diff --git a/packages/core/signal.mjs b/packages/core/signal.mjs
index ade43e32..3ab35f23 100644
--- a/packages/core/signal.mjs
+++ b/packages/core/signal.mjs
@@ -20,9 +20,6 @@ export const signal = (func) => {
   return new Pattern(query);
 };
 
-export const isaw = signal((t) => 1 - (t % 1));
-export const isaw2 = isaw.toBipolar();
-
 /**
  *  A sawtooth signal between 0 and 1.
  *
@@ -36,8 +33,40 @@ export const isaw2 = isaw.toBipolar();
  *
  */
 export const saw = signal((t) => t % 1);
+
+/**
+ *  A sawtooth signal between -1 and 1 (like `saw`, but bipolar).
+ *
+ * @return {Pattern}
+ */
 export const saw2 = saw.toBipolar();
 
+/**
+ *  A sawtooth signal between 1 and 0 (like `saw`, but flipped).
+ *
+ * @return {Pattern}
+ * @example
+ * note("<c3 [eb3,g3] g2 [g3,bb3]>*8")
+ * .clip(isaw.slow(2))
+ * @example
+ * n(isaw.range(0,8).segment(8))
+ * .scale('C major')
+ *
+ */
+export const isaw = signal((t) => 1 - (t % 1));
+
+/**
+ *  A sawtooth signal between 1 and -1 (like `saw2`, but flipped).
+ *
+ * @return {Pattern}
+ */
+export const isaw2 = isaw.toBipolar();
+
+/**
+ *  A sine signal between -1 and 1 (like `sine`, but bipolar).
+ *
+ * @return {Pattern}
+ */
 export const sine2 = signal((t) => Math.sin(Math.PI * 2 * t));
 
 /**
@@ -61,6 +90,12 @@ export const sine = sine2.fromBipolar();
  *
  */
 export const cosine = sine._early(Fraction(1).div(4));
+
+/**
+ *  A cosine signal between -1 and 1 (like `cosine`, but bipolar).
+ *
+ * @return {Pattern}
+ */
 export const cosine2 = sine2._early(Fraction(1).div(4));
 
 /**
@@ -72,6 +107,12 @@ export const cosine2 = sine2._early(Fraction(1).div(4));
  *
  */
 export const square = signal((t) => Math.floor((t * 2) % 2));
+
+/**
+ *  A square signal between -1 and 1 (like `square`, but bipolar).
+ *
+ * @return {Pattern}
+ */
 export const square2 = square.toBipolar();
 
 /**
@@ -82,9 +123,37 @@ export const square2 = square.toBipolar();
  * n(tri.segment(8).range(0,7)).scale("C:minor")
  *
  */
-export const tri = fastcat(isaw, saw);
-export const tri2 = fastcat(isaw2, saw2);
+export const tri = fastcat(saw, isaw);
 
+/**
+ *  A triangle signal between -1 and 1 (like `tri`, but bipolar).
+ *
+ * @return {Pattern}
+ */
+export const tri2 = fastcat(saw2, isaw2);
+
+/**
+ *  An inverted triangle signal between 1 and 0 (like `tri`, but flipped).
+ *
+ * @return {Pattern}
+ * @example
+ * n(itri.segment(8).range(0,7)).scale("C:minor")
+ *
+ */
+export const itri = fastcat(isaw, saw);
+
+/**
+ *  An inverted triangle signal between -1 and 1 (like `itri`, but bipolar).
+ *
+ * @return {Pattern}
+ */
+export const itri2 = fastcat(isaw2, saw2);
+
+/**
+ *  A signal representing the cycle time.
+ *
+ * @return {Pattern}
+ */
 export const time = signal(id);
 
 /**
diff --git a/test/__snapshots__/examples.test.mjs.snap b/test/__snapshots__/examples.test.mjs.snap
index c2853f9f..64d7cc1f 100644
--- a/test/__snapshots__/examples.test.mjs.snap
+++ b/test/__snapshots__/examples.test.mjs.snap
@@ -4261,6 +4261,96 @@ exports[`runs examples > example "iresponse" example index 0 1`] = `
 ]
 `;
 
+exports[`runs examples > example "isaw" example index 0 1`] = `
+[
+  "[ 0/1 → 1/8 | note:c3 clip:1 ]",
+  "[ 1/8 → 1/4 | note:eb3 clip:0.9375 ]",
+  "[ 1/8 → 1/4 | note:g3 clip:0.9375 ]",
+  "[ 1/4 → 3/8 | note:g2 clip:0.875 ]",
+  "[ 3/8 → 1/2 | note:g3 clip:0.8125 ]",
+  "[ 3/8 → 1/2 | note:bb3 clip:0.8125 ]",
+  "[ 1/2 → 5/8 | note:c3 clip:0.75 ]",
+  "[ 5/8 → 3/4 | note:eb3 clip:0.6875 ]",
+  "[ 5/8 → 3/4 | note:g3 clip:0.6875 ]",
+  "[ 3/4 → 7/8 | note:g2 clip:0.625 ]",
+  "[ 7/8 → 1/1 | note:g3 clip:0.5625 ]",
+  "[ 7/8 → 1/1 | note:bb3 clip:0.5625 ]",
+  "[ 1/1 → 9/8 | note:c3 clip:0.5 ]",
+  "[ 9/8 → 5/4 | note:eb3 clip:0.4375 ]",
+  "[ 9/8 → 5/4 | note:g3 clip:0.4375 ]",
+  "[ 5/4 → 11/8 | note:g2 clip:0.375 ]",
+  "[ 11/8 → 3/2 | note:g3 clip:0.3125 ]",
+  "[ 11/8 → 3/2 | note:bb3 clip:0.3125 ]",
+  "[ 3/2 → 13/8 | note:c3 clip:0.25 ]",
+  "[ 13/8 → 7/4 | note:eb3 clip:0.1875 ]",
+  "[ 13/8 → 7/4 | note:g3 clip:0.1875 ]",
+  "[ 7/4 → 15/8 | note:g2 clip:0.125 ]",
+  "[ 15/8 → 2/1 | note:g3 clip:0.0625 ]",
+  "[ 15/8 → 2/1 | note:bb3 clip:0.0625 ]",
+  "[ 2/1 → 17/8 | note:c3 clip:1 ]",
+  "[ 17/8 → 9/4 | note:eb3 clip:0.9375 ]",
+  "[ 17/8 → 9/4 | note:g3 clip:0.9375 ]",
+  "[ 9/4 → 19/8 | note:g2 clip:0.875 ]",
+  "[ 19/8 → 5/2 | note:g3 clip:0.8125 ]",
+  "[ 19/8 → 5/2 | note:bb3 clip:0.8125 ]",
+  "[ 5/2 → 21/8 | note:c3 clip:0.75 ]",
+  "[ 21/8 → 11/4 | note:eb3 clip:0.6875 ]",
+  "[ 21/8 → 11/4 | note:g3 clip:0.6875 ]",
+  "[ 11/4 → 23/8 | note:g2 clip:0.625 ]",
+  "[ 23/8 → 3/1 | note:g3 clip:0.5625 ]",
+  "[ 23/8 → 3/1 | note:bb3 clip:0.5625 ]",
+  "[ 3/1 → 25/8 | note:c3 clip:0.5 ]",
+  "[ 25/8 → 13/4 | note:eb3 clip:0.4375 ]",
+  "[ 25/8 → 13/4 | note:g3 clip:0.4375 ]",
+  "[ 13/4 → 27/8 | note:g2 clip:0.375 ]",
+  "[ 27/8 → 7/2 | note:g3 clip:0.3125 ]",
+  "[ 27/8 → 7/2 | note:bb3 clip:0.3125 ]",
+  "[ 7/2 → 29/8 | note:c3 clip:0.25 ]",
+  "[ 29/8 → 15/4 | note:eb3 clip:0.1875 ]",
+  "[ 29/8 → 15/4 | note:g3 clip:0.1875 ]",
+  "[ 15/4 → 31/8 | note:g2 clip:0.125 ]",
+  "[ 31/8 → 4/1 | note:g3 clip:0.0625 ]",
+  "[ 31/8 → 4/1 | note:bb3 clip:0.0625 ]",
+]
+`;
+
+exports[`runs examples > example "isaw" example index 1 1`] = `
+[
+  "[ 0/1 → 1/8 | note:D4 ]",
+  "[ 1/8 → 1/4 | note:C4 ]",
+  "[ 1/4 → 3/8 | note:B3 ]",
+  "[ 3/8 → 1/2 | note:A3 ]",
+  "[ 1/2 → 5/8 | note:G3 ]",
+  "[ 5/8 → 3/4 | note:F3 ]",
+  "[ 3/4 → 7/8 | note:E3 ]",
+  "[ 7/8 → 1/1 | note:D3 ]",
+  "[ 1/1 → 9/8 | note:D4 ]",
+  "[ 9/8 → 5/4 | note:C4 ]",
+  "[ 5/4 → 11/8 | note:B3 ]",
+  "[ 11/8 → 3/2 | note:A3 ]",
+  "[ 3/2 → 13/8 | note:G3 ]",
+  "[ 13/8 → 7/4 | note:F3 ]",
+  "[ 7/4 → 15/8 | note:E3 ]",
+  "[ 15/8 → 2/1 | note:D3 ]",
+  "[ 2/1 → 17/8 | note:D4 ]",
+  "[ 17/8 → 9/4 | note:C4 ]",
+  "[ 9/4 → 19/8 | note:B3 ]",
+  "[ 19/8 → 5/2 | note:A3 ]",
+  "[ 5/2 → 21/8 | note:G3 ]",
+  "[ 21/8 → 11/4 | note:F3 ]",
+  "[ 11/4 → 23/8 | note:E3 ]",
+  "[ 23/8 → 3/1 | note:D3 ]",
+  "[ 3/1 → 25/8 | note:D4 ]",
+  "[ 25/8 → 13/4 | note:C4 ]",
+  "[ 13/4 → 27/8 | note:B3 ]",
+  "[ 27/8 → 7/2 | note:A3 ]",
+  "[ 7/2 → 29/8 | note:G3 ]",
+  "[ 29/8 → 15/4 | note:F3 ]",
+  "[ 15/4 → 31/8 | note:E3 ]",
+  "[ 31/8 → 4/1 | note:D3 ]",
+]
+`;
+
 exports[`runs examples > example "iter" example index 0 1`] = `
 [
   "[ 0/1 → 1/4 | note:A3 ]",
@@ -4303,6 +4393,43 @@ exports[`runs examples > example "iterBack" example index 0 1`] = `
 ]
 `;
 
+exports[`runs examples > example "itri" example index 0 1`] = `
+[
+  "[ 0/1 → 1/8 | note:C4 ]",
+  "[ 1/8 → 1/4 | note:Bb3 ]",
+  "[ 1/4 → 3/8 | note:G3 ]",
+  "[ 3/8 → 1/2 | note:Eb3 ]",
+  "[ 1/2 → 5/8 | note:C3 ]",
+  "[ 5/8 → 3/4 | note:Eb3 ]",
+  "[ 3/4 → 7/8 | note:G3 ]",
+  "[ 7/8 → 1/1 | note:Bb3 ]",
+  "[ 1/1 → 9/8 | note:C4 ]",
+  "[ 9/8 → 5/4 | note:Bb3 ]",
+  "[ 5/4 → 11/8 | note:G3 ]",
+  "[ 11/8 → 3/2 | note:Eb3 ]",
+  "[ 3/2 → 13/8 | note:C3 ]",
+  "[ 13/8 → 7/4 | note:Eb3 ]",
+  "[ 7/4 → 15/8 | note:G3 ]",
+  "[ 15/8 → 2/1 | note:Bb3 ]",
+  "[ 2/1 → 17/8 | note:C4 ]",
+  "[ 17/8 → 9/4 | note:Bb3 ]",
+  "[ 9/4 → 19/8 | note:G3 ]",
+  "[ 19/8 → 5/2 | note:Eb3 ]",
+  "[ 5/2 → 21/8 | note:C3 ]",
+  "[ 21/8 → 11/4 | note:Eb3 ]",
+  "[ 11/4 → 23/8 | note:G3 ]",
+  "[ 23/8 → 3/1 | note:Bb3 ]",
+  "[ 3/1 → 25/8 | note:C4 ]",
+  "[ 25/8 → 13/4 | note:Bb3 ]",
+  "[ 13/4 → 27/8 | note:G3 ]",
+  "[ 27/8 → 7/2 | note:Eb3 ]",
+  "[ 7/2 → 29/8 | note:C3 ]",
+  "[ 29/8 → 15/4 | note:Eb3 ]",
+  "[ 15/4 → 31/8 | note:G3 ]",
+  "[ 31/8 → 4/1 | note:Bb3 ]",
+]
+`;
+
 exports[`runs examples > example "jux" example index 0 1`] = `
 [
   "[ 0/1 → 1/8 | s:bd pan:0 ]",
@@ -8999,38 +9126,38 @@ exports[`runs examples > example "transpose" example index 1 1`] = `
 
 exports[`runs examples > example "tri" example index 0 1`] = `
 [
-  "[ 0/1 → 1/8 | note:C4 ]",
-  "[ 1/8 → 1/4 | note:Bb3 ]",
+  "[ 0/1 → 1/8 | note:C3 ]",
+  "[ 1/8 → 1/4 | note:Eb3 ]",
   "[ 1/4 → 3/8 | note:G3 ]",
-  "[ 3/8 → 1/2 | note:Eb3 ]",
-  "[ 1/2 → 5/8 | note:C3 ]",
-  "[ 5/8 → 3/4 | note:Eb3 ]",
+  "[ 3/8 → 1/2 | note:Bb3 ]",
+  "[ 1/2 → 5/8 | note:C4 ]",
+  "[ 5/8 → 3/4 | note:Bb3 ]",
   "[ 3/4 → 7/8 | note:G3 ]",
-  "[ 7/8 → 1/1 | note:Bb3 ]",
-  "[ 1/1 → 9/8 | note:C4 ]",
-  "[ 9/8 → 5/4 | note:Bb3 ]",
+  "[ 7/8 → 1/1 | note:Eb3 ]",
+  "[ 1/1 → 9/8 | note:C3 ]",
+  "[ 9/8 → 5/4 | note:Eb3 ]",
   "[ 5/4 → 11/8 | note:G3 ]",
-  "[ 11/8 → 3/2 | note:Eb3 ]",
-  "[ 3/2 → 13/8 | note:C3 ]",
-  "[ 13/8 → 7/4 | note:Eb3 ]",
+  "[ 11/8 → 3/2 | note:Bb3 ]",
+  "[ 3/2 → 13/8 | note:C4 ]",
+  "[ 13/8 → 7/4 | note:Bb3 ]",
   "[ 7/4 → 15/8 | note:G3 ]",
-  "[ 15/8 → 2/1 | note:Bb3 ]",
-  "[ 2/1 → 17/8 | note:C4 ]",
-  "[ 17/8 → 9/4 | note:Bb3 ]",
+  "[ 15/8 → 2/1 | note:Eb3 ]",
+  "[ 2/1 → 17/8 | note:C3 ]",
+  "[ 17/8 → 9/4 | note:Eb3 ]",
   "[ 9/4 → 19/8 | note:G3 ]",
-  "[ 19/8 → 5/2 | note:Eb3 ]",
-  "[ 5/2 → 21/8 | note:C3 ]",
-  "[ 21/8 → 11/4 | note:Eb3 ]",
+  "[ 19/8 → 5/2 | note:Bb3 ]",
+  "[ 5/2 → 21/8 | note:C4 ]",
+  "[ 21/8 → 11/4 | note:Bb3 ]",
   "[ 11/4 → 23/8 | note:G3 ]",
-  "[ 23/8 → 3/1 | note:Bb3 ]",
-  "[ 3/1 → 25/8 | note:C4 ]",
-  "[ 25/8 → 13/4 | note:Bb3 ]",
+  "[ 23/8 → 3/1 | note:Eb3 ]",
+  "[ 3/1 → 25/8 | note:C3 ]",
+  "[ 25/8 → 13/4 | note:Eb3 ]",
   "[ 13/4 → 27/8 | note:G3 ]",
-  "[ 27/8 → 7/2 | note:Eb3 ]",
-  "[ 7/2 → 29/8 | note:C3 ]",
-  "[ 29/8 → 15/4 | note:Eb3 ]",
+  "[ 27/8 → 7/2 | note:Bb3 ]",
+  "[ 7/2 → 29/8 | note:C4 ]",
+  "[ 29/8 → 15/4 | note:Bb3 ]",
   "[ 15/4 → 31/8 | note:G3 ]",
-  "[ 31/8 → 4/1 | note:Bb3 ]",
+  "[ 31/8 → 4/1 | note:Eb3 ]",
 ]
 `;