Quelle:
RATTE, Seite 413 (Angabe genauer Cent-Zahlen) T 51
Johann Caspar Trost,
1677
Verteilung
des pK º 23.46 cent Verteilung
des pK im Quintenzirkel
f
- 5.37625 c -11/48pK .
-11/48pK
b - 5.37625
f
. .
es + 8.30875(!) b -11/48pK c + 17/48pK
gis +
1.46625(!) es
f │ g
cis - 5.37625
gis . │ .
fis - 5.37625
cis b │ d
h + 8.30875(!)fis + 17/48pK
│
-11/48pK
e -12.21875
h . es───────┼────────a
.
a - 5.37625
e
│
d - 5.37625
a + 3/48pK gis
│
e -11/48pK
g + 8.30875(!) d .
│
.
c - 5.37625
g
cis │ h
================== -11/48pK
fis -25/48pK
-
23.46000
. .
.
-11/48pK + 17/48pK
|
|
Quinten |
|
Quarten |
|
Großterzen |
|
Kleinterzen |
|
|||||
|
f |
696.57875 |
c |
503.42125 |
f |
400.0000 |
a |
296.57875 |
c |
|||||
|
b |
696.57875 |
f |
503.42125 |
b |
400.0000 |
d |
296.57875 |
f |
|||||
|
dis |
710.26375 |
b |
489.73625 |
dis |
400.0000 |
g |
310.26375 |
b |
|||||
|
gis |
703.42125 |
dis |
496.57875 |
gis |
406.8425 |
c |
296.57875 |
dis |
|||||
|
cis |
696.57875 |
gis |
503.42125 |
cis |
406.8425 |
f |
289.73625 |
gis |
|||||
|
fis |
696.57875 |
cis |
503.42125 |
fis |
406.8425 |
b |
289.73625 |
cis |
|||||
|
h |
710.26375 |
fis |
489.73625 |
h |
406.8425 |
dis |
303.42125 |
fis |
|||||
|
e |
689.73625 |
h |
510.26375 |
e |
393.1575 |
gis |
296.57875 |
h |
|||||
|
a |
696.57875 |
e |
503.42125 |
a |
393.1575 |
cis |
303.42125 |
e |
|||||
|
d |
696.57875 |
a |
503.42125 |
d |
393.1575 |
fis |
303.42125 |
a |
|||||
|
g |
710.26375 |
d |
489.73625 |
g |
393.1575 |
h |
317.10615 |
d |
|||||
|
c |
696.57875 |
g |
503.42125 |
c |
400.0000 |
e |
296.57875 |
g |
|||||
|
Intervall-bezeichnung |
Quotient |
Dezimal-zahl |
Centwert des Intervalls |
Frequenzbeispiele (Zahlen in Hz) |
|||||||||
|
|
|
|
|
|
|
|
|
||||||
|
Oktave |
2/1 |
2.0 |
1200.0000 |
c |
522.2 |
>440.0< |
a |
||||||
|
gr.Septime |
29x48Ö211/35x4Ö3 |
1.8765901 |
1089.7363 |
h |
490.0 |
412.8 |
gis |
||||||
|
kl.Septime |
27xÖ3/16x24Ö217 |
1.7888537 |
1006.8425 |
b |
467.1 |
393.5 |
g |
||||||
|
gr.Sexte |
3x4Ö27/4x48Ö2 |
1.6851197 |
903.4212 |
a |
>440.0< |
370.7 |
fis |
||||||
|
kl.Sexte |
64x24Ö32/27xÖ3 |
1.5811394 |
793.1575 |
gis |
412.8 |
347.8 |
f |
||||||
|
Quinte |
8x48Ö217/3x4Ö27 |
1.4953491 |
696.5787 |
g |
390.4 |
329.0 |
e |
||||||
|
Tritonus |
Ö2 |
1.4142136 |
600.0000 |
fis |
369.3 |
311.1 |
dis |
||||||
|
Quarte |
3x4Ö27/4x48Ö217 |
1.3374804 |
503.4215 |
f |
349.2 |
294.2 |
d |
||||||
|
gr.Terz |
3Ö2 |
1.2599211 |
400.0000 |
e |
329.0 |
277.2 |
cis |
||||||
|
kl.Terz |
8x48Ö2/3x4Ö27 |
1.1868593 |
296.5787 |
dis |
309.9 |
261.1 |
c |
||||||
|
Ganzton |
27xÖ3/32x8Ö8 |
1.1269072 |
206.8425 |
d |
294.2 |
247.9 |
h |
||||||
|
Halbton |
4x48Ö241/3x4Ö27 |
1.0573715 |
96.5787 |
cis |
276.1 |
232.6 |
b |
||||||
|
Grundton |
1/1 |
1.0 |
0.0000 |
C |
261.1 |
220.0 |
a |
||||||
Abweichungen der
Tonstufen bei Modulationen (Zahlen in Cent)
in der Tabelle zur Graphik „Profil“:
