Complementary Beatty Sequences no. 11
Casey Mongoven
February 10, 2005
description of sequences: spectrum
sequences (Beatty sequences) based on Ф and Ф + 1
number of members in sequences used:
Ф spectrum sequence: 233;
Ф + 1 spectrum sequence: 144
orientation: descending
temperament: φ9
+ 1
highest pitch: 6320 Hertz
lowest pitch: 46.3961713181
Hertz
length: 19.604 seconds
note value: .052 seconds
waveform: sine 0° →
square 0°
pan values: Ф spectrum
sequence: -30°; Ф + 1 spectrum sequence: 30° (gray squares in graph)
dynamic values: pp →
fff
starting attack: .005 seconds
attack roll-off: .000005 seconds
starting release: .008 seconds
release roll-off: .000008 seconds
values used:
# pitch
in Hertz waveform dynamic attack release
1 6320.0000000000
sine 0° pp .005000
.008000
2
6237.9360987181
.004995 .007992
3 6156.9377803308 m
c .004990 .007984
4 6076.9912084631 o
r
.004985 .007976
5 5998.0827264027 r
e
.004980 .007968
6 5920.1988547666 p
s
.004975 .007960
7 5843.3262891991 h
c
.004970 .007952
8
5767.4518980987 e
.004965 .007944
9 5692.5627203750
¦ n
.004960 .007936
10 5618.6459632349
¦ d
.004955 .007928
11 5545.6889999968
¦ o
.004950 .007920
12 5473.6793679341
¦
.004945 .007912
13 5402.6047661464 ¦
¦
.004940 .007904
14 5332.4530534574
¦ ¦
.004935 .007896
15 5263.2122463421
¦ ¦
.004930 .007888
16 5194.8705168786
¦ ¦
.004925 .007880
17 5127.4161907284
¦ ¦
.004920 .007872
18 5060.8377451418
¦ ¦
.004915 .007864
19 4995.1238069898
¦ ¦
.004910 .007856
20 4930.2631508208
¦ ¦
.004905 .007848
21 4866.2446969438
¦ ¦
.004900 .007840
22 4803.0575095351
¦ ¦
.004895 .007832
23 4740.6907947702
¦ ¦
.004890 .007824
24 4679.1338989807
¦ ¦
.004885 .007816
25 4618.3763068334
¦ ¦
.004880 .007808
26 4558.4076395349
¦ ¦
.004875 .007800
27 4499.2176530581
¦ ¦
.004870 .007792
28 4440.7962363926
¦ ¦
.004865 .007784
29 4383.1334098172
¦ ¦
.004860 .007776
30 4326.2193231956
¦ ¦
.004855 .007768
31 4270.0442542934
¦ ¦
.004850 .007760
32 4214.5986071172
¦ ¦
.004845 .007752
33 4159.8729102758
¦ ¦
.004840 .007744
34 4105.8578153622
¦ ¦
.004835 .007736
35 4052.5440953563
¦ ¦
.004830 .007728
36 3999.9226430491
¦ ¦
.004825 .007720
37 3947.9844694867
¦ ¦
.004820 .007712
38 3896.7207024350
¦ ¦
.004815 .007704
39 3846.1225848642
¦ ¦
.004810 .007696
40 3796.1814734525
¦ ¦
.004805 .007688
41 3746.8888371098
¦ ¦
.004800 .007680
42 3698.2362555208
¦ ¦
.004795 .007672
43 3650.2154177059
¦ ¦
.004790 .007664
44 3602.8181206020
¦ ¦
.004785 .007656
45 3556.0362676613
¦ ¦
.004780 .007648
46 3509.8618674676
¦ ¦
.004775 .007640
47 3464.2870323719
¦ ¦
.004770 .007632
48 3419.3039771446
¦ ¦
.004765 .007624
49 3374.9050176457
¦ ¦
.004760 .007616
50 3331.0825695121
¦ ¦
.004755 .007608
51 3287.8291468624
¦ ¦
.004750 .007600
52 3245.1373610175
¦ ¦
.004745 .007592
53 3202.9999192389
¦ ¦
.004740 .007584
54 3161.4096234829
¦ ¦
.004735 .007576
55 3120.3593691707
¦ ¦
.004730 .007568
56 3079.8421439752
¦ ¦
.004725 .007560
57 3039.8510266228
¦ ¦
.004720 .007552
58 3000.3791857114
¦ ¦
.004715 .007544
59 2961.4198785429
¦ ¦
.004710 .007536
60 2922.9664499722
¦ ¦
.004705 .007528
61 2885.0123312696
¦ ¦
.004700 .007520
62 2847.5510389990
¦ ¦
.004695 .007512
63 2810.5761739104
¦ ¦
.004690 .007504
64 2774.0814198470
¦ ¦
.004685 .007496
65 2738.0605426656
¦ ¦
.004680 .007488
66 2702.5073891724
¦ ¦
.004675 .007480
67 2667.4158860714
¦ ¦
.004670 .007472
68 2632.7800389270
¦ ¦
.004665 .007464
69 2598.5939311404
¦ ¦
.004660 .007456
70 2564.8517229384
¦ ¦
.004655 .007448
71 2531.5476503761
¦ ¦
.004650 .007440
72 2498.6760243522
¦ ¦
.004645 .007432
73 2466.2312296373
¦ ¦
.004640 .007424
74 2434.2077239147
¦ ¦
.004635 .007416
75 2402.6000368332
¦ ¦
.004630 .007408
76 2371.4027690733
¦ ¦
.004625 .007400
77 2340.6105914244
¦ ¦
.004620 .007392
78 2310.2182438748
¦ ¦
.004615 .007384
79 2280.2205347126
¦ ¦
.004610 .007376
80 2250.6123396396
¦ ¦
.004605 .007368
81 2221.3886008953
¦ ¦
.004600 .007360
82 2192.5443263933
¦ ¦
.004595 .007352
83 2164.0745888684
¦ ¦
.004590 .007344
84 2135.9745250349
¦ ¦
.004585 .007336
85 2108.2393347560
¦ ¦
.004580 .007328
86 2080.8642802234
¦ ¦
.004575 .007320
87 2053.8446851485
¦ ¦
.004570 .007312
88 2027.1759339633
¦ ¦
.004565 .007304
89 2000.8534710320
¦ ¦
.004560 .007296
90 1974.8727998728
¦ ¦
.004555 .007288
91 1949.2294823897
¦ ¦
.004550 .007280
92 1923.9191381146
¦ ¦
.004545 .007272
93 1898.9374434589
¦ ¦
.004540 .007264
94 1874.2801309746
¦ ¦
.004535 .007256
95 1849.9429886260
¦ ¦
.004530 .007248
96 1825.9218590698
¦ ¦
.004525 .007240
97 1802.2126389446
¦ ¦
.004520 .007232
98 1778.8112781706
¦ ¦
.004515 .007224
99 1755.7137792575
¦ ¦
.004510 .007216
100 1732.9161966214
¦ ¦
.004505 .007208
101 1710.4146359111
¦ ¦
.004500 .007200
102 1688.2052533427
¦ ¦
.004495 .007192
103 1666.2842550430
¦ ¦
.004490 .007184
104 1644.6478964016
¦ ¦
.004485 .007176
105 1623.2924814311
¦ ¦
.004480 .007168
106 1602.2143621356
¦ ¦
.004475 .007160
107 1581.4099378877
¦ ¦
.004470 .007152
108 1560.8756548135
¦ ¦
.004465 .007144
109 1540.6080051853
¦ ¦
.004460 .007136
110 1520.6035268227
¦ ¦
.004455 .007128
111 1500.8588025009
¦ ¦
.004450 .007120
112 1481.3704593670
¦ ¦
.004445 .007112
113 1462.1351683639
¦ ¦
.004440 .007104
114 1443.1496436618
¦ ¦
.004435 .007096
115 1424.4106420965
¦ ¦
.004430 .007088
116 1405.9149626158
¦ ¦
.004425 .007080
117 1387.6594457325
¦ ¦
.004420 .007072
118 1369.6409729845
¦ ¦
.004415 .007064
119 1351.8564664024
¦ ¦
.004410 .007056
120 1334.3028879837
¦ ¦
.004405 .007048
121 1316.9772391737 ¦
¦
.004400 .007040
122 1299.8765603531 ¦
¦
.004395 .007032
123 1282.9979303329 ¦
¦
.004390 .007024
124 1266.3384658551 ¦
¦ .004385 .007016
125 1249.8953211001 ¦
¦
.004380 .007008
126 1233.6656872009 ¦
¦
.004375 .007000
127 1217.6467917627 ¦
¦
.004370 .006992
128 1201.8358983900 ¦
¦
.004365
.006984
129 1186.2303062187 ¦
¦ .004360 .006976
130 1170.8273494549 ¦
¦ .004355 .006968
131 1155.6243969195
¦ ¦
.004350 .006960
132 1140.6188515987 ¦
¦ .004345 .006952
133 1125.8081502003 ¦
¦
.004340 .006944
134 1111.1897627161 ¦
¦ .004335 .006936
135 1096.7611919893 ¦
¦ .004330 .006928
136 1082.5199732885 ¦
¦
.004325 .006920
137 1068.4636738860 ¦
¦
.004320 .006912
138 1054.5898926428 ¦
¦
.004315 .006904
139 1040.8962595981 ¦
¦
.004310 .006896
140 1027.3804355645 ¦
¦
.004305 .006888
141 1014.0401117286 ¦
¦
.004300 .006880
142 1000.8730092563 ¦
¦
.004295 .006872
143 987.8768789039
¦ ¦
.004290 .006864
144 975.0495006335
¦
¦ .004285 .006856
145 962.3886832339
¦
¦ .004280 .006848
146 949.8922639466
¦
¦ .004275 .006840
147 937.5581080959
¦
¦ .004270 .006832
148 925.3841087242 ¦
¦ .004265 .006824
149 913.3681862327
¦
¦ .004260 .006816
150 901.5082880256
¦
¦ .004255 .006808
151 889.8023881596
¦
¦ .004250 .006800
152 878.2484869978
¦
¦ .004245 .006792
153 866.8446108684
¦
¦ .004240 .006784
154 855.5888117271
¦
¦ .004235 .006776
155 844.4791668247
¦
¦ .004230 .006768
156 833.5137783783
¦
¦ .004225 .006760
157 822.6907732476
¦
¦ .004220 .006752
158 812.0083026145
¦
¦ .004215 .006744
159 801.4645416674
¦
¦ .004210 .006736
160 791.0576892895
¦
¦ .004205 .006728
161 780.7859677512 ¦
¦ .004200 .006720
162 770.6476224063
¦
¦ .004195 .006712
163 760.6409213923
¦ ¦
.004190 .006704
164 750.7641553347
¦
¦ .004185 .006696
165 741.0156370547
¦
¦ .004180 .006688
166 731.3937012814
¦
¦ .004175 .006680
167 721.8967043668
¦
¦ .004170 .006672
168 712.5230240056
¦
¦ .004165 .006664
169 703.2710589576
¦
¦ .004160 .006656
170 694.1392287746
¦
¦ .004155 .006648
171 685.1259735300
¦
¦ .004150 .006640
172 676.2297535525
¦
¦ .004145 .006632
173 667.4490491634
¦
¦ .004140 .006624
174 658.7823604164 ¦
¦ .004135 .006616
175 650.2282068418
¦
¦ .004130 .006608
176 641.7851271935
¦
¦ .004125 .006600
177 633.4516791995
¦
¦ .004120 .006592
178 625.2264393152
¦
¦ .004115 .006584
179 617.1080024806
¦
¦ .004110 .006576
180 609.0949818800
¦
¦ .004105 .006568
181 601.1860087053
¦
¦ .004100 .006560
182 593.3797319220
¦
¦ .004095 .006552
183 585.6748180386
¦
¦ .004090 .006544
184 578.0699508786
¦
¦ .004085 .006536
185 570.5638313560
¦
¦ .004080 .006528
186 563.1551772529
¦
¦ .004075 .006520
187 555.8427230010
¦
¦ .004070 .006512
188 548.6252194648
¦
¦ .004065 .006504
189 541.5014337289
¦
¦ .004060 .006496
190 534.4701488869
¦
¦ .004055 .006488
191 527.5301638337
¦
¦ .004050 .006480
192 520.6802930602
¦
¦ .004045 .006472
193 513.9193664512
¦
¦ .004040 .006464
194 507.2462290849
¦
¦ .004035 .006456
195 500.6597410359
¦
¦ .004030 .006448
196 494.1587771808
¦
¦ .004025 .006440
197 487.7422270055
¦
¦ .004020 .006432
198 481.4089944156
¦
¦ .004015 .006424
199 475.1579975495
¦
¦ .004010 .006416
200 468.9881685931 ¦
¦ .004005 .006408
201 462.8984535979
¦
¦ .004000 .006400
202 456.8878123005
¦
¦ .003995 .006392
203 450.9552179452
¦
¦ .003990 .006384
204 445.0996571085
¦
¦ .003985 .006376
205 439.3201295260
¦
¦ .003980 .006368
206 433.6156479215
¦
¦ .003975 .006360
207 427.9852378383
¦
¦ .003970 .006352
208 422.4279374731
¦
¦ .003965 .006344
209 416.9427975112
¦
¦ .003960 .006336
210 411.5288809645
¦
¦ .003955 .006328
211 406.1852630116
¦
¦ .003950 .006320
212 400.9110308398
¦ ¦
.003945 .006312
213 395.7052834889 ¦
¦ .003940 .006304
214 390.5671316976
¦
¦ .003935 .006296
215 385.4956977515
¦
¦ .003930 .006288
216 380.4901153330
¦
¦ .003925 .006280
217 375.5495293736
¦
¦ .003920 .006272
218 370.6730959076
¦
¦ .003915 .006264
219 365.8599819281
¦
¦ .003910 .006256
220 361.1093652446
¦
¦ .003905 .006248
221 356.4204343425
¦
¦ .003900 .006240
222 351.7923882446
¦
¦ .003895 .006232
223 347.2244363742
¦
¦ .003890 .006224
224 342.7157984202
¦
¦ .003885 .006216
225 338.2657042036
¦
¦ .003880 .006208
226 333.8733935458 ¦
¦ .003875 .006200
227 329.5381161394
¦
¦ .003870 .006192
228 325.2591314192
¦
¦ .003865 .006184
229 321.0357084364
¦
¦ .003860 .006176
230 316.8671257330
¦
¦ .003855 .006168
231 312.7526712195
¦
¦ .003850 .006160
232 308.6916420523
¦
¦ .003845 .006152
233 304.6833445143
¦
¦ .003840 .006144
234 300.7270938962
¦
¦ .003835 .006136
235 296.8222143794
¦
¦ .003830 .006128
236 292.9680389207
¦
¦ .003825 .006120
237 289.1639091383
¦
¦ .003820 .006112
238 285.4091751994
¦
¦ .003815 .006104
239 281.7031957091
¦
¦ .003810 .006096
240 278.0453376010
¦
¦ .003805 .006088
241 274.4349760287
¦
¦ .003800 .006080
242 270.8714942595
¦
¦ .003795 .006072
243 267.3542835689
¦
¦ .003790 .006064
244 263.8827431363
¦
¦ .003785 .006056
245 260.4562799428
¦
¦ .003780 .006048
246 257.0743086698
¦
¦ .003775 .006040
247 253.7362515988
¦
¦ .003770 .006032
248 250.4415385129
¦
¦ .003765 .006024
249 247.1896065994
¦
¦ .003760 .006016
250 243.9799003535
¦
¦ .003755 .006008
251 240.8118714837
¦
¦ .003750 .006000
252 237.6849788177
¦
¦ .003745 .005992
253 234.5986882104
¦
¦ .003740 .005984
254 231.5524724525
¦
¦ .003735 .005976
255 228.5458111802
¦
¦ .003730 .005968
256 225.5781907867
¦
¦ .003725 .005960
257 222.6491043341
¦
¦ .003720 .005952
258 219.7580514673
¦
¦ .003715 .005944
259 216.9045383278
¦
¦ .003710 .005936
260 214.0880774701
¦
¦ .003705 .005928
261 211.3081877778
¦
¦
.003700 .005920
262 208.5643943819
¦
¦ .003695 .005912
263 205.8562285795
¦
¦ .003690 .005904
264 203.1832277535
¦
¦ .003685 .005896
265 200.5449352939 ¦
¦ .003680 .005888
266 197.9409005198
¦
¦ .003675 .005880
267 195.3706786020
¦
¦ .003670 .005872
268 192.8338304878
¦
¦ .003665 .005864
269 190.3299228250
¦
¦ .003660 .005856
270 187.8585278886
¦
¦ .003655 .005848
271 185.4192235077
¦
¦ .003650 .005840
272 183.0115929929
¦
¦ .003645
.005832
273 180.6352250655
¦
¦ .003640 .005824
274 178.2897137874
¦
¦ .003635 .005816
275 175.9746584912
¦
¦ .003630 .005808
276 173.6896637123
¦
¦ .003625 .005800
277 171.4343391211
¦
¦ .003620 .005792
278 169.2082994562 ¦
¦ .003615 .005784
279 167.0111644590
¦
¦ .003610 .005776
280 164.8425588082
¦
¦ .003605 .005768
281 162.7021120561
¦
¦ .003600 .005760
282 160.5894585652
¦
¦ .003595 .005752
283 158.5042374458
¦
¦ .003590 .005744
284 156.4460924942
¦
¦ .003585 .005736
285 154.4146721318
¦
¦ .003580 .005728
286 152.4096293453
¦
¦ .003575 .005720
287 150.4306216275
¦
¦ .003570 .005712
288 148.4773109181
¦
¦ .003565 .005704
289 146.5493635470
¦
¦ .003560 .005696
290 144.6464501762
¦
¦ .003555 .005688
291 142.7682457446 ¦
¦ .003550 .005680
292 140.9144294115
¦
¦ .003545 .005672
293 139.0846845026
¦
¦ .003540 .005664
294 137.2786984553
¦
¦ .003535 .005656
295 135.4961627657
¦
¦ .003530 .005648
296 133.7367729358
¦
¦ .003525 .005640
297 132.0002284212
¦
¦ .003520 .005632
298 130.2862325803
¦
¦ .003515 .005624
299 128.5944926232
¦
¦ .003510 .005616
300 126.9247195618
¦
¦ .003505 .005608
301 125.2766281605
¦
¦ .003500 .005600
302 123.6499368874
¦
¦ .003495 .005592
303 122.0443678661
¦
¦ .003490 .005584
304 120.4596468287
¦
¦ .003485 .005576
305 118.8955030683
¦
¦ .003480 .005568
306 117.3516693932
¦
¦ .003475 .005560
307 115.8278820811
¦
¦ .003470 .005552
308 114.3238808341
¦
¦ .003465 .005544
309 112.8394087343
¦
¦ .003460 .005536
310 111.3742121996
¦
¦ .003455 .005528
311 109.9280409409
¦
¦ .003450 .005520
312 108.5006479188
¦
¦ .003445 .005512
313 107.0917893017
¦
¦ .003440 .005504
314 105.7012244243
¦
¦ .003435 .005496
315 104.3287157460
¦
¦ .003430 .005488
316 102.9740288109
¦
¦ .003425 .005480
317 101.6369322073
¦
¦ .003420 .005472
318 100.3171975283
¦
¦ .003415 .005464
319 99.0145993329
¦
¦ .003410 .005456
320 97.7289151074
¦
¦ .003405 .005448
321 96.4599252274
¦ ¦
.003400 .005440
322 95.2074129202
¦
¦ .003395 .005432
323 93.9711642279
¦
¦ .003390 .005424
324 92.7509679709
¦
¦ .003385 .005416
325 91.5466157115
¦
¦ .003380 .005408
326 90.3579017187
¦
¦ .003375 .005400
327 89.1846229328
¦
¦ .003370 .005392
328 88.0265789309
¦
¦ .003365 .005384
329 86.8835718923
¦
¦ .003360 .005376
330 85.7554065653 ¦
¦ .003355 .005368
331 84.6418902332
¦
¦ .003350 .005360
332 83.5428326819
¦
¦ .003345 .005352
333 82.4580461670
¦
¦ .003340 .005344
334 81.3873453821
¦
¦ .003335 .005336
335 80.3305474269
¦
¦ .003330 .005328
336 79.2874717760
¦
¦ .003325 .005320
337 78.2579402480
¦
¦ .003320 .005312
338 77.2417769754
¦
¦ .003315 .005304
339 76.2388083740
¦
¦ .003310 .005296
340 75.2488631139
¦
¦ .003305 .005288
341 74.2717720895
¦
¦ .003300 .005280
342 73.3073683912
¦
¦ .003295 .005272
343 72.3554872769 ¦
¦ .003290 .005264
344 71.4159661431
¦
¦ .003285 .005256
345 70.4886444983
¦
¦ .003280 .005248
346 69.5733639344
¦
¦ .003275 .005240
347 68.6699681006
¦
¦ .003270 .005232
348 67.7783026760
¦
¦ .003265 .005224