Quelle:
RATTE, Seite 257 (Angabe genauer Cent-Zahlen) T 120
Johannes von Lublin, 1540
(Interpretation)
Verteilung
des pK ≡ 23.46 cent Verteilung des pK im Quintenzirkel
(* Näherungswerte)
f -
6.955 c - 1/3 sK*
. 3/2
b
------ f . .
es
------ b 3/2 c - 1/3 sK*
gis +
11.956 es f
│
g
cis ------ gis .
│
.
fis - 21.506
cis
b │ d
h ------
fis 3/2 │ 3/2
e ------
h . es───────┼────────a .
a ------
e
│
d ------
a + (5/3sK – pK)* gis
│
e 3/2
g - 6.955
d . │ .
c ------
g
cis │ h
================== 3/2
fis 3/2
- 23.460 . .
.
- sK 3/2
|
Quinten |
|
Quarten |
|
Großterzen |
|
Kleinterzen |
|
|||||
f |
695.000 |
c |
505.000 |
f |
393.910 |
a |
301.090 |
c |
|||||
b |
701.955 |
f |
498.045 |
b |
393.910 |
d |
308.045 |
f |
|||||
es |
701.955 |
b |
498.045 |
es |
400.865 |
g |
301.090 |
b |
|||||
gis |
713.911 |
es |
486.089 |
gis |
412.821 |
c |
301.090 |
es |
|||||
cis |
701.955 |
gis |
498.045 |
cis |
419.776 |
f |
282.179 |
gis |
|||||
fis |
680.449 |
cis |
519.551 |
fis |
398.270 |
b |
282.179 |
cis |
|||||
h |
701.955 |
fis |
498.045 |
h |
398.270 |
es |
303.685 |
fis |
|||||
e |
701.955 |
h |
498.045 |
e |
386.314 |
gis |
315.641 |
h |
|||||
a |
701.955 |
e |
498.045 |
a |
386.314 |
cis |
315.641 |
e |
|||||
d |
701.955 |
a |
498.045 |
d |
407.820 |
fis |
294.135 |
a |
|||||
g |
695.000 |
d |
505.000 |
g |
400.865 |
h |
294.135 |
d |
|||||
c |
701.955 |
g |
498.045 |
c |
400.865 |
e |
301.090 |
g |
|||||
Intervall-bezeichnung |
Quotient |
Dezimal-zahl |
Centwert des Intervalls |
Frequenzbeispiele (Zahlen in Hz) |
|||||||||
|
|
|
|
|
|
|
|
||||||
Oktave |
2/1 |
2.0 |
1200.000 |
c |
523.6 |
>440.0< |
a |
||||||
gr.Septime |
81x249Ö2139/64 |
1.8908261 |
1102.820 |
h |
495.0 |
416.0 |
gis |
||||||
kl.Septime |
8/3x249Ö2139 |
1.7849341 |
1003.045 |
b |
467.3 |
392.7 |
g |
||||||
gr.Sexte |
9x249Ö2139/8 |
1.6807343 |
898.910 |
a |
>440.0< |
369.8 |
fis |
||||||
kl.Sexte |
135x249Ö2139/128 |
1.5756887 |
787.179 |
gis |
412.5 |
346.7 |
f |
||||||
Quinte |
3/2 |
1.5 |
701.955 |
g |
392.7 |
330.0 |
e |
||||||
Tritonus |
243x249Ö2139/256 |
1.4181196 |
604.775 |
fis |
371.3 |
312.0 |
es |
||||||
Quarte |
2/249Ö2139 |
1.3387006 |
505.000 |
f |
350.5 |
294.5 |
d |
||||||
gr.Terz |
27x249Ö2139/32 |
1.2605507 |
400.865 |
e |
330.0 |
277.3 |
cis |
||||||
kl.Terz |
16/9x249Ö2139 |
1.1899561 |
301.090 |
es |
311.5 |
261.8 |
c |
||||||
Ganzton |
3x249Ö2139/4 |
1.1204895 |
196.955 |
d |
293.3 |
246.5 |
h |
||||||
Halbton |
45x249Ö2139/64 |
|
85.224 |
cis |
275.0 |
231.1 |
b |
||||||
Grundton |
1/1 |
1.0 |
0.000 |
C |
261.8 |
220.0 |
a |
||||||