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Cagire/docs/tutorials/at.md

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# Timing with at
Every step has a duration. By default, sounds emit at the very start of that duration. `at` changes *when* within the step sounds fire -- giving you sub-step rhythmic control without adding more steps.
## The Basics
`at` drains the entire stack and stores the values as timing offsets. Each value is a fraction of the step duration: 0 = start, 0.5 = halfway, 1.0 = next step boundary.
```forth
0.5 at kick snd . ;; kick at the midpoint
```
Push multiple values before calling `at` to get multiple emits from a single `.`:
```forth
0 0.5 at kick snd .
```
Two kicks: one at start, one at midpoint.
```forth
0 0.25 0.5 0.75 at hat snd .
```
Four hats, evenly spaced.
The deltas persist across multiple `.` calls until `clear` or a new `at`:
```forth
0 0.5 at
kick snd . ;; 2 kicks
hat snd . ;; 2 hats (same timing)
clear
snare snd . ;; 1 snare (deltas cleared)
```
## Cross-product: at Without arp
Without `arp`, deltas multiply with polyphonic voices. If you have 3 notes and 2 deltas, you get 6 emits -- every note at every delta:
```forth
0 0.5 at
c4 e4 g4 note 1.5 decay sine snd .
```
6 emits: 3 notes x 2 deltas. A chord played twice per step.
## 1:1 Pairing: at With arp
`arp` changes the behavior. Instead of cross-product, deltas and arp values pair up 1:1. Each delta gets one note from the arpeggio:
```forth
0 0.33 0.66 at
c4 e4 g4 arp note 0.5 decay sine snd .
```
C4 at 0, E4 at 0.33, G4 at 0.66.
If the lists differ in length, the shorter one wraps around:
```forth
0 0.25 0.5 0.75 at
c4 e4 arp note 0.3 decay sine snd .
```
C4, E4, C4, E4 — the shorter list wraps to fill 4 time points.
This is THE key distinction. Without `arp`: every note at every time. With `arp`: one note per time slot.
## Generating Deltas
You rarely type deltas by hand. Use generators:
Evenly spaced via `.,`:
```forth
0 1 0.25 ., at hat snd . ;; 0 0.25 0.5 0.75 1.0
```
Euclidean distribution via `euclid`:
```forth
3 8 euclid at hat snd . ;; 3 hats at positions 0, 3, 5
```
Random timing via `gen`:
```forth
( 0.0 1.0 rand ) 4 gen at hat snd . ;; 4 hats at random positions
```
Geometric spacing via `geom..`:
```forth
0.0 2.0 4 geom.. at hat snd . ;; exponentially spaced
```
## Gating at
Wrap `at` expressions in quotations for conditional timing:
```forth
( 0 0.25 0.5 0.75 at ) 2 every
hat snd .
```
16th-note hats every other bar.
```forth
( 0 0.5 at ) 0.5 chance
kick snd .
```
50% chance of double-hit.
When the quotation doesn't execute, no deltas are set -- you get the default single emit at beat start.