| Z(n) Rep Sequence no. 1 |
|
|
|
|
|
|
|
|
| Casey
Mongoven |
|
|
|
|
|
|
| October
12, 2005 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| PARAMETERS |
GRAPH |
|
SEQUENCE VALUES |
|
|
|
|
|
|
|
|
|
|
|
| description
of sequence: number of unique representations of n |
|
| possible using sums of distinct elements of the Fibonacci |
|
| sequence beginning 4, 1, 5, 6, 11, … |
|
|
|
| number
of members in sequence used: 1309 |
|
| length:
66.759 seconds |
|
|
|
|
|
| note
value: .051 seconds |
|
|
|
|
|
| orientation:
ascending |
|
|
|
|
|
| temperament:
φ^4 + 1 |
|
|
|
|
|
| waveform:
triangle 0° |
|
|
|
|
|
| simulated
spatial location: -22° → 22° |
|
|
|
|
| lowest
pitch: 61 Hertz |
|
|
|
|
|
|
|
| highest
pitch: 1836.4503465526 Hertz |
|
|
|
|
| dynamic
value: pp → ff |
|
|
|
|
|
| attack:
.005 seconds |
|
|
|
|
|
|
| release:
.008 seconds |
|
|
|
|
|
|
| note:
0s rendered as silence |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| # |
|
pitch in Hz |
|
s.s.l. |
|
dynamic |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
|
61.0000000000 |
|
-22° |
|
pp |
|
|
|
|
|
|
|
| 2 |
|
69.8997800588 |
|
|
|
|
|
|
|
|
| 3 |
|
80.0980205289 |
|
¦ |
|
c |
|
|
|
|
|
|
|
| 4 |
|
91.7841642314 |
|
¦ |
|
r |
|
|
|
|
|
|
|
| 5 |
|
105.1752933222 |
|
¦ |
|
e |
|
|
|
|
|
|
|
| 6 |
|
120.5201618170 |
|
¦ |
|
s |
|
|
|
|
|
|
|
| 7 |
|
138.1038164533 |
|
¦ |
|
c |
|
|
|
|
|
|
|
| 8 |
|
158.2528917273 |
|
¦ |
|
e |
|
|
|
|
|
|
|
| 9 |
|
181.3416774656 |
|
¦ |
|
n |
|
|
|
|
|
|
|
| 10 |
|
207.7990716448 |
|
¦ |
|
d |
|
|
|
|
|
|
|
| 11 |
|
238.1165476130 |
|
¦ |
|
o |
|
|
|
|
|
|
|
| 12 |
|
272.8572837131 |
|
¦ |
|
|
|
|
|
|
|
|
| 13 |
|
312.6666249013 |
|
¦ |
|
¦ |
|
|
|
|
|
|
|
| 14 |
|
358.2840706937 |
|
¦ |
|
¦ |
|
|
|
|
|
|
|
| 15 |
|
410.5570121320 |
|
¦ |
|
¦ |
|
|
|
|
|
|
|
| 16 |
|
470.4564729445 |
|
¦ |
|
¦ |
|
|
|
|
|
|
|
| 17 |
|
539.0951473122 |
|
¦ |
|
¦ |
|
|
|
|
|
|
|
| 18 |
|
617.7480693094 |
|
¦ |
|
¦ |
|
|
|
|
|
|
|
| 19 |
|
707.8762979747 |
|
¦ |
|
¦ |
|
|
|
|
|
|
|
| 20 |
|
811.1540579876 |
|
¦ |
|
¦ |
|
|
|
|
|
|
|
| 21 |
|
929.4998401166 |
|
¦ |
|
¦ |
|
|
|
|
|
|
|
| 22 |
|
1065.1120391608 |
|
¦ |
|
¦ |
|
|
|
|
|
|
|
| 23 |
|
1220.5097913982 |
|
¦ |
|
¦ |
|
|
|
|
|
|
|
| 24 |
|
1398.5797701362 |
|
¦ |
|
¦ |
|
|
|
|
|
|
|
| 25 |
|
1602.6298086420 |
|
|
|
|
|
|
|
|
| 26 |
|
1836.4503465526 |
|
22° |
|
ff |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|