Quelle:
Lange, Seite 494 (Angaben genauer Cent-Zahlen) T 23
Sechsteilung des pythagoreischen
Kommas – Th. Young
Verteilung
des pK º 23.46 cent Verteilung
des pK im Quintenzirkel
f
------ c 3/2 . - 1/6pK
b ------
f
. .
es ------ b 3/2 c - 1/6pK
as
------ es f │ g
des ------ as .
│ .
fis ------ des b
│
d
h - 3.910
fis 3/2 │ - 1/6pK
e - 3.910
h . es───────┼────────a .
a - 3.910
e
│
d - 3.910
a 3/2 as
│
e - 1/6pK
g
- 3.910 d . │ .
c -
3.910 g des
│ h
================== 3/2 fis - 1/6pK
- 23.460 . .
.
3/2 - 1/6pK
|
|
Quinten |
|
Quarten |
|
Großterzen |
|
Kleinterzen |
|
|||||
|
f |
701.955 |
c |
498.045 |
f |
396.090 |
a |
305.865 |
c |
|||||
|
b |
701.955 |
f |
498.045 |
b |
400.000 |
d |
301.955 |
f |
|||||
|
dis |
701.955 |
b |
498.045 |
dis |
403.910 |
g |
298.045 |
b |
|||||
|
gis |
701.955 |
dis |
498.045 |
gis |
407.820 |
c |
294.135 |
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 |
698.045 |
fis |
501.955 |
h |
403.910 |
dis |
294.135 |
fis |
|||||
|
e |
698.045 |
h |
501.955 |
e |
400.000 |
gis |
298.045 |
h |
|||||
|
a |
698.045 |
e |
501.955 |
a |
396.090 |
cis |
301.955 |
e |
|||||
|
d |
698.045 |
a |
501.955 |
d |
392.180 |
fis |
305.865 |
a |
|||||
|
g |
698.045 |
d |
501.955 |
g |
392.180 |
h |
305.865 |
d |
|||||
|
c |
698.045 |
g |
501.955 |
c |
392.180 |
e |
305.865 |
g |
|||||
|
Intervall-bezeichnung |
Quotient |
Dezimal-zahl |
Centwert des Intervalls |
Frequenzbeispiele (Zahlen in Hz) |
|||||||||
|
|
|
|
|
|
|
|
|
||||||
|
Oktave |
2/1 |
2.0 |
1200.000 |
c |
525.0 |
>440.0< |
a |
||||||
|
gr.Septime |
256x6Ö32/243 |
1.8771201 |
1090.225 |
h |
492.7 |
413.0 |
gis |
||||||
|
kl.Septime |
16/9 |
1.7777778 |
996.090 |
b |
466.7 |
391.1 |
g |
||||||
|
gr.Sexte |
32xÖ2/27 |
1.6761050 |
894.135 |
a |
>440.0< |
368.7 |
fis |
||||||
|
kl.Sexte |
128/81 |
1.5802469 |
792.180 |
gis |
414.8 |
347.7 |
f |
||||||
|
Quinte |
4x6Ö2/3 |
1.4966161 |
698.045 |
g |
392.9 |
329.3 |
e |
||||||
|
Tritonus |
1024/729 |
1.4046639 |
588.270 |
fis |
368.7 |
309.0 |
dis |
||||||
|
Quarte |
4/3 |
1.3333333 |
498.045 |
f |
350.0 |
293.3 |
d |
||||||
|
gr.Terz |
64x3Ö4/81 |
1.2542428 |
392.180 |
e |
329.2 |
275.9 |
cis |
||||||
|
kl.Terz |
32/27 |
1.1851852 |
294.135 |
dis |
311.1 |
260.7 |
c |
||||||
|
Ganzton |
8x3Ö2/9 |
1.1199299 |
196.090 |
d |
294.0 |
246.4 |
h |
||||||
|
Halbton |
256/243 |
1.0534979 |
90.225 |
cis |
276.6 |
231.8 |
b |
||||||
|
Grundton |
1/1 |
1.0 |
0.000 |
C |
262.4 |
220.0 |
a |
||||||
Abweichungen der
Tonstufen bei Modulationen (Zahlen in Cent)
in der Tabelle zur Graphik „Profil“:
