是的,你读得对。播放圆周率的声音。
更具体地说,对于前1000位圆周率的每一位数字,将其映射到一个音符,并将产生的旋律输出到一个文件中。
基本上,每一个数字都变成了一个C级音阶(基本上是正常音阶)。因此,1转到中间C,2转到D4,3转到E4,9转到D5等等。
示例mathematica代码:
(*please forgive me for this horrible, horrible mess of code*)
digits = RealDigits[Pi, 10, 1000][[1]] /. {0 -> 10};
weights = {0, 2, 4, 5, 7, 9, 11, 12, 14, 16};
melody = {};
For[i = 1, i < 1001, i++, melody = {melody , Sound[SoundNote[weights[[digits[[i]]]], 0.5]]}]
final = Sound[Flatten[melody]];
Export["C:\\Mathematica Shenanigans\\pi.wav", final];显示前100位数字的旋律示例:http://vocaroo.com/i/s0cfEILwYb8M
对于你的理智,每个音符的音高表以及每个数字代表什么音符:
Digit 1: C: 261.63 Hz
Digit 2: D: 293.66 Hz
Digit 3: E: 329.63 Hz
Digit 4: F: 349.23 Hz
Digit 5: G: 392.00 Hz
Digit 6: A: 440.00 Hz
Digit 7: B: 493.88 Hz
Digit 8: C5: 523.25 Hz
Digit 9: D5: 587.33 Hz
Digit 0: E5: 659.25 Hz发布于 2017-01-18 12:16:34
x=p=6637
while~-p:x=p/2*x/p+2*10**999;p-=2
s="MThd\0\0\0\6\0\1\0\1\342\4MTrk\0\0\13\301\0\220"
for i in`x`:s+="JHGECA@><L\260"[~ord(i)%29]+'{<'
open('p.mid','w').write(s+"\0\377/\0")`x`将生产31415926...20198L。尾随L用于通过映射~ord(i)%29生成最终的通道消息字节。
向当前工作目录输出一个名为p.mid的单轨Type 1 Midi文件。
0000: 4d 54 68 64 00 00 00 06 MThd.... # Midi header, 6 bytes to follow
0008: 00 01 00 01 .... # Type 1, 1 track
000c: e2 04 â. # (-)30 ticks per beat, 4 beats per second
000e: 4d 54 72 6b 00 00 0b c1 MTrk...Á # Track header, 3009 bytes to follow
0016: 00 90 40 7b ..@{ # Wait 0 ticks, play E4 (3), 97% volume
001a: 3c 3c 7b <<{ # Wait 60 ticks, play C4 (1), 97% volume
001d: 3c 41 7b <A{ # Wait 60 ticks, play F4 (4), 97% volume
0020: 3c 3c 7b <<{ # Wait 60 ticks, play C4 (1), 97% volume
0023: 3c 43 7b <C{ # Wait 60 ticks, play G4 (5), 97% volume
...
0bcf: 3c b0 7b 3c <°{< # Wait 60 ticks, all notes off
0bd3: 00 ff 2f 00 .ÿ/. # End of track marker发布于 2017-01-18 14:13:35
N=261.63*(2^(1/12))^c(16,0,2,4,5,7,9,11,12,14);S=44100;s=unlist(sapply(el(strsplit(as(Rmpfr::Const("pi",1e5),"character"),""))[c(1,3:1001)],function(x)sin(0:(0.5*S-1)*pi*2*N[(x:1)[1]+1]/S)));c=32767*s/max(abs(s));a=file("p.wav","wb");v=writeChar;w=function(x,z)writeBin(as.integer(x),a,z,e="little");v("RIFF",a,4,NULL);w(36+S*10,4);v("WAVEfmt ",a,8,NULL);w(16,4);w(c(1,1),2);w(S*1:2,4);w(c(2,16),2);v("data",a,4,NULL);w(2*length(s),4);w(c,2);close(a)使用包Rmpfr在pi位上获得正确的精度。输出一个.wav文件。
缩进,加上新的行和注释:
N=261.63*(2^(1/12))^c(16,0,2,4,5,7,9,11,12,14) # Frequency of each notes
S=44100 #Sampling rate
s=unlist(sapply(el(strsplit(
as(Rmpfr::Const("pi",1e5),"character"), #get pi correct digits as a character string
""))[c(1,3:1001)], #Grabs first 1000 digits
function(x)sin(0:(0.5*S-1)*pi*2*N[(x:1)[1]+1]/S))) #Wave function
c=32767*s/max(abs(s)) #Normalize to range [-32767;32767] as per wav 16-bit standard
a=file("p.wav","wb")
v=writeChar
w=function(x,z)writeBin(as.integer(x),a,z,e="little")
v("RIFF",a,4,NULL) #ChunkID
w(36+S*10,4) #Chunksize
v("WAVEfmt ",a,8,NULL) #Format, followed by SubChunk1ID
w(16,4) #SubChunk1Size
w(c(1,1),2) #AudioFormat & NumChannels
w(S*1:2,4) #SampleRate & ByteRate
w(c(2,16),2) #BlockAlign & BitsPerSample
v("data",a,4,NULL) #SubChunk2ID
w(2*length(s),4) #Subchunk2Size
w(c,2) #Actual data
close(a)发布于 2017-02-05 17:22:43
p(float f){i;char b[10000];p=3.14;for(i= 0;i<5000;i++){b[i]=35*sin(f*(2*p*i)/10000);putchar(b[i]);}} f(){i;FILE *f;char p[1001];float n[10];n[0]= 261.63;for(i=1;i<=6;i++){if(i==3)n[i]=349.23;else n[i]=1.12231*n[i-1];}for(i=7;i<=9;i++)n[i]=2*n[i-7];f=popen("pi 1000","r");fgets(p,sizeof(p)-1,f);for(i=0;i<999;i++){switch(p[i]){case'1':p(n[0]);break;case'2':p(n[1]);break;case'3':p(n[2]);break;case'4':p(n[3]);break;case'5':p(n[4]);break;case'6':p(n[5]);break;case'7':p(n[6]);break;case'8':p(n[7]);break;case'9':p(n[8]);break;case'0':p(n[9]);break;default:p(n[0]);break;}}}非高尔夫版本:
void play(float freq)
{
char buffer[10000];
float pi=3.14;
for(int i = 0; i<5000; i++)
{
buffer[i] = 35*sin(freq*(2*pi*i)/10000 );
putchar(buffer[i]);
}
}
void f()
{
FILE *fp;
char pi[1001];
float note[10];
note[0]= 261.63;
for(int i=1;i<=6;i++)
{
if(i==3)
note[i]=349.23;
else
note[i]=1.12231*note[i-1];
}
for(int i=7;i<=9;i++)
note[i]=2*note[i-7];
fp=popen("pi 1000","r" );
fgets(pi, sizeof(pi)-1, fp);
for(int i=0;i<1001;i++)
{
switch(pi[i])
{
case '1': play(note[0]);break;
case '2': play(note[1]);break;
case '3': play(note[2]);break;
case '4': play(note[3]);break;
case '5': play(note[4]);break;
case '6': play(note[5]);break;
case '7': play(note[6]);break;
case '8': play(note[7]);break;
case '9': play(note[8]);break;
case '0': play(note[9]);break;
default : play(note[0]);break;
}
}
}解释:
play(float freq)例程将频率作为要播放的音符(硬编码)的参数,并将正弦波存储在缓冲区中。f()中,我将与从C4到E5的音符对应的频率存储在notes数组中。pi值后面的1000位数字按buffer.In顺序存储,我在机器上安装了pi包,并使用popen读取pi 1000的输出并将其存储在char缓冲区中。for循环和switch,我调用play()函数来生成与pi缓冲区中的每一个数字对应的注释。,用法:在现代Linux发行版上的./binary_name.o | aplay,在旧的发行版上,您可以将它重定向到/dev/audio。
https://codegolf.stackexchange.com/questions/107180
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