Unique Residues no. 1

Casey Mongoven

January 13, 2005

description of sequence: gives number of unique residues occurring in the Fibonacci sequence mod n

number of members in sequence used: 55

orientation: ascending

temperament: φ¹⁰ + 1

lowest pitch: 58.5 Hertz

highest pitch: 86.9920015778 Hertz

length: 3.135 seconds

note value: .057 seconds

waveform: square 0°

pan values: 23.33° → -23.33°

dynamic values: f → fff

starting attack: .005 seconds

attack roll-off: .00003 seconds

starting release: .008 seconds

release roll-off: .000048 seconds

values used:

#   pitch in Hertz   pan value   dynamic  attack   release

1    58.5000000000    23.33°      f        .005000   .008000

2    58.9756411972    22.38°               .004970   .007952

3    59.4551496517    21.43°      c        .004940   .007904

4    59.9385568066    20.48°     r        .004910   .007856

5    60.4258943607    19.52°     e        .004880   .007808

6    60.9171942707    18.57°     s        .004850   .007760

7    61.4124887530    17.62°     c        .004820   .007712

8    61.9118102859    16.67°     e        .004790   .007664

9    62.4151916118   15.71°     n        .004760   .007616

10   62.9226657394    14.76°     d        .004730   .007568

11   63.4342659456    13.81°     o        .004700   .007520

12   63.9500257781    12.86°               .004670   .007472

13   64.4699790571    11.90°     ¦        .004640   .007424

14   64.9941598780    10.95°     ¦        .004610   .007376

15   65.5226026133    10.00°     ¦        .004580   .007328

16   66.0553419151    9.05°      ¦        .004550   .007280

17   66.5924127170    8.10°      ¦        .004520   .007232

18   67.1338502368    7.14°      ¦        .004490   .007184

19   67.6796899787    6.19°      ¦        .004460   .007136

20   68.2299677354    5.24°      ¦        .004430   .007088

21   68.7847195908    4.29°      ¦        .004400   .007040

22   69.3439819220    3.33°      ¦        .004370   .006992

23   69.9077914020    2.38°      ¦        .004340   .006944

24   70.4761850020    1.43°      ¦        .004310   .006896

25   71.0491999936    .48°        ¦        .004280   .006848

26   71.6268739516    -.48°      ¦       .004250   .006800

27   72.2092447564    -1.43°      ¦        .004220   .006752

28   72.7963505962    -2.38°      ¦        .004190   .006704

29   73.3882299697    -3.33°      ¦        .004160   .006656

30   73.9849216887    -4.29°      ¦        .004130   .006608

31   74.5864648806    -5.24°      ¦        .004100   .006560

32   75.1928989909    -6.19°      ¦        .004070   .006512

33   75.8042637858    -7.14°      ¦        .004040   .006464

34   76.4205993547    -8.10°      ¦        .004010   .006416

35   77.0419461131    -9.05°      ¦        .003980   .006368

36   77.6683448052    -10.00°     ¦        .003950   .006320

37   78.2998365062    -10.95°     ¦        .003920   .006272

38   78.9364626254    -11.90°     ¦        .003890   .006224

39   79.5782649090    -12.86°     ¦        .003860   .006176

40   80.2252854422    -13.81°     ¦        .003830   .006128

41   80.8775666527    -14.76°     ¦        .003800   .006080

42   81.5351513130    -15.71°     ¦        .003770   .006032

43   82.1980825436    -16.67°     ¦        .003740   .005984

44   82.8664038152    -17.62°     ¦        .003710   .005936

45   83.5401589523    -18.57°     ¦        .003680   .005888

46   84.2193921355    -19.52°     ¦        .003650   .005840

47   84.9041479048    -20.48°     ¦        .003620   .005792

48   85.5944711622    -21.43°     ¦        .003590   .005744

49   86.2904071748    -22.38°              .003560   .005696

50   86.9920015778    -23.33°     fff      .003530  .005648

sequence values:

1 2 3 4 5 6 7 6 9 10 7 11 9 14 15 11 13 11 12 20 9 14 19 13 25 18 27 21 10 30 19 21 19 13 35 15 29 13 25 30 19 18 33 20 45 21 15 15 37 50 35 30 37 29 12

graph:

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