43-வது அட்டவணை.
CHIEF INTERVALS WITHIN AN OCTAVE.
Intervals.
No
Diatonic Names.
Positions of the intervals in a 32” String.
Marks.
Equivalent Fractions.
Cents.
Vibrations if the Vibrations for Unision is 540.
Just Intonation, Meantone and other Names.
i
1
2
3
4
5
6
7
8
9
Unison . . .
C
32.00
0
540
. . .
31.60
†
80/81
22
546.75
The Comma. J. I.
31.25
125/128
42
552.96
G # to A b. Mt. Great Diesis
C#
30.72
24/25
70
562.50
D to D # J. I.
Minor
30.63
67/70
76
564.18
C to C # or Small Semitone. Mt.
Seconds . .
30.34
128/135
92
569.53
C to C # J. I. Larget Limma.
Db
30.00
15/16
112
576
Diatonic Semitone. J. I.
29.91
100/107
117.5
577.8
Diatonic Semitone. Mt.
D
28.80
9/10
182
600
Small whole Tone. J.I. or Minor Tone.
Major
28.62
161/180
193
603.73
Every whole Tone. Mt.
10
28.44
8/9
204
607.50
Large whole Tone. J.I. or Major Tone.
11
Ebb
28.13
a
225/256
224
614.40
Diminished minor Third.
12
D#
27.31
64/75
275
632.81
Augmented Tone.
13
Eb
27.
27/32
294
640
Pythagorean minor Third.
Thirds . . .
14
26.67
‡
5/6
316
648.00
Minor Third. J. I.
15
E
25.60
4/5
386
675.00
Major Third. J. I.
16
Fb
25.00
25/32
427
691.20
Diminished Fourth.
17
F
24.00
3/4
498
720.
Fourth. J. I.
Fourths . . .
18
23.93
80/107
503
722.25
Fourth. Mt.
19
23.70
20/27
520
729
Acute Fourth.
Sharp
20
F#
23.04
18/25
569
750
Superfluous Fourth.
fourths or
21
22.76
32/45
590
759 (3/8)
Tritone.
Flat Fifths.
Gb
22.50
45/64
610
768
Diminished Fifth.
23
22.22
25/36
631
777 (3/5)
Acute diminished Fifth.
24
G
21.60
27/40
680
800.
Grave Fifth.
Fifths. . . .
25
21.40
109/163
697
807.52
Fifth Mt.
26
21.33
2/3
702
810
Fifth. J.I. also Pythagorean.
27
G#
20.48
16/25
773
843 (3/4)
Grave superfluons Fifth.
Sixths . . .
28
Ab
20.00
5/8
814
864
Minor Sixth. J. I
29
A
19.20
3/5
884
900
Major Sixth. J. I.
30
18.96
16/27
906
911 (1/4)
Pythagorean major Sixth.
Major Sixths
31
Bbb
18.75
75/128
926
922
Just diminished Seventh.
32
18.29
4/7
969
945
Trumpet Seventh. J. I.
33
A#
18.20
128/225
977
949 (2/9)
Extreme sharp Sixth.
34
Bb
18.00
9/16
996
960
Minor Seventh. J. I.
Sevenths ....
35
17.78
5/9
1018
972
Acute minor Seventh. J. I.
Major 7th.
36
B
17.07
8/15
1088
1012.50
Major Seventh. J. I.
Octave . . .
37
16.00
1/2
1200
1080
Octave. J. I. and Mt.
‡ Common to Messrs. Ellis and Barton. † Mentioned by Mr. Barton.
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