{"id":1318,"date":"2011-08-19T11:41:56","date_gmt":"2011-08-19T10:41:56","guid":{"rendered":"http:\/\/blogjam.name\/sid\/?page_id=1318"},"modified":"2011-10-06T11:23:02","modified_gmt":"2011-10-06T10:23:02","slug":"fundamental-frequency","status":"publish","type":"page","link":"http:\/\/blogjam.name\/sid\/?page_id=1318","title":{"rendered":":Fundamental frequency:"},"content":{"rendered":"<p>The basic rate of repetition of a <a href=\"http:\/\/blogjam.name\/sid\/?page_id=1613\">complex<\/a> <a href=\"http:\/\/blogjam.name\/sid\/?page_id=860\">periodic<\/a> waveform, measured in Hz. A complex waveform may be viewed as the result of the addition of a number of <a href=\"http:\/\/blogjam.name\/sid\/?page_id=1614\">sinusoidal<\/a> waveforms of differing <a href=\"http:\/\/blogjam.name\/sid\/?page_id=824\">frequencies<\/a> and <a href=\"http:\/\/blogjam.name\/sid\/?page_id=338\">amplitudes<\/a>. The waveform&#8217;s fundamental frequency is the highest common factor of the frequencies of the component waveforms. <\/p>\n<p>Some examples:<\/p>\n<ul>\n<li>Components at 100, 200 and 300 Hz &#8211; fundamental frequency = 100 Hz<\/li>\n<li>Components at 200, 400 and 600 Hz &#8211; fundamental frequency = 200 Hz<\/li>\n<li>Components at 150, 200 and 300 Hz &#8211; fundamental frequency = 50 Hz<\/li>\n<li>Components at 100, 300 and 400 Hz &#8211; fundamental frequency = 100 Hz<\/li>\n<\/ul>\n<p>Note that it is <strong>not<\/strong> the case that the fundamental frequency is the same as the lowest frequency component present, as the third example demonstrates. This situation is sometimes called a <strong>missing fundamental<\/strong>. Neither is it the case that the fundamental is the same as the spacing between two adjacent components.  This is demonstrated by the last example above.<\/p>\n<p>Fundamental frequency is related to the perception of <a href=\"http:\/\/blogjam.name\/sid\/?page_id=1786\">pitch<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The basic rate of repetition of a complex periodic waveform, measured in Hz. A complex waveform may be viewed as the result of the addition of a number of sinusoidal waveforms of differing frequencies and amplitudes. The waveform&#8217;s fundamental frequency &hellip; <a href=\"http:\/\/blogjam.name\/sid\/?page_id=1318\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":174,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"_links":{"self":[{"href":"http:\/\/blogjam.name\/sid\/index.php?rest_route=\/wp\/v2\/pages\/1318"}],"collection":[{"href":"http:\/\/blogjam.name\/sid\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"http:\/\/blogjam.name\/sid\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"http:\/\/blogjam.name\/sid\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/blogjam.name\/sid\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1318"}],"version-history":[{"count":6,"href":"http:\/\/blogjam.name\/sid\/index.php?rest_route=\/wp\/v2\/pages\/1318\/revisions"}],"predecessor-version":[{"id":3738,"href":"http:\/\/blogjam.name\/sid\/index.php?rest_route=\/wp\/v2\/pages\/1318\/revisions\/3738"}],"up":[{"embeddable":true,"href":"http:\/\/blogjam.name\/sid\/index.php?rest_route=\/wp\/v2\/pages\/174"}],"wp:attachment":[{"href":"http:\/\/blogjam.name\/sid\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1318"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}