Skip to content
Permalink
master
Switch branches/tags

Name already in use

A tag already exists with the provided branch name. Many Git commands accept both tag and branch names, so creating this branch may cause unexpected behavior. Are you sure you want to create this branch?
Go to file
 
 
Cannot retrieve contributors at this time
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Computational Mechanics Boundary Values - Project 05\n",
"\n",
"![6-string guitar diagram](../images/guitar.png)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In this final project, we will consider all six strings of a guitar and the deflection of the neck of the guitar. Here are the inputs for each of the strings, all L=0.64 m:\n",
"\n",
"|string|density (g/m)|tension (kg)|\n",
"|---|---|---|\n",
"|E|0.401|7.28|\n",
"|B|0.708|7.22|\n",
"|G|1.140|7.32|\n",
"|D|2.333|8.41|\n",
"|A|4.466|9.03|\n",
"|E|6.790|7.71|"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"1. The neck of the guitar can be considered a cantilever beam with an applied moment, shown above. At the tip we have a moment equal to the sum of the (tensions in the strings) $\\times$ (bridge height). Here we will consider it as $h=4~mm$. \n",
"\n",
"a. Use a finite difference approximation to determine the deflection of the guitar's bridge if the Young's modulus is E=10 GPa and it is a rectangular cross-section $2\\times4~cm^2$ and $I=\\frac{4\\cdot2^3}{12}~cm^4.$\n",
"\n",
"b. Demonstrate that your finite difference solution has converged. _e.g. decrease the step size $h$ and show the solution converges to a final value._"
]
},
{
"cell_type": "code",
"execution_count": 63,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from IPython.display import Audio"
]
},
{
"cell_type": "code",
"execution_count": 64,
"metadata": {},
"outputs": [],
"source": [
"L = 0.64\n",
"E=10e9\n",
"t=0.04 \n",
"h = 0.004\n",
"I = (0.04*0.02**3)/12\n",
"g = 9.81"
]
},
{
"cell_type": "code",
"execution_count": 65,
"metadata": {},
"outputs": [],
"source": [
"d_e = 0.401e-3 # g/m\n",
"d_b = 0.708e-3\n",
"d_g = 1.140e-3\n",
"d_d = 2.333e-3\n",
"d_a = 4.466e-3\n",
"d_e2 = 6.790e-3\n",
"\n",
"T_e = 7.28*9.81 #kg\n",
"T_b = 7.22*9.81\n",
"T_g = 7.32*9.81\n",
"T_d = 8.41*9.81\n",
"T_a = 9.03*9.81\n",
"T_e2 = 7.71*9.81"
]
},
{
"cell_type": "code",
"execution_count": 66,
"metadata": {},
"outputs": [],
"source": [
"#1a\n",
"\n",
"x = np.linspace(0,L,100)\n",
"M = (T_e+T_b+T_g+T_d+T_a+T_e2)*h\n",
"w_1 = (M*L**2/(2*E*I))*(x/L)**2\n",
"N = 9\n",
"h1 = L/10\n",
"xnum = np.arange(0,L+h1/2,h1)\n",
"\n",
"A = np.diag(np.ones(N)*6)\\\n",
"+np.diag(np.ones(N-1)*-4,-1)\\\n",
"+np.diag(np.ones(N-1)*-4,1)\\\n",
"+np.diag(np.ones(N-2),-2)\\\n",
"+np.diag(np.ones(N-2),2)\n",
"A[0,0]+=1\n",
"A[-1,-1]+=1\n",
"A[7]= [0,0,0,0,0,1,-4,5,-2]\n",
"A[8] = [0,0,0,0,0,0,2,-4,2]\n",
"\n",
"\n",
"b=-np.zeros(N)\n",
"b[7]=-h1**2*M/(E*I)\n",
"b[8]=2*h1**2*M/(E*I)\n",
"w_2 = np.linalg.solve(A,b)\n"
]
},
{
"cell_type": "code",
"execution_count": 67,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 720x720 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure(figsize=(10,10))\n",
"fig.patch.set_facecolor('green')\n",
"plt.plot(x,w_1,label='Analytical Sol')\n",
"plt.plot(xnum[:-1],np.block([0,w_2]),'*',color='yellow',label='Numerical Sol')\n",
"plt.ylabel('Delfection')\n",
"plt.xlabel('Length of Beam')\n",
"plt.title('Deflection on Beam')\n",
"plt.legend();"
]
},
{
"cell_type": "code",
"execution_count": 68,
"metadata": {},
"outputs": [],
"source": [
"#1b\n",
"h = np.array([L/4,L/8,L/12,L/16,L/24])\n",
"\n",
"w_3 = []\n",
"xnum_1 = []\n",
"for i in range(len(h)):\n",
" shape = int(L/h[i])\n",
" A1=np.diag(np.ones(shape)*6)+np.diag(np.ones(shape-1)*-4,-1)\\\n",
" +np.diag(np.ones(shape-1)*-4,1)+np.diag(np.ones(shape-2),-2)+np.diag(np.ones(shape-2),2)\n",
" A1[0,0]+=1\n",
" A1[-1,-1]+=1\n",
" A1[-2]= np.zeros(shape)\n",
" A1[-2,-4:]=[1,-4,5,-2]\n",
" A1[-1] = np.zeros(shape)\n",
" A1[-1,-3:] = [2,-4,2]\n",
" b1=-np.zeros(shape)\n",
" b1[-2]=-h[i]**2*M/(E*I)\n",
" b1[-1]=2*h[i]**2*M/(E*I)\n",
" w_3.append(np.linalg.solve(A1,b1))\n",
" xnum_1.append(np.arange(0,L+h[i]/2,h[i]))"
]
},
{
"cell_type": "code",
"execution_count": 69,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 720x720 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(10,10))\n",
"plt.plot(x,w_1,label='Analytical Solution')\n",
"plt.plot(xnum_1[0],np.block([0,w_3[0]]),label='4-Steps')\n",
"plt.plot(xnum_1[1],np.block([0,w_3[1]]),label='8-Steps')\n",
"plt.plot(xnum_1[2],np.block([0,w_3[2]]),label='12-Steps')\n",
"plt.plot(xnum_1[3],np.block([0,w_3[3]]),label='16-Steps')\n",
"plt.plot(xnum_1[4],np.block([0,w_3[4]]),label='24-Steps')\n",
"plt.xlabel('Length of Beam')\n",
"plt.ylabel('Delfection')\n",
"plt.title('Convergence')\n",
"plt.legend();"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"2. Here we will record the first three frequencies of the 6-string guitar. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"a. Consider the G-string on the guitar, L=0.64 m, $\\mu=1.14~g/m,$ and T=71.81 N [1]. \n",
"\n",
"__Guitar string equation:__ $\\mu\\frac{\\partial^2 y}{\\partial t^2}=T\\frac{\\partial ^2 y}{\\partial x^2}$\n",
"\n",
"a. Calculate the first, second, and third natural frequencies using 6, 30, 45, and 60 nodes. Plot the mode shapes and determine the number of nodes needed to converge for the first three modes. "
]
},
{
"cell_type": "code",
"execution_count": 70,
"metadata": {},
"outputs": [],
"source": [
"\n",
"L = 0.64\n",
"mu = 1.14e-3\n",
"T = 71.81\n",
"\n",
"N60=60 \n",
"dx60=L/(N60+1)\n",
"k60 = T/dx60**2/mu\n",
"A60 = k60*(np.diag(np.ones(N60)*2)\\\n",
" -np.diag(np.ones(N60-1),-1)\\\n",
" -np.diag(np.ones(N60-1),1))\n",
"e60,v60=np.linalg.eig(A60)\n",
"isort = np.argsort(e60.real)\n",
"e60=e60[isort]\n",
"v60=v60[:,isort]"
]
},
{
"cell_type": "code",
"execution_count": 71,
"metadata": {},
"outputs": [],
"source": [
"N45=45 \n",
"dx45=L/(N45+1)\n",
"k45 = T/dx45**2/mu\n",
"A45 = k45*(np.diag(np.ones(N45)*2)\\\n",
" -np.diag(np.ones(N45-1),-1)\\\n",
" -np.diag(np.ones(N45-1),1))\n",
"e45,v45=np.linalg.eig(A45)\n",
"isort = np.argsort(e45.real)\n",
"e45=e45[isort]\n",
"v45=v45[:,isort]"
]
},
{
"cell_type": "code",
"execution_count": 72,
"metadata": {},
"outputs": [],
"source": [
"N30=30 \n",
"dx30=L/(N30+1)\n",
"k30 = T/dx30**2/mu\n",
"A30 = k30*(np.diag(np.ones(N30)*2)\\\n",
" -np.diag(np.ones(N30-1),-1)\\\n",
" -np.diag(np.ones(N30-1),1))\n",
"e30,v30=np.linalg.eig(A30)\n",
"isort = np.argsort(e30.real)\n",
"e30=e30[isort]\n",
"v30=v30[:,isort]"
]
},
{
"cell_type": "code",
"execution_count": 73,
"metadata": {},
"outputs": [],
"source": [
"N6=6\n",
"dx6=L/(N6+1)\n",
"k6 = T/dx6**2/mu\n",
"A6 = k6*(np.diag(np.ones(N6)*2)\\\n",
" -np.diag(np.ones(N6-1),-1)\\\n",
" -np.diag(np.ones(N6-1),1))\n",
"e6,v6=np.linalg.eig(A6)\n",
"isort = np.argsort(e6.real)\n",
"e6=e6[isort]\n",
"v6=v6[:,isort]"
]
},
{
"cell_type": "code",
"execution_count": 74,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Natural frequencies: 6 element string\n",
"[194.44 379.12 544.8 ]\n",
"Natural frequencies: 30 element string\n",
"[195.99 391.49 585.97]\n",
"Natural frequencies: 45 element string\n",
"[196.04 391.85 587.21]\n",
"Natural frequencies: 60 element string\n",
"[196.06 391.98 587.65]\n"
]
}
],
"source": [
"print('Natural frequencies: 6 element string')\n",
"print(np.around((e6[:3].real**0.5/2/np.pi),2))\n",
"\n",
"print('Natural frequencies: 30 element string')\n",
"print(np.around((e30[:3].real**0.5/2/np.pi),2))\n",
"\n",
"print('Natural frequencies: 45 element string')\n",
"print(np.around((e45[:3].real**0.5/2/np.pi),2))\n",
"\n",
"print('Natural frequencies: 60 element string')\n",
"print(np.around((e60[:3].real**0.5/2/np.pi),2))"
]
},
{
"cell_type": "code",
"execution_count": 75,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 720x720 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"x6 = np.linspace(0,L,N6+2)\n",
"x30 = np.linspace(0,L,N30+2)\n",
"x45 = np.linspace(0,L,N45+2)\n",
"x60 = np.linspace(0,L,N60+2)\n",
"plt.figure(figsize=(10,10))\n",
"plt.plot(x6[1:-1],-1*v6[:,0]/np.max(-v6[:,0]),'bs',label='6 nodes')\n",
"plt.plot(x30[1:-1],-1*v30[:,0]/np.max(-v30[:,0]),'ks',label='30 nodes')\n",
"plt.plot(x45[1:-1],1*v45[:,0]/np.max(v45[:,0]),'rs',label='45 nodes')\n",
"plt.plot(x60[1:-1],-1*v60[:,0]/np.max(-v60[:,0]),'gs',label='60 nodes')\n",
"plt.title('First Node plot')\n",
"plt.xlabel('Node Count')\n",
"plt.ylabel('Amplitude')\n",
"plt.legend();"
]
},
{
"cell_type": "code",
"execution_count": 76,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 720x720 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(10,10))\n",
"plt.plot(x6[1:-1],1*v6[:,1]/np.max(-v6[:,1]),'bo',label='6 nodes')\n",
"plt.plot(x30[1:-1],-1*v30[:,1]/np.max(-v30[:,1]),'ko',label='30 nodes')\n",
"plt.plot(x45[1:-1],1*v45[:,1]/np.max(-v45[:,1]),'ro',label='45 nodes')\n",
"plt.plot(x60[1:-1],-1*v60[:,1]/np.max(-v60[:,1]),'go',label='60 nodes')\n",
"plt.title('Second Node plot')\n",
"plt.xlabel('Node Count')\n",
"plt.ylabel('Amplitude')\n",
"plt.legend();"
]
},
{
"cell_type": "code",
"execution_count": 77,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 720x720 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(10,10))\n",
"plt.plot(x6[1:-1],-1*v6[:,2]/np.max(-v6[:,2]),'bo',label='6 nodes')\n",
"plt.plot(x30[1:-1],-1*v30[:,2]/np.max(-v30[:,2]),'ko',label='30 nodes')\n",
"plt.plot(x45[1:-1],1*v45[:,2]/np.max(-v45[:,2]),'ro',label='45 nodes')\n",
"plt.plot(x60[1:-1],-1*v60[:,2]/np.max(-v60[:,2]),'go',label='60 nodes')\n",
"plt.title('Third Node Plot')\n",
"plt.xlabel('Node Count')\n",
"plt.ylabel('Amplitude')\n",
"plt.legend();"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"By plotting I determined that the number of nodes needed to converge is 45."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"b. Use the number of nodes necessary for convergence to calculate the first 3 modes of vibration for the other 5 strings on the guitar. Display the first three natural frequencies for all six strings. "
]
},
{
"cell_type": "code",
"execution_count": 87,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Natural frequencies: E-string\n",
"1.) [329.64]\n",
"2.) [658.89]\n",
"3.) [987.37]\n"
]
}
],
"source": [
"N_e=45 #chosen number of nodes\n",
"dx_e=L/(N_e+1)\n",
"k_e = T_e/dx_e**2/d_e\n",
"A_e = k_e*(np.diag(np.ones(N_e)*2)\\\n",
" -np.diag(np.ones(N_e-1),-1)\\\n",
" -np.diag(np.ones(N_e-1),1))\n",
"\n",
"e_e,v_e=np.linalg.eig(A_e)\n",
"isort = np.argsort(e_e.real)\n",
"e_e=e_e[isort]\n",
"v_e=v_e[:,isort]\n",
"print('Natural frequencies: E-string')\n",
"print('1.)',np.around((e_e[0:1].real**0.5/2/np.pi),2))\n",
"print('2.)',np.around((e_e[1:2].real**0.5/2/np.pi),2))\n",
"print('3.)',np.around((e_e[2:3].real**0.5/2/np.pi),2))"
]
},
{
"cell_type": "code",
"execution_count": 89,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Natural frequencies: B-string\n",
"1.) [247.05]\n",
"2.) [493.82]\n",
"3.) [740.01]\n"
]
}
],
"source": [
"N_b=45\n",
"dx_b=L/(N_b+1)\n",
"k_b = T_b/dx_b**2/d_b\n",
"A_b = k_b*(np.diag(np.ones(N_b)*2)\\\n",
" -np.diag(np.ones(N_b-1),-1)\\\n",
" -np.diag(np.ones(N_b-1),1))\n",
"e_b,v_b=np.linalg.eig(A_b)\n",
"isort = np.argsort(e_b.real)\n",
"e_b=e_b[isort]\n",
"v_b=v_b[:,isort]\n",
"print('Natural frequencies: B-string')\n",
"print('1.)',np.around((e_b[0:1].real**0.5/2/np.pi),2))\n",
"print('2.)',np.around((e_b[1:2].real**0.5/2/np.pi),2))\n",
"print('3.)',np.around((e_b[2:3].real**0.5/2/np.pi),2))"
]
},
{
"cell_type": "code",
"execution_count": 91,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Natural frequencies: G-string\n",
"1.) [196.04]\n",
"2.) [391.85]\n",
"3.) [587.2]\n"
]
}
],
"source": [
"N_g=45\n",
"dx_g=L/(N_g+1)\n",
"k_g = T_g/dx_g**2/d_g\n",
"A_g = k_g*(np.diag(np.ones(N_g)*2)\\\n",
" -np.diag(np.ones(N_g-1),-1)\\\n",
" -np.diag(np.ones(N_g-1),1))\n",
"e_g,v_g=np.linalg.eig(A_g)\n",
"isort = np.argsort(e_g.real)\n",
"e_g=e_g[isort]\n",
"v_g=v_g[:,isort]\n",
"print('Natural frequencies: G-string')\n",
"print('1.)',np.around((e_g[0:1].real**0.5/2/np.pi),2))\n",
"print('2.)',np.around((e_g[1:2].real**0.5/2/np.pi),2))\n",
"print('3.)',np.around((e_g[2:3].real**0.5/2/np.pi),2))"
]
},
{
"cell_type": "code",
"execution_count": 94,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Natural frequencies: D-string\n",
"1.) [146.89]\n",
"2.) [293.6]\n",
"3.) [439.97]\n"
]
}
],
"source": [
"N_d=45\n",
"dx_d=L/(N_d+1)\n",
"k_d = T_d/dx_d**2/d_d\n",
"A_d = k_d*(np.diag(np.ones(N_d)*2)\\\n",
" -np.diag(np.ones(N_d-1),-1)\\\n",
" -np.diag(np.ones(N_d-1),1))\n",
"e_d,v_d=np.linalg.eig(A_d)\n",
"isort = np.argsort(e_d.real)\n",
"e_d=e_d[isort]\n",
"v_d=v_d[:,isort]\n",
"print('Natural frequencies: D-string')\n",
"print('1.)',np.around((e_d[0:1].real**0.5/2/np.pi),2))\n",
"print('2.)',np.around((e_d[1:2].real**0.5/2/np.pi),2))\n",
"print('3.)',np.around((e_d[2:3].real**0.5/2/np.pi),2))"
]
},
{
"cell_type": "code",
"execution_count": 93,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Natural frequencies: A-string\n",
"1.) [110.01]\n",
"2.) [219.89]\n",
"3.) [329.51]\n"
]
}
],
"source": [
"N_a=45\n",
"dx_a=L/(N_a+1)\n",
"k_a = T_a/dx_a**2/d_a\n",
"A_a = k_a*(np.diag(np.ones(N_a)*2)\\\n",
" -np.diag(np.ones(N_a-1),-1)\\\n",
" -np.diag(np.ones(N_a-1),1))\n",
"e_a,v_a=np.linalg.eig(A_a)\n",
"isort = np.argsort(e_a.real)\n",
"e_a=e_a[isort]\n",
"v_a=v_a[:,isort]\n",
"print('Natural frequencies: A-string')\n",
"print('1.)',np.around((e_a[0:1].real**0.5/2/np.pi),2))\n",
"print('2.)',np.around((e_a[1:2].real**0.5/2/np.pi),2))\n",
"print('3.)',np.around((e_a[2:3].real**0.5/2/np.pi),2))"
]
},
{
"cell_type": "code",
"execution_count": 92,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Natural frequencies: E2-string\n",
"1.) [82.44]\n",
"2.) [164.78]\n",
"3.) [246.93]\n"
]
}
],
"source": [
"N_e2=45\n",
"dx_e2=L/(N_e2+1)\n",
"k_e2 = T_e2/dx_e2**2/d_e2\n",
"A_e2 = k_e2*(np.diag(np.ones(N_e2)*2)\\\n",
" -np.diag(np.ones(N_e2-1),-1)\\\n",
" -np.diag(np.ones(N_e2-1),1))\n",
"e_e2,v_e2=np.linalg.eig(A_e2)\n",
"isort = np.argsort(e_e2.real)\n",
"e_e2=e_e2[isort]\n",
"v_e2=v_e2[:,isort]\n",
"print('Natural frequencies: E2-string')\n",
"print('1.)',np.around((e_e2[0:1].real**0.5/2/np.pi),2))\n",
"print('2.)',np.around((e_e2[1:2].real**0.5/2/np.pi),2))\n",
"print('3.)',np.around((e_e2[2:3].real**0.5/2/np.pi),2))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"c. Create an audio signal that has the 18 frequencies (6 strings $\\times$ 3 modes) in an array and display it using the `from IPython.display import Audio` library. \n",
"\n",
"_Hint: you don't need to solve the differential equations here. You can use the calculated frequencies to add sine-waves together:_ $\\sin(f_12\\pi t)+\\sin(f_22\\pi t)+...$"
]
},
{
"cell_type": "code",
"execution_count": 113,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
" <audio controls=\"controls\" >\n",
" <source src=\"data:audio/wav;base64,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\" type=\"audio/wav\" />\n",
" Your browser does not support the audio element.\n",
" </audio>\n",
" "
],
"text/plain": [
"<IPython.lib.display.Audio object>"
]
},
"execution_count": 113,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"samplerate=20000\n",
"t=np.arange(0,3,1/samplerate)\n",
"E_note = 100*(np.sin(t*e_e.real[0]**0.5)+np.sin(t*e_e.real[1]**0.5)+np.sin(t*e_e.real[2]**0.5))\n",
"B_note = 100*(np.sin(t*e_b.real[0]**0.5)+np.sin(t*e_b.real[1]**0.5)+np.sin(t*e_b.real[2]**0.5))\n",
"G_note = 100*(np.sin(t*e_g.real[0]**0.5)+np.sin(t*e_g.real[1]**0.5)+np.sin(t*e_g.real[2]**0.5))\n",
"D_note = 100*(np.sin(t*e_d.real[0]**0.5)+np.sin(t*e_d.real[1]**0.5)+np.sin(t*e_d.real[2]**0.5))\n",
"A_note = 100*(np.sin(t*e_a.real[0]**0.5)+np.sin(t*e_a.real[1]**0.5)+np.sin(t*e_a.real[2]**0.5))\n",
"E2_note = 100*(np.sin(t*e_e2.real[0]**0.5)+np.sin(t*e_e2.real[1]**0.5)+np.sin(t*e_e2.real[2]**0.5))\n",
"allnotes = E2_note + A_note + D_note + G_note + B_note + E_note\n",
"gmajor = G_note + B_note + D_note\n",
"Audio(data=allnotes,rate=samplerate)"
]
},
{
"cell_type": "code",
"execution_count": 114,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
" <audio controls=\"controls\" >\n",
" <source src=\"data:audio/wav;base64,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\" type=\"audio/wav\" />\n",
" Your browser does not support the audio element.\n",
" </audio>\n",
" "
],
"text/plain": [
"<IPython.lib.display.Audio object>"
]
},
"execution_count": 114,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"Audio(data=gmajor,rate=samplerate)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"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": "3.7.3"
}
},
"nbformat": 4,
"nbformat_minor": 4
}