Pulse Core Lexicon
Pulsecore Octave Ladder
Definition
The Pulsecore Octave Ladder is how a universe's note rises before it has a body: f_N = f₁ · N / (16 · ℨᵇ). Its Alpha, f₁, sounds as its Pulsecore is sealed, with the 16 bits its first Tempo carries, the Zinf's grain at every level; each time the data within doubles, the Pulsecore sounds the same note one octave higher. Before space there is nothing to vibrate but the data, so the Pulsecore climbs in octaves alone, 2L − 1 of them up to the Null Nova: one at level 1, 403 at ours. Formally f_N [𝕋⁻¹] is the note held with N bits, f₁ [𝕋⁻¹] the Alpha, N [1ᵇ] the data within and 16 · ℨᵇ [1ᵇ] the first Tempo's data. It connects to Alpha Fundamental Frequency, Space Fundamental, Layer Harmonic, Recursive Capacity Growth and Null Nova Condition.
Mathematical Expression
From the book · Chapter 4 · The Note of a Universe
f_N = f₁ · N / (16 · ℨᵇ) [𝕋⁻¹]
Dimensional analysis:
Where (from the book): 16 [1ᵇ], f_N [𝕋⁻¹], f₁ [𝕋⁻¹], N [1ᵇ]
[𝕋⁻¹]
[𝕋⁻¹] × [1ᵇ] ÷ ([∅] × [1ᵇ]) = [𝕋⁻¹·1ᵇ] ÷ ([∅] × [1ᵇ]) = [𝕋⁻¹·1ᵇ] ÷ [1ᵇ] = [𝕋⁻¹]
[𝕋⁻¹] = [𝕋⁻¹] ✓ Valid PulseCore Verified ✓
Each doubling of the data within raises the Alpha one octave, the same note higher.
Where:
- f_N [𝕋⁻¹] – the note the Pulsecore sounds holding N bits
- f₁ [𝕋⁻¹] – the universe's Alpha, one over its Pulse Tempo
- N [1ᵇ] – the data within, (2r)² Zinf bits after r Rhythms
- 16 · ℨᵇ [1ᵇ] – the data of the first Tempo, the Zinf's grain
Technical Details
Category Law
Chapter Chapter 4
Importance
In the book #829 of 1,283 terms · used 1 time