Quelle: RATTE, Seite 268 (Angabe genauer Cent-Zahlen)            T 124

 

  Cyriacus Schneegass, 1590 (2. Methode: geometrische Approximation)

 

Verteilung des pK 23.46 cent      Verteilung des pK im Quintenzirkel    

                                                                          

 f    - 5.402   c                      - 321/320  .  - 321/320           

 b    - 5.402   f      A =                  .           .                

 es   - 5.402   b     31291     - 321/320         c        - 321/320      

gis  + 32.829(!)es    31250                 f           g                

cis   - 5.402  gis                      .                   .            

fis   - 5.402  cis                         b              d              

 h    - 5.402  fis            - 321/320                       - 321/320  

 e    - 5.402   h                      . es       +        a .           

 a  ! - 2.269!  e      B =                                               

 d    - 5.402   a     7879         + B    gis             e    - A       

 g    - 5.402   d     7731              .                   .            

 c    - 5.402   g                           cis         h                

==================             - 321/320         fis         - 321/320   

    - 23.460                                 .           .               

                                                  .                      

                                       - 321/320     - 321/320           

 

 

Quinten

 

Quarten

 

Großterzen

 

Kleinterzen

 

f

696.553

c

503.447

f

386.212

a

310.341

c

b

696.553

f

503.447

b

386.212

d

310.341

f

es

696.553

b

503.447

es

386.212

g

310.341

b

gis

734.784

es

465.216

gis

424.443

c

310.341

es

cis

696.553

gis

503.447

cis

424.443

f

272.110

gis

fis

696.553

cis

503.447

fis

424.443

b

272.110

cis

h

696.553

fis

503.447

h

424.443

es

272.110

fis

e

696.553

h

503.447

e

386.212

gis

310.341

h

a

! 699.686 !

e

! 500.314 !

a

389.345

cis

310.341

e

d

696.553

a

503.447

d

389.345

fis

307.208

a

g

696.553

d

503.447

g

389.345

h

307.208

d

c

696.553

g

503.447

c

389.345

e

307.208

g

Intervall-bezeichnung

Quotient

Dezimal-zahl

Centwert

des

Intervalls

Frequenzbeispiele

(Zahlen in Hz)

 

 

 

 

 

 

 

 

Oktave

2/1

2.0

1200.000

c

526.4

>440.0<

a

gr.Septime

3x1604x56/4x1074x377x83

1.8724342

1085.898

h

492.8

411.9

gis

kl.Septime

4x1072/1602

1.7889063

1006.894

b

470.8

393.6

g

gr.Sexte

1603/2x1073

1.6717781

889.659

a

>440.0<

367.8

fis

kl.Sexte

3x1607x56/16x1077x377x83

1.5651463

775.557

gis

411.9

344.3

f

Quinte

160/107

1.4953271

696.553

g

393.6

329.0

e

Tritonus

3x1605x56/8x1075x377x83

1.3999505

582.451

fis

368.5

308.0

es

Quarte

2x107/160

1.3375

503.447

f

352.0

294.3

d

gr.Terz

3x1603x56/4x1073x377x83

1.2521906

389.345

e

329.6

275.5

cis

kl.Terz

4x1073/1603

1.1963311

310.341

es

314.9

263.2

c

Ganzton

1602/2x1072

1.1180016

193.106

d

294.3

246.0

h

Halbton

3x1606x56/16x1076x377x83

1.0466918

79.004

cis

275.5

230.3

b

Grundton

1/1

1.0

0.000

C

263.2

220.0

a

 

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