Quelle:
RATTE, Seite 270 (Angabe genauer Cent-Zahlen) T 125
Cyriacus Schneegass, 1590 (3.Methode:
numerische Approximation)
Verteilung
des pK ≡ 23.46 cent Verteilung des pK im Quintenzirkel
(genähert)
f -
2.862 c - 1/9 sK
. - 5/18 sK
b - 6.506
f
. .
es
- 4.605 b - 1/3 sK c - 1/6 sK
gis +
30.815 es f
│ g
cis - 7.399 gis .
│
.
fis - 2.399 cis b
│
d
h - 6.212
fis - 2/9 sK │ -5/18sK
e - 4.825
h . es───────┼────────a
.
a - 3.403
e
│
d - 6.226
a + 5/2 sK - pK gis
│
e - 1/6sK
g - 3.843
d . │ .
c - 5.995
g
cis │ h
================== - 1/3 sK
fis - 2/9 sK
-
23.460
. .
.
- 1/9 sK - 5/18 sK
|
|
Quinten |
|
Quarten |
|
Großterzen |
|
Kleinterzen |
|
|||||
|
f |
699.093 |
c |
500.907 |
f |
388.894 |
a |
310.199 |
c |
|||||
|
b |
695.449 |
f |
504.551 |
b |
388.614 |
d |
306.835 |
f |
|||||
|
es |
697.350 |
b |
502.650 |
es |
387.852 |
g |
309.498 |
b |
|||||
|
gis |
732.770 |
es |
467.230 |
gis |
424.662 |
c |
308.108 |
es |
|||||
|
cis |
694.556 |
gis |
505.444 |
cis |
420.125 |
f |
274.432 |
gis |
|||||
|
fis |
699.556 |
cis |
500.444 |
fis |
424.232 |
b |
275.324 |
cis |
|||||
|
h |
695.743 |
fis |
504.257 |
h |
422.625 |
es |
273.118 |
fis |
|||||
|
e |
697.130 |
h |
502.870 |
e |
386.985 |
gis |
310.145 |
h |
|||||
|
a |
698.552 |
e |
501.448 |
a |
390.981 |
cis |
307.571 |
e |
|||||
|
d |
695.729 |
a |
504.271 |
d |
387.154 |
fis |
308.575 |
a |
|||||
|
g |
698.112 |
d |
501.888 |
g |
389.523 |
h |
308.589 |
d |
|||||
|
c |
695.960 |
g |
504.040 |
c |
388.353 |
e |
307.607 |
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 |
5x9Ö35x9Ö5/4x9Ö32 |
1.8719854 |
1085.482 |
h |
492.7 |
411.8 |
Gis |
||||||
|
kl.Septime |
4x9Ö4/9Ö9x9Ö54 |
1.7874237 |
1005.457 |
b |
470.4 |
393.2 |
G |
||||||
|
gr.Sexte |
18Ö513x9Ö3/2x9Ö2 |
1.6719142 |
889.800 |
a |
>440.0< |
367.8 |
Fis |
||||||
|
kl.Sexte |
5x6Ö55x3Ö9/16x3Ö4 |
1.5649483 |
775.336 |
gis |
411.8 |
344.3 |
F |
||||||
|
Quinte |
9Ö2x18Ö55/9Ö3 |
1.4948147 |
695.960 |
g |
393.4 |
328.9 |
E |
||||||
|
Tritonus |
5x9Ö81x18Ö57/8x9Ö16 |
1.3989603 |
581.225 |
fis |
368.2 |
307.8 |
Es |
||||||
|
Quarte |
2x9Ö32/9Ö5x9Ö35 |
1.3355394 |
500.907 |
f |
351.5 |
293.8 |
D |
||||||
|
gr.Terz |
9Ö58x9Ö81/4x9Ö16 |
1.2514733 |
388.352 |
e |
329.4 |
275.3 |
Cis |
||||||
|
kl.Terz |
4x3Ö2/3Ö75 |
1.1947897 |
308.107 |
es |
314.4 |
262.9 |
C |
||||||
|
Ganzton |
9Ö9x9Ö54/2x9Ö4 |
1.1186251 |
194.072 |
d |
294.4 |
246.1 |
H |
||||||
|
Halbton |
15xÖ5/32 |
1.0477673 |
80.781 |
cis |
275.7 |
230.5 |
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“:
