Autor: RATTE, Seite 163 (Angabe genauer Cent-Zahlen)             T 109

 

                     3/10 - Komma - Temperatur

 

Verteilung des pK 23.46 cent      Verteilung des pK im Quintenzirkel

 

 f   - 6.452    c                        -3/10sK   .  -3/10sK

 b   - 6.452    f                            .           .

 es  - 6.452    b                 -3/10sK          c        -3/10sK

gis + 47.512    es                           f          g

cis  - 6.452   gis                       .                  .

fis  - 6.452   cis                         b              d

 h   - 6.452   fis              -3/10sK                       -3/10sK

 e   - 6.452    h                       . es───────┼────────a .

 a   - 6.452    e                                 

 d   - 6.452    a        + 33/10sK - pK    gis            e   -3/10sK

 g   - 6.452    d                        .                  .

 c   - 6.452    g                            cis        h

==================                -3/10sK         fis        -3/10sK

    - 23.460                                 .           .

                                                   .

                                         -3/10sK      -3/10sK

 

 

Quinten

 

Quarten

 

Großterzen

 

Kleinterzen

 

f

695.503

c

504.497

f

382.012

a

313.491

c

b

695.503

f

504.497

b

382.012

d

313.491

f

es

695.503

b

504.497

es

382.012

g

313.491

b

gis

749.467

es

450.533

gis

435.976

c

313.491

es

cis

695.503

gis

504.497

cis

435.976

f

259.527

gis

fis

695.503

cis

504.497

fis

435.976

b

259.527

cis

h

695.503

fis

504.497

h

435.976

es

259.527

fis

e

695.503

h

504.497

e

382.012

gis

313.491

h

a

695.503

e

504.497

a

382.012

cis

313.491

e

d

695.503

a

504.497

d

382.012

fis

313.491

a

g

695.503

d

504.497

g

382.012

h

313.491

d

c

695.503

g

504.497

c

382.012

e

313.491

g

Intervall-bezeichnung

Quotient

Dezimal-zahl

Centwert

des

Intervalls

Frequenzbeispiele

(Zahlen in Hz)

 

 

 

 

 

 

 

 

Oktave

2/1

2.0

1200.000

c

527.4

>440.0<

a

gr.Septime

5xÖ5/6

1.8633894

1077.515

h

491.4

409.9

gis

kl.Septime

2x5Ö72/5Ö125

1.7910782

1008.994

b

472.3

394.0

g

gr.Sexte

5/527x105x54

1.6687380

886.509

a

>440.0<

367.1

fis

kl.Sexte

52x5Ö52/12x5Ö4x5Ö33

1.5547544

764.024

gis

410.0

342.0

f

Quinte

10Ö500/10Ö9

1.4944202

695.503

g

394.1

328.8

e

Tritonus

5x5Ö54/6x5Ö24 x5Ö3

1.3923433

573.018

fis

367.2

306.3

es

Quarte

2x5Ö3/10Ö500

1.3383117

504.497

f

352.9

294.4

d

gr.Terz

5x5Ö5/2x5Ö162

1.2468979

382.012

e

328.8

274.3

cis

kl.Terz

2x5Ö27x10Ö5x5Ö4/5

1.1985105

313.491

es

316.0

263.8

c

Ganzton

5Ö125/5Ö72

1.1166458

191.006

d

294.5

245.7

h

Halbton

25x10Ö5/12x5Ö8x5Ö9

1.0403730

68.521

cis

274.3

228.9

b

Grundton

1/1

1.0

0.000

C

263.7

220.0

a

 

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