{"id":40,"date":"2019-05-06T08:50:44","date_gmt":"2019-05-06T08:50:44","guid":{"rendered":"http:\/\/eleniralli.com\/?page_id=40"},"modified":"2020-03-22T11:59:40","modified_gmt":"2020-03-22T11:59:40","slug":"websites","status":"publish","type":"page","link":"https:\/\/eleniralli.com\/?page_id=40","title":{"rendered":"Websites"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">Caspar Johannes Walter &#8211; Publications<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>\u201cVariants of continued fraction\nalgorithms and their relationship to the fraction windowing algorithm for\nmodeling the sounding pitches of multiphonics on piano strings\u201d<\/strong><\/h3>\n\n\n\n<p>Freiburg,\nAugust 2019<sup><a href=\"https:\/\/www.casparjohanneswalter.de\/#fn-1\">1<\/a><\/sup><\/p>\n\n\n\n<p>Translation,\nCarter Williams<\/p>\n\n\n\n<h6 class=\"wp-block-heading\">ABSTRACT<\/h6>\n\n\n\n<p>In order\nto calculate the frequency components of so-called pure multiphonics\n(multiphonics consisting of harmonic partials of the fundamental) on vibrating\nstrings, I developed my fraction windowing algorithm. This article discusses in\ndetail how the fraction windowing algorithm works and its relationship to the\nclosely related mathematical concept of a continued fraction. Ten variants of\ncontinued fraction algorithms are characterized and compared to the fraction\nwindowing algorithm. At the end of the article, I summarize other general\nobservations I made during my studies of continued fractions types.<\/p>\n\n\n\n<p>Online frei zug\u00e4nglich unter:<a href=\"https:\/\/www.casparjohanneswalter.de\/texts\/fraction_windowing\">https:\/\/www.casparjohanneswalter.de\/texts\/fraction_windowing<\/a><\/p>\n\n\n\n<p>Eine Stimmung nach Harry Partch f\u00fcr das\nArciorgano findet sich unter: <a href=\"https:\/\/www.casparjohanneswalter.de\/research\/arciorgano_player\">https:\/\/www.casparjohanneswalter.de\/research\/arciorgano_player<\/a><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u201cMeantone Circles (2016)<\/h3>\n\n\n\n<p><strong>Models for systematical structures of meantone and other tunings\u201d<\/strong><\/p>\n\n\n\n<p>Online frei zug\u00e4nglich unter:<a href=\"https:\/\/www.casparjohanneswalter.de\/texts\/meantone_circles\">https:\/\/www.casparjohanneswalter.de\/texts\/meantone_circles<\/a><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">&nbsp;<\/h3>\n\n\n\n<h3 class=\"wp-block-heading\">\u201cFingerprints of meantone and other tunings (2016)\u201d<\/h3>\n\n\n\n<p>Online frei zug\u00e4nglich unter:<a href=\"https:\/\/www.casparjohanneswalter.de\/texts\/meantone_fingerprints\">https:\/\/www.casparjohanneswalter.de\/texts\/meantone_fingerprints<\/a><\/p>\n\n\n\n<p><strong>\u201cThe Huygens-Fokker list of intervals,&nbsp;<\/strong><\/p>\n\n\n\n<p><strong>sorted by size and analyzed for configuration of primes (2017)\u201d<\/strong><\/p>\n\n\n\n<p>Online frei zug\u00e4nglich unter:<a href=\"https:\/\/www.casparjohanneswalter.de\/texts\/list_of_intervals\">https:\/\/www.casparjohanneswalter.de\/texts\/list_of_intervals<\/a><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Other Websites<\/h2>\n\n\n\n<p>McLaren,\nBob (no date): The Evolution of Harry Partch\u2019s Tuning System.<a href=\"http:\/\/www.tonalsoft.com\/sonic-arts\/mclaren\/partch\/evolution.htm\">http:\/\/www.tonalsoft.com\/sonic-arts\/mclaren\/partch\/evolution.htm<\/a>\n(retrieved October 17, 2017)<\/p>\n\n\n\n<p>American\nMavericks Harry Partch Instruments.<a href=\"http:\/\/musicmavericks.publicradio.org\/features\/feature_partch.html\">http:\/\/musicmavericks.publicradio.org\/features\/feature_partch.html<\/a>\n(retrieved October 17, 2017)<\/p>\n\n\n\n<p>Ellis,\nAlexander John (1885): <em>On\nthe musical scales of various nations<\/em>.<a href=\"http:\/\/catalog.hathitrust.org\/api\/volumes\/oclc\/44742170.html\">http:\/\/catalog.hathitrust.org\/api\/volumes\/oclc\/44742170.html<\/a>\n(retrieved October 17, 2017)<\/p>\n\n\n\n<p>De Pue,&nbsp;Joanne&nbsp;(2014): \u201cHarry Partch Instrumentarium takes\nup residency at UW\u201d <em>in School of Music University<\/em><em>&nbsp;of Washington, <\/em>Washington.<a href=\"https:\/\/music.washington.edu\/news\/2014\/11\/20\/harry-partch-instrumentarium-takes-residency-uw\">https:\/\/music.washington.edu\/news\/2014\/11\/20\/harry-partch-instrumentarium-takes-residency-uw<\/a> (retrieved October 17, 2017)<\/p>\n\n\n\n<p>Kozinn, Allan (1991):\n\u201cSome Offbeat Instruments Move to New York\u201d in <em>New York Times, <\/em>New York. <a href=\"http:\/\/www.nytimes.com\/1991\/07\/31\/arts\/some-offbeat-instruments-move-to-new-york.html\">http:\/\/www.nytimes.com\/1991\/07\/31\/arts\/some-offbeat-instruments-move-to-new-york.html<\/a> (retrieved October 17,\n2017)<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Caspar Johannes Walter &#8211; Publications \u201cVariants of continued fraction algorithms and their relationship to the fraction windowing algorithm for modeling the sounding pitches of multiphonics on piano strings\u201d Freiburg, August 20191 Translation, Carter Williams ABSTRACT In order to calculate the frequency components of so-called pure multiphonics (multiphonics consisting of harmonic&hellip;<\/p>\n","protected":false},"author":2,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"ngg_post_thumbnail":0,"jetpack_post_was_ever_published":false,"footnotes":""},"class_list":["post-40","page","type-page","status-publish","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.0 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Websites - eleniralli<\/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:\/\/eleniralli.com\/?page_id=40\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Websites - eleniralli\" \/>\n<meta property=\"og:description\" content=\"Caspar Johannes Walter &#8211; 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