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@Sin-tel
Created May 12, 2025 00:44
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "1670b122-0381-44c3-9627-57c1810113d3",
"metadata": {},
"outputs": [],
"source": [
"import math\n",
"import csv\n",
"from fractions import Fraction\n",
"\n",
"import numpy as np\n",
"import scipy\n",
"import matplotlib.pyplot as plt\n",
"import statsmodels.api as sm"
]
},
{
"cell_type": "markdown",
"id": "ce3825de-35a2-483f-9fc1-8c1c3c0740e6",
"metadata": {},
"source": [
"# Setup and parsing data\n",
"\n",
"Interval rating data from:\n",
"\n",
"Masina, I., Lo Presti, G. & Stanzial, D. Dyad’s consonance and dissonance: combining the compactness and roughness approaches. Eur. Phys. J. Plus 137, 1254 (2022). https://doi.org/10.1140/epjp/s13360-022-03456-2"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "4a31b590-54fa-46e1-b1fe-0b9e63e5314e",
"metadata": {},
"outputs": [],
"source": [
"savefigs = False # enable to export SVGs"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "d5849ce4-bb15-4ddf-b0fa-77616329b52f",
"metadata": {},
"outputs": [],
"source": [
"def cents(p, q):\n",
" return float(1200 * np.log2(p / q))"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "c435aef2-94b9-47e4-8760-fb512da6f872",
"metadata": {},
"outputs": [],
"source": [
"primes = np.array([2, 3, 5, 7, 11, 13, 17, 19])\n",
"log_primes = np.log2(primes)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "a6178134-32cb-4d3a-83c6-23079b4e15a8",
"metadata": {},
"outputs": [],
"source": [
"# prime factorization\n",
"def factors(p, q):\n",
" f_vector = np.zeros((len(primes)), dtype=np.int64)\n",
"\n",
" assert p > 0\n",
" assert q > 0\n",
"\n",
" for i, f in enumerate(primes):\n",
" while p % f == 0:\n",
" p //= f\n",
" f_vector[i] += 1\n",
" while q % f == 0:\n",
" q //= f\n",
" f_vector[i] -= 1\n",
"\n",
" assert p == 1 and q == 1\n",
"\n",
" return f_vector"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "42d891c5-34be-44b9-9315-67016c7a74fe",
"metadata": {},
"outputs": [],
"source": [
"def parse_ratio_data(csv_string):\n",
" parsed_data = {\n",
" \"cents\": [], # Interval span in cents\n",
" \"p\": [], # Numerator (e.g., 33)\n",
" \"q\": [], # Denominator (e.g., 32)\n",
" \"mean\": [], # Mean consonance rating\n",
" \"stddev\": [], # Standard deviation of ratings\n",
" \"ratio_str\": [], # Ratio as a string\n",
" }\n",
" lines = csv_string.strip().split(\"\\n\")\n",
" reader = csv.reader(lines)\n",
" # Skip header row\n",
" next(reader)\n",
"\n",
" for row in reader:\n",
" assert len(row) == 3\n",
" ratio_str, mean_str, stddev_str = row\n",
"\n",
" # Parse ratio\n",
" ratio_str = ratio_str.strip()\n",
" parsed_data[\"ratio_str\"].append(ratio_str)\n",
"\n",
" # Parse fraction\n",
" frac = Fraction(ratio_str)\n",
" p, q = frac.numerator, frac.denominator\n",
"\n",
" # Store values\n",
" parsed_data[\"p\"].append(p)\n",
" parsed_data[\"q\"].append(q)\n",
" parsed_data[\"cents\"].append(cents(p, q))\n",
"\n",
" # Parse mean and stddev\n",
" parsed_data[\"mean\"].append(float(mean_str))\n",
"\n",
" parsed_data[\"stddev\"].append(float(stddev_str))\n",
"\n",
" return parsed_data"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "72680e40-2ad7-48a2-bd21-a832e774f25e",
"metadata": {},
"outputs": [],
"source": [
"with open(\"rating_data.csv\") as f:\n",
" data = parse_ratio_data(f.read())"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "2b5f2928-7417-48cd-ba09-68e8dd2b6ffd",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"ratio\tcents\n",
"33/32\t53.27\n",
"16/15\t111.73\n",
"11/10\t165.00\n",
"9/8\t203.91\n",
"7/6\t266.87\n",
"6/5\t315.64\n",
"11/9\t347.41\n",
"5/4\t386.31\n",
"9/7\t435.08\n",
"4/3\t498.04\n",
"11/8\t551.32\n",
"7/5\t582.51\n",
"16/11\t648.68\n",
"3/2\t701.96\n",
"14/9\t764.92\n",
"8/5\t813.69\n",
"18/11\t852.59\n",
"5/3\t884.36\n",
"7/4\t968.83\n",
"9/5\t1017.60\n",
"11/6\t1049.36\n",
"15/8\t1088.27\n",
"27/14\t1137.04\n",
"2/1\t1200.00\n",
"33/16\t1253.27\n",
"32/15\t1311.73\n",
"9/4\t1403.91\n",
"12/5\t1515.64\n",
"5/2\t1586.31\n",
"8/3\t1698.04\n",
"14/5\t1782.51\n",
"3/1\t1901.96\n",
"16/5\t2013.69\n",
"10/3\t2084.36\n",
"7/2\t2168.83\n",
"18/5\t2217.60\n",
"15/4\t2288.27\n",
"4/1\t2400.00\n"
]
}
],
"source": [
"print(\"ratio\\tcents\")\n",
"for r, c in zip(data[\"ratio_str\"], data[\"cents\"]):\n",
" print(f\"{r}\\t{c:.2f}\")"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "7328857f-1b5a-4290-9dad-c16e08cb6fd1",
"metadata": {},
"outputs": [],
"source": [
"# Load precalculated harmonic entropy data\n",
"with open(\"entropy.csv\") as f:\n",
" he = {}\n",
" reader = csv.reader(f)\n",
" for row in reader:\n",
" ratio_str, ratio_he = row\n",
" he[ratio_str] = float(ratio_he) / 100"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "cefb6bfc-ed01-45ab-bef7-b7448cb00189",
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
"<Figure size 1200x400 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(12, 4))\n",
"\n",
"# Plot the mean consonance ratings\n",
"plt.errorbar(\n",
" data[\"cents\"],\n",
" data[\"mean\"],\n",
" yerr=data[\"stddev\"],\n",
" fmt=\"o\",\n",
" ecolor=\"#6CA6CE\",\n",
" capsize=5,\n",
")\n",
"\n",
"# Add labels for each point showing the ratio\n",
"for i, (x, y, p, q) in enumerate(\n",
" zip(data[\"cents\"], data[\"mean\"], data[\"p\"], data[\"q\"])\n",
"):\n",
" plt.annotate(\n",
" f\"{p}/{q}\",\n",
" (x, y),\n",
" textcoords=\"offset points\",\n",
" xytext=(0, 7),\n",
" ha=\"center\",\n",
" fontsize=8,\n",
" )\n",
"\n",
"# Set the axis limits\n",
"plt.xlim(-50, 2450)\n",
"plt.ylim(0, 1.05)\n",
"\n",
"plt.xticks(np.linspace(0, 2400, 25, endpoint=True))\n",
"plt.grid(True, linestyle=\"-\", alpha=0.7, axis=\"x\")\n",
"\n",
"# Add labels and title\n",
"plt.xlabel(\"Interval (cents)\", fontsize=12)\n",
"plt.ylabel(\"Consonance Rating\", fontsize=12)\n",
"\n",
"ax = plt.gca()\n",
"ax.set_yticks([0, 1])\n",
"ax.spines[[\"right\", \"top\"]].set_visible(False)\n",
"\n",
"plt.tight_layout()\n",
"\n",
"if savefigs:\n",
" plt.savefig(\"consonance_ratings_data.svg\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "a42a3d55-27a4-47d7-bee9-f19896b80929",
"metadata": {},
"source": [
"# Define our different measures"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "b22f978b-520a-48ba-956c-2070a9f9f750",
"metadata": {},
"outputs": [],
"source": [
"def weil(p, q):\n",
" return np.log2(max(p, q))\n",
"\n",
"def tenney(p, q):\n",
" return np.log2(p * q)\n",
"\n",
"def wilson(p, q):\n",
" return np.sum((np.abs(factors(p, q)) * primes))\n",
"\n",
"def gradus(p, q):\n",
" return np.sum((np.abs(factors(p, q)) * (primes - 1))) + 1\n",
"\n",
"def harmonic_entropy(p, q):\n",
" s = f\"{p}/{q}\"\n",
" return he[s]\n",
"\n",
"def common_practice(p, q):\n",
" s = f\"{p}/{q}\"\n",
" if s in [\n",
" \"1/1\",\n",
" \"2/1\",\n",
" \"4/1\",\n",
" \"3/1\",\n",
" \"3/2\",\n",
" \"4/3\",\n",
" \"5/4\",\n",
" \"6/5\",\n",
" \"5/3\",\n",
" \"8/5\",\n",
" \"5/2\",\n",
" \"12/5\",\n",
" \"8/3\",\n",
" \"10/3\",\n",
" ]:\n",
" return 1.0\n",
" return 0.0"
]
},
{
"cell_type": "markdown",
"id": "2ee2eabe-8e55-4dad-baf6-d81da4207e85",
"metadata": {},
"source": [
"### Roughness model\n",
"R. Plomp, W. J. M. Levelt; Tonal Consonance and Critical Bandwidth. J. Acoust. Soc. Am. 1 October 1965; 38 (4): 548–560. https://doi.org/10.1121/1.1909741"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "f8b78322-8943-46e4-b119-cdb2d0fcb743",
"metadata": {},
"outputs": [],
"source": [
"def sonance(x, a=2.2, b=5.7, c=250):\n",
" return np.exp(-a * np.abs(x / c)) - np.exp(-b * np.abs(x / c))\n",
"\n",
"\n",
"def roughness_pl(x, n=6):\n",
" s = 0\n",
" for n in range(1, n + 1):\n",
" for m in range(1, n + 1):\n",
" s += sonance(x - 1200 * np.log2(n / m))\n",
" return s"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "6a01d440-81db-4ecf-bca8-2443eb8334e0",
"metadata": {},
"outputs": [],
"source": [
"# roughess measure taking ratio p/q\n",
"def roughness(p, q):\n",
" x = cents(p, q)\n",
" return roughness_pl(x)"
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "4b1d7023-52db-420c-9fc1-a3c443b25ef4",
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
"<Figure size 800x400 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(8, 4))\n",
"\n",
"x = np.linspace(0, 1200, 600)\n",
"plt.plot(x, roughness_pl(x))\n",
"\n",
"plt.xlim(-50, 1250)\n",
"plt.xticks(np.linspace(0, 1200, 13, endpoint=True))\n",
"plt.grid(True, linestyle=\"-\", alpha=0.7, axis=\"x\")\n",
"\n",
"plt.xlabel(\"Interval (cents)\", fontsize=12)\n",
"plt.ylabel(\"Roughness\", fontsize=12)\n",
"\n",
"ax = plt.gca()\n",
"ax.spines[[\"right\", \"top\"]].set_visible(False)\n",
"\n",
"plt.tight_layout()\n",
"if savefigs:\n",
" plt.savefig(\"consonance_ratings_roughness.svg\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "ad1920b2-a9ff-4200-80cb-5eb18e870469",
"metadata": {},
"source": [
"# Fitting models\n",
"We do a weighted least squares (WLS) usign the observed variance of the rating data."
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "b6d2cab0-241a-4ba0-8819-fd2c5a43e4a4",
"metadata": {},
"outputs": [],
"source": [
"to_test = {\n",
" \"Weil\": weil,\n",
" \"Tenney\": tenney,\n",
" \"Wilson\": wilson,\n",
" \"Euler gradus\": gradus,\n",
" \"Harmonic entropy\": harmonic_entropy,\n",
" \"Roughness\": roughness,\n",
" \"Common practice\": common_practice,\n",
"}"
]
},
{
"cell_type": "code",
"execution_count": 16,
"id": "92d572f1-ab6e-430c-a542-75f685fc9866",
"metadata": {},
"outputs": [],
"source": [
"# Calculate all measures for the dataset\n",
"measures = {}\n",
"for fn_name, fn in to_test.items():\n",
" measures[fn_name] = []\n",
" for p, q in zip(data[\"p\"], data[\"q\"]):\n",
" measures[fn_name].append(fn(p, q))\n",
" measures[fn_name] = np.array(measures[fn_name])"
]
},
{
"cell_type": "code",
"execution_count": 17,
"id": "7f2ebcfb-6885-40ca-95d6-c318aa2cce93",
"metadata": {
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"Measure: Tenney\n",
" R²: 0.888\n",
" RMSE: 0.7190\n",
" Model coefficients:\n",
" Intercept: 1.0403 (p=0.0000)\n",
" Slope: -0.1203 (p=0.0000)\n",
"\n",
"Measure: Wilson\n",
" R²: 0.862\n",
" RMSE: 0.7785\n",
" Model coefficients:\n",
" Intercept: 0.9842 (p=0.0000)\n",
" Slope: -0.0501 (p=0.0000)\n",
"\n",
"Measure: Weil\n",
" R²: 0.812\n",
" RMSE: 0.9124\n",
" Model coefficients:\n",
" Intercept: 1.1565 (p=0.0000)\n",
" Slope: -0.2464 (p=0.0000)\n",
"\n",
"Measure: Harmonic entropy\n",
" R²: 0.807\n",
" RMSE: 0.8522\n",
" Model coefficients:\n",
" Intercept: 1.6922 (p=0.0000)\n",
" Slope: -1.5837 (p=0.0000)\n",
"\n",
"Measure: Euler gradus\n",
" R²: 0.797\n",
" RMSE: 0.8663\n",
" Model coefficients:\n",
" Intercept: 0.9684 (p=0.0000)\n",
" Slope: -0.0623 (p=0.0000)\n",
"\n",
"Measure: Common practice\n",
" R²: 0.743\n",
" RMSE: 0.9956\n",
" Model coefficients:\n",
" Intercept: 0.1726 (p=0.0000)\n",
" Slope: 0.5726 (p=0.0000)\n",
"\n",
"Measure: Roughness\n",
" R²: 0.742\n",
" RMSE: 0.9864\n",
" Model coefficients:\n",
" Intercept: 0.8225 (p=0.0000)\n",
" Slope: -0.4463 (p=0.0000)\n"
]
}
],
"source": [
"# Fit Weighted Least Square linear model for each measure\n",
"\n",
"# weight proportional to inverse variance\n",
"weights = 1 / np.array(np.array(data[\"stddev\"])) ** 2\n",
"means = np.array(data[\"mean\"])\n",
"\n",
"results = {}\n",
"for measure_name in measures.keys():\n",
" X = sm.add_constant(measures[measure_name])\n",
" model = sm.WLS(means, X, weights=weights).fit()\n",
"\n",
" # Get predictions on original scale\n",
" preds = model.predict(X)\n",
"\n",
" # Calculate mean squared error\n",
" rmse = np.sqrt(np.sum((means - preds) ** 2))\n",
"\n",
" results[measure_name] = {\n",
" \"model\": model,\n",
" \"rmse\": rmse,\n",
" \"rsquared\": model.rsquared,\n",
" \"X\": X,\n",
" }\n",
"\n",
"# Sort measures by performance\n",
"sorted_measures = sorted(\n",
" results.items(),\n",
" key=lambda x: (x[1][\"rsquared\"]),\n",
" # key=lambda x: (x[1]['mse']),\n",
" reverse=True,\n",
")\n",
"\n",
"# Print results\n",
"for measure_name, stats in sorted_measures:\n",
" model = stats[\"model\"]\n",
" print(f\"\\nMeasure: {measure_name}\")\n",
" print(f\" R²: {stats['rsquared']:.3f}\")\n",
" print(f\" RMSE: {stats['rmse']:.4f}\")\n",
" print(f\" Model coefficients:\")\n",
" print(f\" Intercept: {model.params[0]:.4f} (p={model.pvalues[0]:.4f})\")\n",
" print(f\" Slope: {model.params[1]:.4f} (p={model.pvalues[1]:.4f})\")"
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "e17a092c-6c2f-473d-a78a-ca261ee4b400",
"metadata": {},
"outputs": [],
"source": [
"# Make a nice table formatter\n",
"from IPython.display import HTML, display\n",
"\n",
"def display_table(table):\n",
" display(\n",
" HTML(\n",
" \"<table><tr>{}</tr></table>\".format(\n",
" \"</tr><tr>\".join(\n",
" \"<td>{}</td>\".format(\"</td><td>\".join(str(_) for _ in row))\n",
" for row in table\n",
" )\n",
" )\n",
" )\n",
" )"
]
},
{
"cell_type": "code",
"execution_count": 19,
"id": "4299298d-2971-4d4a-bbc3-045ac2ee7f03",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<table><tr><td>Measure</td><td>R²</td></tr><tr><td>Tenney</td><td>0.888</td></tr><tr><td>Wilson</td><td>0.862</td></tr><tr><td>Weil</td><td>0.812</td></tr><tr><td>Harmonic entropy</td><td>0.807</td></tr><tr><td>Euler gradus</td><td>0.797</td></tr><tr><td>Common practice</td><td>0.743</td></tr><tr><td>Roughness</td><td>0.742</td></tr></table>"
],
"text/plain": [
"<IPython.core.display.HTML object>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"table = []\n",
"table.append([\"Measure\", \"R²\"])\n",
"for measure_name, stats in sorted_measures:\n",
" table.append([measure_name, f\"{stats['rsquared']:.3f}\"])\n",
"display_table(table)"
]
},
{
"cell_type": "markdown",
"id": "210aec40-cb58-4650-9973-e1f9a089ad19",
"metadata": {},
"source": [
"## Model comparison"
]
},
{
"cell_type": "code",
"execution_count": 20,
"id": "977bd968-a27c-4356-9626-9a1a9197f9d8",
"metadata": {},
"outputs": [],
"source": [
"from sklearn.utils import resample\n",
"\n",
"# Bootstrap comparison of the r-squared values for two models\n",
"def bootstrap_r2_diff(X1, X2, y, weights, n_bootstrap=1000, alpha=0.05):\n",
" n_samples = len(y)\n",
" r2_diffs = []\n",
" \n",
" for _ in range(n_bootstrap):\n",
" # Resample with replacement\n",
" indices = resample(range(n_samples), n_samples=n_samples)\n",
" X1_boot, X2_boot = X1[indices], X2[indices]\n",
" y_boot = y[indices]\n",
" weights_boot = weights[indices]\n",
" \n",
" # Fit models\n",
" model1 = sm.WLS(y_boot, X1_boot, weights=weights_boot).fit()\n",
" model2 = sm.WLS(y_boot, X2_boot, weights=weights_boot).fit()\n",
" \n",
" # Compute difference in R^2\n",
" r2_diff = model1.rsquared - model2.rsquared\n",
" r2_diffs.append(r2_diff)\n",
" \n",
" r2_diffs = np.array(r2_diffs)\n",
"\n",
" model1 = sm.WLS(y, X1, weights=weights).fit()\n",
" model2 = sm.WLS(y, X2, weights=weights).fit()\n",
" observed_diff = model1.rsquared - model2.rsquared\n",
" \n",
" # Calculate confidence interval\n",
" lower = np.percentile(r2_diffs, alpha/2 * 100)\n",
" upper = np.percentile(r2_diffs, (1-alpha/2) * 100)\n",
"\n",
" if observed_diff > 0:\n",
" p_value = np.mean(r2_diffs <= 0)\n",
" else:\n",
" p_value = np.mean(r2_diffs >= 0)\n",
" \n",
" return np.mean(r2_diffs), (lower, upper), p_value\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 21,
"id": "334abbf2-f1ba-4221-9b8b-d52110f61727",
"metadata": {},
"outputs": [],
"source": [
"# Print bootstrap report\n",
"def compare_models(model_a, model_b):\n",
" print(f\"{model_a} vs {model_b}\")\n",
" X1, X2 = results[model_a]['X'], results[model_b]['X']\n",
" mean_diff, (lower, upper), p_value = bootstrap_r2_diff(X1, X2, means, weights)\n",
" print(f\" Mean R^2 difference: {mean_diff:.4f}\")\n",
" print(f\" 95% CI: ({lower:.4f}, {upper:.4f})\")\n",
" print(f\" p = {p_value:.3f}\")"
]
},
{
"cell_type": "code",
"execution_count": 22,
"id": "46a117a5-f406-4eee-bd04-c5a6db7bfc70",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"'Tenney'"
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"best_measure = sorted_measures[0][0]\n",
"best_measure"
]
},
{
"cell_type": "code",
"execution_count": 23,
"id": "7f5cda73-a5cf-4785-8947-594f5bec2943",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Tenney vs Weil\n",
" Mean R^2 difference: 0.0879\n",
" 95% CI: (0.0253, 0.2192)\n",
" p = 0.002\n",
"Tenney vs Wilson\n",
" Mean R^2 difference: 0.0220\n",
" 95% CI: (-0.0519, 0.0939)\n",
" p = 0.226\n",
"Tenney vs Euler gradus\n",
" Mean R^2 difference: 0.0903\n",
" 95% CI: (-0.0364, 0.2554)\n",
" p = 0.083\n",
"Tenney vs Harmonic entropy\n",
" Mean R^2 difference: 0.0644\n",
" 95% CI: (-0.0502, 0.1659)\n",
" p = 0.110\n",
"Tenney vs Roughness\n",
" Mean R^2 difference: 0.1383\n",
" 95% CI: (0.0049, 0.2787)\n",
" p = 0.022\n",
"Tenney vs Common practice\n",
" Mean R^2 difference: 0.1314\n",
" 95% CI: (0.0080, 0.2661)\n",
" p = 0.019\n"
]
}
],
"source": [
"# We'll compare the top model vs all others\n",
"comparisons = [name for name in to_test.keys() if name != best_measure]\n",
"\n",
"# Set seed for reproducibility\n",
"np.random.seed(2025)\n",
"\n",
"for model_b in comparisons:\n",
" compare_models(best_measure, model_b)"
]
},
{
"cell_type": "code",
"execution_count": 24,
"id": "a714414e-bb86-4577-9dbd-c50f95e9adc8",
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
"<Figure size 800x400 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"measure_y = measures[best_measure]\n",
"\n",
"plt.figure(figsize=(8, 4))\n",
"plt.scatter(measure_y, means, label=\"Observed\")\n",
"\n",
"# Create a range of x values for the prediction curve\n",
"x_range = np.linspace(min(measure_y), max(measure_y), 100)\n",
"X_pred = sm.add_constant(x_range)\n",
"\n",
"# Get predictions\n",
"model = results[best_measure][\"model\"]\n",
"y_pred = model.predict(X_pred)\n",
"\n",
"for i, (x, y, p, q) in enumerate(zip(measure_y, means, data[\"p\"], data[\"q\"])):\n",
" plt.annotate(\n",
" f\"{p}/{q}\",\n",
" (x, y),\n",
" textcoords=\"offset points\",\n",
" xytext=(0, 7),\n",
" ha=\"center\",\n",
" fontsize=8,\n",
" )\n",
"\n",
"nice_red = \"#BC290F\"\n",
"plt.plot(x_range, y_pred, label=\"Prediction\", c=nice_red, linewidth=2)\n",
"plt.xlabel(best_measure)\n",
"plt.ylabel(\"Consonance Rating\")\n",
"\n",
"plt.yticks([0, 1])\n",
"plt.legend()\n",
"\n",
"# Add error bars for the observed data\n",
"plt.errorbar(measure_y, means, yerr=data[\"stddev\"], fmt=\"o\", alpha=0.5, capsize=3)\n",
"ax = plt.gca()\n",
"ax.spines[[\"right\", \"top\"]].set_visible(False)\n",
"\n",
"plt.tight_layout()\n",
"\n",
"if savefigs:\n",
" plt.savefig(\"consonance_ratings_tenney_fit.svg\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "a8f90d6a-bebc-484a-bfb7-084ff61058f1",
"metadata": {},
"source": [
"# Continuous extension of the Tenney norm"
]
},
{
"cell_type": "code",
"execution_count": 25,
"id": "e6064584-7fb1-4e8c-8619-4b6737136b6b",
"metadata": {},
"outputs": [],
"source": [
"# Generate all ratios with numerator amd denominator up to n\n",
"def make_ratios(n):\n",
" l = []\n",
" for a in range(1, n + 1):\n",
" for b in range(1, n + 1):\n",
" if math.gcd(a, b) == 1:\n",
" l.append((a, b))\n",
" return l"
]
},
{
"cell_type": "code",
"execution_count": 26,
"id": "6bbc2294-3e44-41a3-9368-2ededb803e35",
"metadata": {},
"outputs": [],
"source": [
"def parabola(x, s=20.0):\n",
" return (x / s) ** 2"
]
},
{
"cell_type": "code",
"execution_count": 27,
"id": "ab03f004-5304-48af-bc8e-e03ab137fded",
"metadata": {},
"outputs": [],
"source": [
"xs = np.linspace(0, 2400, 2401)\n",
"\n",
"tenney_c = np.zeros_like(xs) + 1000.0\n",
"\n",
"for p, q in make_ratios(50):\n",
" c = cents(p, q)\n",
" p_c = parabola(xs - c) + tenney(p, q)\n",
" tenney_c = np.minimum(tenney_c, p_c)"
]
},
{
"cell_type": "code",
"execution_count": 28,
"id": "31a09fef-a87b-4c8b-9325-452037bca82e",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1200x400 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(12, 4))\n",
"\n",
"plt.plot(xs, tenney_c, c=nice_red)\n",
"\n",
"tenney_y = [tenney(p, q) for (p, q) in (zip(data[\"p\"], data[\"q\"]))]\n",
"plt.scatter(data[\"cents\"], tenney_y, marker=\"o\", zorder=10, c=\"black\")\n",
"\n",
"for i, (x, y, s) in enumerate(zip(data[\"cents\"], tenney_y, data[\"ratio_str\"])):\n",
" plt.annotate(\n",
" s,\n",
" (x, y),\n",
" textcoords=\"offset points\",\n",
" xytext=(0, 12),\n",
" ha=\"center\",\n",
" fontsize=10,\n",
" )\n",
"\n",
"plt.xticks(np.linspace(0, 1200, 13, endpoint=True))\n",
"plt.grid(True, linestyle=\"-\", alpha=0.7, axis=\"x\")\n",
"plt.xlim(-25, 1225)\n",
"\n",
"ax = plt.gca()\n",
"ax.spines[[\"right\", \"top\"]].set_visible(False)\n",
"\n",
"plt.xlabel(\"Interval (cents)\", fontsize=12)\n",
"plt.ylabel(\"Tenney Norm\", fontsize=12)\n",
"\n",
"plt.tight_layout()\n",
"if savefigs:\n",
" plt.savefig(\"consonance_ratings_extended_tenney.svg\")\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 29,
"id": "ba1ff845-d5b3-48cc-90ee-acdd2dae2c64",
"metadata": {},
"outputs": [],
"source": [
"def tenney_continuous(p, q):\n",
" index = int(cents(p, q))\n",
" return tenney_c[index]"
]
},
{
"cell_type": "code",
"execution_count": 30,
"id": "7cdae879-fc68-4335-9bb4-ba3e86b5ba6a",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<table class=\"simpletable\">\n",
"<caption>WLS Regression Results</caption>\n",
"<tr>\n",
" <th>Dep. Variable:</th> <td>y</td> <th> R-squared: </th> <td> 0.930</td>\n",
"</tr>\n",
"<tr>\n",
" <th>Model:</th> <td>WLS</td> <th> Adj. R-squared: </th> <td> 0.928</td>\n",
"</tr>\n",
"<tr>\n",
" <th>Method:</th> <td>Least Squares</td> <th> F-statistic: </th> <td> 475.7</td>\n",
"</tr>\n",
"<tr>\n",
" <th>Date:</th> <td>Mon, 12 May 2025</td> <th> Prob (F-statistic):</th> <td>2.44e-22</td>\n",
"</tr>\n",
"<tr>\n",
" <th>Time:</th> <td>02:43:27</td> <th> Log-Likelihood: </th> <td> 35.358</td>\n",
"</tr>\n",
"<tr>\n",
" <th>No. Observations:</th> <td> 38</td> <th> AIC: </th> <td> -66.72</td>\n",
"</tr>\n",
"<tr>\n",
" <th>Df Residuals:</th> <td> 36</td> <th> BIC: </th> <td> -63.44</td>\n",
"</tr>\n",
"<tr>\n",
" <th>Df Model:</th> <td> 1</td> <th> </th> <td> </td> \n",
"</tr>\n",
"<tr>\n",
" <th>Covariance Type:</th> <td>nonrobust</td> <th> </th> <td> </td> \n",
"</tr>\n",
"</table>\n",
"<table class=\"simpletable\">\n",
"<tr>\n",
" <td></td> <th>coef</th> <th>std err</th> <th>t</th> <th>P>|t|</th> <th>[0.025</th> <th>0.975]</th> \n",
"</tr>\n",
"<tr>\n",
" <th>const</th> <td> 1.0922</td> <td> 0.035</td> <td> 31.438</td> <td> 0.000</td> <td> 1.022</td> <td> 1.163</td>\n",
"</tr>\n",
"<tr>\n",
" <th>x1</th> <td> -0.1346</td> <td> 0.006</td> <td> -21.810</td> <td> 0.000</td> <td> -0.147</td> <td> -0.122</td>\n",
"</tr>\n",
"</table>\n",
"<table class=\"simpletable\">\n",
"<tr>\n",
" <th>Omnibus:</th> <td> 2.007</td> <th> Durbin-Watson: </th> <td> 1.576</td>\n",
"</tr>\n",
"<tr>\n",
" <th>Prob(Omnibus):</th> <td> 0.367</td> <th> Jarque-Bera (JB): </th> <td> 1.730</td>\n",
"</tr>\n",
"<tr>\n",
" <th>Skew:</th> <td>-0.394</td> <th> Prob(JB): </th> <td> 0.421</td>\n",
"</tr>\n",
"<tr>\n",
" <th>Kurtosis:</th> <td> 2.313</td> <th> Cond. No. </th> <td> 13.9</td>\n",
"</tr>\n",
"</table><br/><br/>Notes:<br/>[1] Standard Errors assume that the covariance matrix of the errors is correctly specified."
],
"text/latex": [
"\\begin{center}\n",
"\\begin{tabular}{lclc}\n",
"\\toprule\n",
"\\textbf{Dep. Variable:} & y & \\textbf{ R-squared: } & 0.930 \\\\\n",
"\\textbf{Model:} & WLS & \\textbf{ Adj. R-squared: } & 0.928 \\\\\n",
"\\textbf{Method:} & Least Squares & \\textbf{ F-statistic: } & 475.7 \\\\\n",
"\\textbf{Date:} & Mon, 12 May 2025 & \\textbf{ Prob (F-statistic):} & 2.44e-22 \\\\\n",
"\\textbf{Time:} & 02:43:27 & \\textbf{ Log-Likelihood: } & 35.358 \\\\\n",
"\\textbf{No. Observations:} & 38 & \\textbf{ AIC: } & -66.72 \\\\\n",
"\\textbf{Df Residuals:} & 36 & \\textbf{ BIC: } & -63.44 \\\\\n",
"\\textbf{Df Model:} & 1 & \\textbf{ } & \\\\\n",
"\\textbf{Covariance Type:} & nonrobust & \\textbf{ } & \\\\\n",
"\\bottomrule\n",
"\\end{tabular}\n",
"\\begin{tabular}{lcccccc}\n",
" & \\textbf{coef} & \\textbf{std err} & \\textbf{t} & \\textbf{P$> |$t$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n",
"\\midrule\n",
"\\textbf{const} & 1.0922 & 0.035 & 31.438 & 0.000 & 1.022 & 1.163 \\\\\n",
"\\textbf{x1} & -0.1346 & 0.006 & -21.810 & 0.000 & -0.147 & -0.122 \\\\\n",
"\\bottomrule\n",
"\\end{tabular}\n",
"\\begin{tabular}{lclc}\n",
"\\textbf{Omnibus:} & 2.007 & \\textbf{ Durbin-Watson: } & 1.576 \\\\\n",
"\\textbf{Prob(Omnibus):} & 0.367 & \\textbf{ Jarque-Bera (JB): } & 1.730 \\\\\n",
"\\textbf{Skew:} & -0.394 & \\textbf{ Prob(JB): } & 0.421 \\\\\n",
"\\textbf{Kurtosis:} & 2.313 & \\textbf{ Cond. No. } & 13.9 \\\\\n",
"\\bottomrule\n",
"\\end{tabular}\n",
"%\\caption{WLS Regression Results}\n",
"\\end{center}\n",
"\n",
"Notes: \\newline\n",
" [1] Standard Errors assume that the covariance matrix of the errors is correctly specified."
],
"text/plain": [
"<class 'statsmodels.iolib.summary.Summary'>\n",
"\"\"\"\n",
" WLS Regression Results \n",
"==============================================================================\n",
"Dep. Variable: y R-squared: 0.930\n",
"Model: WLS Adj. R-squared: 0.928\n",
"Method: Least Squares F-statistic: 475.7\n",
"Date: Mon, 12 May 2025 Prob (F-statistic): 2.44e-22\n",
"Time: 02:43:27 Log-Likelihood: 35.358\n",
"No. Observations: 38 AIC: -66.72\n",
"Df Residuals: 36 BIC: -63.44\n",
"Df Model: 1 \n",
"Covariance Type: nonrobust \n",
"==============================================================================\n",
" coef std err t P>|t| [0.025 0.975]\n",
"------------------------------------------------------------------------------\n",
"const 1.0922 0.035 31.438 0.000 1.022 1.163\n",
"x1 -0.1346 0.006 -21.810 0.000 -0.147 -0.122\n",
"==============================================================================\n",
"Omnibus: 2.007 Durbin-Watson: 1.576\n",
"Prob(Omnibus): 0.367 Jarque-Bera (JB): 1.730\n",
"Skew: -0.394 Prob(JB): 0.421\n",
"Kurtosis: 2.313 Cond. No. 13.9\n",
"==============================================================================\n",
"\n",
"Notes:\n",
"[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n",
"\"\"\""
]
},
"execution_count": 30,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"tc = np.array([tenney_continuous(p, q) for (p, q) in zip(data[\"p\"], data[\"q\"])])\n",
"\n",
"X = sm.add_constant(tc)\n",
"model = sm.WLS(means, X, weights=weights).fit()\n",
"\n",
"preds = model.predict(X)\n",
"\n",
"rmse = np.sqrt(np.sum((means - preds) ** 2))\n",
"\n",
"results[\"Tenney continuous\"] = {\n",
" \"model\": model,\n",
" \"rmse\": rmse,\n",
" \"rsquared\": model.rsquared,\n",
" \"X\": X,\n",
"}\n",
"model.summary()"
]
},
{
"cell_type": "code",
"execution_count": 31,
"id": "87061c1f-ffd4-4834-b0d9-961e7dc23581",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Tenney continuous vs Weil\n",
" Mean R^2 difference: 0.1313\n",
" 95% CI: (0.0476, 0.3119)\n",
" p = 0.000\n",
"Tenney continuous vs Tenney\n",
" Mean R^2 difference: 0.0444\n",
" 95% CI: (0.0075, 0.1045)\n",
" p = 0.001\n",
"Tenney continuous vs Wilson\n",
" Mean R^2 difference: 0.0672\n",
" 95% CI: (0.0006, 0.1663)\n",
" p = 0.025\n",
"Tenney continuous vs Euler gradus\n",
" Mean R^2 difference: 0.1326\n",
" 95% CI: (0.0137, 0.3073)\n",
" p = 0.010\n",
"Tenney continuous vs Harmonic entropy\n",
" Mean R^2 difference: 0.1057\n",
" 95% CI: (0.0093, 0.1994)\n",
" p = 0.017\n",
"Tenney continuous vs Roughness\n",
" Mean R^2 difference: 0.1795\n",
" 95% CI: (0.0783, 0.3189)\n",
" p = 0.003\n",
"Tenney continuous vs Common practice\n",
" Mean R^2 difference: 0.1803\n",
" 95% CI: (0.0639, 0.3201)\n",
" p = 0.000\n"
]
}
],
"source": [
"best_measure = 'Tenney continuous'\n",
"comparisons = [name for name in to_test.keys() if name != best_measure]\n",
"\n",
"# Set seed for reproducibility\n",
"np.random.seed(2025)\n",
"\n",
"for model_b in comparisons:\n",
" compare_models(best_measure, model_b)"
]
},
{
"cell_type": "code",
"execution_count": 32,
"id": "024e7d0a-559e-49ca-a1d1-048e9d765438",
"metadata": {},
"outputs": [],
"source": [
"intercept, slope = model.params"
]
},
{
"cell_type": "code",
"execution_count": 33,
"id": "2043d02f-45a4-4f10-984d-2afc148392a9",
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
"<Figure size 1200x400 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(12, 4))\n",
"\n",
"# Plot the mean consonance ratings\n",
"plt.scatter(data[\"cents\"], data[\"mean\"])\n",
"plt.errorbar(\n",
" data[\"cents\"], data[\"mean\"], yerr=data[\"stddev\"], fmt=\"o\", alpha=0.7, capsize=3\n",
")\n",
"\n",
"plt.plot(xs, intercept + slope * tenney_c, c=nice_red)\n",
"\n",
"# Add labels for each point showing the ratio\n",
"for i, (x, y, p, q) in enumerate(\n",
" zip(data[\"cents\"], data[\"mean\"], data[\"p\"], data[\"q\"])\n",
"):\n",
" plt.annotate(\n",
" f\"{p}/{q}\",\n",
" (x, y),\n",
" textcoords=\"offset points\",\n",
" xytext=(0, 7),\n",
" ha=\"center\",\n",
" fontsize=8,\n",
" )\n",
"\n",
"# Set the axis limits\n",
"plt.xlim(-50, 2450)\n",
"plt.ylim(-0.10, 1.10)\n",
"\n",
"plt.xticks(np.linspace(0, 2400, 25, endpoint=True))\n",
"# plt.grid(True, linestyle='-', alpha=0.7, axis='x')\n",
"\n",
"# Add labels and title\n",
"plt.xlabel(\"Interval (cents)\", fontsize=12)\n",
"plt.ylabel(\"Consonance Rating\", fontsize=12)\n",
"\n",
"ax = plt.gca()\n",
"ax.set_yticks([0, 1])\n",
"ax.spines[[\"right\", \"top\"]].set_visible(False)\n",
"\n",
"plt.tight_layout()\n",
"if savefigs:\n",
" plt.savefig(\"consonance_ratings_extended_tenney_fit.svg\")\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "5dcd0f8d-1ae3-4635-8ca5-3229412126a0",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"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"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
33/32 99.675
16/15 93.375
11/10 91.727
9/8 91
7/6 90.099
6/5 88.67
11/9 91.786
5/4 86.433
9/7 91.284
4/3 81.976
11/8 91.819
7/5 89.352
16/11 92.948
3/2 71.779
14/9 92.202
8/5 89.732
18/11 91.703
5/3 84.167
7/4 88.381
9/5 90.182
11/6 90.918
15/8 91.912
27/14 95.215
2/1 39.006
33/16 96.385
32/15 91.962
9/4 89.442
12/5 91.162
5/2 79.831
8/3 87.525
14/5 91.109
3/1 54.245
16/5 91.231
10/3 88.773
7/2 83.459
18/5 91.868
15/4 91.072
4/1 62.798
ratio mean stddev
33/32 0.067 0.126
16/15 0.025 0.064
11/10 0.047 0.084
9/8 0.123 0.152
7/6 0.153 0.186
6/5 0.306 0.138
11/9 0.256 0.149
5/4 0.569 0.155
9/7 0.334 0.185
4/3 0.677 0.124
11/8 0.234 0.178
7/5 0.224 0.138
16/11 0.15 0.122
3/2 0.85 0.089
14/9 0.219 0.136
8/5 0.378 0.119
18/11 0.325 0.178
5/3 0.609 0.225
7/4 0.291 0.19
9/5 0.273 0.135
11/6 0.184 0.15
15/8 0.188 0.107
27/14 0.117 0.121
2/1 0.979 0.058
33/16 0.086 0.13
32/15 0.157 0.122
9/4 0.319 0.144
12/5 0.409 0.143
5/2 0.628 0.176
8/3 0.575 0.16
14/5 0.325 0.15
3/1 0.814 0.093
16/5 0.384 0.179
10/3 0.55 0.183
7/2 0.4 0.165
18/5 0.334 0.141
15/4 0.312 0.144
4/1 0.825 0.121
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