2d:null 2e:["$","title",null,{"children":"Equal Temperament Generator | Alessandro G. Magnasco | Observable"}] 33:T44d,// edoConstructor // builds an equal temperament system around given inputs edoConstructor = (rootNote,rootOctave,rootLetter,octaves,edo) => { // to do: split into root octave generator, 2:1 looper // initial setup let lowestNote = rootNote * 2 ** (rootOctave - octaves) let totalNotes = edo*octaves let stepRatio = Math.pow(2,1/edo) let tempTemp = Array(totalNotes) const centConst = 1200/Math.log10(2) let stepCents = 1200*Math.log2((rootNote*stepRatio)/rootNote) let keepTheChange = round(stepCents,0) // define lowest note tempTemp[0] = {Octave: 1, Hertz: lowestNote, Note: rootLetter} // fill out each note // bug: drags rounding errors so octaves are not exactly 2:1. // Should instead create lowest octave and loop it up // then loop through whole thing to round end result for (let i=1; i\n## ${title}\n${statement} Divisions are ${tex`\\sqrt[${edoInput}]{2}`} for a ratio of 1:${stepRatio}.","pinned":false,"hidden":false,"mode":"md","author":"$undefined","summary":"$undefined","output":"","database":"$undefined"},{"id":2,"value":"chart = {\n const svg = d3.create(\"svg\")\n .attr(\"viewBox\", [0, 0, width, height]);\n\n svg.append(\"g\")\n .call(xAxis);\n\n svg.append(\"g\")\n .call(yAxis);\n\n svg.append(\"g\")\n .selectAll(\"circle\")\n .data(temperament)\n .join(\"circle\")\n //.filter(d => d.Note)\n .attr(\"cx\", d => x(d.Hertz))\n .attr(\"cy\", d => y(d.Octave))\n .attr(\"r\", Math.log10(edoInput/octavesInput*5)); // (octavesInput/edoInput)\n\n svg.append(\"text\")\n .attr(\"class\", \"x label\")\n .attr(\"text-anchor\", \"end\")\n .attr(\"x\", width-50)\n .attr(\"y\", height - 6)\n .text(\"Frequency in Hertz\");\n\n svg.append(\"text\")\n .attr(\"class\", \"y label\")\n .attr(\"text-anchor\", \"end\")\n .attr(\"y\", 6)\n .attr(\"dy\", \"0.75em\")\n .attr(\"transform\", \"rotate(-90)\")\n .attr(\"x\",-25)\n .text(\"Octave\");\n\n return svg.node();\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":915,"value":"## Hear the notes!\n\n\n\nAdjust your speaker volume, then choose from the following options.\nFrequencies below 100Hz might not be audible on your speakers.\n\n| | |\n| - | - |\n| All notes in temperament: | ${pluckseq(demoAll, demoAll.length)} |\n| The lowest octave: | ${pluckseq(demoLowest, demoLowest.length)} |\n| The root note, across all octaves: | ${pluckseq(demoRoots, demoRoots.length)} |\n| Specific note ${demoNote.Hertz} Hz:| ${pluckseq([demoNote.Hertz], 2)} |","pinned":false,"hidden":false,"mode":"md","author":"$undefined","summary":"$undefined","output":"","database":"$undefined"},{"id":1030,"value":"viewof demoNote = Inputs.select(temperament, {label: \"Select a note to hear\", \n format: x=>x.Hertz\n })","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":918,"value":"// every note in the set\ndemoAll = temperament.map(function(note){return note.Hertz;});","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":920,"value":"// the lowest octave\ndemoLowest = temperament.slice(0,edoInput).map(function(note){return note.Hertz;});","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":925,"value":"// the root note across all octaves\ndemoRoots = {\n var arr = []\n for (var i=0; i\n# API Reference\n\n## imports\nRound is needed for more accurate math. Pluck is optional for audio.","pinned":false,"hidden":false,"mode":"md","author":"$undefined","summary":"$undefined","output":"","database":"$undefined"},{"id":649,"value":" // more accurate rounding from Jack Moore due to JS rounding errors\n // https://www.jacklmoore.com/notes/rounding-in-javascript/\n round = (number, decimalPlaces) => {\n return Number(Math.round(number + \"e\" + decimalPlaces) + \"e-\" + decimalPlaces)\n }","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":978,"value":"import {pluckseq} from \"@amagnasco/pluck-wa\"","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":880,"value":"## edoConstructor \n\nConstructs a musical equal temperament.\nInputs:\n- rootNote (float)\n- rootOctave (int)\n- rootLetter (alphanumeric)\n- octaves (int, recommended range 1-10)\n- edo (int, recommended range 1-500)\n\nOutputs an array of objects. The array is sized (octaves*edo). \nEach object has three properties:\n- Octave: starts at 1 and increments by 1 each time the array reaches a multiple of edo.\n- Hertz: Frequency in cycles per second. Increments by an amount proportional to inputs.\n- Note: Blank, for external use. First element is equal to rootLetter.\n\n#### Use:\n~~~js\nimport {edoConstructor} from \"@amagnasco/equal-temperament-generator\"\ntemperament = edoConstructor(rootNote, rootOctave, rootLetter, octaves, edo)\n~~~","pinned":false,"hidden":false,"mode":"md","author":"$undefined","summary":"$undefined","output":"","database":"$undefined"},{"id":885,"value":"

This work by Alessandro G. Magnasco is licensed under CC BY-NC-SA 4.0

","pinned":false,"hidden":false,"mode":"html","author":"$undefined","summary":"$undefined","output":"","database":"$undefined"},{"id":784,"value":"temperament = edoConstructor(rootNoteInput,rootOctaveInput,rootLetterInput,octavesInput,edoInput)","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":458,"value":"$33","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":335,"value":"ratioToCents = (ratio) => {return Math.log10(ratio)*(1200/Math.log10(2))}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":359,"value":"centsToRatio = (cents) => {\n return Math.pow(10,(1/cents))\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":620,"value":"title = edoInput+\"-TET (\" + rootLetterInput + rootOctaveInput + \"=\" + rootNoteInput + \")\"","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":623,"value":"statement = 'Constructing a ' + edoInput + 'edo temperament with ' + octavesInput + ' octaves based on ' + rootLetterInput + rootOctaveInput + '=' + rootNoteInput + 'Hz. The '+ edoInput*octavesInput +' steps are each approximately ' + round((1200*Math.log2((rootNoteInput*stepRatio)/rootNoteInput)),2)\n + ' cents apart.'","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":628,"value":"stepRatio = round((Math.pow(2,1/edoInput)),5)","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":14,"value":"twelveTET = FileAttachment(\"EqualTemperament.csv\").csv({typed: true})","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":890,"value":"## Standard Observable chart","pinned":false,"hidden":false,"mode":"md","author":"$undefined","summary":"$undefined","output":"","database":"$undefined"},{"id":6,"value":"height = 400","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":10,"value":"x = d3.scaleLog()\n .domain(d3.extent(temperament, d => d.Hertz)).nice()\n .range([margin.left, width - margin.right])","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":12,"value":"y = d3.scaleLinear()\n .domain(d3.extent(temperament, d => d.Octave))\n .range([height - margin.bottom-20, margin.top])","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":19,"value":"xAxis = g => g\n .attr(\"transform\", `translate(0,${height - margin.bottom})`)\n .call(d3.axisBottom(x))","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":17,"value":"yAxis = g => g\n .attr(\"transform\", `translate(${margin.left},0)`)\n .call(d3.axisLeft(y).ticks(octavesInput))","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":15,"value":"margin = ({top: 25, right: 20, bottom: 35, left: 40})","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"}],"files":"$W34","stdlib":"1","titling":"auto"}} 32:"$31:body"