Semitone multiplier |
1.0594630943593 |
Semitone |
Note |
|
Frequency |
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Middle A frequency |
440 |
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|
(root multiply) |
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|
Multiplier for N semitones |
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|
-72 |
A |
|
6.87499999999998 |
|
|
|
-24 |
0.25 |
|
|
|
|
|
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|
|
|
|
-71 |
A# |
|
7.28380877372013 |
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|
-23 |
0.264865773589824 |
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|
Midi note no. |
|
-70 |
B |
|
7.71692658212692 |
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|
-22 |
0.280615512077343 |
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|
|
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|
0 |
|
-69 |
C |
|
8.17579891564368 |
|
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|
-21 |
0.29730177875068 |
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|
|
|
|
|
|
1 |
|
-68 |
C# |
|
8.66195721802723 |
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|
-20 |
0.314980262473718 |
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|
|
|
|
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2 |
|
-67 |
D |
|
9.17702399741896 |
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-19 |
0.333709963542508 |
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|
|
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|
|
3 |
|
-66 |
D# |
|
9.722718241315 |
|
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|
-18 |
0.353553390593273 |
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|
4 |
|
-65 |
E |
|
10.3008611535272 |
|
(standard tuning) |
|
-17 |
0.37457676921917 |
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5 |
|
-64 |
F |
|
10.9133822322813 |
|
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|
-16 |
0.39685026299205 |
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|
6 |
|
-63 |
F# |
|
11.5623257097385 |
|
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|
-15 |
0.420448207626857 |
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7 |
|
-62 |
G |
|
12.2498573744296 |
|
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|
-14 |
0.445449359070169 |
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8 |
|
-61 |
G# |
|
12.9782717993733 |
|
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|
-13 |
0.471937156340846 |
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|
9 |
|
-60 |
A |
|
13.75 |
|
|
|
-12 |
0.5 |
|
|
|
|
|
|
|
|
10 |
|
-59 |
A# |
|
14.5676175474403 |
|
|
|
-11 |
0.529731547179647 |
|
|
|
|
|
|
|
|
11 |
|
-58 |
B |
|
15.4338531642538 |
|
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|
-10 |
0.561231024154686 |
|
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|
12 |
|
-57 |
C |
|
16.3515978312874 |
|
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|
-9 |
0.59460355750136 |
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13 |
|
-56 |
C# |
|
17.3239144360545 |
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-8 |
0.629960524947436 |
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14 |
|
-55 |
D |
|
18.3540479948379 |
|
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-7 |
0.667419927085017 |
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15 |
|
-54 |
D# |
|
19.44543648263 |
|
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|
-6 |
0.707106781186547 |
|
|
|
|
|
|
|
|
16 |
|
-53 |
E |
|
20.6017223070543 |
|
|
|
-5 |
0.749153538438341 |
|
|
|
|
|
|
|
|
17 |
|
-52 |
F |
|
21.8267644645627 |
|
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|
-4 |
0.7937005259841 |
|
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|
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|
18 |
|
-51 |
F# |
|
23.1246514194771 |
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|
-3 |
0.840896415253714 |
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19 |
|
-50 |
G |
|
24.4997147488593 |
|
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|
-2 |
0.890898718140339 |
|
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|
20 |
Piano key no. |
-49 |
G# |
|
25.9565435987465 |
|
|
|
-1 |
0.943874312681693 |
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21 |
1 |
-48 |
A |
|
27.4999999999999 |
|
Piano, low A |
|
0 |
1 |
|
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22 |
2 |
-47 |
A# |
|
29.1352350948806 |
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|
1 |
1.0594630943593 |
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|
23 |
3 |
-46 |
B |
|
30.8677063285077 |
|
5-string bass low B string open |
|
2 |
1.12246204830937 |
|
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|
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|
24 |
4 |
-45 |
C |
|
32.7031956625748 |
|
|
|
3 |
1.18920711500272 |
|
|
|
|
|
|
|
|
25 |
5 |
-44 |
C# |
|
34.6478288721089 |
|
|
|
4 |
1.25992104989487 |
|
|
|
|
|
|
|
|
26 |
6 |
-43 |
D |
|
36.7080959896759 |
|
|
|
5 |
1.33483985417003 |
|
|
|
|
|
|
|
|
27 |
7 |
-42 |
D# |
|
38.89087296526 |
|
|
|
6 |
1.4142135623731 |
|
|
|
|
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|
28 |
8 |
-41 |
E |
|
41.2034446141087 |
|
4-string bass low E string open |
|
7 |
1.49830707687668 |
|
|
|
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|
29 |
9 |
-40 |
F |
|
43.6535289291254 |
|
|
|
8 |
1.5874010519682 |
|
|
|
|
|
|
|
|
30 |
10 |
-39 |
F# |
|
46.2493028389542 |
|
|
|
9 |
1.68179283050743 |
|
|
|
|
|
|
|
|
31 |
11 |
-38 |
G |
|
48.9994294977186 |
|
|
|
10 |
1.78179743628068 |
|
|
|
|
|
|
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|
32 |
12 |
-37 |
G# |
|
51.9130871974931 |
|
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|
11 |
1.88774862536339 |
|
|
|
|
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|
33 |
13 |
-36 |
A |
|
54.9999999999999 |
|
|
|
12 |
2 |
|
|
|
|
|
|
|
|
34 |
14 |
-35 |
A# |
|
58.2704701897612 |
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|
13 |
2.11892618871859 |
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|
35 |
15 |
-34 |
B |
|
61.7354126570154 |
|
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|
14 |
2.24492409661875 |
|
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|
|
|
|
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|
36 |
16 |
-33 |
C |
|
65.4063913251496 |
|
|
|
15 |
2.37841423000544 |
|
|
|
|
|
|
|
|
37 |
17 |
-32 |
C# |
|
69.2956577442179 |
|
|
|
16 |
2.51984209978975 |
|
|
|
|
|
|
|
|
38 |
18 |
-31 |
D |
|
73.4161919793518 |
|
|
|
17 |
2.66967970834007 |
|
|
|
|
|
|
|
|
39 |
19 |
-30 |
D# |
|
77.7817459305201 |
|
|
|
18 |
2.82842712474619 |
|
|
|
|
|
|
|
|
40 |
20 |
-29 |
E |
|
82.4068892282174 |
|
Guitar, low E open |
|
19 |
2.99661415375337 |
|
|
|
|
|
|
|
|
41 |
21 |
-28 |
F |
|
87.3070578582509 |
|
|
|
20 |
3.1748021039364 |
|
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|
|
|
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|
42 |
22 |
-27 |
F# |
|
92.4986056779085 |
|
|
|
21 |
3.36358566101486 |
|
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|
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|
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|
43 |
23 |
-26 |
G |
|
97.9988589954372 |
|
4 or 5 string bass, high G open |
|
22 |
3.56359487256136 |
|
|
|
|
|
|
|
|
44 |
24 |
-25 |
G# |
|
103.826174394986 |
|
|
|
23 |
3.77549725072678 |
|
|
|
|
|
|
|
|
45 |
25 |
-24 |
A |
|
110 |
|
Guitar, 5th string open |
|
24 |
4 |
|
|
|
|
|
|
|
|
46 |
26 |
-23 |
A# |
|
116.540940379522 |
|
|
|
|
|
|
|
|
|
|
|
|
|
47 |
27 |
-22 |
B |
|
123.470825314031 |
|
|
|
|
|
|
|
|
|
|
|
|
|
48 |
28 |
-21 |
C |
|
130.812782650299 |
|
6-string bass, high C open |
|
|
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|
|
|
|
|
|
|
49 |
29 |
-20 |
C# |
|
138.591315488436 |
|
|
|
|
|
|
|
|
|
|
|
|
|
50 |
30 |
-19 |
D |
|
146.832383958704 |
|
Guitar, 4th string open |
|
|
|
|
|
|
|
|
|
|
|
51 |
31 |
-18 |
D# |
|
155.56349186104 |
|
|
|
|
|
|
|
|
|
|
|
|
|
52 |
32 |
-17 |
E |
|
164.813778456435 |
|
|
|
|
|
|
|
|
|
|
|
|
|
53 |
33 |
-16 |
F |
|
174.614115716502 |
|
|
|
|
|
|
|
|
|
|
|
|
|
54 |
34 |
-15 |
F# |
|
184.997211355817 |
|
|
|
|
|
|
|
|
|
|
|
|
|
55 |
35 |
-14 |
G |
|
195.997717990875 |
|
Guitar, 3rd string open |
|
Violin, 4th |
|
|
|
|
|
|
|
|
|
56 |
36 |
-13 |
G# |
|
207.652348789972 |
|
|
|
|
|
|
|
|
|
|
|
|
|
57 |
37 |
-12 |
A |
|
220 |
|
|
|
|
|
|
|
|
|
|
|
|
|
58 |
38 |
-11 |
A# |
|
233.081880759045 |
|
|
|
|
|
|
|
|
|
|
|
|
|
59 |
39 |
-10 |
B |
|
246.941650628062 |
|
Guitar, 2nd string open |
|
|
|
|
|
|
|
|
|
|
|
60 |
40 |
-9 |
C |
|
261.625565300598 |
|
Piano, middle C |
|
|
|
|
|
|
|
|
|
|
|
61 |
41 |
-8 |
C# |
|
277.182630976872 |
|
|
|
|
|
|
|
|
|
|
|
|
|
62 |
42 |
-7 |
D |
|
293.664767917407 |
|
|
|
Violin, 3rd |
|
|
|
|
|
|
|
|
|
63 |
43 |
-6 |
D# |
|
311.126983722081 |
|
|
|
|
|
|
|
|
|
|
|
|
|
64 |
44 |
-5 |
E |
|
329.62755691287 |
|
Guitar, 1st string open |
|
|
|
|
|
|
|
|
|
|
|
65 |
45 |
-4 |
F |
|
349.228231433004 |
|
|
|
|
|
|
|
Scale (inches) |
Scale (cm) |
|
|
Scale (inches) |
Scale (cm) |
66 |
46 |
-3 |
F# |
|
369.994422711634 |
|
|
|
|
|
|
|
25.5 |
64.77 |
|
|
25.511811023622 |
64.8 |
67 |
47 |
-2 |
G |
|
391.995435981749 |
|
|
|
|
|
|
Fret |
Distance from nut |
Distance from nut |
|
Fret |
Distance from nut |
Distance from nut |
68 |
48 |
-1 |
G# |
|
415.304697579945 |
|
|
|
|
|
|
|
|
|
|
|
|
|
69 |
49 |
0 |
A |
|
440 |
|
Tuning-fork A |
|
Violin, 2nd |
|
|
0 |
0 |
0 |
|
0 |
0 |
0 |
70 |
50 |
1 |
A# |
|
466.16376151809 |
|
|
|
|
|
|
1 |
1.43120502661682 |
3.63526076760672 |
|
1 |
1.43186792843554 |
3.63694453822627 |
71 |
51 |
2 |
B |
|
493.883301256124 |
|
|
|
|
|
|
2 |
2.78208268742135 |
7.06649002605023 |
|
2 |
2.78337128523859 |
7.06976306450601 |
72 |
52 |
3 |
C |
|
523.251130601197 |
|
|
|
|
|
|
3 |
4.05714141103028 |
10.3051391840169 |
|
3 |
4.05902058722807 |
10.3099122915593 |
73 |
53 |
4 |
C# |
|
554.365261953744 |
|
|
|
|
|
|
4 |
5.26063658740546 |
13.3620169320099 |
|
4 |
5.26307319536628 |
13.3682059162303 |
74 |
54 |
5 |
D |
|
587.329535834815 |
|
|
|
|
|
|
5 |
6.39658476982232 |
16.2473253153487 |
|
5 |
6.39954752330533 |
16.2548507091955 |
75 |
55 |
6 |
D# |
|
622.253967444162 |
|
|
|
|
|
|
6 |
7.46877707974304 |
18.9706937825473 |
|
6 |
7.47223644846919 |
18.9794805791117 |
76 |
56 |
7 |
E |
|
659.25511382574 |
|
Guitar, 1st string 12 fret |
|
Violin, 1st |
|
|
7 |
8.48079185933207 |
21.5412113227034 |
|
7 |
8.48471997042949 |
21.5511887248909 |
77 |
57 |
8 |
F |
|
698.456462866008 |
|
|
|
|
|
|
8 |
9.43600661384037 |
23.9674567991545 |
|
8 |
9.44037715882131 |
23.9785579834061 |
78 |
58 |
9 |
F# |
|
739.988845423269 |
|
|
|
|
|
|
9 |
10.3376092837153 |
26.2575275806369 |
|
9 |
10.342397430674 |
26.2696894739118 |
79 |
59 |
10 |
G |
|
783.990871963499 |
|
|
|
|
|
|
10 |
11.1886088840555 |
28.419066565501 |
|
10 |
11.1937911947938 |
28.4322296347763 |
80 |
60 |
11 |
G# |
|
830.609395159891 |
|
|
|
|
|
|
11 |
11.991845546919 |
30.4592876891742 |
|
11 |
11.997399898724 |
30.4733957427588 |
81 |
61 |
12 |
A |
|
880 |
|
|
|
|
|
|
12 |
12.75 |
32.385 |
|
12 |
12.755905511811 |
32.4 |
82 |
62 |
13 |
A# |
|
932.32752303618 |
|
|
|
|
|
|
13 |
13.4656025133084 |
34.2026303838034 |
|
13 |
13.4718394760288 |
34.2184722691131 |
83 |
63 |
14 |
B |
|
987.766602512249 |
|
Guitar, 1st string 19 fret |
|
|
|
|
14 |
14.1410413437107 |
35.9182450130251 |
|
14 |
14.1475911544303 |
35.934881532253 |
84 |
64 |
15 |
C |
|
1046.5022612024 |
|
|
|
|
|
|
15 |
14.7785707055151 |
37.5375695920085 |
|
15 |
14.7854158054251 |
37.5549561457797 |
85 |
65 |
16 |
C# |
|
1108.73052390749 |
|
Guitar, 1st string 21 fret |
|
|
|
|
16 |
15.3803182937027 |
39.0660084660049 |
|
16 |
15.3874421094942 |
39.0841029581152 |
86 |
66 |
17 |
D |
|
1174.65907166963 |
|
Guitar, 1st string 22 fret |
|
|
|
|
17 |
15.9482923849112 |
40.5086626576744 |
|
17 |
15.9556792734637 |
40.5274253545978 |
87 |
67 |
18 |
D# |
|
1244.50793488832 |
|
|
|
|
|
|
18 |
16.4843885398715 |
41.8703468912737 |
|
18 |
16.4920237360456 |
41.8897402895559 |
88 |
68 |
19 |
E |
|
1318.51022765148 |
|
Guitar, 1st string 24 fret |
|
|
|
|
19 |
16.990395929666 |
43.1556056613517 |
|
19 |
16.9982654970258 |
43.1755943624455 |
89 |
69 |
20 |
F |
|
1396.91292573202 |
|
|
|
|
|
|
20 |
17.4680033069202 |
44.3687283995773 |
|
20 |
17.4760940912217 |
44.3892789917031 |
90 |
70 |
21 |
F# |
|
1479.97769084654 |
|
|
|
|
|
|
21 |
17.9188046418577 |
45.5137637903185 |
|
21 |
17.927104227148 |
45.5348447369559 |
91 |
71 |
22 |
G |
|
1567.981743927 |
|
|
|
|
|
|
22 |
18.3443044420278 |
46.5945332827505 |
|
22 |
18.3528011092079 |
46.6161148173882 |
92 |
72 |
23 |
G# |
|
1661.21879031978 |
|
|
|
|
|
|
23 |
18.7459227734595 |
47.6146438445871 |
|
23 |
18.754605461173 |
47.6366978713794 |
93 |
73 |
24 |
A |
|
1760 |
|
|
|
|
|
|
24 |
19.125 |
48.5775 |
|
24 |
19.1338582677165 |
48.6 |
94 |
74 |
25 |
A# |
|
1864.65504607236 |
|
|
|
|
|
|
|
|
|
|
|
|
|
95 |
75 |
26 |
B |
|
1975.5332050245 |
|
|
|
|
|
|
|
Scale (inches) |
Scale (cm) |
|
|
Scale (inches) |
Scale (cm) |
96 |
76 |
27 |
C |
|
2093.00452240479 |
|
|
|
|
|
|
|
24.75 |
62.865 |
|
|
24.7637795275591 |
62.9 |
97 |
77 |
28 |
C# |
|
2217.46104781498 |
|
|
|
|
|
|
Fret |
Distance from nut |
Distance from nut |
|
Fret |
Distance from nut |
Distance from nut |
98 |
78 |
29 |
D |
|
2349.31814333926 |
|
|
|
|
|
|
|
|
|
|
|
|
|
99 |
79 |
30 |
D# |
|
2489.01586977665 |
|
|
|
|
|
|
0 |
0 |
0 |
|
0 |
0 |
0 |
100 |
80 |
31 |
E |
|
2637.02045530296 |
|
|
|
|
|
|
1 |
1.38911076112809 |
3.52834133326534 |
|
1 |
1.38988414658326 |
3.53030573232148 |
101 |
81 |
32 |
F |
|
2793.82585146403 |
|
|
|
|
|
|
2 |
2.7002567260266 |
6.85865208410757 |
|
2 |
2.70176009014672 |
6.86247062897266 |
102 |
82 |
33 |
F# |
|
2959.95538169308 |
|
|
|
|
|
|
3 |
3.93781372247057 |
10.0020468550752 |
|
3 |
3.94000609470132 |
10.0076154805414 |
103 |
83 |
34 |
G |
|
3135.963487854 |
|
|
|
|
|
|
4 |
5.10591198189353 |
12.9690164340096 |
|
4 |
5.10875469118116 |
12.9762369156001 |
104 |
84 |
35 |
G# |
|
3322.43758063957 |
|
|
|
|
|
|
5 |
6.20844992365107 |
15.7694628060737 |
|
5 |
6.21190646938125 |
15.7782424322284 |
105 |
85 |
36 |
A |
|
3520.00000000001 |
|
|
|
|
|
|
6 |
7.24910716563295 |
18.4127322007077 |
|
6 |
7.25314309581345 |
18.4229834633662 |
106 |
86 |
37 |
A# |
|
3729.31009214472 |
|
|
|
|
|
|
7 |
8.23135680464583 |
20.9076462838004 |
|
7 |
8.23593960092616 |
20.9192865863524 |
107 |
87 |
38 |
B |
|
3951.066410049 |
|
|
|
|
|
|
8 |
9.15847700755095 |
23.2625315991794 |
|
8 |
9.16357597669538 |
23.2754829808063 |
108 |
88 |
39 |
C |
|
4186.00904480959 |
|
Piano, upper C |
|
|
|
|
9 |
10.0335619518413 |
25.485247357677 |
|
9 |
10.0391481232931 |
25.4994362331644 |
109 |
|
40 |
C# |
|
4434.92209562996 |
|
|
|
|
|
|
10 |
10.8595321521715 |
27.5832116665156 |
|
10 |
10.8655781813662 |
27.5985685806702 |
110 |
|
41 |
D |
|
4698.63628667853 |
|
|
|
|
|
|
11 |
11.6391442073037 |
29.5634262865515 |
|
11 |
11.6456242844095 |
29.5798856824002 |
111 |
|
42 |
D# |
|
4978.0317395533 |
|
|
|
|
|
|
12 |
12.375 |
31.4325 |
|
12 |
12.3818897637795 |
31.45 |
112 |
|
43 |
E |
|
5274.04091060593 |
|
|
|
|
|
|
13 |
13.069555380564 |
33.1966706666327 |
|
13 |
13.0768318370712 |
33.2151528661607 |
113 |
|
44 |
F |
|
5587.65170292807 |
|
|
|
|
|
|
14 |
13.7251283630133 |
34.8618260420538 |
|
14 |
13.7327698088529 |
34.8812353144863 |
114 |
|
45 |
F# |
|
5919.91076338616 |
|
|
|
|
|
|
15 |
14.3439068612353 |
36.4335234275376 |
|
15 |
14.3518928111302 |
36.4538077402707 |
115 |
|
46 |
G |
|
6271.926975708 |
|
|
|
|
|
|
16 |
14.9279559909468 |
37.9170082170048 |
|
16 |
14.9362671093701 |
37.9381184578001 |
116 |
|
47 |
G# |
|
6644.87516127914 |
|
|
|
|
|
|
17 |
15.4792249618255 |
39.3172314030369 |
|
17 |
15.4878429984702 |
39.3391212161142 |
117 |
|
48 |
A |
|
7040.00000000001 |
|
|
|
|
|
|
18 |
15.9995535828165 |
40.6388661003539 |
|
18 |
16.0084613116863 |
40.6614917316831 |
118 |
|
49 |
A# |
|
7458.62018428945 |
|
|
|
|
|
|
19 |
16.4906784023229 |
41.8863231419002 |
|
19 |
16.4998595642426 |
41.9096432931762 |
119 |
|
50 |
B |
|
7902.132820098 |
|
|
|
|
|
|
20 |
16.9542385037755 |
43.0637657995897 |
|
20 |
16.9636777521272 |
43.0877414904031 |
120 |
|
51 |
C |
|
8372.01808961918 |
|
|
|
|
|
|
21 |
17.3917809759207 |
44.1751236788385 |
|
21 |
17.4014638254261 |
44.1997181165822 |
121 |
|
52 |
C# |
|
8869.84419125993 |
|
|
|
|
|
|
22 |
17.8047660760858 |
45.2241058332578 |
|
22 |
17.8146788544627 |
45.2492842903351 |
122 |
|
53 |
D |
|
9397.27257335706 |
|
|
|
|
|
|
23 |
18.1945721036519 |
46.2142131432757 |
|
23 |
18.2047019059843 |
46.2399428412001 |
123 |
|
54 |
D# |
|
9956.06347910661 |
|
|
|
|
|
|
24 |
18.5625 |
47.14875 |
|
24 |
18.5728346456693 |
47.175 |
124 |
|
55 |
E |
|
10548.0818212119 |
|
|
|
|
|
|
|
|
|
|
|
|
|
125 |
|
56 |
F |
|
11175.3034058562 |
|
|
|
|
|
|
|
|
|
|
|
|
|
126 |
|
57 |
F# |
|
11839.8215267723 |
|
|
|
|
|
|
|
|
|
|
|
|
|
127 |
|
58 |
G |
|
12543.853951416 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
59 |
G# |
|
13289.7503225583 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
60 |
A |
|
14080 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
61 |
A# |
|
14917.2403685789 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
62 |
B |
|
15804.265640196 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
63 |
C |
|
16744.0361792384 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
64 |
C# |
|
17739.6883825199 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
65 |
D |
|
18794.5451467141 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
66 |
D# |
|
19912.1269582132 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
67 |
E |
|
21096.1636424237 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
68 |
F |
|
22350.6068117123 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
69 |
F# |
|
23679.6430535447 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
70 |
G |
|
25087.707902832 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
71 |
G# |
|
26579.5006451166 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
72 |
A |
|
28160.0000000001 |
|
|
|
|
|
|
|
|
|
|
|
|
|