{"id":1411,"date":"2021-08-04T11:00:00","date_gmt":"2021-08-04T11:00:00","guid":{"rendered":"https:\/\/mixxed.com\/blog\/?p=1411"},"modified":"2022-09-22T11:53:59","modified_gmt":"2022-09-22T11:53:59","slug":"how-does-fm-synthesis-work","status":"publish","type":"post","link":"https:\/\/create.routenote.com\/blog\/how-does-fm-synthesis-work\/","title":{"rendered":"Define Synthesis: How Does FM Synthesis Work?"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">It&#8217;s Time For Another Round of Synthesis!<\/h2>\n\n\n\n<p>Ladies &amp; gents, dogs &amp; cats. You&#8217;ve masterfully composed the beginnings of your new track with <strong><a href=\"https:\/\/mixxed.com\/\" target=\"_blank\" rel=\"noreferrer noopener\">Mixxed <\/a><\/strong>samples &amp; want to spice up your pot with interesting sounds.<\/p>\n\n\n\n<p>We&#8217;re taking the world of sound design by storm. This time, we&#8217;re covering how to do <strong>FM synthesis<\/strong>. <\/p>\n\n\n\n<p>What&#8217;s FM synthesis, I hear you ask? Only one of the coolest things to happen to humans. Here&#8217;s how FM synthesis works.<\/p>\n\n\n\n<p>If you&#8217;re new to synthesis, we&#8217;ve written a couple of other articles that will make this article easier for you to understand. <\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Define Synthesis Series<\/h2>\n\n\n\n<p><strong><a href=\"https:\/\/mixxed.com\/blog\/how-does-sound-design-work\/\" target=\"_blank\" rel=\"noreferrer noopener\">How Do Synthesizers Work?<\/a><\/strong>  <br><br><strong><a href=\"https:\/\/mixxed.com\/blog\/define-synthesis-how-does-subtractive-synthesis-work\/\" target=\"_blank\" rel=\"noreferrer noopener\">How Does Subtractive Synthesis Work?<\/a><\/strong><br><br><strong><a href=\"https:\/\/mixxed.com\/blog\/how-does-additive-synthesis-work\/\" target=\"_blank\" rel=\"noreferrer noopener\">How Does Additive Synthesis Work?<\/a><\/strong><br><br><strong><a href=\"https:\/\/mixxed.com\/blog\/how-does-fm-synthesis-work\/\" target=\"_blank\" rel=\"noreferrer noopener\">How Does FM Synthesis Work?<\/a><\/strong><br><br><strong><a href=\"https:\/\/mixxed.com\/blog\/how-does-wavetable-synthesis-work\/\" target=\"_blank\" rel=\"noreferrer noopener\">How Does Wavetable Synthesis Work?<\/a><\/strong><br><br><strong><a href=\"https:\/\/mixxed.com\/blog\/how-does-vector-synthesis-work\/\" target=\"_blank\" rel=\"noreferrer noopener\">How Does Vector Synthesis Work?<\/a><\/strong><br><br><strong><a href=\"https:\/\/mixxed.com\/blog\/how-does-am-synthesis-work\/\" target=\"_blank\" rel=\"noreferrer noopener\">How Does AM Synthesis Work?<\/a><\/strong><br><br><strong><a href=\"https:\/\/mixxed.com\/blog\/how-does-modular-synthesis-work\/\" target=\"_blank\" rel=\"noreferrer noopener\">How Does Modular Synthesis Work?<\/a><\/strong><br><br><strong><a href=\"https:\/\/mixxed.com\/blog\/how-does-granular-synthesis-work\/\" target=\"_blank\" rel=\"noreferrer noopener\">How Does Granular Synthesis?&nbsp;<\/a><\/strong><br><br><strong><a href=\"https:\/\/mixxed.com\/blog\/how-does-sample-based-synthesis-work\/\" target=\"_blank\" rel=\"noreferrer noopener\">How Does Sample Based Synthesis Work?<\/a><\/strong><br><br><strong><a href=\"https:\/\/mixxed.com\/blog\/define-synthesis-how-does-spectral-synthesis-work\/\" target=\"_blank\" rel=\"noreferrer noopener\">How Does Spectral Synthesis Work?<\/a><\/strong><br><br><strong><a href=\"https:\/\/mixxed.com\/blog\/define-synthesis-how-do-vocoders-work\/\" target=\"_blank\" rel=\"noreferrer noopener\">How Do Vocoders Work?<\/a><\/strong><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">What is FM Synthesis?<\/h2>\n\n\n\n<p><strong>FM synthesis<\/strong>, my dear friends, is a method of creating crazy <strong>timbres<\/strong>. As you&#8217;re curious, FM stands for frequency modulation.<\/p>\n\n\n\n<p>By <strong>modulating the frequency of one sound with another<\/strong> in softsynths such as <strong><a href=\"https:\/\/www.native-instruments.com\/en\/products\/komplete\/synths\/fm8\/\" target=\"_blank\" rel=\"noreferrer noopener\">FM8 by Native Instruments<\/a><\/strong>, we&#8217;re able to take our sound design to Mars&#8230; sorry, Elon.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mixxed.com\/blog\/wp-content\/uploads\/2021\/08\/FM8-Mixxed-Blog-1024x576.jpg\" alt=\"\" class=\"wp-image-1418 lazyload\" width=\"658\" height=\"369\" data-srcset=\"https:\/\/create.routenote.com\/blog\/wp-content\/uploads\/2021\/08\/FM8-Mixxed-Blog-1024x576.jpg 1024w, https:\/\/create.routenote.com\/blog\/wp-content\/uploads\/2021\/08\/FM8-Mixxed-Blog-300x169.jpg 300w, https:\/\/create.routenote.com\/blog\/wp-content\/uploads\/2021\/08\/FM8-Mixxed-Blog-768x432.jpg 768w, https:\/\/create.routenote.com\/blog\/wp-content\/uploads\/2021\/08\/FM8-Mixxed-Blog-1536x864.jpg 1536w, https:\/\/create.routenote.com\/blog\/wp-content\/uploads\/2021\/08\/FM8-Mixxed-Blog-2048x1152.jpg 2048w, https:\/\/create.routenote.com\/blog\/wp-content\/uploads\/2021\/08\/FM8-Mixxed-Blog-640x360.jpg 640w, https:\/\/create.routenote.com\/blog\/wp-content\/uploads\/2021\/08\/FM8-Mixxed-Blog-320x180.jpg 320w, https:\/\/create.routenote.com\/blog\/wp-content\/uploads\/2021\/08\/FM8-Mixxed-Blog-480x270.jpg 480w, https:\/\/create.routenote.com\/blog\/wp-content\/uploads\/2021\/08\/FM8-Mixxed-Blog-960x540.jpg 960w, https:\/\/create.routenote.com\/blog\/wp-content\/uploads\/2021\/08\/FM8-Mixxed-Blog-1280x720.jpg 1280w, https:\/\/create.routenote.com\/blog\/wp-content\/uploads\/2021\/08\/FM8-Mixxed-Blog-1600x900.jpg 1600w, https:\/\/create.routenote.com\/blog\/wp-content\/uploads\/2021\/08\/FM8-Mixxed-Blog-1920x1080.jpg 1920w\" sizes=\"auto\" \/><figcaption>FM8, Source: MusicRadar<\/figcaption><\/figure><\/div>\n\n\n\n<h2 class=\"wp-block-heading\">FM Synthesis Explained<\/h2>\n\n\n\n<p>Let&#8217;s take a quick detour back to when we spoke about <strong><a href=\"https:\/\/mixxed.com\/blog\/define-synthesis-how-does-subtractive-synthesis-work\/\" target=\"_blank\" rel=\"noreferrer noopener\">subtractive synthesis<\/a><\/strong>&#8230; or any synthesis, for that matter. <\/p>\n\n\n\n<p>We said the use of <strong>LFOs <\/strong>allows you to bring more movement to your sound because they bring <strong>change over time<\/strong>.<\/p>\n\n\n\n<p>The simplest form of FM synthesis is applying an LFO to the pitch of your oscillator. This gives you a vibrato effect. The speed of which is set by the <strong>rate of the LFO<\/strong> and the intensity is set by the <strong>LFO frequency<\/strong>.<\/p>\n\n\n\n<p>These processes are what happen in FM synthesis, but with some different details.<\/p>\n\n\n\n<p>If you increase the rate of the LFO to <strong>higher ratios<\/strong>, it sounds less like vibrato and closer to a new sound itself.<\/p>\n\n\n\n<p>This modulation <strong>creates timbres<\/strong> that would not have been heard before FM was born.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">FM Synthesis For Dummies<\/h2>\n\n\n\n<p>Without further ado, let&#8217;s find out what those differing details that I mentioned are.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">What Are Operators in Fm Synthesis?<\/h3>\n\n\n\n<p><strong>Operators<\/strong> are the foundations of FM synthesis.<\/p>\n\n\n\n<p>Let&#8217;s think of operators as oscillators with their very own <strong>amplitude envelopes<\/strong>. <\/p>\n\n\n\n<p>Classic FM synths such as the <strong><a href=\"https:\/\/www.pmtonline.co.uk\/yamaha-reface-dx-fm-synthesizer?gclid=CjwKCAjw0qOIBhBhEiwAyvVcf0bkryrPft-AsasDrnlazpDVs2Ckm0bqmSq-ogovq8gZTBM_BMfCnBoCO2IQAvD_BwE\" target=\"_blank\" rel=\"noreferrer noopener\">Yamaha DX7<\/a><\/strong> had a maximum of six operators. <\/p>\n\n\n\n<p>In our present-day, most FM synths have a total of four operators. Once upon a time operators could only generate <strong>sine waves<\/strong>, but this isn&#8217;t the case anymore!<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">What Are Carriers and Modulators in FM Synthesis?<\/h3>\n\n\n\n<p>For <strong>frequency modulation<\/strong> to happen, you need at least <strong>two sound sources<\/strong>. One source does the <strong>modulating<\/strong> and one source is <strong>modulated<\/strong>.<\/p>\n\n\n\n<p><strong>Operators perform both of these roles<\/strong>. Do you see why we compared them to oscillators?<\/p>\n\n\n\n<p><strong>The modulating operator is called the modulator.<\/strong><\/p>\n\n\n\n<p><strong>The modulated operator is called the carrier.<\/strong><\/p>\n\n\n\n<p>By changing the frequencies of your operators, playing with their amplitude envelopes, and messing with the <strong>arrangement<\/strong> within your patch, you can create magnificent sounds. <\/p>\n\n\n\n<p>But what do we mean by operator arrangement? <\/p>\n\n\n\n<h3 class=\"wp-block-heading\">What Are Algorithms in FM Synthesis?<\/h3>\n\n\n\n<p>What operator is modulating other operators? Are they modulating more than one operator? <\/p>\n\n\n\n<p><strong>How do I navigate this mess?<\/strong><\/p>\n\n\n\n<p>Each carrier or modulator that you connect to other operators in your patch makes a huge difference to your sound.<\/p>\n\n\n\n<p>If you felt like being a devil and wanted to feature six operators in your patch, arranging those operators would get pretty overwhelming if you didn&#8217;t know what you were doing.<\/p>\n\n\n\n<p>And that\u2019s why Yamaha decided to feature only a fixed number of operator arrangements in their DX7. These arrangements get the best results in terms of sound creation.<\/p>\n\n\n\n<p>These arrangments, my humble synthesist, are called algorithms.<\/p>\n\n\n\n<p>They seem a little complicated, but here are the basics. <strong>The bottom row of operators in any algorithm is your carriers<\/strong>. <strong>The rest are always modulators<\/strong>.<\/p>\n\n\n\n<p>If we wanted to compare carriers to oscillators, we&#8217;d see that they play a very similar role.<\/p>\n\n\n\n<div class=\"wp-block-image is-style-rounded\"><figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mixxed.com\/blog\/wp-content\/uploads\/2021\/08\/Yamaha-FM-Presets-Mixxed-Blog-1024x576.jpg\" alt=\"\" class=\"wp-image-1414 lazyload\" width=\"606\" height=\"340\" data-srcset=\"https:\/\/create.routenote.com\/blog\/wp-content\/uploads\/2021\/08\/Yamaha-FM-Presets-Mixxed-Blog-1024x576.jpg 1024w, https:\/\/create.routenote.com\/blog\/wp-content\/uploads\/2021\/08\/Yamaha-FM-Presets-Mixxed-Blog-300x169.jpg 300w, https:\/\/create.routenote.com\/blog\/wp-content\/uploads\/2021\/08\/Yamaha-FM-Presets-Mixxed-Blog-768x432.jpg 768w, https:\/\/create.routenote.com\/blog\/wp-content\/uploads\/2021\/08\/Yamaha-FM-Presets-Mixxed-Blog-1536x864.jpg 1536w, https:\/\/create.routenote.com\/blog\/wp-content\/uploads\/2021\/08\/Yamaha-FM-Presets-Mixxed-Blog-2048x1152.jpg 2048w, https:\/\/create.routenote.com\/blog\/wp-content\/uploads\/2021\/08\/Yamaha-FM-Presets-Mixxed-Blog-640x360.jpg 640w, https:\/\/create.routenote.com\/blog\/wp-content\/uploads\/2021\/08\/Yamaha-FM-Presets-Mixxed-Blog-320x180.jpg 320w, https:\/\/create.routenote.com\/blog\/wp-content\/uploads\/2021\/08\/Yamaha-FM-Presets-Mixxed-Blog-480x270.jpg 480w, https:\/\/create.routenote.com\/blog\/wp-content\/uploads\/2021\/08\/Yamaha-FM-Presets-Mixxed-Blog-960x540.jpg 960w, https:\/\/create.routenote.com\/blog\/wp-content\/uploads\/2021\/08\/Yamaha-FM-Presets-Mixxed-Blog-1280x720.jpg 1280w, https:\/\/create.routenote.com\/blog\/wp-content\/uploads\/2021\/08\/Yamaha-FM-Presets-Mixxed-Blog-1600x900.jpg 1600w, https:\/\/create.routenote.com\/blog\/wp-content\/uploads\/2021\/08\/Yamaha-FM-Presets-Mixxed-Blog-1920x1080.jpg 1920w\" sizes=\"auto\" \/><figcaption>Yamaha Operator Presets, Credit: Landr.com<\/figcaption><\/figure><\/div>\n\n\n\n<p>In example 5, both carriers (the bottom operators) have one operator modulating each of them.<\/p>\n\n\n\n<p>If you were to set these modulators to different frequencies, they will create two very radical timbres.<\/p>\n\n\n\n<p>If you are changing the level of each carrier, the <strong>blend of timbres<\/strong> will be adjusted in the same way that mixing two oscillators together worked in our previous examples.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">What Are Operator Envelopes?<\/h3>\n\n\n\n<p>Like with oscillators, if your operators had no change over time&#8230; well, you&#8217;d get bored.<\/p>\n\n\n\n<p>Like we said before, FM synthesis also uses <strong>envelopes<\/strong> &#8211; just lots more! <strong>Each operator has its own amplitude envelope<\/strong>.<\/p>\n\n\n\n<p><strong>The envelopes work just like they do in subtractive synthesis on carrier operators.<\/strong><\/p>\n\n\n\n<p>Modulator operators, however, use envelopes too. This opens the door to some very complex sounds because you can edit the amplitude of the modulating frequency.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">What is FM Synthesis Good For?<\/h2>\n\n\n\n<p>We&#8217;re glad you asked!<\/p>\n\n\n\n<p>The answer is <strong>complex, harmonic, sounds<\/strong>.<\/p>\n\n\n\n<p>The way to do that is by using <strong>high ratio modulator frequencies<\/strong>.<\/p>\n\n\n\n<p>Your modulator frequency\/<strong>rate <\/strong>will often be a multiple of the carrier frequency because this makes it easier for you to predict what kind of sound you\u2019re about to create.<\/p>\n\n\n\n<p>If you used a <strong>1:1 ratio<\/strong> for the modulator frequency and that travels into the carrier operator, this will produce a sound with a little bit of harmonic content.<\/p>\n\n\n\n<p>A <strong>2:1 ratio<\/strong>, however, <strong>will produce more complex tones<\/strong>. The same principle can be applied for any ratio.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mixxed.com\/blog\/wp-content\/uploads\/2021\/08\/FM-Synthesis-Example-1024x576.jpg\" alt=\"\" class=\"wp-image-1421 lazyload\" width=\"704\" height=\"395\" data-srcset=\"https:\/\/create.routenote.com\/blog\/wp-content\/uploads\/2021\/08\/FM-Synthesis-Example-1024x576.jpg 1024w, https:\/\/create.routenote.com\/blog\/wp-content\/uploads\/2021\/08\/FM-Synthesis-Example-300x169.jpg 300w, https:\/\/create.routenote.com\/blog\/wp-content\/uploads\/2021\/08\/FM-Synthesis-Example-768x432.jpg 768w, https:\/\/create.routenote.com\/blog\/wp-content\/uploads\/2021\/08\/FM-Synthesis-Example-1536x864.jpg 1536w, https:\/\/create.routenote.com\/blog\/wp-content\/uploads\/2021\/08\/FM-Synthesis-Example-2048x1152.jpg 2048w, https:\/\/create.routenote.com\/blog\/wp-content\/uploads\/2021\/08\/FM-Synthesis-Example-640x360.jpg 640w, https:\/\/create.routenote.com\/blog\/wp-content\/uploads\/2021\/08\/FM-Synthesis-Example-320x180.jpg 320w, https:\/\/create.routenote.com\/blog\/wp-content\/uploads\/2021\/08\/FM-Synthesis-Example-480x270.jpg 480w, https:\/\/create.routenote.com\/blog\/wp-content\/uploads\/2021\/08\/FM-Synthesis-Example-960x540.jpg 960w, https:\/\/create.routenote.com\/blog\/wp-content\/uploads\/2021\/08\/FM-Synthesis-Example-1280x720.jpg 1280w, https:\/\/create.routenote.com\/blog\/wp-content\/uploads\/2021\/08\/FM-Synthesis-Example-1600x900.jpg 1600w, https:\/\/create.routenote.com\/blog\/wp-content\/uploads\/2021\/08\/FM-Synthesis-Example-1920x1080.jpg 1920w\" sizes=\"auto\" \/><figcaption>FM Synthesis Example, Source: TIGSource Forums<\/figcaption><\/figure><\/div>\n\n\n\n<h2 class=\"wp-block-heading\">Guide to FM Synthesis: Operator Feedback<\/h2>\n\n\n\n<p>Homies, we&#8217;re almost there. This has been a hell of a journey, my noble adventurers.<\/p>\n\n\n\n<p>The last stop on our FM synthesis road trip is <strong>operator feedback<\/strong>.<\/p>\n\n\n\n<p>Feedback isn&#8217;t a need to know topic. However, having it in mind will allow you to understand this method of synthesis all the more.<\/p>\n\n\n\n<p>This isn&#8217;t an exact definition, but <strong>feedback makes the operator frequency become its own modulator signal<\/strong>.<\/p>\n\n\n\n<p>This allows feedback to become another way to build <strong>harmonically rich waveforms<\/strong> from your operators. By turning up the feedback, the waveform <strong>morphs<\/strong> even more!<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Sound Applications For FM Synthesis <\/h2>\n\n\n\n<p>To add to the sound applications of <strong><a href=\"https:\/\/mixxed.com\/blog\/define-synthesis-how-does-subtractive-synthesis-work\/\" target=\"_blank\" rel=\"noreferrer noopener\">subtractive<\/a><\/strong> and <strong><a href=\"https:\/\/mixxed.com\/blog\/how-does-additive-synthesis-work\/\" target=\"_blank\" rel=\"noreferrer noopener\">additive<\/a><\/strong> synthesis, FM synthesis will enrich your track in multiple ways.<\/p>\n\n\n\n<p>FM synthesis is fantastic for aggressive, punchy, <strong>bass sounds<\/strong> &#8211; or on the flip side, it&#8217;s great for <strong>slick pads<\/strong>! <\/p>\n\n\n\n<p>FM, as well as additive, synthesis is great for <strong>plucked string sounds<\/strong>. What&#8217;s more is FM&#8217;s capability for harsh, <strong>harmonically rich<\/strong> sounds too! That&#8217;s not even mentioning its functionality when it comes to long attack instruments such as <strong>electric pianos<\/strong>!<\/p>\n","protected":false},"excerpt":{"rendered":"<p>It&#8217;s Time For Another Round of Synthesis! Ladies &amp; gents, dogs &amp; cats. You&#8217;ve masterfully composed the beginnings of your new track with Mixxed samples &amp; want to spice up your pot with interesting sounds. We&#8217;re taking the world of sound design by storm. This time, we&#8217;re covering how to do FM synthesis. What&#8217;s FM synthesis, I hear you ask? Only one of the coolest things to happen to humans. Here&#8217;s how FM synthesis works. If you&#8217;re new to synthesis, we&#8217;ve written a couple of other articles that will make this article easier for you to understand. Define Synthesis Series&#8230;<\/p>\n","protected":false},"author":3,"featured_media":1414,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[20,19,323],"tags":[376,378,374,375,261,377],"class_list":["post-1411","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-community","category-music-creation-tools","category-tutorial","tag-guide-to-fm-synthesis","tag-how-to-do-fm-synthesis","tag-how-to-fm-synthesis","tag-how-to-learn-fm-synthesis","tag-mixxed-com","tag-whats-fm-syntheis"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v20.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Define Synthesis: How Does FM Synthesis Work? - RouteNote Create Blog<\/title>\n<meta name=\"description\" content=\"We&#039;re exploring FM synthesis, operators, modulators, carriers and algorithms. 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