Kmitočtové tabulky
|
TONE |
FREQUENCY |
LOGARITHM |
TABLE 1 |
|
|
MUSIC |
TECHN. |
|||
|
OCTAVE LOGARITHM |
||||
|
1A |
A1 |
55,00 |
1,7403627 |
|
|
0,30103 |
||||
|
A |
A2 |
110,00 |
2,0413927 |
|
|
0,30103 |
||||
|
a |
A3 |
220,00 |
2,3424227 |
|
|
0,30103 |
||||
|
a1 |
A4 |
440,00 |
2,6434527 |
|
|
0,30103 |
||||
|
a2 |
A5 |
880,00 |
2,9444827 |
|
|
0,30103 |
||||
|
a3 |
A6 |
1760,00 |
3,2455127 |
|
|
0,30103 |
||||
|
a4 |
A7 |
3520,00 |
3,5465427 |
|
|
|
||||
TABLE 2
Historical temperaments Bach - tuning
Tuning deviation oposite equal temperament
Octave A4 - A5 ( a1 - a2 )
2,9444827 - 2,6434527 = 0,3010300
|
NOTES |
Frequenncy |
Deviation |
Frequency |
Logarithm |
||
|
Music |
Tech.1 |
Tech.2 |
tempered |
in cent |
by Bach |
by Bach |
|
a1 |
A4 |
A4 |
440,00 |
0 |
440,00 |
2,6434527 |
|
b1 |
Ais4 |
Bb4 |
466,16 |
+4 |
467,24 |
2,6695400 |
|
h1 |
B4 |
B4 |
493,88 |
-6 |
492,17 |
2,6921151 |
|
c2 |
C5 |
C5 |
523,25 |
+8 |
525,67 |
2,7207132 |
|
cis2 |
Cis5 |
Cis5 |
554,37 |
-2 |
553,73 |
2,7432981 |
|
d2 |
D5 |
D5 |
587,33 |
+4 |
588,69 |
2,7698867 |
|
es2 |
Dis5 |
Es5 |
622,25 |
+2 |
622,97 |
2,7944671 |
|
e2 |
E5 |
E5 |
659,26 |
-5 |
657,35 |
2,8177967 |
|
f2 |
F5 |
F5 |
698,46 |
+6 |
700,88 |
2,8456437 |
|
fis2 |
Fis5 |
Ges5 |
739,99 |
-4 |
738,28 |
2,8682211 |
|
g2 |
G5 |
G5 |
783,99 |
+8 |
787,62 |
2,8963167 |
|
gis2 |
Gis5 |
As5 |
830,61 |
0 |
830,61 |
2,9193972 |
|
a2 |
A5 |
A5 |
880,00 |
0 |
880,00 |
2,9444827 |
|
THE MAJOR THIRD BY BACH |
TABLE 3 |
||||||
|
NOTES |
Frequency tempered |
Deviation in cent |
Frequency by Bach |
Logarithm by Bach |
Δ logarithm by Bach |
||
|
TECHN. |
MUSIC |
||||||
|
Ais4 |
Bb4 |
466,16 |
+4 |
467,24 |
|
2,66954 |
0,10235 |
|
Fis4 |
Ges4 |
369,99 |
-4 |
369,14 |
↑ |
2,56719 |
|
|
F4 |
F4 |
349,23 |
+6 |
350,44 |
|
2,54461 |
0,10235 |
|
Cis4 |
Des4 |
277,18 |
-2 |
276,86 |
↑ |
2,44226 |
|
|
C5 |
C5 |
523,25 |
+8 |
525,67 |
|
2,72071 |
0,10235 |
|
Gis4 |
As4 |
415,30 |
0 |
415,30 |
↑ |
2,61836 |
|
|
G4 |
G4 |
392,00 |
+8 |
393,81 |
|
2,59528 |
0,10184 |
|
Dis4 |
Es4 |
311,13 |
+2 |
311,49 |
↑ |
2,49344 |
|
|
D5 |
D5 |
587,33 |
+4 |
588,69 |
|
2,76988 |
0,10034 |
|
Ais4 |
Bb4 |
466,16 |
+4 |
467,24 |
↑ |
2,66954 |
|
|
A4 |
A4 |
440,00 |
0 |
440,00 |
|
2,64345 |
0,09884 |
|
F4 |
F4 |
349,23 |
+6 |
350,44 |
↑ |
2,54461 |
|
|
E4 |
E4 |
329,63 |
-5 |
328,68 |
|
2,51677 |
0,09708 |
|
C4 |
C4 |
261,63 |
+8 |
262,84 |
↑ |
2,41969 |
|
|
B4 |
B4 |
493,88 |
-6 |
492,17 |
|
2,69211 |
0,09683 |
|
G4 |
G4 |
392,00 |
+8 |
393,81 |
↑ |
2,59528 |
|
|
Fis4 |
Fis4 |
369,99 |
-4 |
369,14 |
|
2,56719 |
0,09835 |
|
D4 |
D4 |
293,66 |
+4 |
294,34 |
↑ |
2,46884 |
|
|
Cis5 |
Cis5 |
554,37 |
-2 |
553,73 |
|
2,74329 |
0,09984 |
|
A4 |
A4 |
440,00 |
0 |
440,00 |
↑ |
2,64345 |
|
|
Gis4 |
Gis4 |
415,30 |
0 |
415,30 |
|
2,61836 |
0,10159 |
|
E4 |
E4 |
329,63 |
-5 |
328,68 |
↑ |
2,51677 |
|
|
Dis4 |
Dis4 |
311,13 |
+2 |
311,49 |
|
2,49344 |
0,10235 |
|
B3 |
B3 |
246,94 |
-6 |
246,09 |
↑ |
2,39109 |
|
