{"id":18640,"date":"2015-03-23T12:46:34","date_gmt":"2015-03-23T16:46:34","guid":{"rendered":"https:\/\/reactivemusic.net\/?p=18640"},"modified":"2015-03-23T23:47:30","modified_gmt":"2015-03-24T03:47:30","slug":"12th-root-of-2","status":"publish","type":"post","link":"https:\/\/reactivemusic.net\/?p=18640","title":{"rendered":"12th root of 2"},"content":{"rendered":"

The note relationships in a chromatic scale are based on the 12th root of 2.<\/p>\n

An octave has a ratio of 2. An octave is divided into 12 equal steps.<\/p>\n

For example, to find the ratio of one semi-tone (half step), on a scientific calculator, use this button:<\/p>\n

\"Screen<\/a><\/p>\n

Here’s the result where x = 2 and y = 12<\/p>\n

\"Screen<\/a><\/p>\n

In a computer program, you could use the pow() function calculate 2 to the 1\/12 power. Here’s an example in javascript:<\/p>\n

\"Screen<\/a><\/p>\n

This Max patch shows the relationships between any two notes and how to calculate the pitch of a note based on the semi-tone interval. You might use it as a starting point to design your own scales. For example, a 13 note chromatic scale. \u00a0Or relationships based on randomness.<\/p>\n

\"Screen<\/a><\/p>\n

Download<\/h4>\n

https:\/\/github.com\/tkzic\/max-projects\u00a0<\/a><\/p>\n

folder: 12throotof2<\/p>\n

patch: 12throotof2.maxpat<\/p>\n","protected":false},"excerpt":{"rendered":"

The note relationships in a chromatic scale are based on the 12th root of 2. An octave has a ratio of 2. An octave is divided into 12 equal steps. For example, to find the ratio of one semi-tone (half step), on a scientific calculator, use this button: Here’s the result where x = 2 … <\/p>\n

Continue reading “12th root of 2”<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_coblocks_attr":"","_coblocks_dimensions":"","_coblocks_responsive_height":"","_coblocks_accordion_ie_support":"","footnotes":""},"categories":[142,273],"tags":[257,345,50],"class_list":["post-18640","post","type-post","status-publish","format-standard","hentry","category-ideas","category-max-projects","tag-math","tag-maxmsp","tag-music-theory"],"yoast_head":"\n12th root of 2 - reactive music<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/reactivemusic.net\/?p=18640\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"12th root of 2 - reactive music\" \/>\n<meta property=\"og:description\" content=\"The note relationships in a chromatic scale are based on the 12th root of 2. An octave has a ratio of 2. An octave is divided into 12 equal steps. 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