பக்கம் எண் :

476
மேல் நாட்டாரின் சங்கீத முறையில் வழங்கிவரும் என் ஹார்மானிக் ஸ்கேல் என்ற சுருதி முறை.

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

i

1

2

3

4

5

6

7

8

9

Unison . . .

C

32.00

0

540

. . .

1

31.60

80/81

22

546.75

The Comma. J. I.

2

31.25

125/128

42

552.96

G # to A b. Mt. Great Diesis

3

C#

30.72

24/25

70

562.50

D to D # J. I.

Minor

4

30.63

67/70

76

564.18

C to C # or Small Semitone. Mt.

Seconds . .

5

30.34

128/135

92

569.53

C to C # J. I. Larget Limma.

6

Db

30.00

15/16

112

576

Diatonic Semitone. J. I.

7

29.91

100/107

117.5

577.8

Diatonic Semitone. Mt.

8

D

28.80

9/10

182

600

Small whole Tone. J.I. or Minor Tone.

Major

9

28.62

161/180

193

603.73

Every whole Tone. Mt.

Seconds . .

10

D

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

a

64/75

275

632.81

Augmented Tone.

Minor

13

Eb

27.

a

27/32

294

640

Pythagorean minor Third.

Thirds . . .

14

Eb

26.67

5/6

316

648.00

Minor Third. J. I.

Major

15

E

25.60

4/5

386

675.00

Major Third. J. I.

Thirds . . .

16

Fb

25.00

a

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

F

23.70

a

20/27

520

729

Acute Fourth.

Sharp

20

F#

23.04

a

18/25

569

750

Superfluous Fourth.

fourths or

21

F#

22.76

a

32/45

590

759 (3/8)

Tritone.

Flat Fifths.

22

Gb

22.50

a

45/64

610

768

Diminished Fifth.

23

Gb

22.22

a

25/36

631

777 (3/5)

Acute diminished Fifth.

24

G

21.60

a

27/40

680

800.

Grave Fifth.

Fifths. . . .

25

21.40

109/163

697

807.52

Fifth Mt.

26

G

21.33

2/3

702

810

Fifth. J.I. also Pythagorean.

Minor

27

G#

20.48

a

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

A

18.96

a

16/27

906

911 (1/4)

Pythagorean major Sixth.

Major Sixths

31

Bbb

18.75

a

75/128

926

922

Just diminished Seventh.

32

18.29

4/7

969

945

Trumpet Seventh. J. I.

33

A#

18.20

a

128/225

977

949 (2/9)

Extreme sharp Sixth.

Minor

34

Bb

18.00

9/16

996

960

Minor Seventh. J. I.

Sevenths ....

35

Bb

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

C

16.00

1/2

1200

1080

Octave. J. I. and Mt.

Common to Messrs. Ellis and Barton. Mentioned by Mr. Barton.Mentioned by Mr. Ellis.J. I. Stands for Just Intonation and Mt. For Meantone.

i இவ்வடையாளமுள்ள கணக்குகள் இந்நூலுக்குரியவை.