Fibonacci Entry Points no. 3

Casey Mongoven

December 17, 2004

 

description of sequence: gives the index number for the lowest Fibonacci number that n divides without a remainder

number of members in sequence used: 377

orientation: descending

temperament: φ12 + 1

highest pitch: 364.5 Hertz

lowest pitch: 56.8913231117 Hertz

length: 29.783 seconds

note value: .079 seconds

waveform: saw 0°

pan values: 26.01° → -26.01°

dynamic values: pp → fff

starting attack: .005 seconds

attack roll-off: .000003 seconds

starting release: .008 seconds

release roll-off: .0000047996666… seconds, rounded to 6 decimal places

 

values used:

 

#     pitch in Hertz    pan value   dynamic attack   release

 

1     364.5000000000    26.01°      pp       .005000  .008000

2     363.3715061775    25.92°               .004997  .007995

3     362.2465061775    25.83°      c        .004994  .007990

4     361.1249891831    25.75°      r        .004991  .007986

5     360.0069444110    25.66°      e        .004988  .007981

6     358.8923611110    25.57°      s        .004985  .007976

7     357.7812285665    25.48°      c        .004982  .007971

8     356.6735360940    25.40°      e        .004979  .007966

9     355.5692730428    25.31°      n        .004976  .007962

10    354.4684287956    25.22°      d        .004973  .007957

11    353.3709927677    25.14°      o        .004970  .007952

12    352.2769544072    25.05°               .004967  .007947

13    351.1863031950    24.96°      ¦        .004964  .007942

14    350.0990286444    24.88°      ¦        .004961  .007938

15    349.0151203012    24.79°      ¦        .004958  .007933

16    347.9345677436    24.70°      ¦        .004955  .007928

17    346.8573605822    24.62°      ¦        .004952  .007923

18    345.7834884595    24.53°      ¦        .004949  .007918

19    344.7129410503    24.44°      ¦        .004946  .007914

20    343.6457080612    24.36°      ¦        .004943  .007909

21    342.5817792308    24.27°      ¦        .004940  .007904

22    341.5211443294    24.18°      ¦        .004937  .007899

23    340.4637931590    24.10°      ¦        .004934  .007894

24    339.4097155530    24.01°      ¦        .004931  .007890

25    338.3589013766    23.92°      ¦        .004928  .007885

26    337.3113405261    23.84°      ¦        .004925  .007880

27    336.2670229293    23.75°      ¦        .004922  .007875

28    335.2259385449    23.66°      ¦        .004919  .007870

29    334.1880773631    23.57°      ¦        .004916  .007866

30    333.1534294046    23.49°      ¦        .004913  .007861

31    332.1219847214    23.40°      ¦        .004910  .007856

32    331.0937333960    23.31°      ¦        .004907  .007851

33    330.0686655420    23.23°      ¦        .004904  .007846

34    329.0467713031    23.14°      ¦        .004901  .007842

35    328.0280408539    23.05°      ¦        .004898  .007837

36    327.0124643992    22.97°      ¦        .004895  .007832

37    326.0000321744    22.88°      ¦        .004892  .007827

38    324.9907344448    22.79°      ¦        .004889  .007822

39    323.9845615059    22.71°      ¦        .004886  .007818

40    322.9815036836    22.62°      ¦        .004883  .007813

41    321.9815513333    22.53°      ¦        .004880  .007808

42    320.9846948404    22.45°      ¦        .004877  .007803

43    319.9909246202    22.36°      ¦        .004874  .007798

44    319.0002311177    22.27°      ¦        .004871  .007794

45    318.0126048071    22.19°      ¦        .004868  .007789

46    317.0280361925    22.10°      ¦        .004865  .007784

47    316.0465158073    22.01°      ¦        .004862  .007779

48    315.0680342141    21.92°      ¦        .004859  .007774

49    314.0925820049    21.84°      ¦        .004856  .007770

50    313.1201498005    21.75°      ¦        .004853  .007765

51    312.1507282511    21.66°      ¦        .004850  .007760

52    311.1843080357    21.58°      ¦        .004847  .007755

53    310.2208798620    21.49°      ¦        .004844  .007750

54    309.2604344669    21.40°      ¦        .004841  .007746

55    308.3029626154    21.32°      ¦        .004838  .007741

56    307.3484551017    21.23°      ¦        .004835  .007736

57    306.3969027479    21.14°      ¦        .004832  .007731

58    305.4482964050    21.06°      ¦        .004829  .007726

59    304.5026269521    20.97°      ¦        .004826  .007722

60    303.5598852965    20.88°      ¦        .004823  .007717

61    302.6200623738    20.80°      ¦        .004820  .007712

62    301.6831491476    20.71°      ¦        .004817  .007707

63    300.7491366094    20.62°      ¦        .004814  .007702

64    299.8180157787    20.54°      ¦        .004811  .007698

65    298.8897777027    20.45°      ¦        .004808  .007693

66    297.9644134565    20.36°      ¦        .004805  .007688

67    297.0419141426    20.27°      ¦        .004802  .007683

68    296.1222708912    20.19°      ¦        .004799  .007678

69    295.2054748599    20.10°      ¦        .004796  .007674

70    294.2915172337    20.01°      ¦        .004793  .007669

71    293.3803892249    19.93°      ¦        .004790  .007664

72    292.4720820729    19.84°      ¦        .004787  .007659

73    291.5665870444    19.75°      ¦        .004784  .007654

74    290.6638954331    19.67°      ¦        .004781  .007650

75    289.7639985595    19.58°      ¦        .004778  .007645

76    288.8668877711    19.49°      ¦        .004775  .007640

77    287.9725544423    19.41°      ¦        .004772  .007635

78    287.0809899738    19.32°      ¦        .004769  .007630

79    286.1921857934    19.23°      ¦        .004766  .007626

80    285.3061333553    19.15°      ¦        .004763  .007621

81    284.4228241398    19.06°      ¦        .004760  .007616

82    283.5422496542    18.97°      ¦        .004757  .007611

83    282.6644014315    18.89°      ¦        .004754  .007606

84    281.7892710314    18.80°      ¦        .004751  .007602

85    280.9168500393    18.71°      ¦        .004748  .007597

86    280.0471300670    18.63°      ¦        .004745  .007592

87    279.1801027520    18.54°      ¦        .004742  .007587

88    278.3157597580    18.45°      ¦        .004739  .007582

89    277.4540927742    18.36°      ¦        .004736  .007578

90    276.5950935157    18.28°      ¦        .004733  .007573

91    275.7387537232    18.19°      ¦        .004730  .007568

92    274.8850651629    18.10°      ¦        .004727  .007563

93    274.0340196268    18.02°      ¦        .004724  .007558

94    273.1856089318    17.93°      ¦        .004721  .007554

95    272.3398249206    17.84°      ¦        .004718  .007549

96    271.4966594609    17.76°      ¦        .004715  .007544

97    270.6561044458    17.67°      ¦        .004712  .007539

98    269.8181517931    17.58°      ¦        .004709  .007534

99    268.9827934460    17.50°      ¦        .004706  .007530

100   268.1500213726    17.41°      ¦        .004703  .007525

101   267.3198275657    17.32°      ¦        .004700  .007520

102   266.4922040429    17.24°      ¦        .004697  .007515

103   265.6671428467    17.15°      ¦        .004694  .007510

104   264.8446360441    17.06°      ¦        .004691  .007506

105   264.0246757267    16.98°      ¦        .004688  .007501

106   263.2072540105    16.89°      ¦        .004685  .007496

107   262.3923630361    16.80°      ¦        .004682  .007491

108   261.5799949681    16.71°      ¦        .004679  .007486

109   260.7701419958    16.63°      ¦        .004676  .007482

110   259.9627963323    16.54°      ¦        .004673  .007477

111   259.1579502150    16.45°      ¦        .004670  .007472

112   258.3555959054    16.37°      ¦        .004667  .007467

113   257.5557256886    16.28°      ¦        .004664  .007462

114   256.7583318741    16.19°      ¦        .004661  .007458

115   255.9634067948    16.11°      ¦        .004658  .007453

116   255.1709428076    16.02°      ¦        .004655  .007448

117   254.3809322928    15.93°      ¦        .004652  .007443

118   253.5933676545    15.85°      ¦        .004649  .007438

119   252.8082413202    15.76°      ¦        .004646  .007434

120   252.0255457411    15.67°      ¦        .004643  .007429

121   251.2452733913    15.59°      ¦        .004640  .007424

122   250.4674167687    15.50°      ¦        .004637  .007419

123   249.6919683940    15.41°      ¦        .004634  .007414

124   248.9189208114    15.33°      ¦        .004631  .007410

125   248.1482665879    15.24°      ¦        .004628  .007405

126   247.3799983138    15.15°      ¦        .004625  .007400

127   246.6141086021    15.07°      ¦        .004622  .007395

128   245.8505900888    14.98°      ¦        .004619  .007390

129   245.0894354326    14.89°      ¦        .004616  .007386

130   244.3306373151    14.80°      ¦        .004613  .007381

131   243.5741884403    14.72°      ¦        .004610  .007376

132   242.8200815350    14.63°      ¦        .004607  .007371

133   242.0683093484    14.54°      ¦        .004604  .007366

134   241.3188646524    14.46°      ¦        .004601  .007362

135   240.5717402408    14.37°      ¦        .004598  .007357

136   239.8269289301    14.28°      ¦        .004595  .007352

137   239.0844235590    14.20°      ¦        .004592  .007347

138   238.3442169882    14.11°      ¦        .004589  .007342

139   237.6063021007    14.02°      ¦        .004586  .007338

140   236.8706718014    13.94°      ¦        .004583  .007333

141   236.1373190171    13.85°      ¦        .004580  .007328

142   235.4062366967    13.76°      ¦        .004577  .007323

143   234.6774178109    13.68°      ¦        .004574  .007318

144   233.9508553519    13.59°      ¦        .004571  .007314

145   233.2265423340    13.50°      ¦        .004568  .007309

146   232.5044717928    13.42°      ¦        .004565  .007304

147   231.7846367856    13.33°      ¦        .004562  .007299

148   231.0670303912    13.24°      ¦        .004559  .007294

149   230.3516457097    13.15°      ¦        .004556  .007290

150   229.6384758628    13.07°      ¦        .004553  .007285

151   228.9275139934    12.98°      ¦        .004550  .007280

152   228.2187532654    12.89°      ¦        .004547  .007275

153   227.5121868642    12.81°      ¦        .004544  .007270

154   226.8078079961    12.72°      ¦        .004541  .007266

155   226.1056098885    12.63°      ¦        .004538  .007261

156   225.4055857897    12.55°      ¦        .004535  .007256

157   224.7077289691    12.46°      ¦        .004532  .007251

158   224.0120327166    12.37°      ¦        .004529  .007246

159   223.3184903433    12.29°      ¦        .004526  .007242

160   222.6270951806    12.20°      ¦        .004523  .007237

161   221.9378405807    12.11°      ¦        .004520  .007232

162   221.2507199166    12.03°      ¦        .004517  .007227

163   220.5657265815    11.94°      ¦        .004514  .007222

164   219.8828539891    11.85°      ¦        .004511  .007218

165   219.2020955738    11.77°      ¦        .004508  .007213

166   218.5234447899    11.68°      ¦        .004505  .007208

167   217.8468951122    11.59°      ¦        .004502  .007203

168   217.1724400356    11.51°      ¦        .004499  .007198

169   216.5000730754    11.42°      ¦        .004496  .007194

170   215.8297877667    11.33°      ¦        .004493  .007189

171   215.1615776646    11.24°      ¦        .004490  .007184

172   214.4954363443    11.16°      ¦        .004487  .007179

173   213.8313574009    11.07°      ¦        .004484  .007174

174   213.1693344492    10.98°      ¦        .004481  .007170

175   212.5093611239    10.90°      ¦        .004478  .007165

176   211.8514310793    10.81°      ¦        .004475  .007160

177   211.1955379894    10.72°      ¦        .004472  .007155

178   210.5416755478    10.64°      ¦        .004469  .007150

179   209.8898374676    10.55°      ¦        .004466  .007146

180   209.2400174814    10.46°      ¦        .004463  .007141

181   208.5922093410    10.38°      ¦        .004460  .007136

182   207.9464068179    10.29°      ¦        .004457  .007131

183   207.3026037027    10.20°      ¦        .004454  .007126

184   206.6607938051    10.12°      ¦        .004451  .007122

185   206.0209709542    10.03°      ¦        .004448  .007117

186   205.3831289980    9.94°       ¦        .004445  .007112

187   204.7472618037    9.86°       ¦        .004442  .007107

188   204.1133632574    9.77°       ¦        .004439  .007102

189   203.4814272642    9.68°       ¦        .004436  .007098

190   202.8514477479    9.59°       ¦        .004433  .007093

191   202.2234186514    9.51°       ¦        .004430  .007088

192   201.5973339362    9.42°       ¦        .004427  .007083

193   200.9731875823    9.33°       ¦        .004424  .007078

194   200.3509735887    9.25°       ¦        .004421  .007074

195   199.7306859727    9.16°       ¦        .004418  .007069

196   199.1123187703    9.07°       ¦        .004415  .007064

197   198.4958660358    8.99°       ¦        .004412  .007059

198   197.8813218420    8.90°       ¦        .004409  .007054

199   197.2686802802    8.81°       ¦        .004406  .007050

200   196.6579354597    8.73°       ¦        .004403  .007045

201   196.0490815082    8.64°       ¦        .004400  .007040

202   195.4421125716    8.55°       ¦        .004397  .007035

203   194.8370228139    8.47°       ¦        .004394  .007030

204   194.2338064170    8.38°       ¦        .004391  .007026

205   193.6324575812    8.29°       ¦        .004388  .007021

206   193.0329705244    8.21°       ¦        .004385  .007016

207   192.4353394824    8.12°       ¦        .004382  .007011

208   191.8395587092    8.03°       ¦        .004379  .007006

209   191.2456224762    7.95°       ¦        .004376  .007002

210   190.6535250728    7.86°       ¦        .004373  .006997

211   190.0632608059    7.77°       ¦        .004370  .006992

212   189.4748240001    7.68°       ¦        .004367  .006987

213   188.8882089976    7.60°       ¦        .004364  .006982

214   188.3034101581    7.51°       ¦        .004361  .006978

215   187.7204218588    7.42°       ¦        .004358  .006973

216   187.1392384941    7.34°       ¦        .004355  .006968

217   186.5598544760    7.25°       ¦        .004352  .006963

218   185.9822642337    7.16°       ¦        .004349  .006958

219   185.4064622137    7.08°       ¦        .004346  .006954

220   184.8324428797    6.99°       ¦        .004343  .006949

221   184.2602007124    6.90°       ¦        .004340  .006944

222   183.6897302096    6.82°       ¦        .004337  .006939

223   183.1210258865    6.73°       ¦        .004334  .006934

224   182.5540822747    6.64°       ¦        .004331  .006930

225   181.9888939232    6.56°       ¦        .004328  .006925

226   181.4254553977    6.47°       ¦        .004325  .006920

227   180.8637612806    6.38°       ¦        .004322  .006915

228   180.3038061714    6.30°       ¦        .004319  .006910

229   179.7455846859    6.21°       ¦        .004316  .006906

230   179.1890914570    6.12°       ¦        .004313  .006901

231   178.6343211339    6.03°       ¦        .004310  .006896

232   178.0812683825    5.95°       ¦        .004307  .006891

233   177.5299278852    5.86°       ¦        .004304  .006886

234   176.9802943408    5.77°       ¦        .004301  .006882

235   176.4323624646    5.69°       ¦        .004298  .006877

236   175.8861269882    5.60°       ¦        .004295  .006872

237   175.3415826596    5.51°       ¦        .004292  .006867

238   174.7987242430    5.43°       ¦        .004289  .006862

239   174.2575465187    5.34°       ¦        .004286  .006858

240   173.7180442834    5.25°       ¦        .004283  .006853

241   173.1802123497    5.17°       ¦        .004280  .006848

242   172.6440455464    5.08°       ¦        .004277  .006843

243   172.1095387181    4.99°       ¦        .004274  .006838

244   171.5766867257    4.91°       ¦        .004271  .006834

245   171.0454844457    4.82°       ¦        .004268  .006829

246   170.5159267706    4.73°       ¦        .004265  .006824

247   169.9880086088    4.65°       ¦        .004262  .006819

248   169.4617248842    4.56°       ¦        .004259  .006814

249   168.9370705366    4.47°       ¦        .004256  .006810

250   168.4140405215    4.38°       ¦        .004253  .006805

251   167.8926298100    4.30°       ¦        .004250  .006800

252   167.3728333886    4.21°       ¦        .004247  .006795

253   166.8546462596    4.12°       ¦        .004244  .006790

254   166.3380634405    4.04°       ¦        .004241  .006786

255   165.8230799644    3.95°       ¦        .004238  .006781

256   165.3096908797    3.86°       ¦        .004235  .006776

257   164.7978912502    3.78°       ¦        .004232  .006771

258   164.2876761549    3.69°       ¦        .004229  .006766

259   163.7790406880    3.60°       ¦        .004226  .006762

260   163.2719799592    3.52°       ¦        .004223  .006757

261   162.7664890929    3.43°       ¦        .004220  .006752

262   162.2625632288    3.34°       ¦        .004217  .006747

263   161.7601975217    3.26°       ¦        .004214  .006742

264   161.2593871414    3.17°       ¦        .004211  .006738

265   160.7601272725    3.08°       ¦        .004208  .006733

266   160.2624131146    3.00°       ¦        .004205  .006728

267   159.7662398823    2.91°       ¦        .004202  .006723

268   159.2716028048    2.82°       ¦        .004199  .006718

269   158.7784971261    2.74°       ¦        .004196  .006714

270   158.2869181051    2.65°       ¦        .004193  .006709

271   157.7968610152    2.56°       ¦        .004190  .006704

272   157.3083211446    2.47°       ¦        .004187  .006699

273   156.8212937957    2.39°       ¦        .004184  .006694

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553   65.8171728717     -21.92°     ¦        .003344  .005351

554   65.6134025754     -22.01°     ¦        .003341  .005346

555   65.4102631530     -22.10°     ¦        .003338  .005341

556   65.2077526512     -22.19°     ¦        .003335  .005336

557   65.0058691229     -22.27°     ¦        .003332  .005331

558   64.8046106271     -22.36°     ¦        .003329  .005327

559   64.6039752286     -22.45°     ¦        .003326  .005322

560   64.4039609982     -22.53°     ¦        .003323  .005317

561   64.2045660130     -22.62°     ¦        .003320  .005312

562   64.0057883556     -22.71°     ¦        .003317  .005307

563   63.8076261148     -22.79°     ¦        .003314  .005303

564   63.6100773853     -22.88°     ¦        .003311  .005298

565   63.4131402676     -22.97°     ¦        .003308  .005293

566   63.2168128683     -23.05°     ¦        .003305  .005288

567   63.0210932996     -23.14°     ¦        .003302  .005283

568   62.8259796796     -23.23°     ¦        .003299  .005279

569   62.6314701324     -23.31°     ¦        .003296  .005274

570   62.4375627877     -23.40°     ¦        .003293  .005269

571   62.2442557811     -23.49°     ¦        .003290  .005264

572   62.0515472540     -23.57°     ¦        .003287  .005259

573   61.8594353534     -23.66°     ¦        .003284  .005255

574   61.6679182323     -23.75°     ¦        .003281  .005250

575   61.4769940491     -23.84°     ¦        .003278  .005245

576   61.2866609681     -23.92°     ¦        .003275  .005240

577   61.0969171593     -24.01°     ¦        .003272  .005235

578   60.9077607983     -24.10°     ¦        .003269  .005231

579   60.7191900664     -24.18°     ¦        .003266  .005226

580   60.5312031503     -24.27°     ¦        .003263  .005221

581   60.3437982427     -24.36°     ¦        .003260  .005216

582   60.1569735416     -24.44°     ¦        .003257  .005211

583   59.9707272507     -24.53°     ¦        .003254  .005207

584   59.7850575793     -24.62°     ¦        .003251  .005202

585   59.5999627421     -24.70°     ¦        .003248  .005197

586   59.4154409595     -24.79°     ¦        .003245  .005192

587   59.2314904572     -24.88°     ¦        .003242  .005187

588   59.0481094666     -24.96°     ¦        .003239  .005183

589   58.8652962244     -25.05°     ¦        .003236  .005178

590   58.6830489730     -25.14°     ¦        .003233  .005173

591   58.5013659599     -25.22°     ¦        .003230  .005168

592   58.3202454384     -25.31°     ¦        .003227  .005163

593   58.1396856669     -25.40°     ¦        .003224  .005159

594   57.9596849094     -25.48°     ¦        .003221  .005154

595   57.7802414351     -25.57°     ¦        .003218  .005149

596   57.6013535187     -25.66°     ¦        .003215  .005144

597   57.4230194402     -25.75°     ¦        .003212  .005139

598   57.2452374849     -25.83°     ¦        .003209  .005135

599   57.0680059435     -25.92°              .003206  .005130

600   56.8913231117     -26.01°     fff      .003203  .005125

 

sequence values:

 

1 3 4 6 5 12 8 6 12 15 10 12 7 24 20 12 9 12 18 30 8 30 24 12 25 21 36 24 14 60 30 24 20 9 40 12 19 18 28 30 20 24 44 30 60 24 16 12 56 75 36 42 27 36 10 24 36 42 58 60 15 30 24 48 35 60 68 18 24 120 70 12 37 57 100 18 40 84 78 60 108 60 84 24 45 132 28 30 11 60 56 24 60 48 90 24 49 168 60 150 50 36 104 42 40 27 36 36 27 30 76 24 19 36 120 42 84 174 72 60 110 15 20 30 125 24 128 96 44 105 130 60 72 204 180 18 69 24 46 120 16 210 70 12 70 111 56 114 37 300 50 18 36 120 30 84 79 78 108 120 24 108 164 60 20 84 168 24 91 45 36 132 87 84 200 60 116 33 178 60 90 168 60 24 95 60 90 48 72 90 190 48 97 147 140 168 99 60 22 150 68 150 56 36 20 312 24 84 90 120 42 54 140 36 220 36 120 27 148 30 63 228 224 24 300 57 228 36 114 120 40 42 13 84 80 174 156 72 238 60 120 330 324 30 280 60 126 30 84 375 250 24 120 384 180 192 129 132 152 210 84 390 88 60 135 72 44 204 67 180 270 36 56 69 50 24 139 138 60 120 28 48 284 210 180 210 40 24 153 210 196 222 147 168 290 114 180 111 168 300 88 150 100 36 15 36 44 120 104 30 310 84 157 237 120 78 159 108 70 240 36 24 18 108 175 492 108 60 16 60 110 84 228 168 340 24 169 273 76 90 30 36 392 132 120 87 116 84 174 600 252 120 59 348 70 66 72 534 358 60 342 90 220 168 185 60 368 24 60 285 216 60 187 90 500 48 14

 

graph:

 

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