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Let’s do some math exercises first! In the equally floating tuning, the tone distance between adjacent tones is the same for all tones. Therefore, this ratio is equal to the twelfth square root of power of 2: POWER(2;1/12) = 1.05946309. This means if we take A5 with a frequency pitch of 880 Hz, the semitone above A# is approximately 932,3 Hz (= 1,05946309 × 880).
Example with the formula in Microsoft Excel
A#4 is 1 semitone higher than A4
A#4 = 440*POWER(POWER(2;1/12);1) = 466.1 Hz
B4 is 2 semitones higher than A4
B4 = 440*POWER(POWER(2;1/12);2) = 493.8 Hz
A5 is 12 semitones higher than A4
B4 = 440*POWER(POWER(2;1/12);12) = 880 Hz
All scales in a clear table, scale degrees with corresponding triad and seventh chords. Ionian, Dorian, Phrygian, Lydian, Mixolydian, Aeolian, Locrian. Sharps and flats to quickly identify the key of a score through key signature. Circle of fourths and fifths with keys, major and relative minor scales.
NOTE | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
---|---|---|---|---|---|---|---|---|---|---|
C | 16,35 | 32,7 | 65,4 | 130,8 | 261,6 | 523,2 | 1046 | 2093 | 4186 | 8372 |
C# / Db | 17,32 | 34,64 | 69,29 | 138,5 | 277,1 | 554,3 | 1108 | 2217 | 4434 | 8869 |
D | 18,35 | 36,7 | 73,41 | 146,8 | 293,6 | 587,3 | 1174 | 2349 | 4698 | 9397 |
D# / Eb | 19,44 | 38,89 | 77,78 | 155,5 | 311,1 | 622,2 | 1244 | 2489 | 4978 | 9956 |
E | 20,6 | 41,2 | 82,4 | 164,8 | 329,6 | 659,2 | 1318 | 2637 | 5274 | 10548 |
F | 21,82 | 43,65 | 87,3 | 174,6 | 349,2 | 698,4 | 1396 | 2793 | 5587 | 11175 |
F# / Gb | 23,12 | 46,24 | 92,49 | 184,9 | 369,9 | 739,9 | 1479 | 2959 | 5919 | 11839 |
G | 24,49 | 48,99 | 97,99 | 195,9 | 391,9 | 783,9 | 1567 | 3135 | 6271 | 12543 |
G# / Ab | 25,95 | 51,91 | 103,8 | 207,6 | 415,3 | 830,6 | 1661 | 3322 | 6644 | 13289 |
A | 27,5 | 55 | 110 | 220 | 440 | 880 | 1760 | 3520 | 7040 | 14080 |
A# / Bb | 29,13 | 58,27 | 116,5 | 233 | 466,1 | 932,3 | 1864 | 3729 | 7458 | 14917 |
B | 30,86 | 61,73 | 123,4 | 246,9 | 493,8 | 987,7 | 1975 | 3951 | 7902 | 15804 |
Note: a C# and Db is in our Western music exact the same note (enharmonic).
BUT, in music theory a C# is not the same as a Db!
Note: the frequency (Hz) values are rounded without decimals for space-saving purposes.