Collection XI

φ^2 and Φ^2 Signature Sequences no. 1

Casey Mongoven

November 5, 2011

Parameters  Sequence Values  Graph
classification of work:audio-visual
synthesis engine:Csound  show Csound orchestra
synthesis technique:granular synthesis with resonance filter
description of sequences sonified:
A167970 Arranging the numbers s + jφ^2 in increasing order, where s and j are positive integers, the sequence of s's is the signature sequence of φ^2. φ is equal to (-1 + sqrt(5))/2. 595 members used
A118276 Arranging the numbers s + jΦ^2 in increasing order, where s and j are positive integers, the sequence of s's is the signature sequence of Φ^2. Φ is equal to (1 + sqrt(5))/2. 595 members used
global static parameters:
offset:1
pitch orientation:ascending
temperament:phi^10 + 1
number of channels:2
note value:0.043 seconds
piece length:25.585 seconds
global and individual dynamic parameters:
A167970
integer resonance center frequency Hzresonance bandwidth % of center frequencydynamic simulated location degreesgrain 
11685.00000014.000000pp-24.869wooden_spoons_seven*.9154+plastic_spoons_eight*.0846
21698.70009313.944444pp-24.585wooden_spoons_seven*.8966+plastic_spoons_eight*.1034
31712.51157513.888889pp-24.301wooden_spoons_seven*.8779+plastic_spoons_eight*.1221
41726.43535413.833333pp-24.017wooden_spoons_seven*.8592+plastic_spoons_eight*.1408
51740.47234213.777778pp-23.733wooden_spoons_seven*.8399+plastic_spoons_eight*.1601
61754.62345913.722222pp-23.448wooden_spoons_seven*.8203+plastic_spoons_eight*.1797
71768.88963313.666667pp-23.164wooden_spoons_seven*.8011+plastic_spoons_eight*.1989
81783.27180113.611111pp-22.880wooden_spoons_seven*.7829+plastic_spoons_eight*.2171
91797.77090413.555556pp-22.596wooden_spoons_seven*.7661+plastic_spoons_eight*.2339
101812.38789413.500000pp-22.312wooden_spoons_seven*.7500+plastic_spoons_eight*.2500
111827.12372913.444444pp-22.028wooden_spoons_seven*.7344+plastic_spoons_eight*.2656
121841.97937513.388889pp-21.743wooden_spoons_seven*.7193+plastic_spoons_eight*.2807
131856.95580713.333333pp-21.459wooden_spoons_seven*.7042+plastic_spoons_eight*.2958
141872.05400713.277778pp-21.175wooden_spoons_seven*.6890+plastic_spoons_eight*.3110
151887.27496413.222222pp-20.891wooden_spoons_seven*.6729+plastic_spoons_eight*.3271
161902.61967713.166667pp-20.607wooden_spoons_seven*.6559+plastic_spoons_eight*.3441
171918.08915313.111111pp-20.323wooden_spoons_seven*.6385+plastic_spoons_eight*.3615
181933.68440413.055556pp-20.038wooden_spoons_seven*.6208+plastic_spoons_eight*.3792
191949.40645513.000000pp-19.754wooden_spoons_seven*.6026+plastic_spoons_eight*.3974
201965.25633612.944444pp-19.470wooden_spoons_seven*.5846+plastic_spoons_eight*.4154
211981.23508612.888889pp-19.186wooden_spoons_seven*.5674+plastic_spoons_eight*.4326
A118276
integer resonance center frequency Hzresonance bandwidth % of center frequencydynamic simulated location degreesgrain 
11685.00000014.000000pp9.524wooden_spoons_one*.9205+plastic_spoons_ten*.0795
21698.70009313.944444pp9.808wooden_spoons_one*.9033+plastic_spoons_ten*.0967
31712.51157513.888889pp10.092wooden_spoons_one*.8861+plastic_spoons_ten*.1139
41726.43535413.833333pp10.376wooden_spoons_one*.8689+plastic_spoons_ten*.1311
51740.47234213.777778pp10.660wooden_spoons_one*.8531+plastic_spoons_ten*.1469
61754.62345913.722222pp10.945wooden_spoons_one*.8387+plastic_spoons_ten*.1613
71768.88963313.666667pp11.229wooden_spoons_one*.8248+plastic_spoons_ten*.1752
81783.27180113.611111pp11.513wooden_spoons_one*.8111+plastic_spoons_ten*.1889
91797.77090413.555556pp11.797wooden_spoons_one*.7973+plastic_spoons_ten*.2027
101812.38789413.500000pp12.081wooden_spoons_one*.7833+plastic_spoons_ten*.2167
111827.12372913.444444pp12.365wooden_spoons_one*.7686+plastic_spoons_ten*.2314
121841.97937513.388889pp12.650wooden_spoons_one*.7522+plastic_spoons_ten*.2478
131856.95580713.333333pp12.934wooden_spoons_one*.7350+plastic_spoons_ten*.2650
141872.05400713.277778pp13.218wooden_spoons_one*.7174+plastic_spoons_ten*.2826
151887.27496413.222222pp13.502wooden_spoons_one*.6998+plastic_spoons_ten*.3002
161902.61967713.166667pp13.786wooden_spoons_one*.6823+plastic_spoons_ten*.3177
171918.08915313.111111pp14.071wooden_spoons_one*.6650+plastic_spoons_ten*.3350
181933.68440413.055556pp14.355wooden_spoons_one*.6479+plastic_spoons_ten*.3521
191949.40645513.000000pp14.639wooden_spoons_one*.6312+plastic_spoons_ten*.3688
201965.25633612.944444pp14.923wooden_spoons_one*.6151+plastic_spoons_ten*.3849
211981.23508612.888889pp15.207wooden_spoons_one*.5995+plastic_spoons_ten*.4005
221997.34375312.833333pp15.491wooden_spoons_one*.5855+plastic_spoons_ten*.4145
232013.58339312.777778pp15.776wooden_spoons_one*.5721+plastic_spoons_ten*.4279
242029.95507212.722222pp16.060wooden_spoons_one*.5586+plastic_spoons_ten*.4414
252046.45986312.666667pp16.344wooden_spoons_one*.5440+plastic_spoons_ten*.4560
262063.09884812.611111pp16.628wooden_spoons_one*.5277+plastic_spoons_ten*.4723
272079.87311812.555556pp16.912wooden_spoons_one*.5112+plastic_spoons_ten*.4888
282096.78377412.500000pp17.197wooden_spoons_one*.4949+plastic_spoons_ten*.5051
292113.83192312.444444p17.481wooden_spoons_one*.4806+plastic_spoons_ten*.5194
302131.01868512.388889p17.765wooden_spoons_one*.4666+plastic_spoons_ten*.5334
312148.34518512.333333p18.049wooden_spoons_one*.4525+plastic_spoons_ten*.5475
322165.81256112.277778p18.333wooden_spoons_one*.4367+plastic_spoons_ten*.5633
332183.42195712.222222p18.617wooden_spoons_one*.4200+plastic_spoons_ten*.5800
342201.17452812.166667p18.902wooden_spoons_one*.4031+plastic_spoons_ten*.5969
352219.07143912.111111p19.186wooden_spoons_one*.3867+plastic_spoons_ten*.6133
362237.11386312.055556p19.470wooden_spoons_one*.3716+plastic_spoons_ten*.6284
372255.30298312.000000p19.754wooden_spoons_one*.3570+plastic_spoons_ten*.6430
382273.63999211.944444p20.038wooden_spoons_one*.3428+plastic_spoons_ten*.6572
392292.12609211.888889p20.323wooden_spoons_one*.3293+plastic_spoons_ten*.6707
402310.76249511.833333p20.607wooden_spoons_one*.3158+plastic_spoons_ten*.6842
412329.55042411.777778p20.891wooden_spoons_one*.3020+plastic_spoons_ten*.6980
422348.49111011.722222p21.175wooden_spoons_one*.2867+plastic_spoons_ten*.7133
432367.58579611.666667p21.459wooden_spoons_one*.2701+plastic_spoons_ten*.7299
442386.83573411.611111p21.743wooden_spoons_one*.2531+plastic_spoons_ten*.7469
452406.24218511.555556p22.028wooden_spoons_one*.2365+plastic_spoons_ten*.7635
462425.80642311.500000p22.312wooden_spoons_one*.2213+plastic_spoons_ten*.7787
472445.52973011.444444p22.596wooden_spoons_one*.2067+plastic_spoons_ten*.7933
482465.41340011.388889p22.880wooden_spoons_one*.1924+plastic_spoons_ten*.8076
492485.45873711.333333p23.164wooden_spoons_one*.1783+plastic_spoons_ten*.8217
502505.66705411.277778p23.448wooden_spoons_one*.1645+plastic_spoons_ten*.8355
512526.03967811.222222p23.733wooden_spoons_one*.1510+plastic_spoons_ten*.8490
522546.57794311.166667p24.017wooden_spoons_one*.1389+plastic_spoons_ten*.8611
532567.28319811.111111p24.301wooden_spoons_one*.1283+plastic_spoons_ten*.8717
542588.15679811.055556p24.585wooden_spoons_one*.1159+plastic_spoons_ten*.8841
552609.20011511.000000p24.869wooden_spoons_one*.1000+plastic_spoons_ten*.9000