/
CircleOfFifths.tsx
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/
CircleOfFifths.tsx
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// Circle of Fifths component heavily inspired by: https://blog.logrocket.com/interactive-svg-circle-of-fifths/
import React from "react";
function polarToCartesian(x, y, r, degrees) {
/**
* https://observablehq.com/@haakenlid/svg-circle
* Given a polar coordinate (r, degrees), converts to a cartesian coordinate, centered on (x,y)
*
* @param x - x offset for the center of the circle
* @param y - y offset for the center of the circle
* @param r - radius of the polar coordinate
* @param degrees - degrees of the polar coordinate
*/
const radians = (degrees * Math.PI) / 180.0;
return [x + r * Math.cos(radians), y + r * Math.sin(radians)];
}
function segmentPath(x, y, r0, r1, d0, d1) {
/**
* https://observablehq.com/@haakenlid/svg-circle
* Generates an svg path for a segment of a circle
*
* @param x - x offset for the center of the circle
* @param y - y offset for the center of the circle
* @param r0 - outer radius of the segment, i.e. how far out it extends from the center of the circle
* @param r1 - inner radius of the segment - i.e. where it starts. if this were 0, the segment would touch the center
* @param d0 - where the segment starts in the circle - i.e. the degrees from reference of one edge
* @param d1 - where the segment end in the circle - i.e. the degrees from reference of other edge
*/
const arc = Math.abs(d0 - d1) > 180 ? 1 : 0;
const point = (radius, degree) =>
polarToCartesian(x, y, radius, degree)
.map((n) => n.toPrecision(5))
.join(",");
return [
`M${point(r0, d0)}`, // Move to the starting point of the segment - one "corner"
`A${r0},${r0},0,${arc},1,${point(r0, d1)}`, // draw outer arc from that corner to the next corner
`L${point(r1, d1)}`, // draw the line to the inner radius
`A${r1},${r1},0,${arc},0,${point(r1, d0)}`, // draw the inner arc
"Z", // close the path - draw the line back to the start point.
].join("");
}
const CIRCLE_OF_FIFTHS_DATA = [
{
note: "A",
relativeMinor: "F#m",
diminished: "G#°",
keySignature: "###"
},
{
note: "E",
relativeMinor: "C#m",
diminished: "D#°",
keySignature: "####"
},
{
note: "B",
relativeMinor: "G#m",
diminished: "A#°",
keySignature: "#####"
},
{
note: "Gb",
relativeMinor: "D#m",
diminished: "F#°",
keySignature: "######"
},
{
note: "Db",
relativeMinor: "Bbm",
diminished: "C°",
keySignature: "bbbbb"
},
{
note: "Ab",
relativeMinor: "Fm",
diminished: "G°",
keySignature: "bbbb"
},
{
note: "Eb",
relativeMinor: "Cm",
diminished: "D°",
keySignature: "bbb"
},
{
note: "Bb",
relativeMinor: "Gm",
diminished: "A°",
keySignature: "bb"
},
{
note: "F",
relativeMinor: "Dm",
diminished: "E°",
keySignature: "b"
},
{
note: "C",
relativeMinor: "Am",
diminished: "B°",
keySignature: ""
},
{
note: "G",
relativeMinor: "Em",
diminished: "F#°",
keySignature: "#"
},
{
note: "D",
relativeMinor: "Bm",
diminished: "C#°",
keySignature: "##"
},
]
export const CircleOfFifths = () => {
const data = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12]
return <>
<div className="container py-4 m-auto">
<svg className="m-auto text-lime-900" version="1.1"
width="800" height="800"
xmlns="http://www.w3.org/2000/svg"
viewBox="0 0 400 400" >
<g style={{transform: "rotate(15deg)", transformOrigin: "200px 200px"}}>
{
...data.map((v, i) => {
return <CircleOfFifthsWedge x={200} y={200} r0={180} r1={120} d0={i * 30} d1={((i+1) * 30)}/>
})
}
{
...data.map((v, i) => {
return <CircleOfFifthsWedge x={200} y={200} r0={120} r1={80} d0={i * 30} d1={((i+1) * 30)}/>
})
}
{
...data.map((v, i) => {
return <CircleOfFifthsWedge x={200} y={200} r0={80} r1={50} d0={i * 30} d1={((i+1) * 30)} onClick={() => console.log("foo")} />
})
}
</g>
<g>
{
...CIRCLE_OF_FIFTHS_DATA.map((v, i) => {
const [center_x, center_y] = polarToCartesian(200, 200, 150, (i *30))
return <text style={{textAnchor: "middle", dominantBaseline: "central"}} x={center_x} y={center_y} >{v.note}</text>
})
}
{
...CIRCLE_OF_FIFTHS_DATA.map((v, i) => {
const [center_x, center_y] = polarToCartesian(200, 200, 100, (i *30))
return <text style={{textAnchor: "middle", dominantBaseline: "central", fontSize: "small"}} x={center_x} y={center_y} >{v.relativeMinor}</text>
})
}
{
...CIRCLE_OF_FIFTHS_DATA.map((v, i) => {
const [center_x, center_y] = polarToCartesian(200, 200, 65, (i *30))
return <text style={{textAnchor: "middle", dominantBaseline: "central", fontSize: "xx-small"}} x={center_x} y={center_y} >{v.diminished}</text>
})
}
</g>
</svg>
</div>
</>
}
const CircleOfFifthsWedge = ({x, y, r0, r1, d0, d1, onClick} ) => {
/**
* @param x - x offset for the center of the circle
* @param y - y offset for the center of the circle
* @param r0 - outer radius of the segment, i.e. how far out it extends from the center of the circle
* @param r1 - inner radius of the segment - i.e. where it starts. if this were 0, the segment would touch the center
* @param d0 - where the segment starts in the circle - i.e. the degrees from reference of one edge
* @param d1 - where the segment end in the circle - i.e. the degrees from reference of other edge
*/
return (
<path onClick={onClick ? onClick : null} d={segmentPath(x, y, r0, r1, d0, d1)} stroke="black" strokeWidth="2" fill="#84CC16" ></path>
)
}