.09091,triangle*.90909      pp+      -17.18°      .005727      .009336      1     
82      285.0715      sine*.07955,triangle*.92045      pp+      -17.66°      .005724      .009332      1     
83      279.1299      sine*.06818,triangle*.93182      pp+      -18.14°      .005720      .009327      1     
84      273.3121      sine*.05682,triangle*.94318      pp+      -18.61°      .005717      .009323      1     
85      267.6156      sine*.04545,triangle*.95455      pp+      -19.09°      .005714      .009318      1     
86      262.0378      sine*.03409,triangle*.96591      pp+      -19.57°      .005710      .009314      1     
87      256.5763      sine*.02273,triangle*.97727      pp+      -20.05°      .005707      .009309      1     
88      251.2285      sine*.01136,triangle*.98864      pp+      -20.52°      .005703      .009305      1     
89      245.9923      triangle      pp      -21°      .005700      .009300      1