Quelle:
MEISTER, Seite 120 (Angabe Zehntel-Centzahlen) T 70
Vierteilung des
syntonischen Kommas
Verteilung
des pK º 23.46 cent Verteilung
des pK im Quintenzirkel
f
------- c 3/2 . -
1/4sK
b -------
f
. .
es ------- b 3/2 c - 1/4sK
as
------- es f │ g
des + 4.3995 as .
│
.
fis + 4.3995 des b
│
d
h - 5.3765
fis 3/2 │ - 1/4sK
e - 5.3765
h . es───────┼────────a .
a - 5.3765
e
│
d - 5.3765
a 3/2 as
│
e - 1/4sK
g
- 5.3765 d . │ .
c -
5.3765 g des
│ h
================== + (3/4sK - 1/2pK)
fis - 1/4sK
-
23.460
. .
.
+ (3/4sK - 1/2pK) - 1/4sK
|
|
Quinten |
|
Quarten |
|
Großterzen |
|
Kleinterzen |
|
|||||
|
f |
701.9550 |
c |
498.0450 |
f |
391.6905 |
a |
310.2645 |
c |
|||||
|
b |
701.9550 |
f |
498.0450 |
b |
397.0670 |
d |
304.8880 |
f |
|||||
|
es |
701.9550 |
b |
498.0450 |
es |
402.4435 |
g |
299.5115 |
b |
|||||
|
gis |
701.9550 |
es |
498.0450 |
gis |
407.8200 |
c |
294.1350 |
es |
|||||
|
cis |
706.3545 |
gis |
493.6455 |
cis |
412.2195 |
f |
294.1350 |
gis |
|||||
|
fis |
706.3545 |
cis |
493.6455 |
fis |
416.6190 |
b |
289.7355 |
cis |
|||||
|
h |
696.5785 |
fis |
503.4215 |
h |
411.2425 |
es |
285.3360 |
fis |
|||||
|
e |
696.5785 |
h |
503.4215 |
e |
405.9660 |
gis |
290.7125 |
h |
|||||
|
a |
696.5785 |
e |
503.4215 |
a |
396.0900 |
cis |
300.4885 |
e |
|||||
|
d |
696.5785 |
a |
503.4215 |
d |
386.3140 |
fis |
310.2645 |
a |
|||||
|
g |
696.5785 |
d |
503.4215 |
g |
386.3140 |
h |
310.2645 |
d |
|||||
|
c |
696.5785 |
g |
503.4215 |
c |
386.3140 |
e |
310.2645 |
g |
|||||
|
Intervall-bezeichnung |
Quotient |
Dezimal-zahl |
Centwert des Intervalls |
Frequenzbeispiele (Zahlen in Hz) |
|||||||||
|
|
|
|
|
|
|
|
|
||||||
|
Oktave |
2/1 |
2.0 |
1200.0000 |
c |
526.4 |
>440.0< |
a |
||||||
|
gr.Septime |
4Ö55/4 |
1.8691860 |
1082.8925 |
h |
492.0 |
411.2 |
gis |
||||||
|
kl.Septime |
16/9 |
1.7777778 |
996.0900 |
b |
467.9 |
391.1 |
g |
||||||
|
gr.Sexte |
4Ö53/2 |
1.6718508 |
889.7355 |
a |
>440.0< |
367.8 |
fis |
||||||
|
kl.Sexte |
128/81 |
1.5802469 |
792.1800 |
gis |
415.9 |
347.7 |
f |
||||||
|
Quinte |
4Ö5 |
1.4953488 |
696.5785 |
g |
393.6 |
329.0 |
e |
||||||
|
Tritonus |
Ö53/8 |
1.3975425 |
579.4710 |
fis |
367.8 |
307.5 |
es |
||||||
|
Quarte |
4/3 |
1.3333333 |
498.0450 |
f |
350.9 |
293.3 |
d |
||||||
|
gr.Terz |
5/4 |
1.25 |
386.3140 |
e |
329.0 |
275.0 |
cis |
||||||
|
kl.Terz |
32/27 |
1.1851852 |
294.1350 |
es |
311.9 |
260.7 |
c |
||||||
|
Ganzton |
Ö5/2 |
1.1180340 |
193.1570 |
d |
294.3 |
246.0 |
h |
||||||
|
Halbton |
2xÖ2x4Ö53/9 |
1.0508241 |
85.8255 |
cis |
276.6 |
231.2 |
b |
||||||
|
Grundton |
1/1 |
1.0 |
0.0000 |
C |
263.2 |
220.0 |
a |
||||||
Abweichungen der
Tonstufen bei Modulationen (Zahlen in Cent)
in der Tabelle zur Graphik „Profil“:
