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THE PHONOGRAPHIC METHOD
23 (?)
10
9
8
10
9
10
9
10
8
10
8
12
12
15 (?)
8
12
12
14
11
11
12
20
13
16
16
14
9(?)
16
16
15
15
20
In Appendix XX to Mr. A. J. Ellis's translation of Helmholtz's " Sensa­tions of Tone," he has given methods by which the number of cents covered by any interval may be calculated from its expression as a vibration ratio. The following table gives the span, in cents, of intervals covering multiples of the tenth of a vibration up to thirty, in the neighborhood of 250 per second: —
Tenths of a
Tenths of a
Tenths of a
vibration
Cents
vibration
Cents
vibration
Cents
1
1
11
7
21
14
2
1
12
8
22
15
3
2
13
9
23
16
4
3
14
9
24
16
5
3
15
10
25
17
6
4
16
11
26
18
7
5
17
12
27
18
8
5
18
12
28
19
9
6
19
13
29
20
10
7
20
14
30
20
Leaving out the rate 23 as doubtful, the phonographic note made, at the be­ginning of the first reproduction of Series I, one beat per second with the fork; and toward the end, 1.6 beats. The variation here amounted then to .6 of a vibration, and according to the above table covered an interval of 4c, or the fiftieth part of a tone. In the second reproduction it was .8 of a vibration, or 5c; in the third, 1.1, or 7c; and in the fourth, .5, or 3c. The lowest rate of beating counted at any time during the ten minutes was 8, the highest 20, in ten seconds; the total span of the variation noted in the ten minutes being accordingly 1.2 vibration, or 8c, that is, one twenty-fifth of a tempered tone. During the ten second spaces the beats were not entirely regular, a certain momentary hurrying and slackening of them being occasionally noticeable.
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E-Book - An Annotated Compendium of Old Time American Songs by James Alverson III