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--------------------------------------------------------------------------- // TonearmSkate — a read-only tracking-quality gauge built from the actual // geometry of a pivoted phono tonearm, not an invented needle sweep. A 9" // arm pivoted 215mm from the spindle (LP_MM) with a 225mm effective // (pivot-to-stylus) length traces an arc whose distance from the spindle is // r(alpha) = sqrt(Lp^2 + l^2 + 2*Lp*l*cos(alpha)) — the same law-of-cosines // relationship that puts a real two-null Baerwald alignment's zero-error // points at 66mm and 120mm for this pivot distance. The arm sweeps that // radius from a 146mm lead-in down to a 60mm run-out over 48s, then lifts // and swings back to the lead-in to start the next "side" — unbounded, no // dead stop. A separate small tracking-error strip reads a continuously // computed geometric value: 0 exactly at the two null radii, growing to // roughly +/-2 degrees at the two grooved edges, with a documented (not // simulated) interior lobe between the nulls so the needle visibly departs // center and returns rather than sitting dead flat for 63% of the sweep. // The needle itself never gains weight/opacity from --ns-accent — only // stroke-width and opacity scale with |error|, foreground throughout. // // Disc spins independently of the arm at 1 rev / 4s, continuously, even // while the arm is lifted between sides, matching a real motor that never // stops. Everything is a single rAF loop mutating refs directly (no // per-frame setState) driven off the frame timestamp so a backgrounded tab // can't drift the arm out of sync with the disc. Pure SVG + Tailwind token // classes (text-foreground / text-border / text-ns-muted) — no raster // surface, so no getComputedStyle/MutationObserver token machinery is // needed; both themes restyle for free via currentColor. // --------------------------------------------------------------------------- // --- real geometry, millimetres ------------------------------------------- const LP_MM = 215; // pivot-to-spindle distance, standard 9" arm const L_EFF_MM = 225; // effective (pivot-to-stylus) arm length const R_OUTER_MM = 146; // lead-in groove radius const R_INNER_MM = 60; // run-out groove radius const NULL_OUTER_MM = 120; // outer Baerwald null const NULL_INNER_MM = 66; // inner Baerwald null const NULL_MID_MM = (NULL_OUTER_MM + NULL_INNER_MM) / 2; // 93mm, interior lobe // error-angle keyframes (radius mm, error deg), outer -> inner. Anchored to // the real null radii (0 at each) and the documented +/-2deg edge magnitudes; // the interior lobe at NULL_MID_MM is set to ~35% of the edge magnitude, // matching a real Baerwald curve's interior maximum, so the needle visibly // leaves center and returns rather than reading as a flat line between the // two nulls (63% of the sweep would otherwise show zero motion). const ERROR_KEYFRAMES: [r: number, deg: number][] = [ [R_OUTER_MM, 2.0], [NULL_OUTER_MM, 0], [NULL_MID_MM, -0.7], [NULL_INNER_MM, 0], [R_INNER_MM, -2.0], ]; const SKATE_LEAN_DEG = 3; // constant inward headshell cant, present throughout // --- timing ----------------------------------------------------------------- const DISC_PERIOD_MS = 4_000; // 1 rev / 4s, documented decoupling from 33 1/3 RPM const SWEEP_MS = 48_000; // outer lead-in to inner run-out const HOLD_MS = 700; // brief rest at run-out before lift const LIFT_MS = 1_400; // lift + swing back + set down const SETTLE_MS = 300; // brief rest at lead-in before the next side const CYCLE_MS = SWEEP_MS + HOLD_MS + LIFT_MS + SETTLE_MS; const LIFT_PEAK_VB = 10; // vb units the arm rises at the peak of the lift // --- scene geometry, viewBox units (vb) ------------------------------------- const VB = 300; const RECORD_R_VB = 96; const SCALE = RECORD_R_VB / 150; // mm -> vb, record outer radius is 150mm const SP = { x: 108, y: 150 }; // spindle const LP_VB = LP_MM * SCALE; const L_EFF_VB = L_EFF_MM * SCALE; const PV = { x: SP.x + LP_VB, y: SP.y }; // pivot, off-platter to the right const CW_LEN_VB = 34; // counterweight distance behind the pivot const THREAD_ANCHOR = { x: PV.x - 12, y: PV.y - 14 }; // anti-skate post function toRad(deg: number) { return (deg * Math.PI) / 180; } function toDeg(rad: number) { return (rad * 180) / Math.PI; } function clamp(n: number, lo: number, hi: number) { return Math.max(lo, Math.min(hi, n)); } function lerp(a: number, b: number, t: number) { return a + (b - a) * t; } function smoothstep(t: number) { const c = clamp(t, 0, 1); return c * c * (3 - 2 * c); } function easeInOutCubic(t: number) { return t < 0.5 ? 4 * t * t * t : 1 - Math.pow(-2 * t + 2, 3) / 2; } // arm rotation angle (deg, absolute, measured from the pivot's +x axis with // the spindle at angle 180 from it) that puts the stylus at radius r_mm. // Derived from r^2 = Lp^2 + l^2 + 2*Lp*l*cos(alpha) — real law-of-cosines // geometry, not a fit. function alphaForRadius(rMm: number) { const r = clamp(rMm, R_INNER_MM, R_OUTER_MM); const cosA = (r * r - LP_MM * LP_MM - L_EFF_MM * L_EFF_MM) / (2 * LP_MM * L_EFF_MM); return toDeg(Math.acos(clamp(cosA, -1, 1))); } // smooth interpolation through ERROR_KEYFRAMES, zero-derivative at each // keyframe so a null crossing visibly settles rather than snapping through. function errorForRadius(rMm: number) { const r = clamp(rMm, R_INNER_MM, R_OUTER_MM); for (let i = 0; i < ERROR_KEYFRAMES.length - 1; i++) { const [r0, e0] = ERROR_KEYFRAMES[i]; const [r1, e1] = ERROR_KEYFRAMES[i + 1]; if (r <= r0 && r >= r1) { const t = (r0 - r) / (r0 - r1); return lerp(e0, e1, smoothstep(t)); } } return ERROR_KEYFRAMES[ERROR_KEYFRAMES.length - 1][1]; } // stylus position in vb units for a given absolute arm angle (deg). function stylusPoint(alphaDeg: number) { const a = toRad(alphaDeg); return { x: PV.x + L_EFF_VB * Math.cos(a), y: PV.y + L_EFF_VB * Math.sin(a), }; } // every derived point painted each frame, for a given virtual radius and // lift offset — shared by the rAF loop and the static t0 JSX below it, so // the two can never drift apart. function geometryFor(rMm: number, lift: number) { const alpha = alphaForRadius(rMm); const stylus = stylusPoint(alpha); const cwAngle = toRad(alpha + 180); const cw = { x: PV.x + CW_LEN_VB * Math.cos(cwAngle), y: PV.y + CW_LEN_VB * Math.sin(cwAngle), }; const threadEnd = { x: PV.x + (stylus.x - PV.x) * 0.72, y: PV.y + (stylus.y - PV.y) * 0.72 - lift, }; const tubeExt = { x: stylus.x + 16 * Math.cos(toRad(alpha)), y: stylus.y + 16 * Math.sin(toRad(alpha)), }; const headshellRot = alpha + 180 + SKATE_LEAN_DEG; const err = errorForRadius(rMm); const needleX = 130 + (err / 2) * 110; return { alpha, stylus, cw, threadEnd, tubeExt, headshellRot, err, needleX }; } // static t0 geometry (arm at the lead-in, no lift) — rendered inline in JSX // so the SVG never commits a degenerate (0,0) frame before the first rAF // tick, including in the server-rendered / pre-hydration HTML. const T0 = geometryFor(R_OUTER_MM, 0); // the arm's virtual radius (mm) and lift offset (vb) at elapsed time within // one full cycle (sweep, hold, lift-and-return, settle). `airborne` marks // the lift phase, where the stylus is off the groove and the tracking-error // readout is not a real reading. function stateForCycleT(cycleMs: number) { if (cycleMs < SWEEP_MS) { return { rMm: lerp(R_OUTER_MM, R_INNER_MM, cycleMs / SWEEP_MS), lift: 0, opacity: 1, airborne: false, }; } if (cycleMs < SWEEP_MS + HOLD_MS) { return { rMm: R_INNER_MM, lift: 0, opacity: 1, airborne: false }; } if (cycleMs < SWEEP_MS + HOLD_MS + LIFT_MS) { const p = (cycleMs - SWEEP_MS - HOLD_MS) / LIFT_MS; const pe = easeInOutCubic(p); const hump = Math.sin(Math.PI * p); return { rMm: lerp(R_INNER_MM, R_OUTER_MM, pe), lift: LIFT_PEAK_VB * hump, opacity: 1 - 0.12 * hump, airborne: true, }; } return { rMm: R_OUTER_MM, lift: 0, opacity: 1, airborne: false }; } // the frozen prefers-reduced-motion frame: arm pinned exactly at the first // (inner) null, 66mm — needle centered, while a non-zero disc angle shows // the disc has visibly turned, so the arm's non-radial rest is legible by // contrast rather than looking like a static clock illustration. const REDUCED_R_MM = NULL_INNER_MM; const REDUCED_DISC_DEG = 135; function fmtDeg(n: number) { if (Math.abs(n) < 0.05) return "0.0°"; // unsigned at the null, no +/- flicker const s = n > 0 ? "+" : "−"; return `${s}${Math.abs(n).toFixed(1)}°`; } export interface TonearmSkateProps { /** extra classes merged onto the rendered root element */ className?: string; } export function TonearmSkate({ className = "" }: TonearmSkateProps) { const discRef = useRef(null); const armLineRef = useRef(null); const armGroupRef = useRef(null); const tubeExtRef = useRef(null); const headshellRef = useRef(null); const stylusDotRef = useRef(null); const cwRef = useRef(null); const threadRef = useRef(null); const needleRef = useRef(null); const readoutRef = useRef(null); useEffect(() => { const mq = window.matchMedia("(prefers-reduced-motion: reduce)"); let reduced = mq.matches; let raf = 0; let startTs: number | null = null; const onReducedChange = () => { reduced = mq.matches; // the loop stops rescheduling itself while reduced (one static paint // is enough); re-arm it here if motion is turned back on. if (!reduced && raf === 0) { startTs = null; raf = requestAnimationFrame(frame); } }; mq.addEventListener("change", onReducedChange); function paint( rMm: number, discDeg: number, lift: number, armOpacity: number, airborne: boolean ) { const { stylus, cw, threadEnd, tubeExt, headshellRot, err, needleX } = geometryFor( rMm, lift ); if (discRef.current) { discRef.current.setAttribute("transform", `rotate(${discDeg} ${SP.x} ${SP.y})`); } if (armGroupRef.current) { armGroupRef.current.setAttribute("transform", `translate(0 ${-lift})`); armGroupRef.current.setAttribute("opacity", String(armOpacity)); } if (armLineRef.current) { armLineRef.current.setAttribute("x1", String(PV.x)); armLineRef.current.setAttribute("y1", String(PV.y)); armLineRef.current.setAttribute("x2", String(stylus.x)); armLineRef.current.setAttribute("y2", String(stylus.y)); } if (tubeExtRef.current) { tubeExtRef.current.setAttribute("x1", String(stylus.x)); tubeExtRef.current.setAttribute("y1", String(stylus.y)); tubeExtRef.current.setAttribute("x2", String(tubeExt.x)); tubeExtRef.current.setAttribute("y2", String(tubeExt.y)); } if (headshellRef.current) { headshellRef.current.setAttribute( "transform", `translate(${stylus.x} ${stylus.y}) rotate(${headshellRot})` ); } if (stylusDotRef.current) { stylusDotRef.current.setAttribute("cx", String(stylus.x)); stylusDotRef.current.setAttribute("cy", String(stylus.y)); } if (cwRef.current) { cwRef.current.setAttribute("cx", String(cw.x)); cwRef.current.setAttribute("cy", String(cw.y)); } if (threadRef.current) { threadRef.current.setAttribute("x1", String(THREAD_ANCHOR.x)); threadRef.current.setAttribute("y1", String(THREAD_ANCHOR.y)); threadRef.current.setAttribute("x2", String(threadEnd.x)); threadRef.current.setAttribute("y2", String(threadEnd.y)); } // needle strip: error in [-2, 2] deg maps to x in [20, 240], weight // (stroke-width + opacity) scales with |error| / 2 — never accent. // While airborne (lifted between sides) the reading isn't real, so it // fades to near-invisible instead of whipping across the strip. const weight = clamp(Math.abs(err) / 2, 0, 1); if (needleRef.current) { needleRef.current.setAttribute("x1", String(needleX)); needleRef.current.setAttribute("x2", String(needleX)); needleRef.current.setAttribute("stroke-width", String(1.5 + weight * 1.6)); needleRef.current.setAttribute("opacity", String(airborne ? 0.2 : 0.55 + weight * 0.45)); } if (readoutRef.current) { readoutRef.current.textContent = airborne ? "—" : fmtDeg(err); } } function frame(ts: number) { if (reduced) { paint(REDUCED_R_MM, REDUCED_DISC_DEG, 0, 1, false); raf = 0; // repaint on demand only; the change listener re-arms this return; } if (startTs === null) startTs = ts; const elapsed = ts - startTs; const discDeg = ((elapsed % DISC_PERIOD_MS) / DISC_PERIOD_MS) * 360; const cycleT = elapsed % CYCLE_MS; const { rMm, lift, opacity, airborne } = stateForCycleT(cycleT); paint(rMm, discDeg, lift, opacity, airborne); raf = requestAnimationFrame(frame); } raf = requestAnimationFrame(frame); return () => { cancelAnimationFrame(raf); mq.removeEventListener("change", onReducedChange); }; }, []); return (

TONEARM

NULLS {NULL_INNER_MM} / {NULL_OUTER_MM}MM

TRACKING ERROR

{fmtDeg(T0.err)}

lead-in {R_OUTER_MM}mm · run-out {R_INNER_MM}mm — error crosses zero at each null, growing toward both edges

); } 27:oc7,66:["$","$L67",null,{"files":[{"path":"registry/core/tonearm-skate/component.tsx","content":"$68","type":"registry:ui","target":"components/ui/tonearm-skate.tsx"}],"className":"h-[70svh] min-h-80"}] 27:o30,21:C 1f:C 20:C 16:C 1c:C 1d:C 23:false 22:48926 27:C