Base#
Jodeci#
This is an excellent compression of the RICHER framework into the architecture of music, particularly in terms of piano voicings and their interaction with rhythm. Letâs break it down and refine it further based on your ideas:
RICHER in Music#
Rules (Immutable Foundations)#
The ârulesâ in this context are the fundamental laws of harmony and rhythm: scales, modes, and the theory that governs chord structures. For instance, the diatonic system provides the scaffolding upon which the music operates. These are akin to immutable laws of nature in your neural network analogy.
Instincts (Yellow Node)#
The instincts emerge as the immediate, almost subconscious choices a pianist makes while playingâlike choosing a dominant voicing in a Phrygian mode or instinctively resolving dissonance to consonance. The instinct is what bridges the raw inputs (scales, modes) to the execution of a harmonic framework. These choices reflect a deep, ingrained understanding of musical rules.
Categorization (Compression - Left-Hand Voicings)#
The left-hand voicing is the anchor, the compression layer of harmony. It defines the harmonic spaceâwhether itâs dominant, subdominant, or tonic. A Phrygian dominant voicing, for instance, creates a modal framework that inherently sets up tension. This tension is âcompressedâ into a structure that influences all melodic and dissonant explorations in the right hand.
Emergence (Output - Pulse, Rhythm, and Switch)#
Rhythm serves as the switch and pulseâit creates the temporal framework where harmony and dissonance can dance. Rhythm governs the âwhenâ of harmonic changes, ensuring that pockets of time are created for the left hand (harmony) and right hand (dissonance) to interplay dynamically.
Example: A syncopated rhythm can stretch or compress harmonic and melodic ideas, allowing for tension and release in unique ways. This rhythmic flexibility embodies the presynaptic autonomic gangliaâs role as a switch, coordinating the overall musical flow.
Red Queen (Dynamic Feedback Loop)#
The Red Queen hypothesis comes into play in modal interchange and the constant push for innovation within the combinatorial space of music. A pianist, like a composer, must continually evolve their musical language to maintain equilibrium between predictable harmonic structures and fresh dissonant explorations.
Example: The interplay of modal interchange (e.g., moving from Phrygian dominant to Lydian) keeps the harmonic landscape dynamic, preventing stagnation. This mirrors the evolutionary arms race of the Red Queen.
Refinements for Rhythm#
I agree with your choice to keep rhythm as the presynaptic autonomic ganglia. Rhythm is the fundamental switch and pulse that enables all other layers to align and interact. It dictates the framework within which harmonic and melodic elements operate, creating the âbreathing spaceâ for musical ideas.
Rhythmic Pockets: These allow shifts in left-hand voicing (harmony) and right-hand voicing (dissonance) to feel natural and intentional. Without rhythm acting as a regulating force, the music risks becoming chaotic rather than dynamic.
Final Thoughts#
Your conceptualization aligns beautifully with the REACHER framework, particularly in how the hidden layer (hustle) represents the infinite possibilities within dissonance and modal interplay. Music is inherently about managing tension and release, and your mapping of left-hand voicings, right-hand melodies, and rhythm reflects this balance.
See also
some old notes
If we were to push this further, we could explore how rhythm interacts with harmonic function to dictate the emergence of psychological responses in listenersâtying this back to your ultimate goal of optimizing a psychological output.
Show code cell source
import numpy as np
import matplotlib.pyplot as plt
import networkx as nx
# Define the neural network structure; modified to align with "Aprés Moi, Le Déluge" (i.e. Je suis AlexNet)
def define_layers():
return {
'Pre-Input/CudAlexnet': ['Birds, Song & Life', 'Materials on Earth', 'Particles & Cosmos', 'Harmonic Series', 'Equal Temperament', 'Cadences & Patterns'],
'Yellowstone/SensoryAI': ['Instinct, Speculation'],
'Input/AgenticAI': ['Surprise & Resolution', 'Genre & Expectation'],
'Hidden/GenerativeAI': ['Individual Melody', 'Rhythm & Pocket', 'Chords, One Accord'],
'Output/PhysicalAI': ['Solo Performance', 'Theme & Variation', 'Maestro or Conductor', 'Call & Answer', 'Military Cadence']
}
# Assign colors to nodes
def assign_colors(node, layer):
if node == 'Instinct, Speculation':
return 'yellow'
if layer == 'Pre-Input/CudAlexnet' and node in [ 'Cadences & Patterns']:
return 'paleturquoise'
if layer == 'Pre-Input/CudAlexnet' and node in [ 'Equal Temperament']:
return 'lightgreen'
elif layer == 'Input/AgenticAI' and node == 'Genre & Expectation':
return 'paleturquoise'
elif layer == 'Hidden/GenerativeAI':
if node == 'Chords, One Accord':
return 'paleturquoise'
elif node == 'Rhythm & Pocket':
return 'lightgreen'
elif node == 'Individual Melody':
return 'lightsalmon'
elif layer == 'Output/PhysicalAI':
if node == 'Military Cadence':
return 'paleturquoise'
elif node in ['Call & Answer', 'Maestro or Conductor', 'Theme & Variation']:
return 'lightgreen'
elif node == 'Solo Performance':
return 'lightsalmon'
return 'lightsalmon' # Default color
# Calculate positions for nodes
def calculate_positions(layer, center_x, offset):
layer_size = len(layer)
start_y = -(layer_size - 1) / 2 # Center the layer vertically
return [(center_x + offset, start_y + i) for i in range(layer_size)]
# Create and visualize the neural network graph
def visualize_nn():
layers = define_layers()
G = nx.DiGraph()
pos = {}
node_colors = []
center_x = 0 # Align nodes horizontally
# Add nodes and assign positions
for i, (layer_name, nodes) in enumerate(layers.items()):
y_positions = calculate_positions(nodes, center_x, offset=-len(layers) + i + 1)
for node, position in zip(nodes, y_positions):
G.add_node(node, layer=layer_name)
pos[node] = position
node_colors.append(assign_colors(node, layer_name))
# Add edges (without weights)
for layer_pair in [
('Pre-Input/CudAlexnet', 'Yellowstone/SensoryAI'), ('Yellowstone/SensoryAI', 'Input/AgenticAI'), ('Input/AgenticAI', 'Hidden/GenerativeAI'), ('Hidden/GenerativeAI', 'Output/PhysicalAI')
]:
source_layer, target_layer = layer_pair
for source in layers[source_layer]:
for target in layers[target_layer]:
G.add_edge(source, target)
# Draw the graph
plt.figure(figsize=(12, 8))
nx.draw(
G, pos, with_labels=True, node_color=node_colors, edge_color='gray',
node_size=3000, font_size=10, connectionstyle="arc3,rad=0.1"
)
plt.title("Equal Temperament via Simulation with 808", fontsize=15)
plt.show()
# Run the visualization
visualize_nn()