See the help patch in Help -> Library -> Community -> tiar -> osc -> Steps -> SevenSteps
It is a seven step oscillator. Much like the Six Step oscillator, you can choose the amplitude of each step.
Note that the harmonics multiple of 7 have zero amplitude. Which is an interesting feature in some cases.
The community/tiar/osc/SelfPM object is a very low CPU bandlimited oscillator capable of generating filtered saw-ish and square-ish waveforms.
It has the classical pitch inlet and parameter.
The fbMod inlet is a positive input.
When the fbMod varies in the range [0 64], the effective fb varies in the range [fb0 fb1].
Negative fb produce squarish waveforms.
Positive fb produve sawish waveforms.
The patch tiar/synths/SelPM.axp is a simple mono synth (4% CPU) that includes an adsr amplitude envelope and an adsr fb control envelope.
Furthermore, fb0 is modulated by the aftertouch:
You can tweak the envelopes and fb0 and fb1 to get an idea of its sound range.
Try the help patch in menu: Help -> Library -> Community -> tiar -> osc -> wf12 -> 12stepsBLISync
BLI anti-aliased and compatible with wf_12Steps, wf_12Harm and wf_12Bank as source of waveforms.
It sounds brighter than O2_12StepsSync and is easier to use as it does not need an O2_to_SR_59 object.
Try the help patch in menu: Help -> Library -> Community -> tiar -> osc -> wf12 -> wf_12Chorus
Note: wf_12 signals are not actual audio signals, they are packed steppy waveform signals to be used in tiar/osc/ 12Steps series of oscillators.
wf_12Display displays a 12 step waveform.
wf_12Chorus can be used for pseudo chorus effects. It does not process an audio signal, it modulates wf_12 waveform before they get used by a compatible oscillator.
Each of the 12 steps are - more or less deeply - modulated by its own LFO.
Those 12 LFOs have different oscillation rates.
Try the help patch in Help -> Library -> Community -> tiar -> osc -> Steps -> SixStepsBLIV2
The SixSteps oscillators waveform is defined by six parameters, the six steps.
This allows to recreate some waveforms of early digital synths with the distinctive flavor of the very limited number of steps.
SixStepsBLIV1 and SixStepsBLIV2 add imperfection to these steps. They are not equal. Some are slightly longer or shorter than the others.
The resulting sound differs from the SixSteps oscillator especially when you play low notes. The sound can be more "brassy" and less "squarish".
The help patch has a toggle switch that helps to compare the ordinary SixSteps form the imperfect Variant.
Try the help patch in menu: Help -> Library -> Community -> tiar -> osc -> wf_12Scale
Note: wf_12 signals are not actual audio signals, they are packed steppy waveform signals to be used in tiar/osc/ 12Steps series of oscillators.
wf_12Scale processes a wf_12 signal by scaling its time axis and outputs the resulting wf_12 to be used in one or many 12Steps oscillators.
To be honest I am quite surprised to hear the effects it does. It mostly sound like some old digital filtering to me (say, some very quantized LPC systems). The help file Help -> Library -> Community -> tiar -> osc -> wf12 -> wf_12Scale is such an example.
The patch menu: File -> Library -> community -> tiar -> bass -> DigiCode sounds more grungy.
Thanks @lokki .
Try the help patch in menu: Help -> Library -> Community -> tiar -> osc -> wf_12Scan1
Note: wf_12 signals are not actual audio signals, they are packed steppy waveform signals to be used in tiar/osc/ 12Steps series of oscillators.
It works much like the wf_12Bank excepted that you can "scan" continuously through the wave bank.
"mode" selects the addressing mode: xfade or scan. Scan produces a dirtier effect.
menu: File -> Library -> Community -> tiar -> synths -> StereOctets
This patch uses a bunch of wf_12 modules to get sort of an 8 bit evolving stereo sound.
menu: File -> Library -> Community -> tiar -> guitar -> DigiGuitar
This patch also usesof wf_12 modules to get sort of an early sampler electric guitar sound.
Note that the BLI algorithm is alias prouf even in the higher register 
(as were early samplers that used variable rate sampling for each voice).
Uh yeah, I remember. "While my mirage gently beeps."
(The Ensoniq Mirage was one of these)
@SmashedTransistors i was wondering: is there a limit to the steps? could you also create a version with say 64 steps instead of 12? i guess you cannot pack the values conveniently in an audio-stream then...
Yes, @lokki, there are limitations
The BLI antialiasing is certainly amongst the most efficient anti aliasing, low CPU, good antialiasing, wide band and can anti alias sync.
But, basically, the BLI antialiasing scheme is limited to one transition per sample.
If you consider the higher note you will play being at 4000Hz, you will be able to manage up to
Nyquist/4000 = 24000/4000 = 6 transitions.
That's why my first steppy oscillators was limited to 6 steps.
I modified the method in 12StepsBLI(sync) in order to handle up to 2 transitions per sample. But it increases CPU.
What i like with these oscillators is the imperfection of the steps that generates a bunch of characteristic imaging harmonics.
Well in an audio signal we have 16 int32...
we can pack in there 32 int16
even if standard modules - like mixers - won't be compatible with this, it is still a handy way to transmit short waveforms.
At the moment, i'm still experimenting with short waveforms.
I've found a way to do second order DPW on waveforms with discontinuities.
Imagine a waveform with only 16 segments.
The trick is that the segments do not need to be connected.
the end of the first segment do not have to coincide with the start of the second segment.
This way, it is possible to make a 16 segment waveform with more than 8 harmonics.
Help -> Library -> Community -> tiar -> osc -> 16StepsDP2
is still in progress but you can play with it to get an idea. (simply change the last slider up and down, that's where i put the discontinuity in the waveform. note that the waveform is updated in the oscillator on "note on")
The wf_16Steps has 32 sliders that controls:
The 16 Steps (with discontinuities) oscillator described in the preceding post seems to work properly.
I added a new companion wf_16 object
menu: Help -> Library -> Community -> tiar -> osc -> wf_16BankPwr
is a bank of 16 predefined waveforms. These waveforms may seem strange at first sight, but they have quite useful spectra for substractive synthesis and are crest factor optimised.
For example, the first waveform is quite awkward but is has a spectrum similar to the one of a sawtooth:
menu: Help -> Library -> Community -> tiar -> osc -> wf_16BankPwr
has a toggle switch that will let you compare it to a regular sawtooth.
I think that one of the main interests - from a musical point of view - is when you mix this detuned "pseudo sawtooth" with a sawtooth. The sound is much smoother and harmonic cancellations/beatings are less audible.
Other waveforms in the bank are:
1 harm2: the two first harmonics have the same amplitude and then decay -6dB/oct
2 harm3: the three first harmonics have the same amplitude and then decay -6dB/oct
3 harm4: the four first harmonics have the same amplitude and then decay -6dB/oct
4 harm2b: the two first harmonics have the same amplitude and then decay -12dB/oct
5 harm3b: the first three harmonics have the same amplitude and then decay -12dB/oct
6 harm4b: the first four harmonics have the same amplitude and then decay -12dB/oct
7 harm7: the first 7 harmonics have the same amplitude and then decay -6dB/oct
8 harm7b: the first 7 harmonics have the same amplitude and then decay -12dB/oct
9 Res2 Resonance around harmonic 2
10 Res3 Resonance around harmonic 3
11 Res4 Resonance around harmonic 4
12 Res5 Resonance around harmonic 5
13. Res7 Resonance around harmonic 7
14. harm7_2_3 Strong first harmonics with some "decimated" harmonics
15. harm7_23_3 Strong first harmonics with more "decimated" harmonics
menu: Help -> Library -> Community -> tiar -> osc -> wf_16BankSpktra
and
menu: File -> Library -> Community -> tiar -> synths -> Tranquille
for examples.
is a new bank of 16 predefined waveforms for the 16StepsDP2 oscillator :
menu: File -> Library -> Community -> tiar -> synths -> Dangerine
Aftertouch and chorusing echo...
menu: Help -> Library -> Community -> tiar -> kfilter -> LPRiseDecay
It is a first order lowpass filter, with separate controls for Rise and Decay rates.
It can be used to smooth control signals with distinct rising and falling rates.
I find it useful on midi signals such as aftertouch.
try menu: Help -> Library -> Community -> tiar -> filter -> ZDF SVF 1 for instant psychédélic.
ZDF SVF 1 is still in dev, so feedback is welcome.
It is designed to be a "heavy duty" state variable filter, it must be capable of enduring deep and fast modulations without becoming unstable.
This object is a so called "Zero Delay Feedback" filter based on a design i made some years ago.
It is based on the "step invariant" transform (as opposed to the omnipresent bilinear transform).
The main advantage of this method is that its frequency response is similar to analog filters even in the high range of the spectrum (no frequency warping).
The maths behind it are a little more complicated than the usual trapezoïd ZDF.
For details, you can have a look to the jsfx/Reaper thread, there is two or three posts discussing transition matrixes...
try menu: Help -> Library -> Community -> tiar -> kfilter -> median
This is a 3 tap median filter for noisy control signals.
This can be useful if you have to deal with noisy control signals with random spikes or noise. This can be the case with some midi aftertouch controllers or when using analog inputs.
The main advantage of the median filter - compared to a low pass filter - is that it is more efficient for this kind of issue and it does not smooth the signal as much.
try the help patch to get an idea:
Note: median filters can be chained to process noisier control signals (when it is not possible to get cleaner signals from the hardware). Experiment and use kscope to see what it does to your control signals.
see menu: Help -> Library -> Community -> tiar -> kfilter -> medianChained.axh
menu: File -> Library -> Community -> tiar -> synths -> SpaceClarinet
Similar to "Dangerine" but based on the FiveSteps and SixStepsBLI oscillators from tiar->osc.
I loved the particular sound of the Mirage and of the early E-mu sampler.
