{"id":111,"date":"2013-03-04T15:20:43","date_gmt":"2013-03-04T13:20:43","guid":{"rendered":"http:\/\/ozanyarman.com\/wpress\/?p=111"},"modified":"2014-01-14T21:38:58","modified_gmt":"2014-01-14T19:38:58","slug":"holder-kommas%c4%b1","status":"publish","type":"post","link":"https:\/\/ozanyarman.com\/wpress\/2013\/03\/holder-kommas%c4%b1\/","title":{"rendered":"Holder kommas\u0131"},"content":{"rendered":"<p><em>Holder kommas\u0131<\/em>, oktav\u0131n 53. k\u00f6k\u00fc de\u011ferinde bir\u00a0<em>ba\u011f\u0131l frekansa<\/em>\u00a0sahip aral\u0131k birimidir. Di\u011fer bir deyi\u015fle, oktav\u0131n logaritmik 53 e\u015fit par\u00e7aya taksim edilmesiyle ortaya \u00e7\u0131kar:<\/p>\n<p>53\u221a2=\u00a0e (<em>ln<\/em>(2)\/53)\u00a0=\u00a0<strong>1.01316\u00a0<em>Hz<\/em>\u00a0(1200\/53 =\u00a0<\/strong>22.64151\u00a0<em>sent<\/em>)<\/p>\n<p><strong>&#8220;Holder kommas\u0131 sistemi<\/strong>&#8221; yahut Alexander J. Ellis&#8217;e g\u00f6re &#8220;<strong>Mercator devri<\/strong>&#8220;, m\u00fckemmele yak\u0131n saf be\u015fli aral\u0131\u011f\u0131 ihtiva eden bir\u00a0<em>temperamand\u0131r<\/em>:<\/p>\n<p>(1200\/53) * 31 = 701.88679 sent<\/p>\n<p>Mercator devrinin be\u015flisi ile saf be\u015fli aras\u0131nda\u00a0<strong>Mercator kommas\u0131n\u0131n<\/strong>\u00a053&#8217;te biri kadar, yani insan kula\u011f\u0131n\u0131n alg\u0131layamayaca\u011f\u0131 bir fark vard\u0131r:<\/p>\n<p>(<em>log<\/em>\u00a01.5) * 1200\/(<em>log<\/em>\u00a02) = 701.955 sent<\/p>\n<p>701.95500 &#8211; 701.88679 =<\/p>\n<p>53\u221a((353)\/(284))\u00a0<strong>=\u00a0<\/strong>53\u221a1.00209\u00a0= 0.06821 sent<\/p>\n<p>Mercator kommas\u0131n\u0131n 53&#8217;te biri kadar tempere edilmi\u015f be\u015fliler \u00fcst \u00fcste bindirildi\u011finde 54. ad\u0131mda ba\u015flan\u0131lan noktaya (oktav fark\u0131yla) d\u00f6n\u00fcl\u00fcr (Bkz.\u00a0<strong>53-ton_E\u015fit_Taksimat<\/strong>).<\/p>\n<p>Marin Mersenne&#8217;in 1637 y\u0131l\u0131nda bildirdi\u011fine g\u00f6re, bu aral\u0131k birimini Bat\u0131&#8217;da ilk ke\u015ffeden Bel\u00e7ikal\u0131 M\u00fchendis Jean Galle&#8217;dir. 1660&#8217;ta Nicolaus Mercator taraf\u0131ndan yukar\u0131daki kesin matematiksel tarifi verilmi\u015ftir. Daha sonra, Isaac Newton&#8217;un yay\u0131nlanmam\u0131\u015f 1664-65 tarihli risalelerinde ve William Holder&#8217;in 1684 tarihli m\u00fczik teorisi kitab\u0131nda, &#8220;Mercator devrinden&#8221; s\u00f6zedildi\u011fi g\u00f6r\u00fcl\u00fcr.<\/p>\n<p>Holder kommas\u0131na Y\u0131lmaz Uysal &#8220;uygun&#8221;, Mildan Niyazi Ayomak ise &#8220;minik&#8221; der. Mercator kommas\u0131yla kar\u0131\u015ft\u0131r\u0131lmamas\u0131 ve 17. Y\u00fczy\u0131l Avrupas\u0131 ile irtibatland\u0131r\u0131lmas\u0131 bak\u0131m\u0131ndan, Holder kommas\u0131 tabiri daha do\u011frudur.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Holder kommas\u0131, oktav\u0131n 53. k\u00f6k\u00fc de\u011ferinde bir\u00a0ba\u011f\u0131l frekansa\u00a0sahip aral\u0131k birimidir. Di\u011fer bir deyi\u015fle, oktav\u0131n logaritmik 53 e\u015fit par\u00e7aya taksim edilmesiyle ortaya \u00e7\u0131kar: 53\u221a2=\u00a0e (ln(2)\/53)\u00a0=\u00a01.01316\u00a0Hz\u00a0(1200\/53 =\u00a022.64151\u00a0sent) &#8220;Holder kommas\u0131 sistemi&#8221; yahut Alexander J. Ellis&#8217;e g\u00f6re &#8220;Mercator devri&#8220;, m\u00fckemmele yak\u0131n saf be\u015fli aral\u0131\u011f\u0131 &hellip; <a href=\"https:\/\/ozanyarman.com\/wpress\/2013\/03\/holder-kommas%c4%b1\/\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":true,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5],"tags":[],"class_list":["post-111","post","type-post","status-publish","format-standard","hentry","category-tuning-maqam-theory"],"_links":{"self":[{"href":"https:\/\/ozanyarman.com\/wpress\/wp-json\/wp\/v2\/posts\/111","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ozanyarman.com\/wpress\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ozanyarman.com\/wpress\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ozanyarman.com\/wpress\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/ozanyarman.com\/wpress\/wp-json\/wp\/v2\/comments?post=111"}],"version-history":[{"count":4,"href":"https:\/\/ozanyarman.com\/wpress\/wp-json\/wp\/v2\/posts\/111\/revisions"}],"predecessor-version":[{"id":166,"href":"https:\/\/ozanyarman.com\/wpress\/wp-json\/wp\/v2\/posts\/111\/revisions\/166"}],"wp:attachment":[{"href":"https:\/\/ozanyarman.com\/wpress\/wp-json\/wp\/v2\/media?parent=111"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ozanyarman.com\/wpress\/wp-json\/wp\/v2\/categories?post=111"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ozanyarman.com\/wpress\/wp-json\/wp\/v2\/tags?post=111"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}