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S(n) Rep Sequence
Offset
Number of Members Used
Orientation
Temperament
Starting Pitch
Note Value
Attack Roll-Off
Release Roll-Off
Number of Waves
Sine
Triangle
Square
Saw
Brown
Pink
White
Representation Sequences
definition: number of possible representations of n as a sum of distinct elements of the
Fibonacci-type
sequence beginning x, y, …
Para-Fibonacci Sequences
definition: row/column in the Wythoff/Stolarsky array that contains n
Fibonacci-Type Sequence
definition: a summation sequence in which s(n+2) = s(n+1) + s(n); s(0) = x, s(1) = y
Non-Fibonacci Numbers
definition: sequence of all positive non-Fibonacci integers
Fibonacci/Lucas Binary
definition: s(n) = 1 if n is a Fibonacci/Lucas number, else s(n) = 0
Complementary Beatty Sequences/Beatty Sequence
definition: a spectrum sequence based on Phi/phi
definition: two complementary sequences; a spectrum sequence based on Phi, and another
based on phi
Phi/phi Signature Sequence
definition: a signature sequence based on Phi/phi
Sequence A026272
definition: s(n) = s(m) if s(m) has already occurred exactly once and n = s(m) + m + 1, else
s(n) = lowest
positive integer that has not yet occurred.
Pisano Periods
definition: length of period of the Fibonacci sequence modulo n
Fibonacci Entry Points
definition: index number of lowest Fibonacci number that divides n without a remainder
Golden Ratio
definition: (1 ± 5)/2
Reciprocal Fibonacci/Lucas Constant
definition: an irrational number created by summing the reciprocals of the Fibonacci/Lucas
numbers
(1/1+1/1+1/2+1/3+1/5+…)/(1/1+1/3+1/4+1/7+1/11+…)
Zeckendorf Representations/Zeckendorf Voids
definition: n written as a sum of non-consecutive Fibonacci numbers
Zeck Reps Density
definition: number of Fibonacci numbers contained in Zeckendorf representation of n
Binary Zeck Rep 0s Density
definition: number of 0s in binary Zeckendorf representation of n
Max/Min Fibbit Running
definition: number of runs of 1s and 0s in maximal/minimal Fibonacci representation
Rabbit Sequence
definition: binary sequence based on the following rule: start with 1, apply 1 → 10, 0 → 1,
iterate
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