Quelle:
SCHUGK, Seite 150 (Angabe der Dezimalzahlen) T 43
Lambert, 1774
Verteilung
des pK º 23.46 cent Verteilung
des pK im Quintenzirkel
f
- 3.351 c -1/7pK . -1/7pK
b ------ f . .
es
------ b 3/2 c -1/7pK
gis ------
es
f │ g
cis ------ gis .
│
.
fis ------ cis
b │ d
h - 3.351
fis 3/2 │ -1/7pK
e - 3.352*
h . es───────┼────────a .
a - 3.351
e
│
d - 3.352*
a 3/2
gis │ e -1/7pK
g - 3.351
d . │ .
c - 3.352*
g
cis │ h
================== 3/2 fis -1/7pK
- 23.460 . .
.
*(wegen Rundung) 3/2
-1/7pK
|
|
Quinten |
|
Quarten |
|
Großterzen |
|
Kleinterzen |
|
|||||
|
f |
698.604 |
c |
501.396 |
f |
394.414 |
a |
304.190 |
c |
|||||
|
b |
701.955 |
f |
498.045 |
b |
397.766 |
d |
304.189 |
f |
|||||
|
dis |
701.955 |
b |
498.045 |
dis |
401.117 |
g |
300.838 |
b |
|||||
|
gis |
701.955 |
dis |
498.045 |
gis |
404.469 |
c |
297.486 |
dis |
|||||
|
cis |
701.955 |
gis |
498.045 |
cis |
407.820 |
f |
294.135 |
gis |
|||||
|
fis |
701.955 |
cis |
498.045 |
fis |
407.820 |
b |
294.135 |
cis |
|||||
|
h |
698.604 |
fis |
501.396 |
h |
404.469 |
dis |
294.135 |
fis |
|||||
|
e |
698.603 |
h |
501.397 |
e |
401.117 |
gis |
297.486 |
h |
|||||
|
a |
698.604 |
e |
501.396 |
a |
397.766 |
cis |
300.838 |
e |
|||||
|
d |
698.603 |
a |
501.397 |
d |
394.414 |
fis |
304.189 |
a |
|||||
|
g |
698.604 |
d |
501.396 |
g |
394.414 |
h |
304.190 |
d |
|||||
|
c |
698.603 |
g |
501.397 |
c |
394.414 |
e |
304.189 |
g |
|||||
|
Intervall-bezeichnung |
Quotient |
Dezimal-zahl |
Centwert des Intervalls |
Frequenzbeispiele (Zahlen in Hz) |
|||||||||
|
|
|
|
|
|
|
|
|
||||||
|
Oktave |
2/1 |
2.0 |
1200.000 |
c |
524.6 |
>440.0< |
a |
||||||
|
gr.Septime |
64x7Ö16/27x7Ö81 |
1.8801497 |
1093.017 |
h |
493.1 |
413.6 |
gis |
||||||
|
kl.Septime |
2x7Ö4/7Ö9 |
1.7812222 |
999.441 |
b |
467.1 |
391.9 |
g |
||||||
|
gr.Sexte |
16x7Ö2/9x7Ö3 |
1.6777264 |
895.810 |
a |
>440.0< |
369.1 |
fis |
||||||
|
kl.Sexte |
16x7Ö4/9x7Ö9 |
1.5833084 |
795.531 |
gis |
415.2 |
348.3 |
f |
||||||
|
Quinte |
2x7Ö32/7Ö243 |
1.4970994 |
698.603 |
g |
392.6 |
329.4 |
e |
||||||
|
Tritonus |
128x7Ö4/81x7Ö9 |
1.4073855 |
591.621 |
fis |
369.1 |
309.6 |
dis |
||||||
|
Quarte |
7Ö243/7Ö32 |
1.3359167 |
501.396 |
f |
350.4 |
293.9 |
d |
||||||
|
gr.Terz |
16x7Ö64/9x7Ö729 |
1.2558616 |
394.414 |
e |
329.4 |
276.3 |
cis |
||||||
|
kl.Terz |
4x7Ö4/3x7Ö9 |
1.1874815 |
297.486 |
dis |
311.4 |
261.2 |
c |
||||||
|
Ganzton |
4x7Ö8/3x7Ö27 |
1.1206514 |
197.207 |
d |
293.9 |
246.5 |
h |
||||||
|
Halbton |
32x7Ö4/27x7Ö9 |
1.0555391 |
93.576 |
cis |
276.8 |
232.2 |
b |
||||||
|
Grundton |
1/1 |
1.0 |
0.000 |
C |
262.3 |
220.0 |
a |
||||||
Abweichungen der
Tonstufen bei Modulationen (Zahlen in Cent)
in der Tabelle zur Graphik „Profil“:
