Music Scale For sound(): Does anyone have one handy?
Darrin Smith
of Hz for each note (A flat, A, A sharp, B...). If anyone has one, or
knows of an FTP site that might, please let me know.
I can be reached at darr...@aol.com.
Thanks in advance.
Mark H. Linton
> The subject says it all. I'm looking for some kind soul to give me the #
> of Hz for each note (A flat, A, A sharp, B...). If anyone has one, or
> knows of an FTP site that might, please let me know.
A below middle-C is 440 Hz. All other notes are related to that by
the 12th root of 2 for each half step away from A-440.
What does this have to do with the C programming language?
--
Hope this helps.
Mark H. Linton
____________________________________________________________________
mark \'märk\ n [ME, fr. OE mearc boundary, march, sign; akin to OHG
marha boundary, L margo] 1 a : a conspicuous object serving as a guide
for travelers 2 : A standard or criterion of quality 3 : An object or
point that serves as a guide --idiom. mark time. 1 : To make little or
no progress
bob farrell
: The subject says it all. I'm looking for some kind soul to give me the #
: knows of an FTP site that might, please let me know.
The frequencies of eight octaves of musical notes (including flats and
sharps) are listed in:
_The New Peter Norton Programmer's Guide to the IBM PC & PS/2_ by
Peter Norton and Richard Wilton, Microsoft Press, 1988, p. 147.
There are way too many for me to retype here for you :-).
Bob Farrell
bob.f...@m.cc.utah.edu
Russell Edwards
>The subject says it all. I'm looking for some kind soul to give me the #
>of Hz for each note (A flat, A, A sharp, B...). If anyone has one, or
>knows of an FTP site that might, please let me know.
I don't have a table on hand but it is easy to work out... in
[some particular standard], A above middle C is defined as 440Hz. A
semitone rise in an even-tempered scale corresponsds to multiplying
the frequency by the 12th-root of 2. (ie 2^(1/12)
soo. A = 440
A# = 440 * 2^(1/12)
B = 440 * 2^(1/12) * 2^(1/12)
= 440 * 2^(2/12)
.....
A' = 440 * 2^(12/12)
= 440 * 2
which as you can see is all based on the fact that an octave is
a doubling of frequency and there are 12 semitones in an octave. To
go the other way (down), logically you divide by the 12th-root of 2..
HTH
Russell
--
Russell Edwards -- voo...@yoyo.cc.monash.edu.au -- IRC: VoodChile
Student of Computer Science and Electrical and Computer Systems Engineering
-\|/-\|/-\|/-\|/-\|/-\|/-\|/-\|/-\|/-\|/-\|/-\|/-\|/-\|/-\|/-\|/-\|/-\|/-\|/-
Six-Oh-Six-Oh-Eight-Four-Two and I'm waiting for you.
Dik T. Winter
> In article <3pg30c$a...@maverick.tad.eds.com>,
> > The subject says it all. I'm looking for some kind soul to give me the #
> > of Hz for each note (A flat, A, A sharp, B...). If anyone has one, or
> > knows of an FTP site that might, please let me know.
>
> the 12th root of 2 for each half step away from A-440.
So what do you mean with below middle-C? From A to A:
440, 466, 494, 523, 554, 587, 622, 659, 699, 739, 784, 828, 880
but this is only one of the many possibilities. Another one is:
440, ..., 495, 528, ..., 594, ..., 660, 704, ..., 792, ..., 880
However this one gives a-flat = 844.8, g-sharp = 825.
>
> What does this have to do with the C programming language?
Nothing.
--
dik t. winter, cwi, kruislaan 413, 1098 sj amsterdam, nederland, +31205924098
home: bovenover 215, 1025 jn amsterdam, nederland; e-mail: d...@cwi.nl
Jean-philippe Gariepy
: go the other way (down), logically you divide by the 12th-root of 2..
: HTH
: Russell
: --
: Russell Edwards -- voo...@yoyo.cc.monash.edu.au -- IRC: VoodChile
: Student of Computer Science and Electrical and Computer Systems Engineering
: -\|/-\|/-\|/-\|/-\|/-\|/-\|/-\|/-\|/-\|/-\|/-\|/-\|/-\|/-\|/-\|/-\|/-\|/-\|/-
: Six-Oh-Six-Oh-Eight-Four-Two and I'm waiting for you.
You're absolutely right. So, here's the requested chart:
float C2 = 65.406303,CS2 = 69.295563,DF2 = 69.295563,D2 = 73.416092,DS2 =
77.781639,EF2 = 77.781639,E2 = 82.406776,FF2 = 82.406776,ES2 =
87.306938,F2 = 87.306938,FS2 = 92.498474,GF2 = 92.498474,G2 =
97.998726,GS2 = 103.826027,AF2 = 103.826027,A2 = 110,AS2 =
116.540779,BF2 = 116.540779,B2 = 123.47065,BS2 = 130.8126, C3 =
130.812607,CS3 = 138.591125,DF3 = 138.591125,D3 = 146.832184,DS3 =
155.563278,EF3 = 155.563278,E3 = 164.813553,FF3 = 164.813553,ES3 =
174.613876,F3 = 174.613876,FS3 = 184.996948,GF3 = 184.996948,G3 =
195.997452,GS3 = 207.652054,AF3 = 207.652054,A3 = 220,AS3 =
233.081558,BF3 = 233.081558,B3 = 246.941299,BS3 = 261.6252, C4 =
261.625214,CS4 = 277.182251,DF4 = 277.182251,D4 = 293.664368,DS4 =
311.126556,EF4 = 311.126556,E4 = 329.627106,FF4 = 329.627106,ES4 =
349.227753,F4 = 349.227753,FS4 = 369.993896,GF4 = 369.993896,G4 =
391.994904,GS4 = 415.304108,AF4 = 415.304108,A4 = 440,AS4 =
466.163116,BF4 = 466.163116,B4 = 493.882599,BS4 = 523.2504, C5 =
523.250427,CS5 = 554.364502,DF5 = 554.364502,D5 = 587.328735,DS5 =
622.253113,EF5 = 622.253113,E5 = 659.254211,FF5 = 659.254211,ES5 =
698.455505,F5 = 698.455505,FS5 = 739.987793,GF5 = 739.987793,G5 =
783.989807,GS5 = 830.608215,AF5 = 830.608215,A5 = 880,AS5 =
932.326233,BF5 = 932.326233,B5 = 987.765198,BS5 = 1046.5008, C6 =
1046.500854,CS6 = 1108.729004,DF6 = 1108.729004,D6 = 1174.657471,DS6 =
1244.506226,EF6 = 1244.506226,E6 = 1318.508423,FF6 = 1318.508423,ES6 =
1396.911011,F6 = 1396.911011,FS6 = 1479.975586,GF6 = 1479.975586,G6 =
1567.979614,GS6 = 1661.216431,AF6 = 1661.216431,A6 = 1760,AS6 =
1864.652466,BF6 = 1864.652466,B6 = 1975.530396,BS6 = 2093.0016, C7 =
2093.001709,CS7 = 2217.458008,DF7 = 2217.458008,D7 = 2349.314941,DS7 =
2489.012451,EF7 = 2489.012451,E7 = 2637.016846,FF7 = 2637.016846,ES7 =
2793.822021,F7 = 2793.822021,FS7 = 2959.951172,GF7 = 2959.951172,G7 =
3135.959229,GS7 = 3322.432861,AF7 = 3322.432861,A7 = 3520,AS7 =
3729.304932,BF7 = 3729.304932,B7 = 3951.060791,BS7 = 4186.0032, C8 =
4186.003418,CS8 = 4434.916016,DF8 = 4434.916016,D8 = 4698.629883,DS8 =
4978.024902,EF8 = 4978.024902,E8 = 5274.033691,FF8 = 5274.033691,ES8 =
5587.644043,F8 = 5587.644043,FS8 = 5919.902344,GF8 = 5919.902344,G8 =
6271.918457,GS8 = 6644.865723,AF8 = 6644.865723,A8 = 7040,AS8 =
7458.609863,BF8 = 7458.609863,B8 = 7902.121582,BS8 = 8372.0064, C9 =
8372.006836,CS9 = 8869.832031,DF9 = 8869.832031,D9 = 9397.259766,DS9 =
9956.049805,EF9 = 9956.049805,E9 = 10548.067383,FF9 = 10548.067383,ES9 =
11175.288086,F9 = 11175.288086,FS9 = 11839.804687,GF9 = 11839.804687,G9 =
12543.836914,GS9 = 13289.731445,AF9 = 13289.731445,A9 = 14080,AS9 =
14917.219727,BF9 = 14917.219727,B9 = 15804.243164,BS9 = 16744.0128, C10 =
16744.013672,CS10 = 17739.664063,DF10 = 17739.664063,D10 = 18794.51953;
The first letter stands for the note
the second letter (if present) stands for the alteration (S=sharp, F=Flat
none=natural, I've included ES, FF, BS and CF even if it was not necessary)
the number stand for the octave #
so CS5 = C sharp in the fifth octave
______________________________________________________________________________
Jean-Philippe Gariepy (ga...@info.polymtl.ca / ga...@step.polymtl.ca)
Ecole Polytechnique de Montreal, Quebec, Canada
"Comme une minorite de Quebecois, j'appuie l'option de la souverainete"
______________________________________________________________________________
Johan Bertenstam
I had to post it (all though it is probably not supposed to be in this
newsgroup)
The scale is built up by dividing an octave into parts. An octave is always
a relation of 2:1 in frequency (i.e. A'=440Hz and A''=880Hz). If you do it the
simple way and just divide it evenly in 12 tones ( that is the standard western
scale) you get the tempered scale, just as mentioned by the first posting (Mark
Linton). In music you usally mesure the distance between notes in cents, and
you
get 1200 cents on an octave. This would result in (by multiplying with the 12
root of two to A=440Hz)
C 261,6 Hz
277.2
D 293.7
311.1
E 329.6
F 349.2
370.0
G 392.0
415.3
A 440.0
466.2
B 493.9
C'' 523.3
But as many probably know the music is often built up of chords, and
chords are built of notes that are (for instance) a major third and a fifth
appart (C-E-G) and then this notes should be frequency correct related. That
is,
a major third should be 5:4 in frequency and a fifth 3:2. If you look at the
scale above this is not true. The scale were this is correct is called
a diactonic scale but this one can be built up in many different ways since
you cannot have all tones frequency correct related. A piano or a synth is
mostly tuned in a equally tempered scale whilst a guitar often is tuned
diactonic (since the strings are at fifth.s from each others).
If you are further interested in the subject I suggest some book about
Musical Acoustics for instance
Musical Acoustics by Donald E. Hall
Hope this clears it up,
--
__________________________________________________________________________
/\ Johan Bertenstam \
\_| ---------------------- |
| | |
| Dept. Speech Communication | Phone: +46 8 790 7566 |
| and Music Acoustics | |
| KTH | |
| Box 700 44 | Fax: +46 8 790 7854 |
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| SWEDEN | WWW: http://www.speech.kth.se/~gojan/ |
| _____________________________________________________________________|_
\_/______________________________________________________________________/
Jos Horsmeier
|In article <1995May18.161422.23264@hrbicf> m...@icf.hrb.com (Mark H. Linton) writes:
| > In article <3pg30c$a...@maverick.tad.eds.com>,
| > dsmi...@ccun.eds.com (Darrin Smith) writes:
| > > The subject says it all. I'm looking for some kind soul to give me the #
| > > of Hz for each note (A flat, A, A sharp, B...). If anyone has one, or
| > > knows of an FTP site that might, please let me know.
| > A below middle-C is 440 Hz. All other notes are related to that by
| > the 12th root of 2 for each half step away from A-440.
|So what do you mean with below middle-C? From A to A:
| 440, 466, 494, 523, 554, 587, 622, 659, 699, 739, 784, 828, 880
|but this is only one of the many possibilities. Another one is:
| 440, ..., 495, 528, ..., 594, ..., 660, 704, ..., 792, ..., 880
|However this one gives a-flat = 844.8, g-sharp = 825.
Be careful with rounding (or truncating) those frequencies here. One
of the most important aspects of a `proper' major scale are the
harmonic progressions, i.e. a ratio of 3/2 for a quint/prime is much
more important than a proper equidistance distribution between those
tones. I, for myself, prefer the harmonic scales, i.e.
A= 440, E (quint of A) = 3/2*440 = 660, B (quint of E) = 3/2*660=
990 == (lower octave) 445, etc. etc.
Using this harmonic progression, the results are conform the idea
that e.g. f-sharp > g-flat.
| > What does this have to do with the C programming language?
|
|Nothing.
Allow me to correct this ;-)
char up[] = "A A#B C C#D D#E F F#G G#";
char dn[] = "A AbG GbF E EbD DbC B Bb";
int main() {
double f;
int i, j;
f= 440.0;
printf("up scale:\n");
for (i= 0, j= 0; i < 12; i++) {
printf(" %2.2s: %f\n", up+2*j, f);
f= 3.0/2.0*f;
if (f >= 880.0)
f/= 2.0;
j= (j+7)%12;
}
f= 880.0;
printf("down scale:\n");
for (i= 0, j= 0; i < 12; i++) {
printf(" %2.2s: %f\n", dn+2*j, f);
f= 2.0/3.0*f;
if (f <= 440.0)
f*= 2.0;
j= (j+7)%12;
}
return 0;
}
kind regards,
Jos aka jos@and,nl
A...@sbank.e-burg.su
>Thanks in advance.
Hello, Darrin!
Here You are:
(First octave in Hz)
H=494 | For every following note (let's say A#):
A#=466 | A#=A*(2^(1/12))
A=440 |
G#=415 |
G=392 |
F#=3. If anyone has one, or
>knows of an FTP site that might, please let me know.
>I can be reached at darr...@aol.com.
>Thanks in advance.
Alexander.
AA
G
E E :)
C C
H
Warren Porter
DSłFrom: dsmi...@ccun.eds.com (Darrin Smith)
DSłSubject: Music Scale For sound(): Does anyone have one handy?
DSłThe subject says it all. I'm looking for some kind soul to give me the #
DSłof Hz for each note (A flat, A, A sharp, B...). If anyone has one, or
DSłknows of an FTP site that might, please let me know.
Start with the 2nd space treble clef _A_ = 440. To go up a 1/2
step, multiply by the 12th root of 2 ~ 1.059463, to go down, divide
by it. The frequency will double or halve as you go up or down
respectively by octaves. HTH
---
ţ SPEED 1.30 #1672 ţ Open mouth, insert foot, echo internationally.
Alexander Podkolzin
(Repost, as I noticed my first letter was distorted)
^^^^^^
>The subject says it all. I'm looking for some kind soul to give me the #
>of Hz for each note (A flat, A, A sharp, B...). If anyone has one, or
>knows of an FTP site that might, please let me know.
>I can be reached at darr...@aol.com.
>Thanks in advance.
Here You are:
(First octave in hz)
H=494 | For every following note (let's say A#):
A#=466 | A#=A*(2^(1/12))
A=440 |
G#=415 |
G=392 |
F#=370 |
F=349 |
E=330 |
D#=311 |
D=294 |
C#=277 |
C=262 |
Good luck and good music!