Quelle:
LANGE, Seite 493 (Angabe Quotienten) T 30
Alexander Malcolm,
ca. 1721
Verteilung
des pK ≡ 23.46 cent Verteilung des pK im Quintenzirkel
f
------ c 3/2 .
3/2
b +
6.776 f . .
es - 10.154 b + 256/255
c 3/2
as
------ es f │ g
cis - 11.352
as . │ .
fis ------ cis b
│
d
h + 12.776(!)fis - 171/170
│
- sK
e ------
h . es───────┼────────a .
a ------
e
│
d - 21.506
a 3/2 as │ e
3/2
g ------
d . │ .
c ------
g
cis │ h
================== - 153/152
fis 3/2
- 23.460 .
.
.
3/2 + 136/135
|
Quinten |
|
Quarten |
|
Großterzen |
|
Kleinterzen |
|
|||||
f |
701.955 |
c |
498.045 |
f |
386.314 |
a |
315.641 |
c |
|||||
b |
708.731 |
f |
491.269 |
b |
414.596 |
d |
294.135 |
f |
|||||
es |
691.801 |
b |
508.199 |
es |
404.442 |
g |
287.359 |
b |
|||||
gis |
701.955 |
es |
498.045 |
gis |
404.442 |
c |
297.513 |
es |
|||||
cis |
690.603 |
gis |
509.397 |
cis |
393.090 |
f |
297.513 |
gis |
|||||
fis |
701.955 |
cis |
498.045 |
fis |
386.314 |
b |
315.681 |
cis |
|||||
h |
714.731 |
fis |
485.269 |
h |
409.244 |
es |
305.487 |
fis |
|||||
e |
701.955 |
h |
498.045 |
e |
409.244 |
gis |
292.711 |
h |
|||||
a |
701.955 |
e |
498.045 |
a |
420.596 |
cis |
281.359 |
e |
|||||
d |
680.449 |
a |
519.551 |
d |
393.090 |
fis |
281.359 |
a |
|||||
g |
701.955 |
d |
498.045 |
g |
386.314 |
h |
315.641 |
d |
|||||
c |
701.955 |
g |
498.045 |
c |
386.314 |
e |
315.641 |
g |
|||||
Intervall-bezeichnung |
Quotient |
Dezimal-zahl |
Centwert des Intervalls |
Frequenzbeispiele (Zahlen in Hz) |
|||||||||
|
|
|
|
|
|
|
|
||||||
Oktave |
2/1 |
2.0 |
1200.000 |
c |
528.0 |
>440.0< |
a |
||||||
gr.Septime |
15/8. |
1.875 |
1088.269 |
h |
495.0 |
412.5 |
gis |
||||||
kl.Septime |
85/48 |
1.7708333 |
989.314 |
b |
467.5 |
389.6 |
g |
||||||
gr.Sexte |
5/3 |
1.6666667 |
884.359 |
a |
>440.0< |
366.7 |
fis |
||||||
kl.Sexte |
19/12 |
1.5833333 |
795.558 |
gis |
418.0 |
348.3 |
f |
||||||
Quinte |
3/2 |
1.5 |
701.955 |
g |
396.0 |
330.0 |
e |
||||||
Tritonus |
17/12 |
1.4166667 |
603.000 |
fis |
374.0 |
311.7 |
es |
||||||
Quarte |
4/3 |
1.3333333 |
498.045 |
f |
352.0 |
293.3 |
d |
||||||
gr.Terz |
5/4 |
1.25 |
386.314 |
e |
330.0 |
275.0 |
cis |
||||||
kl.Terz |
19/16 |
1.1875 |
297.513 |
es |
313.5 |
261.3 |
c |
||||||
Ganzton |
9/8 |
1.125 |
203.910 |
d |
297.0 |
247.5 |
h |
||||||
Halbton |
17/16 |
1.0625 |
104.955 |
cis |
280.5 |
233.8 |
b |
||||||
Grundton |
1/1 |
1.0 |
0.000 |
C |
264.0 |
220.0 |
a |
||||||