{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "(presidents)=\n", "# Presidents\n", "## Faith, Hope, Love\n", "\n", "> *From the point of view of form, the archetype of all the arts is the musicians*\n", "\n", "\n", " 1. Phonetics\n", " \\\n", " 2. Temperament -> 4. Modes -> 5. NexToken -> 6. Emotion\n", " /\n", " 3. Scales\n", "\n", "```{figure} ../figures/blanche.*\n", "---\n", "width: 1\n", "height: 1\n", "---\n", "_These six topics cover all aspects of music_. Challenge GPT-4o or any other ChatBot to find a issue that isn't seamlessly subsumed by one of these headlines\n", "```\n", "\n", "\n", "\n", "```{figure} ../figures/blanche.*\n", "---\n", "width: 1\n", "height: 1\n", "---\n", "_Pretty Boy Swag by Soulja Boy Tell 'Em_. An eloquent example of a half-Phrygian scale (`III-♭II-i`) that is quite extensively used in Trap Musik\n", "```\n", "\n", "\n", "\n", "```{figure} ../figures/blanche.*\n", "---\n", "width: 1\n", "height: 1\n", "---\n", "_Reharming a very well known nursery & kindergarten melody_. Don't focus on the \"pocket\" and groove, or lack thereof. Just stick to the idea for now\n", "```\n", "\n", "" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "tags": [ "hide-input" ] }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import networkx as nx\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "# Create a directed graph\n", "G = nx.DiGraph()\n", "\n", "# Add nodes representing different levels (subatomic, atomic, cosmic, financial, social)\n", "levels = ['i: Obama', 'ii7♭5: Trump', 'V7: Clinton']\n", "\n", "# Add nodes to the graph\n", "G.add_nodes_from(levels)\n", "\n", "# Add edges to represent the flow of information (photons)\n", "# Assuming the flow is directional from more fundamental levels to more complex ones\n", "edges = [('ii7♭5: Trump', 'V7: Clinton'),\n", " ('V7: Clinton', 'i: Obama'),]\n", "\n", "# Add edges to the graph\n", "G.add_edges_from(edges)\n", "\n", "# Define positions for the nodes in a circular layout\n", "pos = nx.circular_layout(G)\n", "\n", "# Set the figure size (width, height)\n", "plt.figure(figsize=(10, 10)) # Adjust the size as needed\n", "\n", "# Draw the main nodes\n", "nx.draw_networkx_nodes(G, pos, node_color='lightblue', node_size=30000)\n", "\n", "# Draw the edges with arrows and create space between the arrowhead and the node\n", "nx.draw_networkx_edges(G, pos, arrowstyle='->', arrowsize=20, edge_color='grey',\n", " connectionstyle='arc3,rad=0.2') # Adjust rad for more/less space\n", "\n", "# Add smaller red nodes (photon nodes) exactly on the circular layout\n", "for edge in edges:\n", " # Calculate the vector between the two nodes\n", " vector = pos[edge[1]] - pos[edge[0]]\n", " # Calculate the midpoint\n", " mid_point = pos[edge[0]] + 0.5 * vector\n", " # Normalize to ensure it's on the circle\n", " radius = np.linalg.norm(pos[edge[0]])\n", " mid_point_on_circle = mid_point / np.linalg.norm(mid_point) * radius\n", " # Draw the small red photon node at the midpoint on the circular layout\n", " plt.scatter(mid_point_on_circle[0], mid_point_on_circle[1], c='lightpink', s=500, zorder=3)\n", "\n", " # Draw a small lime green arrow inside the red node to indicate direction\n", " arrow_vector = vector / np.linalg.norm(vector) * 0.1 # Scale down arrow size\n", " plt.arrow(mid_point_on_circle[0] - 0.05 * arrow_vector[0],\n", " mid_point_on_circle[1] - 0.05 * arrow_vector[1],\n", " arrow_vector[0], arrow_vector[1],\n", " head_width=0.03, head_length=0.05, fc='limegreen', ec='limegreen', zorder=4)\n", "\n", "# Draw the labels for the main nodes\n", "nx.draw_networkx_labels(G, pos, font_size=18, font_weight='normal')\n", "\n", "# Add a legend for \"Photon/Info\"\n", "plt.scatter([], [], c='lightpink', s=100, label='Chord Progression') # Empty scatter for the legend\n", "plt.legend(scatterpoints=1, frameon=True, labelspacing=1, loc='upper right')\n", "\n", "# Set the title and display the plot\n", "plt.title('Emotional Arc', fontsize=15)\n", "plt.axis('off')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\n", "```{figure} ../figures/blanche.*\n", "---\n", "width: 1\n", "height: 1\n", "---\n", "_Faith, Love, Hope_. Trump, Clinton, Obama. Clinton is technology `V7`. Obama is resentment `i`. No, no, no. Yes, yes. And Trump is entitlement `ii7b5`. Basically, Trump is the `past`, undergoing decline, reminiscing about the past, the golden past, la belle époque. Obama is painting the vision for the `future` for the sufferers, hope, just like Jesus. Clinton is like Silicon Valley, the `now`, you know, the technology and engineering, the numbers, the data, empiricism. `Your` characterization of these political figures as symbols of broader societal forces is intriguing, though I think it might be worth exploring their roles with a bit more nuance. `Clinton`, as a symbol of technology, represents the optimism of the 1990s—a time when globalization and the internet were seen as harbingers of progress. His presidency coincided with the rise of Silicon Valley, and his policies often reflected a technocratic approach to governance, emphasizing data, pragmatism, and economic expansion. However, this technocratic focus also sowed the seeds for future discontent, as the benefits of technological and economic growth weren't evenly distributed. `Obama`, framed as resentment, is perhaps more accurately seen as the embodiment of aspiration and the promise of progress, particularly for those who felt left behind or marginalized by the rapid changes of the previous decades. His message of hope resonated with many who were disillusioned by the status quo, offering a vision of an inclusive future. However, this very vision also exposed deep divides in American society, as it highlighted ongoing inequalities and the unfulfilled promises of the American Dream. `Trump`, symbolizing entitlement and the past, certainly reflects a yearning for a bygone era—\"Make America Great Again\" is the essence of nostalgia for a time when many felt more secure in their social and economic status. His appeal to a return to a \"golden age\" speaks to a segment of society that perceives itself as losing ground in the face of globalization, technological advancement, and shifting cultural norms. The entitlement comes from a belief that something has been unfairly taken away and must be restored. `These` figures represent distinct visions of America's trajectory: Clinton with a data-driven, technocratic present; Obama with a hopeful but contentious vision of a more equitable future; and Trump with a backward-looking, protectionist past. Each embodies a particular response to the rapid changes and challenges of our time, with their own set of contradictions and complexities.\n", "```\n", "\n", "```{margin}\n", "\n", "
\n", " Ecc 3:16\n", "\n", "- 16 And moreover I saw under the sun the place of judgment, that wickedness was there; and the place of righteousness, that iniquity was there.\n", "\n", "- 17 I said in mine heart, God shall judge the righteous and the wicked: for there is a time there for every purpose and for every work.\n", "\n", "- 18 I said in mine heart concerning the estate of the sons of men, that God might manifest them, and that they might see that they themselves are beasts.\n", "\n", "- 19 For that which befalleth the sons of men befalleth beasts; even one thing befalleth them: as the one dieth, so dieth the other; yea, they have all one breath; so that a man hath no preeminence above a beast: for all is vanity.\n", "\n", "- 20 All go unto one place; all are of the dust, and all [re]`turn` to dust again.\n", "\n", "- 21 Who knoweth the spirit of man that goeth `upward`, and the spirit of the beast that goeth `downward` to the earth?\n", "\n", "- 22 Wherefore I perceive that there is nothing better, than that a man should `rejoice` in his own works; for that is his portion: for who shall bring him to see what shall be after him?\n", "\n", " - Truly love of thy `current` work exceedeth faith in the `past` deeds of thine forbears and hopeful overcoming in the `future`\n", "\n", "
\n", "\n", "```\n", "\n", "### `ii` $\\mu$ Single Note\n", "- `ii` $f(t)$ Phonetics: {cite}`alighieri1984paradiso` {cite}`milton2003paradise` `Fractals` $440Hz \\times 2^{\\frac{N}{12}}$, $S_0(t) \\times e^{logHR}$, $\\frac{S N(d_1)}{K N(d_2)} \\times e^{rT}$\n" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "tags": [ "hide-input", "hide-output" ] }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "# Parameters\n", "sample_rate = 44100 # Hz\n", "duration = 20.0 # seconds\n", "A4_freq = 440.0 # Hz\n", "\n", "# Time array\n", "t = np.linspace(0, duration, int(sample_rate * duration), endpoint=False)\n", "\n", "# Fundamental frequency (A4)\n", "signal = np.sin(2 * np.pi * A4_freq * t)\n", "\n", "# Adding overtones (harmonics)\n", "harmonics = [2, 3, 4, 5, 6, 7, 8, 9] # First few harmonics\n", "amplitudes = [0.5, 0.25, 0.15, 0.1, 0.05, 0.03, 0.01, 0.005] # Amplitudes for each harmonic\n", "\n", "for i, harmonic in enumerate(harmonics):\n", " signal += amplitudes[i] * np.sin(2 * np.pi * A4_freq * harmonic * t)\n", "\n", "# Perform FFT (Fast Fourier Transform)\n", "N = len(signal)\n", "yf = np.fft.fft(signal)\n", "xf = np.fft.fftfreq(N, 1 / sample_rate)\n", "\n", "# Plot the frequency spectrum\n", "plt.figure(figsize=(12, 6))\n", "plt.plot(xf[:N//2], 2.0/N * np.abs(yf[:N//2]), color='navy', lw=1.5)\n", "\n", "# Aesthetics improvements\n", "plt.title('Simulated Frequency Spectrum of A440 on a Grand Piano', fontsize=16, weight='bold')\n", "plt.xlabel('Frequency (Hz)', fontsize=14)\n", "plt.ylabel('Amplitude', fontsize=14)\n", "plt.xlim(0, 4186) # Limit to the highest frequency on a piano (C8)\n", "plt.ylim(0, None)\n", "\n", "# Shading the region for normal speaking range (approximately 85 Hz to 255 Hz)\n", "plt.axvspan(500, 2000, color='lightpink', alpha=0.5)\n", "\n", "# Annotate the shaded region\n", "plt.annotate('Normal Speaking Range (500 Hz - 2000 Hz)',\n", " xy=(2000, 0.7), xycoords='data',\n", " xytext=(2500, 0.5), textcoords='data',\n", " arrowprops=dict(facecolor='black', arrowstyle=\"->\"),\n", " fontsize=12, color='black')\n", "\n", "# Remove top and right spines\n", "plt.gca().spines['top'].set_visible(False)\n", "plt.gca().spines['right'].set_visible(False)\n", "\n", "# Customize ticks\n", "plt.xticks(fontsize=12)\n", "plt.yticks(fontsize=12)\n", "\n", "# Light grid\n", "plt.grid(color='grey', linestyle=':', linewidth=0.5)\n", "\n", "# Show the plot\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "- `V7` $S(t)$ Temperament: $440Hz \\times 2^{\\frac{N}{12}}$\n", "- `i` $h(t)$ Scales: 12 unique notes x 7 modes (Bach covers only x 2 modes in WTK)\n", " - Soulja Boy has an incomplete Phrygian in PBS \n", " - [Flamenco Phyrgian](https://www.youtube.com/watch?v=yRggh1XXZZI) scale is equivalent to a Mixolydian `V9♭♯9♭13`\n", "\n", "### `V7` $\\sigma$ Chord Stacks\n", "- $(X'X)^T \\cdot X'Y$: Mode: $\n", "\\mathcal{F}(t) = \\alpha \\cdot \\left( \\prod_{i=1}^{n} \\frac{\\partial \\psi_i(t)}{\\partial t} \\right) + \\beta \\cdot \\int_{0}^{t} \\left( \\sum_{j=1}^{m} \\frac{\\partial \\phi_j(\\tau)}{\\partial \\tau} \\right) d\\tau$ " ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "tags": [ "hide-input", "hide-output" ] }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "# Clock settings; f(t) random disturbances making \"paradise lost\"\n", "clock_face_radius = 1.0\n", "number_of_ticks = 7\n", "tick_labels = [\n", " \"Root-iADL (i)\",\n", " \"Hunter-gather (ii7♭5)\", \"Peasant (III)\", \"Farmer (iv)\", \"Manufacturer (V7♭9♯9♭13)\",\n", " \"Energy (VI)\", \"Transport (VII)\"\n", "]\n", "\n", "# Calculate the angles for each tick (in radians)\n", "angles = np.linspace(0, 2 * np.pi, number_of_ticks, endpoint=False)\n", "# Inverting the order to make it counterclockwise\n", "angles = angles[::-1]\n", "\n", "# Create figure and axis\n", "fig, ax = plt.subplots(figsize=(8, 8))\n", "ax.set_xlim(-1.2, 1.2)\n", "ax.set_ylim(-1.2, 1.2)\n", "ax.set_aspect('equal')\n", "\n", "# Draw the clock face\n", "clock_face = plt.Circle((0, 0), clock_face_radius, color='lightgrey', fill=True)\n", "ax.add_patch(clock_face)\n", "\n", "# Draw the ticks and labels\n", "for angle, label in zip(angles, tick_labels):\n", " x = clock_face_radius * np.cos(angle)\n", " y = clock_face_radius * np.sin(angle)\n", " \n", " # Draw the tick\n", " ax.plot([0, x], [0, y], color='black')\n", " \n", " # Positioning the labels slightly outside the clock face\n", " label_x = 1.1 * clock_face_radius * np.cos(angle)\n", " label_y = 1.1 * clock_face_radius * np.sin(angle)\n", " \n", " # Adjusting label alignment based on its position\n", " ha = 'center'\n", " va = 'center'\n", " if np.cos(angle) > 0:\n", " ha = 'left'\n", " elif np.cos(angle) < 0:\n", " ha = 'right'\n", " if np.sin(angle) > 0:\n", " va = 'bottom'\n", " elif np.sin(angle) < 0:\n", " va = 'top'\n", " \n", " ax.text(label_x, label_y, label, horizontalalignment=ha, verticalalignment=va, fontsize=10)\n", "\n", "# Remove axes\n", "ax.axis('off')\n", "\n", "# Show the plot\n", "plt.show()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### `i` $\\%$ Predict NexToken\n", "- $\\alpha, \\beta, t$ NexToken: Attention, to the minor, major, dom7, and half-dim7 groupings, is all you need {cite}`vaswani2017attention`\n" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "tags": [ "hide-input", "hide-output" ] }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "# Clock settings; f(t) random disturbances making \"paradise lost\"\n", "clock_face_radius = 1.0\n", "number_of_ticks = 9\n", "tick_labels = [\n", " \"Sun-Genomics\", \"Chlorophyll-Transcriptomics\", \"Flora-Proteomics\", \"Animals-Metabolomics\",\n", " \"Wood-Epigenomics\", \"Coal-Lipidomics\", \"Hydrocarbons-Glycomics\", \"Renewable-Metagenomics\", \"Nuclear-Phenomics\"\n", "]\n", "\n", "# Calculate the angles for each tick (in radians)\n", "angles = np.linspace(0, 2 * np.pi, number_of_ticks, endpoint=False)\n", "# Inverting the order to make it counterclockwise\n", "angles = angles[::-1]\n", "\n", "# Create figure and axis\n", "fig, ax = plt.subplots(figsize=(8, 8))\n", "ax.set_xlim(-1.2, 1.2)\n", "ax.set_ylim(-1.2, 1.2)\n", "ax.set_aspect('equal')\n", "\n", "# Draw the clock face\n", "clock_face = plt.Circle((0, 0), clock_face_radius, color='lightgrey', fill=True)\n", "ax.add_patch(clock_face)\n", "\n", "# Draw the ticks and labels\n", "for angle, label in zip(angles, tick_labels):\n", " x = clock_face_radius * np.cos(angle)\n", " y = clock_face_radius * np.sin(angle)\n", " \n", " # Draw the tick\n", " ax.plot([0, x], [0, y], color='black')\n", " \n", " # Positioning the labels slightly outside the clock face\n", " label_x = 1.1 * clock_face_radius * np.cos(angle)\n", " label_y = 1.1 * clock_face_radius * np.sin(angle)\n", " \n", " # Adjusting label alignment based on its position\n", " ha = 'center'\n", " va = 'center'\n", " if np.cos(angle) > 0:\n", " ha = 'left'\n", " elif np.cos(angle) < 0:\n", " ha = 'right'\n", " if np.sin(angle) > 0:\n", " va = 'bottom'\n", " elif np.sin(angle) < 0:\n", " va = 'top'\n", " \n", " ax.text(label_x, label_y, label, horizontalalignment=ha, verticalalignment=va, fontsize=10)\n", "\n", "# Remove axes\n", "ax.axis('off')\n", "\n", "# Show the plot\n", "plt.show()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "- $SV_t'$ Emotion: How many degrees of freedom does a composer, performer, or audience member have within a genre? We've roped in the audience as a reminder that music has no passive participants\n" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "tags": [ "hide-input", "hide-output" ] }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "# Define the total utility function U(Q)\n", "def total_utility(Q):\n", " return 100 * np.log(Q + 1) # Logarithmic utility function for illustration\n", "\n", "# Define the marginal utility function MU(Q)\n", "def marginal_utility(Q):\n", " return 100 / (Q + 1) # Derivative of the total utility function\n", "\n", "# Generate data\n", "Q = np.linspace(1, 100, 500) # Quantity range from 1 to 100\n", "U = total_utility(Q)\n", "MU = marginal_utility(Q)\n", "\n", "# Plotting\n", "plt.figure(figsize=(14, 7))\n", "\n", "# Plot Total Utility\n", "plt.subplot(1, 2, 1)\n", "plt.plot(Q, U, label=r'Total Utility $U(Q) = 100 \\log(Q + 1)$', color='blue')\n", "plt.title('Total Utility')\n", "plt.xlabel('Quantity (Q)')\n", "plt.ylabel('Total Utility (U)')\n", "plt.legend()\n", "plt.grid(True)\n", "\n", "# Plot Marginal Utility\n", "plt.subplot(1, 2, 2)\n", "plt.plot(Q, MU, label=r'Marginal Utility $MU(Q) = \\frac{dU(Q)}{dQ} = \\frac{100}{Q + 1}$', color='red')\n", "plt.title('Marginal Utility')\n", "plt.xlabel('Quantity (Q)')\n", "plt.ylabel('Marginal Utility (MU)')\n", "plt.legend()\n", "plt.grid(True)\n", "\n", "# Adding some calculus notation and Greek symbols\n", "plt.figtext(0.5, 0.02, r\"$MU(Q) = \\frac{dU(Q)}{dQ} = \\lim_{\\Delta Q \\to 0} \\frac{U(Q + \\Delta Q) - U(Q)}{\\Delta Q}$\", ha=\"center\", fontsize=12)\n", "\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "tags": [ "hide-input", "hide-output" ] }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "from matplotlib.cm import ScalarMappable\n", "from matplotlib.colors import LinearSegmentedColormap, PowerNorm\n", "\n", "def gaussian(x, mean, std_dev, amplitude=1):\n", " return amplitude * np.exp(-0.9 * ((x - mean) / std_dev) ** 2)\n", "\n", "def overlay_gaussian_on_line(ax, start, end, std_dev):\n", " x_line = np.linspace(start[0], end[0], 100)\n", " y_line = np.linspace(start[1], end[1], 100)\n", " mean = np.mean(x_line)\n", " y = gaussian(x_line, mean, std_dev, amplitude=std_dev)\n", " ax.plot(x_line + y / np.sqrt(2), y_line + y / np.sqrt(2), color='red', linewidth=2.5)\n", "\n", "fig, ax = plt.subplots(figsize=(10, 10))\n", "\n", "intervals = np.linspace(0, 100, 11)\n", "custom_means = np.linspace(1, 23, 10)\n", "custom_stds = np.linspace(.5, 10, 10)\n", "\n", "# Change to 'viridis' colormap to get gradations like the older plot\n", "cmap = plt.get_cmap('viridis')\n", "norm = plt.Normalize(custom_stds.min(), custom_stds.max())\n", "sm = ScalarMappable(cmap=cmap, norm=norm)\n", "sm.set_array([])\n", "\n", "median_points = []\n", "\n", "for i in range(10):\n", " xi, xf = intervals[i], intervals[i+1]\n", " x_center, y_center = (xi + xf) / 2 - 20, 100 - (xi + xf) / 2 - 20\n", " x_curve = np.linspace(custom_means[i] - 3 * custom_stds[i], custom_means[i] + 3 * custom_stds[i], 200)\n", " y_curve = gaussian(x_curve, custom_means[i], custom_stds[i], amplitude=15)\n", " \n", " x_gauss = x_center + x_curve / np.sqrt(2)\n", " y_gauss = y_center + y_curve / np.sqrt(2) + x_curve / np.sqrt(2)\n", " \n", " ax.plot(x_gauss, y_gauss, color=cmap(norm(custom_stds[i])), linewidth=2.5)\n", " median_points.append((x_center + custom_means[i] / np.sqrt(2), y_center + custom_means[i] / np.sqrt(2)))\n", "\n", "median_points = np.array(median_points)\n", "ax.plot(median_points[:, 0], median_points[:, 1], '--', color='grey')\n", "start_point = median_points[0, :]\n", "end_point = median_points[-1, :]\n", "overlay_gaussian_on_line(ax, start_point, end_point, 24)\n", "\n", "ax.grid(True, linestyle='--', linewidth=0.5, color='grey')\n", "ax.set_xlim(-30, 111)\n", "ax.set_ylim(-20, 87)\n", "\n", "# Create a new ScalarMappable with a reversed colormap just for the colorbar\n", "cmap_reversed = plt.get_cmap('viridis').reversed()\n", "sm_reversed = ScalarMappable(cmap=cmap_reversed, norm=norm)\n", "sm_reversed.set_array([])\n", "\n", "# Existing code for creating the colorbar\n", "cbar = fig.colorbar(sm_reversed, ax=ax, shrink=1, aspect=90)\n", "\n", "# Specify the tick positions you want to set\n", "custom_tick_positions = [0.5, 5, 8, 10] # example positions, you can change these\n", "cbar.set_ticks(custom_tick_positions)\n", "\n", "# Specify custom labels for those tick positions\n", "custom_tick_labels = ['5', '3', '1', '0'] # example labels, you can change these\n", "cbar.set_ticklabels(custom_tick_labels)\n", "\n", "# Label for the colorbar\n", "cbar.set_label(r'♭', rotation=0, labelpad=15, fontstyle='italic', fontsize=24)\n", "\n", "\n", "# Label for the colorbar\n", "cbar.set_label(r'♭', rotation=0, labelpad=15, fontstyle='italic', fontsize=24)\n", "\n", "\n", "cbar.set_label(r'♭', rotation=0, labelpad=15, fontstyle='italic', fontsize=24)\n", "\n", "# Add X and Y axis labels with custom font styles\n", "ax.set_xlabel(r'Principal Component', fontstyle='italic')\n", "ax.set_ylabel(r'Emotional State', rotation=0, fontstyle='italic', labelpad=15)\n", "\n", "# Add musical modes as X-axis tick labels\n", "# musical_modes = [\"Ionian\", \"Dorian\", \"Phrygian\", \"Lydian\", \"Mixolydian\", \"Aeolian\", \"Locrian\"]\n", "greek_letters = ['α', 'β','γ', 'δ', 'ε', 'ζ', 'η'] # 'θ' , 'ι', 'κ'\n", "mode_positions = np.linspace(ax.get_xlim()[0], ax.get_xlim()[1], len(greek_letters))\n", "ax.set_xticks(mode_positions)\n", "ax.set_xticklabels(greek_letters, rotation=0)\n", "\n", "# Add moods as Y-axis tick labels\n", "moods = [\"flow\", \"control\", \"relaxed\", \"bored\", \"apathy\",\"worry\", \"anxiety\", \"arousal\"]\n", "mood_positions = np.linspace(ax.get_ylim()[0], ax.get_ylim()[1], len(moods))\n", "ax.set_yticks(mood_positions)\n", "ax.set_yticklabels(moods)\n", "\n", "# ... (rest of the code unchanged)\n", "\n", "\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "```{figure} ../figures/blanche.png\n", "---\n", "width: 1\n", "height: 1\n", "---\n", "_Emotion & Affect as Outcomes & Freewill_. And the predictors $\\beta$ are `MQ-TEA`: Modes (ionian, dorian, phrygian, lydian, mixolydian, `locrian`), Qualities (major, minor, dominant, suspended, diminished, half-dimished, augmented), Tensions (7th), Extensions (9th, 11th, 13th), and Alterations (♯, ♭) {cite}`sapolsky2023determined`\n", "```" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\n", " 1. f(t)\n", " \\\n", " 2. S(t) -> 4. Nxb:t(X'X).X'Y -> 5. b -> 6. df\n", " /\n", " 3. h(t)\n", "\n", "[moiety](../pdfs/basesurv.pdf)\n", "\n", "\n", "```{margin}\n", "\n", "
\n", " \n", "\n", "\n", "`ii`. That's a fascinating way to look at it—cocktails as a \"homecoming\" for spirits like whisky, returning some of the complexity and nuances that were distilled away. In distillation, a lot of the original flavors and components of the base liquid (like the wash in whisky) are removed, leaving a spirit that is more concentrated in alcohol but often simpler in its raw form. The aging process in barrels adds back complexity, but it’s a different kind of complexity—more about wood, time, and oxidation than the original ingredients.\n", "\n", "`V7`. Cocktails, in a way, reintroduce some of that lost complexity by blending the spirit with other ingredients—sugars, bitters, citrus, herbs, and other flavor elements. These additions can bring back the sweetness, acidity, and layered flavors that distillation might strip away. It’s almost like reconstructing the richness and diversity of the original mash or wash, but with a modern twist. (think of the alterations available to a dominant chord)\n", "\n", "`i`. So yes, cocktails could be seen as a \"homecoming,\" where the distilled spirit returns to a fuller, more complex state—echoing the flavors and balance that were present before distillation, while also introducing new layers and dimensions through the art of mixology.\n", "\n", "
\n", "\n", "```" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.4" }, "widgets": { "application/vnd.jupyter.widget-state+json": { "state": {}, "version_major": 2, "version_minor": 0 } } }, "nbformat": 4, "nbformat_minor": 4 }