φ Signature Sequence no. 3

Casey Mongoven

April 25, 2005

description of sequence: Arranging the numbers s + jφ (s,j ≥ 1) in increasing order, the sequence of s’s is the signature sequence of φ.

number of members in sequence used: 635

orientation: ascending

temperament: φ⁶ + 1

lowest pitch: 161.7 Hertz

highest pitch: 699.2236371301 Hertz

length: 46.99 seconds

note value: .074 seconds

waveform: sine 0° → square 0°

simulated spatial location: -15° → 15°

dynamic values: mp → ff

attack: .0055 seconds

release: .0089 seconds

values used:

#   pitch in Hertz   waveform    s.s.l.    dynamic

1    161.7000000000   sine 0°     -15°      mp

2    170.7112321531                  

3    180.2246430627   m           ¦         c

4    190.2682181917   o           ¦         r

5    200.8715025794   r ¦         e

6    212.0656877537   p           ¦         s

7    223.8837034870   h           ¦         c

8    236.3603146646               ¦         e

9    249.5322235529   ¦           ¦         n

10   263.4381777651   ¦           ¦         d

11   278.1190842453   ¦           ¦         o

12   293.6181296030   ¦           ¦        

13   309.9809071554   ¦           ¦         ¦

14   327.2555510479   ¦           ¦         ¦

15   345.4928778500   ¦          ¦         ¦

16   364.7465360415   ¦          ¦         ¦

17   385.0731638295   ¦          ¦         ¦

18   406.5325557603   ¦          ¦         ¦

19   429.1878386160   ¦          ¦         ¦

20   453.1056571136   ¦          ¦         ¦

21   478.3563699532   ¦          ¦         ¦

22   505.0142567904   ¦          ¦         ¦

23   533.1577367445   ¦          ¦         ¦

24   562.8695990824   ¦          ¦         ¦

25   594.2372467589   ¦          ¦         ¦

26   627.3529535281   ¦          ¦         ¦

27   662.3141353846                       

28   699.2236371301   square 0°   15°       ff

s.s.l = simulated spatial location

sequence values:

1 1 2 1 2 1 3 2 1 3 2 4 1 3 2 4 1 3 5 2 4 1 3 5 2 4 1 6 3 5 2 4 1 6 3 5 2 7 4 1 6 3 5 2 7 4 1 6 3 8 5 2 7 4 1 6 3 8 5 2 7 4 9 1 6 3 8 5 2 7 4 9 1 6 3 8 5 10 2 7 4 9 1 6 3 8 5 10 2 7 4 9 1 6 11 3 8 5 10 2 7 4 9 1 6 11 3 8 5 10 2 7 12 4 9 1 6 11 3 8 5 10 2 7 12 4 9 1 6 11 3 8 13 5 10 2 7 12 4 9 1 6 11 3 8 13 5 10 2 7 12 4 9 1 14 6 11 3 8 13 5 10 2 7 12 4 9 1 14 6 11 3 8 13 5 10 2 15 7 12 4 9 1 14 6 11 3 8 13 5 10 2 15 7 12 4 9 1 14 6 11 3 16 8 13 5 10 2 15 7 12 4 9 1 14 6 11 3 16 8 13 5 10 2 15 7 12 4 17 9 1 14 6 11 3 16 8 13 5 10 2 15 7 12 4 17 9 1 14 6 11 3 16 8 13 5 18 10 2 15 7 12 4 17 9 1 14 6 11 3 16 8 13 5 18 10 2 15 7 12 4 17 9 1 14 6 19 11 3 16 8 13 5 18 10 2 15 7 12 4 17 9 1 14 6 19 11 3 16 8 13 5 18 10 2 15 7 20 12 4 17 9 1 14 6 19 11 3 16 8 13 5 18 10 2 15 7 20 12 4 17 9 1 14 6 19 11 3 16 8 21 13 5 18 10 2 15 7 20 12 4 17 9 1 14 6 19 11 3 16 8 21 13 5 18 10 2 15 7 20 12 4 17 9 22 1 14 6 19 11 3 16 8 21 13 5 18 10 2 15 7 20 12 4 17 9 22 1 14 6 19 11 3 16 8 21 13 5 18 10 23 2 15 7 20 12 4 17 9 22 1 14 6 19 11 3 16 8 21 13 5 18 10 23 2 15 7 20 12 4 17 9 22 1 14 6 19 11 24 3 16 8 21 13 5 18 10 23 2 15 7 20 12 4 17 9 22 1 14 6 19 11 24 3 16 8 21 13 5 18 10 23 2 15 7 20 12 25 4 17 9 22 1 14 6 19 11 24 3 16 8 21 13 5 18 10 23 2 15 7 20 12 25 4 17 9 22 1 14 6 19 11 24 3 16 8 21 13 26 5 18 10 23 2 15 7 20 12 25 4 17 9 22 1 14 6 19 11 24 3 16 8 21 13 26 5 18 10 23 2 15 7 20 12 25 4 17 9 22 1 14 27 6 19 11 24 3 16 8 21 13 26 5 18 10 23 2 15 7 20 12 25 4 17 9 22 1 14 27 6 19 11 24 3 16 8 21 13 26 5 18 10 23 2 15 28 7 20 12 25 4 17 9 22 1

graph:

letzte Partitur nächste Partitur

Verzeichniseintrag zu diesem Werk

zum Hauptmenü