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Circuits

OTAs and pots

Two parts that turn a circuit into a synth. A pot is a knob with three legs: a resistor with a wiper you turn along it. An OTA is an amplifier whose gain is a current, so a voltage can set it: an envelope makes it a VCA, a random voltage makes it a filter that never sits still.

New words

A pot (a potentiometer) is a resistor with a third leg, its wiper, that a knob moves along it. Its taper is how: in a straight line, or an audio taper, slow at first.

An OTA (an operational transconductance amplifier) turns the difference between its inputs into a current, as big as the current into its bias pin, Iabc, allows.

Random Filter's Patch: a saw and a sub through RandomFilter, a copper circuit box, into a VCA; noise into SampleHold, another circuit, with a square LFO into its gate and its out wired into RandomFilter's cutoff; a keyboard below.
Hold a low key: the filter jumps to a new place on every eighth note. Double-click RandomFilter to open its parts list. Open the example sound: Random Filter ↗ (opens in a new tab)

1A pot

Write a pot as P, then one end, its wiper, its other end, and its value, the whole of its track. After that its position, and maybe its taper:

setting volume: 70%
P1 a out gnd 100k volume audio

At 100% the wiper is at the first end, at 0% at the last. So this is a volume control: turned up, out is a; turned down, it's ground. Write the end you turn towards first.

A pot's position is a setting in percent, from 0% to 100% unless you give it a range (from 20% to 80%). Its knob turns in a straight line, and a wire's 1 turns it half way along. One setting can turn two pots: a dual pot.

2A tone control

A famous fuzz's tone control is one pot between two filters. From the clipped sound, a low-pass (Rlp, Clp) and a high-pass (Chp, Rhp) run side by side; the pot's wiper picks how much of each. All bass at 0%, all treble at 100%, and half way, a dip in the middle frequencies, the sound that made it famous. After it, a volume pot on the audio taper.

Rlp a lp 39k
Clp lp gnd 10n
Chp a hp 4n
Rhp hp gnd 22k
P1 hp t lp 100k tone
P2 t out gnd 100k volume audio

In Scooped Tone an LFO is wired into tone, so the pot turns slowly back and forth on its own.

ScoopedTone's schematic: a resistor into two diodes, then a low-pass and a high-pass with the tone pot P1 between them, its wiper into the volume pot P2 to ground, whose wiper is out.
A pot is a resistor with an arrow, its wiper, pointing into it.

3An OTA

An op-amp's out is a voltage. An OTA's is a current: the difference between its inputs, times its transconductance, and that is set by another current, the one into its bias pin. Write it as A, then its + input, its − input, its out, its bias pin and its model:

A1 p m o abc CA3080
Rb env abc 47k
RL o gnd 47k

The bias pin is a junction down to ground, so feed it as a real OTA is fed, through a resistor from a control voltage: Rb turns 10 V into about 0.2 mA. Its out is a current, so give it a load (RL) to make a voltage from it.

Its current is Iabc tanh((v+ − v−) / 2 Vt), two transistors' law: a straight line for a few millivolts, then it bends and stops at Iabc. So the sound goes in through a divider (100k and 220 Ω make 6 V into 13 mV), and driven harder, it rounds off softly.

4An OTA as a VCA

Wire an Envelope into a named input, in env: from 0 V to 10 V, and through Rb it sets Iabc: how loud the note is, the way synths of the seventies did it with a CA3080. U1 buffers the out. Turn input up and the OTA's tanh starts to round the peaks. Ned builds one, then pushes it until it growls, in the lesson An amp from one OTA, pushed until it growls (opens in a new tab).

OtaVca · the parts list
# An OTA as a VCA, the way synths of the seventies used a CA3080. Its out is a current, Iabc tanh((v+ - v-) / 2 Vt): how# loud the sound comes out is how much current flows into its bias pin. The Envelope's 1 is 10 V at env, and Rb turns that# into up to about 0.2 mA. R1 and R2 bring the sound down to a few millivolts at the + input (an OTA's inputs only stay in a# straight line for a few tens of millivolts; drive them harder with input and tanh rounds the peaks off), R3 gives the - input# the same 220 ohms to ground, RL turns the current back into a voltage, and U1 buffers it. Under about 0.6 V at the bias pin# its junction lets almost nothing through, so the tail of each note falls away a little faster than the Envelope does.circuit OtaVca  setting input: 4 V, from 0.4 V to 20 V  setting output: 11 V, from 1.1 V to 55 V  in env: from 0 V to 10 V  R1 in p 100k  R2 p gnd 220  R3 m gnd 220  Rb env abc 47k  A1 p m o abc CA3080  RL o gnd 47k  U1 o out out opampend
OtaVca's schematic: the sound through a divider into the OTA A1's + input, its bias pin from below through Rb from the env terminal, its out into RL and a buffer U1.
An OTA is drawn as an op-amp, its bias pin from under it and a circle on its out: a current.

5Two OTAs make a filter

Into a capacitor, an OTA's current makes an integrator: its voltage follows the input, as fast as Iabc lets it. Two in a row, each with a buffer after it (U3, the band-pass; U4, the low-pass and out), and the low-pass fed back into the first one's − input, make a 12 dB low-pass whose cutoff is a current. Rq feeds the band-pass back too: the bigger it is, the more it rings (Q is Rq over 100k).

The cutoff is the current into both bias pins, from the 15 V supply through Rk1 and Rk2. One cutoff setting turns them both, a dual pot: from 1M (about 100 Hz) down to 33k (2.9 kHz). With its range made wider and an Envelope on its cutoff, it plays an acid line (opens in a new tab).

6A random filter

Wire Circuits 3's sample and hold, a circuit of its own, into cutoff: sh -> rf.cutoff. A wire turns a setting from where it's set, half its travel for a 1, so each held voltage of the noise turns the dual pot to a new place, a new random cutoff on every clock: the burble, from a filter whose every part you can see. Ned builds it, chip by chip, in the lesson A filter from two OTA chips (opens in a new tab).

RandomFilter · the parts list
# A two-OTA low-pass whose cutoff a sample and hold sets. Two CA3080s, each an integrator into a 1n capacitor (Ca, Cb) with a# buffer after it: U3 the band-pass, U4 the low-pass, out. A1's - input sums the low-pass and the band-pass (Rq): the bigger# Rq, the less the band-pass damps it and the more it rings (Q = Rq / 100k). How fast the integrators run is the current into# their bias pins, from the 15 V supply through Rk1 and Rk2: cutoff turns them together, a dual pot, from 1M (about 100 Hz)# down to 33k (2.9 kHz). The sample and hold's wire into cutoff turns it from where it's set, up to half its travel either way.circuit RandomFilter  setting input: 6 V, from 0.6 V to 30 V  setting output: 7 V, from 0.7 V to 35 V  setting cutoff: 150k, from 1M to 33k  setting resonance: 220k, from 47k to 680k  V1 vcc gnd 15V  R1 in p1 100k  R2 p1 gnd 220  A1 p1 m1 c1 abc1 CA3080  Rlp out m1 100k  Rq bp m1 resonance  R4 m1 gnd 220  Ca c1 gnd 1n  U3 c1 bp bp opamp  R5 bp p2 100k  R6 p2 gnd 220  A2 p2 gnd c2 abc2 CA3080  Cb c2 gnd 1n  U4 c2 out out opamp  Rk1 vcc abc1 cutoff  Rk2 vcc abc2 cutoffend
RandomFilter's schematic: two OTAs, each into a capacitor and a buffer, the low-pass and band-pass fed back to the first one's minus input, their bias pins fed from the 15 V supply through Rk1 and Rk2.
The two-OTA low-pass: two integrators and their buffers, the bias pins fed from the supply through the dual pot.

Try it

  1. Open Scooped Tone and turn tone by hand, then pull the LFO's wire out: the knob alone sets the pot.
  2. In OTA VCA, turn input to 12 V and listen to the OTA round off the loudest notes.
  3. In Random Filter, turn cutoff down: the random places move with it, lower and darker.
  4. Turn resonance up to 680k: each jump of the cutoff rings.
Open the example sound: Random Filter ↗ (opens in a new tab)

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