a1=440 Hzに基づく12平均律音階(Hz)
|
|
|
|
|
|
|
|
|
|
|
| C |
16.352
|
32.703
|
65.406
|
130.81
|
261.63
|
523.25
|
1046.5
|
2093.0
|
4186.0
|
| Cis/Des |
17.324
|
34.648
|
69.296
|
138.59
|
277.18
|
554.37
|
1108.7
|
2217.5
|
4434.9
|
| D |
18.354
|
36.708
|
73.416
|
146.83
|
293.66
|
587.33
|
1174.7
|
2349.3
|
4698.6
|
| Dis/Es |
19.445
|
38.891
|
77.782
|
155.56
|
311.13
|
622.25
|
1244.5
|
2489.0
|
4978.0
|
| E |
20.602
|
41.203
|
82.407
|
164.81
|
329.63
|
659.26
|
1318.5
|
2637.0
|
5274.0
|
| F |
21.827
|
43.654
|
87.307
|
174.61
|
349.23
|
698.46
|
1396.9
|
2793.8
|
5587.7
|
| Fis/Ges |
23.125
|
46.249
|
92.499
|
185.00
|
369.99
|
739.99
|
1480.0
|
2960.0
|
5919.9
|
| G |
24.500
|
48.999
|
97.999
|
196.00
|
392.00
|
783.99
|
1568.0
|
3136.0
|
6271.9
|
| Gis/As |
25.957
|
51.913
|
103.83
|
207.65
|
415.30
|
830.61
|
1661.2
|
3322.4
|
6644.9
|
| A |
27.500
|
55.000
|
110.00
|
220.00
|
440.00
|
880.00
|
1760.0
|
3520.0
|
7040.0
|
| B |
29.135
|
58.270
|
116.54
|
233.08
|
466.16
|
932.33
|
1864.7
|
3729.3
|
7458.6
|
| H |
30.868
|
61.735
|
123.47
|
246.94
|
493.88
|
987.77
|
1975.5
|
3951.1
|
7902.1
|
a1=442 Hzに基づく12平均律音階(Hz)
|
|
|
|
|
|
|
|
|
|
|
| C |
16.426
|
32.852
|
65.704
|
131.41
|
262.81
|
525.63
|
1051.3
|
2102.5
|
4205.0
|
| Cis/Des |
17.403
|
34.805
|
69.611
|
139.22
|
278.44
|
556.89
|
1113.8
|
2227.5
|
4455.1
|
| D |
18.437
|
36.875
|
73.750
|
147.50
|
295.00
|
590.00
|
1180.0
|
2360.0
|
4720.0
|
| Dis/Es |
19.534
|
39.068
|
78.135
|
156.27
|
312.54
|
625.08
|
1250.2
|
2500.3
|
5000.7
|
| E |
20.695
|
41.391
|
82.781
|
165.56
|
331.13
|
662.25
|
1324.5
|
2649.0
|
5298.0
|
| F |
21.926
|
43.852
|
87.704
|
175.41
|
350.82
|
701.63
|
1403.3
|
2806.5
|
5613.1
|
| Fis/Ges |
23.230
|
46.460
|
92.919
|
185.84
|
371.68
|
743.35
|
1486.7
|
2973.4
|
5946.8
|
| G |
24.611
|
49.222
|
98.444
|
196.89
|
393.78
|
787.55
|
1575.1
|
3150.2
|
6300.4
|
| Gis/As |
26.075
|
52.149
|
104.30
|
208.60
|
417.19
|
834.38
|
1668.8
|
3337.5
|
6675.1
|
| A |
27.625
|
55.250
|
110.50
|
221.00
|
442.00
|
884.00
|
1768.0
|
3536.0
|
7072.0
|
| B |
29.268
|
58.535
|
117.07
|
234.14
|
468.28
|
936.57
|
1873.1
|
3746.3
|
7492.5
|
| H |
31.008
|
62.016
|
124.03
|
248.06
|
496.13
|
992.26
|
1984.5
|
3969.0
|
7938.1
|
平均律音階の計算の仕方: f=a1×2(n/12)
f:各音の周波数、a1:基準音a1の周波数、n:下のテーブルに示す各音のa1からの距離
|
|
|
|
|
|
|
|
|
|
|
| C |
-57
|
-45
|
-33
|
-21
|
-8
|
4
|
16
|
28
|
40
|
| Cis/Des |
-56
|
-44
|
-32
|
-20
|
-7
|
5
|
17
|
29
|
41
|
| D |
-55
|
-43
|
-31
|
-19
|
-6
|
6
|
18
|
30
|
42
|
| Dis/Es |
-54
|
-42
|
-30
|
-18
|
-5
|
7
|
19
|
31
|
43
|
| E |
-53
|
-41
|
-29
|
-17
|
-4
|
8
|
20
|
32
|
44
|
| F |
-52
|
-40
|
-28
|
-16
|
-3
|
9
|
21
|
33
|
45
|
| Fis/Ges |
-51
|
-39
|
-27
|
-15
|
-2
|
10
|
22
|
34
|
46
|
| G |
-50
|
-38
|
-26
|
-14
|
-1
|
11
|
23
|
35
|
47
|
| Gis/As |
-49
|
-37
|
-25
|
-12
|
0
|
12
|
24
|
36
|
48
|
| A |
-48
|
-36
|
-24
|
-11
|
1
|
13
|
25
|
37
|
49
|
| B |
-47
|
-35
|
-23
|
-10
|
2
|
14
|
26
|
38
|
50
|
| H |
-46
|
-34
|
-22
|
-9
|
3
|
15
|
27
|
39
|
51
|
a1=442 Hz のとき純正律と平均律の C-Durの比較
| 純正律 | 平均律 | |||||
|
|
265.20
|
1.00000 |
|
262.81
|
1.000000 | 1=20 |
|
|
298.35
|
1.12500 |
|
295.00
|
1.122462 | 22/12 |
|
|
331.50
|
1.25000 |
|
331.13
|
1.259921 | 24/12 |
|
|
353.60
|
1.33333 |
|
350.82
|
1.334840 | 25/12 |
|
|
397.80
|
1.50000 |
|
393.78
|
1.498307 | 27/12 |
|
|
442.00
|
1.66667 |
|
442.00
|
1.681793 | 29/12 |
|
|
497.25
|
1.87500 |
|
496.13
|
1.887749 | 211/12 |
|
|
530.40
|
2.00000 |
|
525.63
|
2.000000 | 2=21 |