Binary Zeck Rep 0s Density no. 1

Casey Mongoven

February 28, 2005

 

description of sequence: gives number of 0s in binary Zeckendorf representation for n

number of members in sequence used: 610

orientation: ascending

temperament: φ4 + 1

lowest pitch: 114 Hertz

highest pitch: 669.5800665424 Hertz

length: 46.36 seconds

note value: .076 seconds

waveform: sine 0° → saw 0°

simulated spatial location: 10° → -10°

dynamic value: ppp → fff

starting attack: .005 seconds

attack roll-off: .00015 seconds

starting release: .008 seconds

release roll-off: .00024 seconds

 

values used:

 

#     pitch in Hertz    waveform    pan value   dynamic  attack   release

 

0     114.0000000000    sine 0°     10.92°      ppp      .005000  .008000

1     130.6323758475                7.2°                 .004850  .007760

2     149.6913826278    m           5.1°        c        .004700  .007520

3     171.5310610226    o           3.3°        r        .004550  .007280

4     196.5571055529    r           1.8°        e        .004400  .007040

5     225.2344007727    p           1.2°        s        .004250  .006800

6     258.0956569784    h           .48°        c        .004100  .006560

7     295.7513058510                -.48°       .        .003950  .006320

8     338.9008398538    ¦           -1.2°                .003800  .006080

9     388.3458060248    ¦           -1.8°       ¦        .003650  .005840

10    445.0046955390    ¦           -3.3°       ¦        .003500  .005600

11    509.9300056278    ¦           -4.8°       ¦        .003350  .005360

12    584.3277907991                -6.9°                .003200  .005120

13    669.5800665424    saw 0°      -10°        fff      .003050  .004880

 

sequence values:

 

0 1 2 1 3 2 2 4 3 3 3 2 5 4 4 4 3 4 3 3 6 5 5 5 4 5 4 4 5 4 4 4 3 7 6 6 6 5 6 5 5 6 5 5 5 4 6 5 5 5 4 5 4 4 8 7 7 7 6 7 6 6 7 6 6 6 5 7 6 6 6 5 6 5 5 7 6 6 6 5 6 5 5 6 5 5 5 4 9 8 8 8 7 8 7 7 8 7 7 7 6 8 7 7 7 6 7 6 6 8 7 7 7 6 7 6 6 7 6 6 6 5 8 7 7 7 6 7 6 6 7 6 6 6 5 7 6 6 6 5 6 5 5 10 9 9 9 8 9 8 8 9 8 8 8 7 9 8 8 8 7 8 7 7 9 8 8 8 7 8 7 7 8 7 7 7 6 9 8 8 8 7 8 7 7 8 7 7 7 6 8 7 7 7 6 7 6 6 9 8 8 8 7 8 7 7 8 7 7 7 6 8 7 7 7 6 7 6 6 8 7 7 7 6 7 6 6 7 6 6 6 5 11 10 10 10 9 10 9 9 10 9 9 9 8 10 9 9 9 8 9 8 8 10 9 9 9 8 9 8 8 9 8 8 8 7 10 9 9 9 8 9 8 8 9 8 8 8 7 9 8 8 8 7 8 7 7 10 9 9 9 8 9 8 8 9 8 8 8 7 9 8 8 8 7 8 7 7 9 8 8 8 7 8 7 7 8 7 7 7 6 10 9 9 9 8 9 8 8 9 8 8 8 7 9 8 8 8 7 8 7 7 9 8 8 8 7 8 7 7 8 7 7 7 6 9 8 8 8 7 8 7 7 8 7 7 7 6 8 7 7 7 6 7 6 6 12 11 11 11 10 11 10 10 11 10 10 10 9 11 10 10 10 9 10 9 9 11 10 10 10 9 10 9 9 10 9 9 9 8 11 10 10 10 9 10 9 9 10 9 9 9 8 10 9 9 9 8 9 8 8 11 10 10 10 9 10 9 9 10 9 9 9 8 10 9 9 9 8 9 8 8 10 9 9 9 8 9 8 8 9 8 8 8 7 11 10 10 10 9 10 9 9 10 9 9 9 8 10 9 9 9 8 9 8 8 10 9 9 9 8 9 8 8 9 8 8 8 7 10 9 9 9 8 9 8 8 9 8 8 8 7 9 8 8 8 7 8 7 7 11 10 10 10 9 10 9 9 10 9 9 9 8 10 9 9 9 8 9 8 8 10 9 9 9 8 9 8 8 9 8 8 8 7 10 9 9 9 8 9 8 8 9 8 8 8 7 9 8 8 8 7 8 7 7 10 9 9 9 8 9 8 8 9 8 8 8 7 9 8 8 8 7 8 7 7 9 8 8 8 7 8 7 7 8 7 7 7 6 13

 

graph:

 

 

 

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