Hi!
Yesterday I made a few measures with the Open Sound Meter software to check what types of filters uses the Digitakt MKI, and also in witch Digitakt values are synchronized with each frequency. After measuring, we can observe some conclusions:
- I realized the Lo pass filter and Hi pass filter have diferent slopes (contrary to what the manual specifies, that is both filters are 2-pole; what means they have -12dB of attenuation by octave).
While the Lo pass filter has 2-pole slope (filter LR-12), the Hi pass filter has another one (BUT-6). Lo Pass filter (2-pole / LR-12) has an attenuation of -6dB in the cut-off frequency (1kHZ / 80’77 on Digitakt) as we can see in the following graph:
Red trace: measure on the Digitakt (with +1dB offset for better comparasion)
Blue trace: LR-12 filter added to compare (both have the same slope, and attenuation on cut-off freq.)
Hi Pass filter (apparently is a BUT-6 filter) with an attenuation of -3dB in the cut-off frequency (1kHz, “91” on Digitakt):
Green trace: Hi pass filter measure on Digitakt.
Brown trace: a BUT-6 filter added to compare.
Note that the slopes aren’t exactly the same but is the filter whose slope most closely resembles Digitakt’s Hi pass filter.
-
Lo pass filter and Hi pass filter are not matched in frequency. Hi pass filter (BUT-6) with cut-off frequency in 500Hz (“80’77” on Digitakt). In this graph we can prove that if we put the same value “80’77” in the Hi pass filter (the same we put on Lo pass ) the cut-off frequency isn’t 1kHz but 500Hz. Because of the difference in the type filters, the value to frequency ratio is not the same in the Lo pass filter and Hi pass filter.
Red trace: Lo pass filter (LR-12) cut-off freq at 1kHz (80’77 on Digitakt)
Purple trace: Hi pass filter (BUT-6), cut-off freq at 500Hz (80’77 on Digitakt)
Green trace: Hi pass filter (BUT-6), cut-off freq at 1kHz (91 on Digitakt)
If the slopes and values were the same the crossover freq would be 1kHz, we can observe this doesn’t happen, so Lo pass filter and Hi pass filter doesn’t have same slope.
-
EQ1/EQ2/EQ3/EQ4/EQ5 have differents slopes and gains, but they are matched in frequency with Lo pass filter (1kHz / 80’77 on Digitakt):
EQ1: black / EQ2: blue / EQ3: green / EQ4: purple / EQ5: orange
I realized the Lo Pass filter and EQ1, EQ2, EQ3, EQ4 and EQ5 the frequency is matched at the same value (aprox 1kHz is on value “80’77”). But the Hi Pass filter doesn’t share the same value, as you can check in the measures (aprox 1kHz is on value “91” on Digitakt).
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The cut-off frequency is not match between Lo pass filter and Hi pass filter, the resonance is matched, so if you aply maximun gain at resonance parameter at same frequency value in both filters (e.g 80’77 at freq and 127 at resonance) the frequency with max amplitude is the same in both filters (low pass and hi pass). So cut-off frequency is not matched in both filters because of the diference between filters slopes but the resonance is matched in both filters. We can observe this in the next graph:
Hi pass filter comparasion “with resonance vs without resonance”:
Blue trace: Hi pass filter with cut-off frequency at 500Hz without resonance.
Dark blue trace: Hi pass filter with cut-off frequency at 500Hz, but with maxium resonance matching 1000Hz
Red trace: Hi pass filter with cut-off frequency at 1000Hz without resonance.
Dark red trace: Hi pass filter with cut-off frequency at 2000Hz, with maxium resonance at 2000Hz aprox.
We can observe when the filter is set and 1kHz and we add max resonance the peak desviates to 2kHz. When the filter is set at 500Hz and we add max resonance the peak desviates to 1kHz.
Lo pass vs Hi pass “with and without resonance” comparasion. Here we can observe when there isn’t resonance the filters doesn´t match, but when adding max resonance in both filters the frequency is matched.
Yellow trace: Lo pass filter at 1000Hz, no resonance
Dark yellow trace: Lo pass filter at 1000Hz, with max resonance
Blue trace: Hi pass filter at 500Hz, no resonance
Dark blue trace: Hi pass filter at 500Hz, with max resonance.
When adding resonance in both filters the freq with max resonance is matched. When resonance is set to “0” the cut-off freq aren’t matched.
-
Band pass filters (second layer in Digitakt’s filter menu), they are BUT-6 filters, cut-off frequency set at 1kHz (value “75” in Digitakt):
Green trace: Low pass filter measured in Digitakt, (BUT-6)
Blue trace: Hi pass filter measured in Digitakt (BUT-6)
Both filters make perfect cross-over at 1kHz at same values.
I made a table with some usefull values:
You can choose the parameter you want to match; freq cut-off or frequency at max resonance (the values only changes in HPF due to the displacement previously commented, in LPF the values remains the same):
| LPF |
|
|
HPF |
|
|
| FREQ(Hz) MATCH |
VALUE DT FREQ |
VALUE DT RES |
FREQ(Hz) MATCH |
VALUE DT FREQ |
VALUE DT RES |
| 20 |
22,41 |
22,41 |
20 |
35,28 |
22,41 |
| 40 |
31,88 |
31,88 |
40 |
45,5 |
31,88 |
| 60 |
38,15 |
38,15 |
60 |
51,68 |
38,15 |
| 80 |
42,5 |
42,5 |
80 |
56,31 |
42,5 |
| 100 |
46,24 |
46,24 |
100 |
59,4 |
46,24 |
| 200 |
56,52 |
56,52 |
200 |
69,52 |
56,52 |
| 300 |
62,78 |
62,78 |
300 |
75,33 |
62,78 |
| 400 |
67,25 |
67,25 |
400 |
79,72 |
67,25 |
| 500 |
70,6 |
70,6 |
500 |
82,65 |
70,6 |
| 600 |
73,37 |
73,37 |
600 |
85,22 |
73,37 |
| 700 |
75,8 |
75,8 |
700 |
87,35 |
75,8 |
| 800 |
77,87 |
77,87 |
800 |
89,21 |
77,87 |
| 900 |
79,67 |
79,67 |
900 |
90,5 |
79,67 |
| 1000 |
81,13 |
81,13 |
1000 |
91,85 |
81,13 |
| 2000 |
91,8 |
91,8 |
2000 |
100,3 |
91,8 |
| 3000 |
97,97 |
97,97 |
3000 |
104,41 |
97,97 |
| 4000 |
102,41 |
102,41 |
4000 |
107,08 |
102,41 |
| 5000 |
105,71 |
105,71 |
5000 |
108,89 |
105,71 |
| 6000 |
108,48 |
108,48 |
6000 |
110,26 |
108,48 |
| 7000 |
110,97 |
110,97 |
7000 |
111,2 |
110,97 |
| 8000 |
112,77 |
112,77 |
8000 |
112,06 |
112,77 |
| 9000 |
114,55 |
114,55 |
9000 |
112,58 |
114,55 |
| 10000 |
116,29 |
116,29 |
10000 |
113,02 |
116,29 |
| 12000 |
119,24 |
119,24 |
12000 |
113,81 |
119,24 |
| 14000 |
121,65 |
121,65 |
14000 |
114,26 |
121,65 |
| 16000 |
123,4 |
123,4 |
16000 |
114,54 |
123,4 |
| 18000 |
125,22 |
125,22 |
18000 |
114,73 |
125,22 |
| 20000 |
127 |
127 |
20000 |
114,82 |
127 |
I hope this information is helpful to you.
Cheers!