Tuning the OT ring modulator

The Lo-Fi effect on the Octatrack includes an AM section that behaves as a ring modulator when fed an audio signal. The AM Frequency (AMF) control is coarse, but with a simple LFO trick you can dial in specific musical pitches with fine resolution.

The technique: Set all points in the LFO designer to the same value = 1 (flat waveform) and assign the LFO to the AM Frequency parameter. The LFO depth (0–127) then acts as a fixed offset — effectively a “Fine” control within each AMF step.

The mapping: I measured the combined parameter AMF + Fine/127 against carrier frequency across 6.5 octaves (A0 to C7) and found a near-perfect log-linear relationship (R² = 0.9999):

AMF + Fine/127 = 12.6006 × log₂(Hz) − 11.8673

This means the effect uses proper musical (logarithmic) frequency scaling, and the table below gives you pre-computed AMF and Fine values for every semitone from A0 to C7.

Note Hz AMF Fine
A0 27.5 48 48
A#0 29.1 49 55
B0 30.9 50 61
C1 32.7 51 67
C#1 34.6 52 74
D1 36.7 53 80
D#1 38.9 54 86
E1 41.2 55 93
F1 43.7 56 99
F#1 46.2 57 106
G1 49.0 58 112
G#1 51.9 59 118
A1 55.0 60 125
A#1 58.3 62 4
B1 61.7 63 10
C2 65.4 64 17
C#2 69.3 65 23
D2 73.4 66 29
D#2 77.8 67 36
E2 82.4 68 42
F2 87.3 69 48
F#2 92.5 70 55
G2 98.0 71 61
G#2 103.8 72 68
A2 110.0 73 74
A#2 116.5 74 80
B2 123.5 75 87
C3 130.8 76 93
C#3 138.6 77 99
D3 146.8 78 106
D#3 155.6 79 112
E3 164.8 80 118
F3 174.6 81 125
F#3 185.0 83 4
G3 196.0 84 10
G#3 207.7 85 17
A3 220.0 86 23
A#3 233.1 87 30
B3 246.9 88 36
C4 261.6 89 42
C#4 277.2 90 49
D4 293.7 91 55
D#4 311.1 92 61
E4 329.6 93 68
F4 349.2 94 74
F#4 370.0 95 80
G4 392.0 96 87
G#4 415.3 97 93
A4 440.0 98 99
A#4 466.2 99 106
B4 493.9 100 112
C5 523.3 101 119
C#5 554.4 102 125
D5 587.3 104 4
D#5 622.3 105 11
E5 659.3 106 17
F5 698.5 107 23
F#5 740.0 108 30
G5 784.0 109 36
G#5 830.6 110 42
A5 880.0 111 49
A#5 932.3 112 55
B5 987.8 113 61
C6 1046.5 114 68
C#6 1108.7 115 74
D6 1174.7 116 81
D#6 1244.5 117 87
E6 1318.5 118 93
F6 1396.9 119 100
F#6 1480.0 120 106
G6 1568.0 121 112
G#6 1661.2 122 119
A6 1760.0 123 125
A#6 1864.7 125 4
B6 1975.5 126 11
C7 2093.0 127 17

Full writeup with figure attached. Enjoy the exploration — there’s a lot of strange and beautiful territory in here.

octatrack_am_ring_mod.docx (83.0 KB)

52 Likes

Great work !
Makes me want to use a midi processor to tune it from midi notes…may work.

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Ring mod is one of my favorite effects. One thing I love to do is put it in the feedback path of a delay/looper. Being able to then sequence the tuning is really something I’ve not been able to easily do before.

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This is some heavy shit….
Thank you for the work

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AM is not exactly the same as ring mod.

Or…OT’s arp ! I succeeded with an Event Processor Plus I already used to control Comb Filter pitch.

I mapped notes to AMF and LFO Depth.
Poor video example with headphones on phone !

Now I have to test AMF and Comb Filters with 2 arps !

11 Likes

True, but most ring mods I’ve owned have a mix knob that makes them functionally equivalent. I think. :thinking:

Ring mod is more bellish, goes thru 0.

With what signal did you measure tuning ?

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But the one on OT can be set fully wet, so I think it is a pure ring mod.

Sine wave generator in Logic. If I was tuning (for example) 220 Hz, I sent a 220 Hz signal and then found the OT settings that would generate the sum tone of 440 Hz. The difference one was 0 Hz.

The parameters are very close, but some fine tuning might be needed. There are some idiosyncrasies in the OT that I don’t fully understand yet.

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Edited for my stupidity.

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If you set AMD=127 you only get the sum and difference tones. That’s a ring mod.

Try it in your DAW with a signal meter. You’ll see the carrier completely disappear with AMD=127.

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Edited for my stupidity.

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Plenty of ring mods don’t allow users to input their own carrier wave. Moog minifooger didn’t, moogerfooger did. Fairfield Randy’s Revenge doesn’t.

Anyhow … this is a digression …

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This is correct. Amplitude modulation where the carrier and modulator are cancelled out is the definition of ring modulation.

Amp mod = carrier+modulator+sum+difference
Ring mod = sum+difference only

Whether the inputs are selectable or not is irrelevant.

The fully wet option in the OT is a neat little feature, carried over from the MD.

@Bryan_T Nice work!! Gotta try this.

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I wouldn’t call OT AM a ring modulator.

Ring modulation is similar to amplitude modulation, with the difference that in the latter the modulator is shifted to be positive before being multiplied with the carrier, while in the former the unshifted modulator signal is multiplied with the carrier."

AM is two-quadrant multiplication, where the modulating waveform is unipolar.

Ring modulation is four-quadrant multiplication, where the modulating waveform is bipolar. The modulator affects both the amplitude and the phase of the carrier."

So from what I understand :

AM is unipolar, doesn’t change phase.

Ring Modulator is bipolar, the phase is inverted when it goes below zero.

(Phase inversion is visible in the last curve)

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As always, things are more complex than they seem at first sight :slight_smile:

But isn’t what you 're describing simply the explanation to why the modulator and the carrier are cancelled out in the ring modulator?

Do you mean that in the OT implementation, they’ve used a different technique to ring modulation to be able to cancel the carrier and the modulator?

I don’t see what you mean by cancelled out. Passing through 0 ?

I think they just used AM, otherwise they would have call it ring modulator…no ?

Maybe OT modulator reach 0. Unipolar.

Its start phase can be set (Lofi Setup) when triggered (Amp Setup Fx1 / Fx2). I usually set it to 90°C to make it warmer. :content:


So it is different from RM (bipolar + phase inversion), which sounds different (pitch especially).

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So it’s more like a tuned AM than ringmod?

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Almost ! @Bryan_T tuned it !

Manual says :

The amplitude modulator is essentially a volume control which is controlled by a low frequency oscillator.

I compared Lofi AM it with a fast tri lfo on VOL made with an lfo designer, very close ! (Tri vs Sin though).

I also made to mimick ring modulator and made an A/B comparison. I alternated 1 sample and its inverted phase copy, using complementary lfo designers

Sounds close, but the resulting pitch is different.

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Here I am comparing the effect in the OT with the Moog 102 plugin.

Raw sound:

Ring mod 1 :

Ring mod 2:

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Thanks for the detailed response @sezare56. I need to go back and test it on the OT, to make sure I’m understanding this.

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