Thursday, 12 July 2012

calculator note names


The English and American scientific system versus the German system
Scientific Pitch Notation (SPN)
The standard tuning pitch is A4 (A above middle C) − in German-speaking countries it is called a’.
The notes have different names. The German system is used also in many other countries, as there
are e.g. Poland, Czech Republic, and Russia. The frequencies of the 88-key piano keyboard are:

Piano
  key number  		English
Notation		German
Notation		Frequency
Hz
88C8 (last tone)c’’’’’4186.01
87B7h’’’’3951.07
86A#7/Bb7ais’’’’/b’’’’3729.31
85A7a’’’’3520.00
84G#7/Ab7gis’’’’/as’’’’3322.44
83G7g’’’’3135.96
82F#7/Gb7fis’’’’/ges’’’’2959.96
81F7f’’’’2793.83
80E7e’’’’2637.02
79D#7/Eb7dis’’’’/es''''2489.02
78D7d’’’’2349.32
77C#7/Db7cis’’’’/des’’’’2217.46
76C7c’’’’2093.00
75B6h’’’1975.53
74A#6/Bb6ais’’’/b’’’1864.66
73A6a’’’1760.00
72G#6/Ab6gis’’’/as’’’1661.22
71G6g’’’1567.98
70F#6/Gb6fis’’’/ges’’’1479.98
69F6f’’’1396.91
68E6e’’’1318.51
67D#6/Eb6dis’’’/es’’’1244.51
66D6d’’’1174.66
65C#6/Db6cis’’’/des’’’1108.73
64C6 (high C)c’’’1046.50
63B5h’’987.767
62A#5/Bb5ais’’/b’’932.328
61A5a’’880.000
60G#5/Ab5gis’’/as’’830.609
59G5g’’783.991
58F#5/Gb5fis’’/ges’’739.989
57F5f’’698.456
56E5e’’659.255
55D#5/Eb5dis’’/es’’622.254
54D5d’’587.330
53C#5/Db5cis’’/des’’554.365
52C5c’’523.251
51B4h’493.883
50A#4/Bb4ais’/b’466.164
49A4 concert pitch a’ Kammerton    440.000
48G#4/Ab4gis’/as'’415.305
47G4g’391.995
46F#4/Gb4fis’/ges’369.994
45F4f’349.228
44E4e’329.628
43D#4/Eb4dis’/es’311.127
42D4d’293.665
41C#4/Db4cis’/des’277.183
40C4 (middle C)c’ (Schloss-C)261.626
39B3h246.942
38A#3/Bb3ais/b233.082
37A3a220.000
36G#3/Ab3gis/as207.652
35G3g195.998
34F#3/Gb3fis/ges184.997
33F3f174.614
32E3e164.814
31D#3/Eb3dis/es155.563
30D3d146.832
29C#3/Db3cis/des138.591
28C3c130.813
27B2H123.471
26A#2/Bb2Ais/B116.541
25A2A110.000
24G#2/Ab2Gis/As103.826
23G2G97.9989
22F#2/Gb2Fis/Ges92.4986
21F2F87.3071
20E2E82.4069
19D#2/Eb2Dis/Es77.7817
18D2D73.4162
17C#2/Db2Cis/Des69.2957
16C2 (low C)C65.4064
15B1,H61.7354
14A#1/Bb1,Ais/,B    ~60 Hz58.2705
13A1,A55.0000
12G#1/Ab1,Gis/,As51.9130
11G1,G           ~50 Hz48.9995
10F#1/Gb1,Fis/,Ges46.2493
9F1,F43.6536
8E1,E41.2035
7D#1/Eb1,Dis/,Es38.8909
6D1,D36.7081
5C#1/Db1,Cis/,Des34.6479
4C1,C32.7032
3B0,,H30.8677
2A#0/Bb0,,Ais/,,B29.1353
1A0 (first tone),,A27.5000

In the twelve-semitone scale the frequency of the next semitone (halftone) is higher or
lower by the factor of twelfth root of two = 1.0594630943592952645618252949463.

A sound engineer should know the following: The AC hum of 50 Hz in Europe is close to
the pitch of G1 = 48.99 Hz (49 Hz). The AC hum of 60 Hz in the U.S. is a minor third higher
close to the pitch of A#1/Bb1 = 58.27 Hz (58 Hz).
So you can find out logically, whether a sound recording was made in Europe or in the U.S.

A pure tone with the frequency f = 440 Hz has the amplitude function:
A = sin (880 π t) - where t is given in seconds.

The following equation will give the frequency f of the
nth piano key number, as shown in the table:
f(n) = 440\ (\sqrt[12]{2}\,)^{n-49}\,
Alternatively, this can be written as:
f(n) = 440 \times 2^{\frac{n-49}{12}}\,

Notenlinie
Notes and keyboard
Notes and keybord


One octave

The concert pitch A4 (a') lies in the octave between C4 (c') and C5 (c'').
Some manufacturers label the 440 Hz concert pitch not correct as A3. It is A4.
Name and frequency of the octave positions
EnglishA0A1A2A3A4A5A6A7A8
German,,A,AAaa’a’’a’’’a’’’’a’’’’’
Frequency in Hz 27.555110220440880176035207040

Numbers of the lowest c note for the respective musical octave.
All octaves
Ranges of some popular instruments
InstrumentStartsStops
guitarE2E6
seven string guitarB1E6
celloC2A6
4-string bass guitarE1E5
pianoA0C8
piccoloC5C8
violinG3E7
All piano keys
Oktaveinteilung

Frequencies of the equal temperament − table or chart
Octave012345678910
C / B#16.35232.70365.406130.813261.626523.2511046.5022093.0054186.0098372.01816744.036
C# / Db17.32434.64869.296138.591277.183554.3651108.7312217.4614434.9228869.84417739.688
D18.35436.70873.416146.832293.665587.3301174.6592349.3184698.6369397.27318794.545
D# / Eb19.44538.89177.782155.563311.127622.2541244.5082489.0164978.0329956.06319912.127
E / Fb20.60241.20382.407164.814329.628659.2551318.5102637.0205274.04110548.082-
F / E#21.82743.65487.307174.614349.228698.4561396.9132793.8265587.65211175.303-
F# / Gb23.12546.24992.499184.997369.994739.9891479.9782959.9555919.91111839.822-
G24.50048.99997.999195.998391.995783.9911567.9823135.9636271.92712543.854-
G# / Ab25.95751.913103.826207.652415.305830.6091661.2193322.4386644.87513289.750-
A27.50055.000110.000220.000440.000880.0001760.0003520.0007040.00014080.000-
A# / Bb29.13558.270116.541233.082466.164932.3281864.6553729.3107458.62014917.240-
B / Cb30.86861.735123.471246.942493.883987.7671975.5333951.0667902.13315804.266-

Comparing the Frequency Ratios for Equal Temperament and Pure Harmonic Series
Interval table

Frequencies of music Ranges - Fundamental frequencies of instruments
also the vocal range: bass, baritone, tenor, alto and soprano
MIDI note numbers (midi files)
Octave notation is given here in the international standard ISO system, formerly known as the ASA (Acoustical Society of America) or ANSI system. In this system, middle C (MIDI note number 60) is C4; octaves start with C, so the B just below (MIDI number 59) is B3.
The lowest note of the normal modern piano is A0 (MIDI 21), though Boesendorfer Imperials go down to F0 or even C0. The highest note of the piano is C8 (MIDI 108).

Octave #MIDI Note Numbers
CC#DD#EFF#GG#AA#B
−101234567891011
0121314151617181920212223
1242526272829303132333435
2363738394041424344454647
3484950515253545556575859
4606162636465666768697071
5727374757677787980818283
6848586878889909192939495
796979899100101102103104105106107
8108109110111112113114115116117118119
9120121122123124125126127    

Note: The MIDI specification only defines note number 60 as "Middle C", and all other notes are relative. The absolute octave number designations shown here are based on Middle C = C4, which is an arbitrary assignment.

Method for finding the corresponding MIDI note number for a given frequency: Original expression f = 440 × 2(n − 69) / 12
Simplification step 1: f / 440 = 2(n − 69) / 12
Simplification step 2: log2 (f / 440) = (n − 69) / 12
Simplification step 3: 12 × log2 (f / 440) = n – 69
 
Formula for finding a MIDI note number given the frequency in Hz of the MIDI note: n = (12 × log2 (f / 440)) + 69
Given the frequency f for a note in Hz, it is possible to find the corresponding MIDI note number represented by the variable n.
 
One version of the MIDI system uses C3 to designate Middle C (MIDI note 60 = 261.626 Hz).
That means that the octave designation for MIDI note "0" would be "-2" or notated as C-2.
Another version of the MIDI system uses the lowest note available to the MIDI system.
MIDI note 1 = 8.176 Hz to designate Octave "0" with the notation of C0. In this system, Middle C.
MIDI note 60 = 261.626 Hz is octave 5 with the notation of C5.
MIDI Notes and their corresponding frequencies
MIDI 60 is C4, and not C5.
NoteMIDIHz    NoteMIDIHz    NoteMIDIHz    NoteMIDIHz
C -08.176   G# 13251.913   E 464329.63   C 7962093.0
C# -18.662   A 13355.000   F 465349.23   C# 7972217.5
D -29.177   A# 23458.270   F# 466369.99   D 7982349.3
D# -39.723   B 13561.735   G 467391.99   D# 7992489.0
E -410.301    C 23665.406   G# 468415.31   E 71002637.0
F -510.913   C# 23769.295   A 469440.00   F 71012793.8
F# -611.562   D 23873.416   A# 470466.16   F# 71022960.0
G -712.250   D# 23977.781   B 471439.88   G 71033136.0
G# -812.978   E 24082.406   C 572523.25   G# 71043322.4
A -913.750   F 24187.307   C# 573554.37   A 71053520.0
A# -1014.568   F# 24292.499   D 574587.33   A# 71063729.3
B -1115.434   G 24397.998   D# 575622.25   B 71073951.1
C 01216.352   G# 244103.82   E 576659.26   C 81084186.0
C# 01317.324   A 245110.00   F 577698.46   C# 81094434.9
D 01418.354   A# 246116.54   F# 578739.99   D 81104698.6
D# 01519.445   B 247123.47   G 579783.99   D# 81114978.0
E 01620.601   C 348130.81   G# 580830.61   E 81125274.0
F 01721.826   C# 349138.59   A 581880.00   F 81135587.7
F# 01823.124   D 350146.83   A# 582932.32   F# 81145919.9
G 01924.499   D# 351155.56   B 583987.77   G 81156271.9
G# 02025.956   E 352164.81   C 6841046.5   G# 81166644.9
A 02127.50   F 353174.61   C# 6851108.7   A 81177040.0
A# 02229.135   F# 354184.99   D 6861174.7   A# 81187458.6
B 02330.867   G 355195.99   D# 6871244.5   B 81197902.1
C 12432.703   G# 356207.65   E 6881318.5   C 91208372.0
C# 12534.648   A 357220.00   F 6891396.9   C# 91218869.8
D 12636.708   A# 358233.08   F# 6901480.0   D 91229397.3
D# 12738.890   B 359246.94   G 6911568.0   D# 91239956.1
E 12841.203   C 460261.63   G# 6921661.2   E 912410548.1
F 12943.653   C# 461277.18   A 6931760.0   F 912511175.3
F# 13046.249   D 462293.66   A# 6941864.7   F# 912611839.8
G 13148.999   D# 463311.13   B 6951975.5   G 912712543.9

sengpielaudio
Frequency to Musical Note Converter
Find out what note a given frequency is. English system.
 
Frequency  Hz
  
  ↓  
  
Note 
 Offset  cents 
 
The frequency of 440 Hz is the concert pitch note A4.
If someone tells you different, this person is in error.
 
Since 1939 in many countries the valid standard pitch is set at A4 = 440 Hz. In German and Austrian symphony orchestras, however, a tuning for A4 = 443 Hz is common.
In Switzerland it is A4 = 442 Hz. Herbert von Karajan tuned his Berlin Philharmonic Orchestra at A4 = 444 Hz.
That is however, not the standard pitch.

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