{"id":140,"date":"2016-02-06T12:15:55","date_gmt":"2016-02-06T12:15:55","guid":{"rendered":"http:\/\/www.rangakrish.com\/?p=140"},"modified":"2016-02-06T12:25:12","modified_gmt":"2016-02-06T12:25:12","slug":"organum-in-music","status":"publish","type":"post","link":"https:\/\/www.rangakrish.com\/index.php\/2016\/02\/06\/organum-in-music\/","title":{"rendered":"Organum in Music"},"content":{"rendered":"

When two or more voices in a song follow the same rhythm and move by the same interval, thus causing a parallel motion of the voices, it is referred to as Organum<\/strong><\/em>. Depending on the intervals between the voices, this can give rise to a rich and interesting effect.<\/p>\n

For today\u2019s experiment, I decided to create an organum example in Opusmodus<\/a> software. I chose the song Mary had a little lamb…<\/strong><\/em><\/p>\n

First, let us see the MusicXML rendering of the song in a single voice:<\/p>\n

\"Single<\/a>
Single voice<\/figcaption><\/figure>\n

Next, the same song is played in three voices – Base (as given), a Major 3rd below and a Perfect 5th below the base. Here is the changed rendering:<\/p>\n

\"Three<\/a>
Three voices<\/figcaption><\/figure>\n

Creating this in Opusmodus is straightforward. The base pitches are transposed by the required interval to get new pitches. The code is shown below.<\/p>\n

\"Opusmodus<\/a>
Opusmodus code<\/figcaption><\/figure>\n

Here<\/a> is the corresponding MIDI output. Here<\/a> is the source code.<\/p>\n

Enjoy!<\/p>\n","protected":false},"excerpt":{"rendered":"

When two or more voices in a song follow the same rhythm and move by the same interval, thus causing a parallel motion of the voices, it is referred to as Organum. Depending on the intervals between the voices, this can give rise to a rich and interesting effect. For today\u2019s experiment, I decided to […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"advanced_seo_description":"","jetpack_seo_html_title":"","jetpack_seo_noindex":false,"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":false,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[18,5,17],"tags":[37,40],"class_list":["post-140","post","type-post","status-publish","format-standard","hentry","category-lisp","category-music","category-programming","tag-opusmodus","tag-organum"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p9OLnF-2g","jetpack-related-posts":[{"id":2206,"url":"https:\/\/www.rangakrish.com\/index.php\/2020\/11\/22\/a-library-for-algorithmic-music-composition\/","url_meta":{"origin":140,"position":0},"title":"A Library for Algorithmic Music Composition","author":"admin","date":"November 22, 2020","format":false,"excerpt":"I have recently started implementing a library for algorithmic music composition. It provides higher-level algorithms and abstractions for composing multi-track music, and works with Opusmodus\u00a0software. Opusmodus is a great platform for music composition and has excellent support for MIDI-based music. My library is an attempt to enrich the Opusmodus platform\u2026","rel":"","context":"In "LISP"","block_context":{"text":"LISP","link":"https:\/\/www.rangakrish.com\/index.php\/category\/lisp\/"},"img":{"alt_text":"App for Controlling Opusmodus","src":"https:\/\/i0.wp.com\/www.rangakrish.com\/wp-content\/uploads\/2020\/11\/Screen1-300x139.jpg?resize=350%2C200&ssl=1","width":350,"height":200},"classes":[]},{"id":2174,"url":"https:\/\/www.rangakrish.com\/index.php\/2020\/10\/24\/using-random-walk-principle-to-generate-music\/","url_meta":{"origin":140,"position":1},"title":"Using Random Walk Principle to Generate Music","author":"admin","date":"October 24, 2020","format":false,"excerpt":"In mathematics, the simplest example of Random Walk\u00a0is a random process along a one-dimensional plane of integers, starting at 0 and moving in the positive or negative direction in steps of +1 or -1, with equal probability. The Random Walk\u00a0theory has been applied in many domains including Physics and even\u2026","rel":"","context":"In "LISP"","block_context":{"text":"LISP","link":"https:\/\/www.rangakrish.com\/index.php\/category\/lisp\/"},"img":{"alt_text":"Random Walk Example in Mathematica","src":"https:\/\/i0.wp.com\/www.rangakrish.com\/wp-content\/uploads\/2020\/10\/Mathematica-RandomWalk-300x135.png?resize=350%2C200&ssl=1","width":350,"height":200},"classes":[]},{"id":2242,"url":"https:\/\/www.rangakrish.com\/index.php\/2020\/12\/20\/jfugue-a-java-library-for-music-synthesis\/","url_meta":{"origin":140,"position":2},"title":"JFugue: A Java Library for Music Synthesis","author":"admin","date":"December 20, 2020","format":false,"excerpt":"JFugue\u00a0is an open-source Java library that can be used for algorithmic music composition. Developed by David Koelle, currently it is in its fifth major version. You can get the library from here. I had downloaded the library some time ago, but could not spend much time since my primary focus\u2026","rel":"","context":"In "LISP"","block_context":{"text":"LISP","link":"https:\/\/www.rangakrish.com\/index.php\/category\/lisp\/"},"img":{"alt_text":"Simple Java Program","src":"https:\/\/i0.wp.com\/www.rangakrish.com\/wp-content\/uploads\/2020\/12\/java-2-300x142.jpg?resize=350%2C200&ssl=1","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/www.rangakrish.com\/wp-content\/uploads\/2020\/12\/java-2-300x142.jpg?resize=350%2C200&ssl=1 1x, https:\/\/i0.wp.com\/www.rangakrish.com\/wp-content\/uploads\/2020\/12\/java-2-300x142.jpg?resize=525%2C300&ssl=1 1.5x"},"classes":[]},{"id":159,"url":"https:\/\/www.rangakrish.com\/index.php\/2016\/02\/28\/using-cellular-automata-to-generate-music\/","url_meta":{"origin":140,"position":3},"title":"Using Cellular Automata to Generate Music","author":"admin","date":"February 28, 2016","format":false,"excerpt":"Cellular automata are a powerful computational formalism. Stephen Wolfram\u2019s book A New Kind of Science\u00a0provides a thorough study of these devices. Not surprisingly,\u00a0Wolfram Mathematica has great support for working with them. For example, the following figure shows the evolution of Rule 30 over 50 steps, plotted using ArrayPlot function (in\u2026","rel":"","context":"In "LISP"","block_context":{"text":"LISP","link":"https:\/\/www.rangakrish.com\/index.php\/category\/lisp\/"},"img":{"alt_text":"Cellular Automata","src":"https:\/\/i0.wp.com\/www.rangakrish.com\/wp-content\/uploads\/2016\/02\/Cellular-Automata.png?resize=350%2C200","width":350,"height":200},"classes":[]},{"id":1501,"url":"https:\/\/www.rangakrish.com\/index.php\/2019\/03\/20\/controlling-reaktor-from-opusmodus-using-osc\/","url_meta":{"origin":140,"position":4},"title":"Controlling Reaktor from Opusmodus Using OSC","author":"admin","date":"March 20, 2019","format":false,"excerpt":"I am a great fan of Opusmodus\u00a0software. I have written many articles about it in the past. Owing to my several other commitments, I am not able to spend much time on it these days, but I keep checking the features in new releases regularly. The software has evolved substantially\u2026","rel":"","context":"In "LISP"","block_context":{"text":"LISP","link":"https:\/\/www.rangakrish.com\/index.php\/category\/lisp\/"},"img":{"alt_text":"A Simple Sine Oscillator","src":"https:\/\/i0.wp.com\/www.rangakrish.com\/wp-content\/uploads\/2019\/03\/Reaktor-1-1.png?resize=350%2C200&ssl=1","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/www.rangakrish.com\/wp-content\/uploads\/2019\/03\/Reaktor-1-1.png?resize=350%2C200&ssl=1 1x, https:\/\/i0.wp.com\/www.rangakrish.com\/wp-content\/uploads\/2019\/03\/Reaktor-1-1.png?resize=525%2C300&ssl=1 1.5x, https:\/\/i0.wp.com\/www.rangakrish.com\/wp-content\/uploads\/2019\/03\/Reaktor-1-1.png?resize=700%2C400&ssl=1 2x"},"classes":[]},{"id":169,"url":"https:\/\/www.rangakrish.com\/index.php\/2016\/03\/04\/a-gui-front-end-for-cellular-automata-generator\/","url_meta":{"origin":140,"position":5},"title":"A GUI Front-end for Cellular Automata Generator","author":"admin","date":"March 4, 2016","format":false,"excerpt":"In my last post, I explained how we can use Cellular Automata (CA) in Opusmodus\u00a0to create music. For today\u2019s post, I wanted to build a simple UI to control the parameters used in the CA example. This posed a practical difficulty. Opusmodus does not yet provide a GUI library. Even\u2026","rel":"","context":"In "LISP"","block_context":{"text":"LISP","link":"https:\/\/www.rangakrish.com\/index.php\/category\/lisp\/"},"img":{"alt_text":"Opusmodus GUI Driver","src":"https:\/\/i0.wp.com\/www.rangakrish.com\/wp-content\/uploads\/2016\/03\/Opusmodus-Driver.png?resize=350%2C200","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/www.rangakrish.com\/wp-content\/uploads\/2016\/03\/Opusmodus-Driver.png?resize=350%2C200 1x, https:\/\/i0.wp.com\/www.rangakrish.com\/wp-content\/uploads\/2016\/03\/Opusmodus-Driver.png?resize=525%2C300 1.5x"},"classes":[]}],"_links":{"self":[{"href":"https:\/\/www.rangakrish.com\/index.php\/wp-json\/wp\/v2\/posts\/140","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.rangakrish.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.rangakrish.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.rangakrish.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.rangakrish.com\/index.php\/wp-json\/wp\/v2\/comments?post=140"}],"version-history":[{"count":0,"href":"https:\/\/www.rangakrish.com\/index.php\/wp-json\/wp\/v2\/posts\/140\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.rangakrish.com\/index.php\/wp-json\/wp\/v2\/media?parent=140"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.rangakrish.com\/index.php\/wp-json\/wp\/v2\/categories?post=140"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.rangakrish.com\/index.php\/wp-json\/wp\/v2\/tags?post=140"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}