Quelle: BILLETER, Seite 37 (Angabe ganzer Cent-Zahlen)            T 34

 

                             mitteltönig

 

Verteilung des pK º 23.46 cent      Verteilung des pK im Quintenzirkel

 

 f   - 4.8875   c                        - 5/24pK  .  - 5/24pK

 b   - 3.9100   f                            .           .

 es  - 3.9100   b                   - 1/6pK        c       - 5/24pK

gis  +24.4375(!)es                           f          g

cis  - 2.9325  gis                       .                  .

fis  - 3.9100  cis                         b              d

 h   - 3.9100  fis              - 1/6pK                      - 5/24pK

 e   - 4.8875   h                       . es───────┼────────a .

 a   - 4.8875   e                                 

 d   - 4.8875   a              +25/24pK    gis            e  - 5/24pK

 g   - 4.8875   d                        .                  .

 c   - 4.8875   g                            cis        h

==================                 - 1/8pK        fis        - 5/24pK

    - 23.460                                 .           .

                                                   .

                                          - 1/6pK    -1/6pK

 

 

Quinten

 

Quarten

 

Großterzen

 

Kleinterzen

 

f

697.0675

c

502.9325

f

388.2700

a

308.7975

c

b

698.0450

f

501.9550

b

389.2475

d

308.7975

f

dis

698.0450

b

501.9550

dis

390.2250

g

307.8200

b

gis

726.3925

dis

473.6075

gis

419.5500

c

306.8425

dis

cis

699.0225

gis

500.9775

cis

421.5050

f

277.5175

gis

fis

698.0450

cis

501.9550

fis

421.5050

b

276.5400

cis

h

698.0450

fis

501.9550

h

421.5050

dis

276.5400

fis

e

697.0675

h

502.9325

e

392.1800

gis

304.8875

h

a

697.0675

e

502.9325

a

390.2250

cis

306.8425

e

d

697.0675

a

502.9325

d

389.2475

fis

307.8200

a

g

697.0675

d

502.9325

g

388.2700

h

308.7975

d

c

697.0675

g

502.9325

c

388.2700

e

308.7975

g

Intervall-bezeichnung

Quotient

Dezimal-zahl

Centwert

des

Intervalls

Frequenzbeispiele

(Zahlen in Hz)

 

 

 

 

 

 

 

 

Oktave

2/1

2.0

1200.0000

c

526.0

>440.0<

a

gr.Septime

212x24Ö219/37xÖ3

1.8718281

1085.3375

h

492.2

411.8

gis

kl.Septime

9xÖ3/8x8Ö2

1.7868348

1004.8875

b

469.9

393.1

g

gr.Sexte

27x8Ö27/81xÖ3

1.7868348

891.2025

a

>440.0<

368.1

fis

kl.Sexte

216xÖ2/310

1.5695761

780.4500

gis

412.7

345.3

f

Quinte

4x24Ö223/3xÖ3

1.4957713

697.0675

g

393.3

329.1

e

Tritonus

2133x24Ö223/38xÖ3

1.4007040

583.3825

fis

368.3

308.2

dis

Quarte

512x6Ö25/729

1.3371028

502.9325

f

351.6

294.2

d

gr.Terz

512x6Ö25/729

1.2514133

388.2700

e

329.1

275.3

cis

kl.Terz

27xÖ3/32x24Ö27

1.1939166

306.8425

dis

313.9

262.7

c

Ganzton

16x12Ö211/27

1.1186659

194.1350

d

294.2

246.1

h

Halbton

215x8Ö2/39xÖ3

1.0481580

81.4275

cis

275.6

230.6

b

Grundton

1/1

1.0

0.000

C

263.0

220.0

a

 

Abweichungen der Tonstufen bei Modulationen (Zahlen in Cent)
in der Tabelle zur Graphik „Profil“: