{"id":119,"date":"2013-03-04T15:25:57","date_gmt":"2013-03-04T13:25:57","guid":{"rendered":"http:\/\/ozanyarman.com\/wpress\/?p=119"},"modified":"2018-01-09T02:48:42","modified_gmt":"2018-01-08T23:48:42","slug":"119","status":"publish","type":"post","link":"https:\/\/ozanyarman.com\/wpress\/2013\/03\/119\/","title":{"rendered":"Kanunda mandallar"},"content":{"rendered":"

T\u00fcrkiye’de kanun yap\u0131mc\u0131lar\u0131, Bat\u0131’dan ithal edilen akort ayg\u0131tlar\u0131n\u0131 referans alarak, mandal tahtas\u0131nda\u00a0nat\u00fcrel mandallar\u0131\u00a0<\/em>yast\u0131k mandallardan<\/em>\u00a0(e\u015fikten) 100 sent uza\u011fa yerle\u015ftirip, aray\u0131 6 e\u015fit par\u00e7aya b\u00f6lerler<\/strong>. Bunun sonucunda, pratik\u00e7e\u00a072-ton E\u015fit Taksimata<\/em>\u00a0var\u0131lm\u0131\u015f olur. Lakin, 72-tET’in b\u00fct\u00fcn perdeleri kullan\u0131lmaz, sadece bir alt-k\u00fcmeye yak\u0131nsan\u0131r.<\/p>\n

72-tET’te en k\u00fc\u00e7\u00fck aral\u0131k 16.7 senttir.\u00a0Holder kommas\u0131<\/em>\u00a022.6 sentti. Aradaki fark 6 senttir. \u015eu da var ki, 53-tET perdeleri ile 72-tET perdeleri aras\u0131nda yer yer yar\u0131m Holder kommas\u0131n\u0131 bulan farklar vard\u0131r. Di\u011fer bir deyi\u015fle, bu iki sistem birbirleriyle tamamen uyumsuzdur.<\/p>\n

Baz\u0131 hallerde,\u00a0nat\u00fcrel mandal<\/em>\u00a0ile\u00a0yast\u0131k mandal<\/em>\u00a0aras\u0131n\u0131n alt\u0131 yerine 5’e yahut 7’ye b\u00f6l\u00fcnd\u00fc\u011f\u00fc olur. Yar\u0131m-ses aral\u0131\u011f\u0131 100 sent olarak belirlendikten sonra, b\u00f6lme i\u015flemleri hep 12-tET’in katlar\u0131n\u0131 verir. Nitekim, 5’e b\u00f6lmekle 60-tET, 7’ye b\u00f6lmekle 84-tET ortaya \u00e7\u0131kar.<\/p>\n

72-tET,\u00a013-limite<\/em>\u00a0kadar \u00e7ok iyi sonu\u00e7 veren, baz\u0131 Bat\u0131l\u0131 mikrotonalistlerce standart kabul edilmi\u015f istisnai bir b\u00f6l\u00fcnmedir. S\u00f6zgelimi,\u00a0Rast<\/em>\u00a0ve\u00a0Segah<\/em>\u00a0makamlar\u0131n\u0131n 3-limitli\u00a0AEU<\/em>\u00a0segah\u0131n\u0131<\/em>\u00a0\u00e7ok iyi kar\u015f\u0131lar (rast<\/em>\u00a0perdesine g\u00f6re\u00a0segah<\/em>\u00a072-tET’te 383 sent uzaktad\u0131r). Bu ses-d\u00fczeninin kanun imalat\u00e7\u0131lar\u0131m\u0131zca, hangi yolla olursa olsun, ke\u015ffedilip tatbik edilmi\u015f\u009f olmas\u0131 \u00e7arp\u0131c\u0131d\u0131r.<\/p>\n

<\/a>Logaritmik-aritmetik b\u00f6lme i\u015flemi<\/strong><\/h2>\n

100 sentin\u00a0ba\u011f\u0131l frekans\u0131<\/em>\u00a0= 2^(100\/1200) = 1.059463094359295 Hz’tir. Yast\u0131k mandalda a\u00e7\u0131k telin ba\u011f\u0131l frekans\u0131 1 idi. Aradaki fark 0.059463094359295 Hz’tir. Bu de\u011fer 6 e\u015fit par\u00e7aya taksim edilirse, 0.009910515726549 Hz \u00e7\u0131kar. Demek ki, yast\u0131k mandaldan nat\u00fcrel mandala do\u011fru aritmetik b\u00f6l\u00fcnme sonucu ba\u011f\u0131l frekanslar \u015f\u00f6yle olacakt\u0131r:<\/p>\n

1
\n1+0.009910515726549
\n1+(0.009910515726549*2)
\n1+(0.009910515726549*3)
\n1+(0.009910515726549*4)
\n1+(0.009910515726549*5)
\n1+(0.009910515726549*6)<\/p>\n

Yani:<\/p>\n

1.0 Hz (yast\u0131k)
\n1.009910515726549 Hz
\n1.019821031453098 Hz
\n1.029731547179647 Hz
\n1.039642062906196 Hz
\n1.049552578632745 Hz
\n1.059463094359294 Hz (nat\u00fcrel)<\/p>\n

[log\u00a0<\/em>(Ba\u011f\u0131l Frekans) \/\u00a0<\/em>log<\/em> (2)] x 1200<\/em>\u00a0form\u00fcl\u00fc ile sent de\u011ferleri a\u015fa\u011f\u0131dad\u0131r:<\/p>\n

0: 0.0 sent
\n1: 17.073 sent
\n2: 33.979 sent
\n3: 50.722 sent
\n4: 67.304 sent
\n5: 83.729 sent
\n6: 100.000 sent<\/p>\n

Sonu\u00e7lar, oktav\u0131n logaritmik olarak 72 e\u015fit par\u00e7aya taksim edilmesiyle olu\u015facak de\u011ferler ile pratik\u00e7e ayn\u0131d\u0131r:<\/p>\n\n\n\n\n\n\n\n\n\n
aritmetik b\u00f6l\u00fcnme<\/strong><\/td>\nlogaritmik b\u00f6l\u00fcnme<\/strong><\/td>\nfarklar<\/strong><\/td>\n<\/tr>\n
17.073<\/td>\n16.667<\/td>\n0.406<\/td>\n<\/tr>\n
33.979<\/td>\n33.333<\/td>\n0.646<\/td>\n<\/tr>\n
50.722<\/td>\n50<\/td>\n0.722<\/td>\n<\/tr>\n
67.304<\/td>\n66.667<\/td>\n0.637<\/td>\n<\/tr>\n
83.729<\/td>\n83.333<\/td>\n0.396<\/td>\n<\/tr>\n
100.000<\/td>\n100.000<\/td>\n0<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

\u015eu da var ki, tize do\u011fru her mandal bir \u00f6ncekinden az daha y\u00fcksek olmak zorundad\u0131r. Bundan dolay\u0131, tellerin her mandal kald\u0131rmada ilave gerilmesi s\u00f6zkonusudur. Yine de, buradan do\u011facak farklar\u0131n g\u00f6zard\u0131 edilebilir oldu\u011fu varsay\u0131labilir.<\/p>\n","protected":false},"excerpt":{"rendered":"

T\u00fcrkiye’de kanun yap\u0131mc\u0131lar\u0131, Bat\u0131’dan ithal edilen akort ayg\u0131tlar\u0131n\u0131 referans alarak, mandal tahtas\u0131nda\u00a0nat\u00fcrel mandallar\u0131\u00a0yast\u0131k mandallardan\u00a0(e\u015fikten) 100 sent uza\u011fa yerle\u015ftirip, aray\u0131 6 e\u015fit par\u00e7aya b\u00f6lerler. Bunun sonucunda, pratik\u00e7e\u00a072-ton E\u015fit Taksimata\u00a0var\u0131lm\u0131\u015f olur. Lakin, 72-tET’in b\u00fct\u00fcn perdeleri kullan\u0131lmaz, sadece bir alt-k\u00fcmeye yak\u0131nsan\u0131r. 72-tET’te en … Continue reading →<\/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-119","post","type-post","status-publish","format-standard","hentry","category-tuning-maqam-theory"],"_links":{"self":[{"href":"https:\/\/ozanyarman.com\/wpress\/wp-json\/wp\/v2\/posts\/119","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=119"}],"version-history":[{"count":13,"href":"https:\/\/ozanyarman.com\/wpress\/wp-json\/wp\/v2\/posts\/119\/revisions"}],"predecessor-version":[{"id":339,"href":"https:\/\/ozanyarman.com\/wpress\/wp-json\/wp\/v2\/posts\/119\/revisions\/339"}],"wp:attachment":[{"href":"https:\/\/ozanyarman.com\/wpress\/wp-json\/wp\/v2\/media?parent=119"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ozanyarman.com\/wpress\/wp-json\/wp\/v2\/categories?post=119"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ozanyarman.com\/wpress\/wp-json\/wp\/v2\/tags?post=119"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}