{"id":586,"date":"2016-02-26T07:40:51","date_gmt":"2016-02-26T14:40:51","guid":{"rendered":"https:\/\/supermediocre.org\/?p=586"},"modified":"2016-07-12T19:08:37","modified_gmt":"2016-07-13T01:08:37","slug":"fine-tuning","status":"publish","type":"post","link":"https:\/\/supermediocre.org\/index.php\/2016\/02\/26\/fine-tuning\/","title":{"rendered":"Fine Tuning"},"content":{"rendered":"<p>With the rough tuning done, and the holes drilled, Jack and I moved on to the fine tuning. Our goal going in was to get the fundamentals to within about 5\u00a0cents.<\/p>\n<p>The fine tuning took a bit more time than the rough tuning, because we had to be very careful not to remove too much wood &#8211; you really have to sneak up on the target\u00a0frequencies.<\/p>\n<p>After all of the iterations, here is a plot of the resulting bar frequencies and overtones:<\/p>\n<figure id=\"attachment_588\" aria-describedby=\"caption-attachment-588\" style=\"width: 300px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/supermediocre.org\/wp-content\/uploads\/2016\/02\/final_tuning.png\" rel=\"lightbox[586]\"><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-588\" src=\"https:\/\/supermediocre.org\/wp-content\/uploads\/2016\/02\/final_tuning-300x225.png\" alt=\"Bar frequencies after final tuning\" width=\"300\" height=\"225\" srcset=\"https:\/\/supermediocre.org\/wp-content\/uploads\/2016\/02\/final_tuning-300x225.png 300w, https:\/\/supermediocre.org\/wp-content\/uploads\/2016\/02\/final_tuning.png 644w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><figcaption id=\"caption-attachment-588\" class=\"wp-caption-text\">Bar frequencies after final tuning<\/figcaption><\/figure>\n<p>As you can see, the fundamental frequencies are almost all within +\/- 5 cents. For bars 21 (C#6) and under, we were\u00a0able to keep the second partial pretty tight too. We were not able to maintain the 2nd partial in the higher register, but this is consistent with other instruments that I spectrally measured. We expected the bars to settle out a bit more, so our plan was to tweak them one last time before applying finish to tease out the last few cents.<\/p>\n<p>Bar #43 (B7) was problematic. As we were tuning it, it sounded a bit dead. The spectral response looked a little funny too. Here is\u00a0the PSD for that bar:<\/p>\n<figure id=\"attachment_595\" aria-describedby=\"caption-attachment-595\" style=\"width: 300px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/supermediocre.org\/wp-content\/uploads\/2016\/02\/bar_43_final.png\" rel=\"lightbox[586]\"><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-595\" src=\"https:\/\/supermediocre.org\/wp-content\/uploads\/2016\/02\/bar_43_final-300x85.png\" alt=\"Bar 43 PSD\" width=\"300\" height=\"85\" srcset=\"https:\/\/supermediocre.org\/wp-content\/uploads\/2016\/02\/bar_43_final-300x85.png 300w, https:\/\/supermediocre.org\/wp-content\/uploads\/2016\/02\/bar_43_final.png 983w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><figcaption id=\"caption-attachment-595\" class=\"wp-caption-text\">Bar 43 PSD<\/figcaption><\/figure>\n<p>Notice that the peak is not well defined. By contrast, here are the PSDs for bars 42 and 44:<\/p>\n<figure id=\"attachment_594\" aria-describedby=\"caption-attachment-594\" style=\"width: 300px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/supermediocre.org\/wp-content\/uploads\/2016\/02\/bar_44_final.png\" rel=\"lightbox[586]\"><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-594\" src=\"https:\/\/supermediocre.org\/wp-content\/uploads\/2016\/02\/bar_44_final-300x83.png\" alt=\"Bar 44 PSD\" width=\"300\" height=\"83\" srcset=\"https:\/\/supermediocre.org\/wp-content\/uploads\/2016\/02\/bar_44_final-300x83.png 300w, https:\/\/supermediocre.org\/wp-content\/uploads\/2016\/02\/bar_44_final.png 987w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><figcaption id=\"caption-attachment-594\" class=\"wp-caption-text\">Bar 44 PSD<\/figcaption><\/figure>\n<figure id=\"attachment_593\" aria-describedby=\"caption-attachment-593\" style=\"width: 300px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/supermediocre.org\/wp-content\/uploads\/2016\/02\/bar_42_final.png\" rel=\"lightbox[586]\"><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-593\" src=\"https:\/\/supermediocre.org\/wp-content\/uploads\/2016\/02\/bar_42_final-300x81.png\" alt=\"Bar 42 PSD\" width=\"300\" height=\"81\" srcset=\"https:\/\/supermediocre.org\/wp-content\/uploads\/2016\/02\/bar_42_final-300x81.png 300w, https:\/\/supermediocre.org\/wp-content\/uploads\/2016\/02\/bar_42_final.png 991w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><figcaption id=\"caption-attachment-593\" class=\"wp-caption-text\">Bar 42 PSD<\/figcaption><\/figure>\n<p>These two have much more well defined peaks than bar 43.\u00a0We looked back at the PSDs for the blanks, and the differences were not as obvious, so we couldn&#8217;t have caught this before tuning. We considered remaking this bar but ultimately decided it was good enough. Perhaps we will replace it in the future.<\/p>\n<p>Here is what the bars sounded like at this point:<\/p>\n<!--[if lt IE 9]><script>document.createElement('audio');<\/script><![endif]-->\n<audio class=\"wp-audio-shortcode\" id=\"audio-586-1\" preload=\"none\" style=\"width: 100%;\" controls=\"controls\"><source type=\"audio\/wav\" src=\"https:\/\/supermediocre.org\/wp-content\/uploads\/2016\/02\/Bars_1-44-FineTuned.wav?_=1\" \/><a href=\"https:\/\/supermediocre.org\/wp-content\/uploads\/2016\/02\/Bars_1-44-FineTuned.wav\">https:\/\/supermediocre.org\/wp-content\/uploads\/2016\/02\/Bars_1-44-FineTuned.wav<\/a><\/audio>\n<p>All sound pretty good except for the B7 bar, which, as noted, sounds a bit dead.<\/p>\n<p>Just for fun, here is a sped-up video of me tuning on of the bars:<\/p>\n<p><iframe loading=\"lazy\" title=\"Xylophone bar tuning\" width=\"474\" height=\"267\" src=\"https:\/\/www.youtube.com\/embed\/JYbBLWpyqiQ?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe><\/p>\n<p>As you can see, I move back and forth a lot between the sanding and tuning stations.<\/p>\n<p>After tuning, I removed the labels and cleaned them up a bit. Here are a bunch of\u00a0pictures of the bars:<\/p>\n<div id='gallery-1' class='gallery galleryid-586 gallery-columns-3 gallery-size-thumbnail'><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon portrait'>\n\t\t\t\t<a href='https:\/\/supermediocre.org\/index.php\/2016\/02\/26\/fine-tuning\/img_3666\/'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/supermediocre.org\/wp-content\/uploads\/2016\/02\/IMG_3666-150x150.jpg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" \/><\/a>\n\t\t\t<\/div><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon landscape'>\n\t\t\t\t<a href='https:\/\/supermediocre.org\/index.php\/2016\/02\/26\/fine-tuning\/img_3667\/'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/supermediocre.org\/wp-content\/uploads\/2016\/02\/IMG_3667-150x150.jpg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" \/><\/a>\n\t\t\t<\/div><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon landscape'>\n\t\t\t\t<a href='https:\/\/supermediocre.org\/index.php\/2016\/02\/26\/fine-tuning\/img_3668\/'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/supermediocre.org\/wp-content\/uploads\/2016\/02\/IMG_3668-150x150.jpg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" aria-describedby=\"gallery-1-613\" \/><\/a>\n\t\t\t<\/div>\n\t\t\t\t<figcaption class='wp-caption-text gallery-caption' id='gallery-1-613'>\n\t\t\t\tInvoice for resonator tube material\n\t\t\t\t<\/figcaption><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon portrait'>\n\t\t\t\t<a href='https:\/\/supermediocre.org\/index.php\/2016\/02\/26\/fine-tuning\/img_3669\/'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/supermediocre.org\/wp-content\/uploads\/2016\/02\/IMG_3669-150x150.jpg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" \/><\/a>\n\t\t\t<\/div><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon portrait'>\n\t\t\t\t<a href='https:\/\/supermediocre.org\/index.php\/2016\/02\/26\/fine-tuning\/img_3671\/'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/supermediocre.org\/wp-content\/uploads\/2016\/02\/IMG_3671-150x150.jpg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" \/><\/a>\n\t\t\t<\/div><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon landscape'>\n\t\t\t\t<a href='https:\/\/supermediocre.org\/index.php\/2016\/02\/26\/fine-tuning\/img_3672\/'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/supermediocre.org\/wp-content\/uploads\/2016\/02\/IMG_3672-150x150.jpg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" \/><\/a>\n\t\t\t<\/div><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon portrait'>\n\t\t\t\t<a href='https:\/\/supermediocre.org\/index.php\/2016\/02\/26\/fine-tuning\/img_3673\/'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/supermediocre.org\/wp-content\/uploads\/2016\/02\/IMG_3673-150x150.jpg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" \/><\/a>\n\t\t\t<\/div><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon portrait'>\n\t\t\t\t<a href='https:\/\/supermediocre.org\/index.php\/2016\/02\/26\/fine-tuning\/img_3674\/'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/supermediocre.org\/wp-content\/uploads\/2016\/02\/IMG_3674-150x150.jpg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" aria-describedby=\"gallery-1-607\" \/><\/a>\n\t\t\t<\/div>\n\t\t\t\t<figcaption class='wp-caption-text gallery-caption' id='gallery-1-607'>\n\t\t\t\tOur tuned bars\n\t\t\t\t<\/figcaption><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon portrait'>\n\t\t\t\t<a href='https:\/\/supermediocre.org\/index.php\/2016\/02\/26\/fine-tuning\/img_3675\/'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/supermediocre.org\/wp-content\/uploads\/2016\/02\/IMG_3675-150x150.jpg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" \/><\/a>\n\t\t\t<\/div><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon landscape'>\n\t\t\t\t<a href='https:\/\/supermediocre.org\/index.php\/2016\/02\/26\/fine-tuning\/img_3676\/'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/supermediocre.org\/wp-content\/uploads\/2016\/02\/IMG_3676-150x150.jpg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" \/><\/a>\n\t\t\t<\/div><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon portrait'>\n\t\t\t\t<a href='https:\/\/supermediocre.org\/index.php\/2016\/02\/26\/fine-tuning\/img_3677\/'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/supermediocre.org\/wp-content\/uploads\/2016\/02\/IMG_3677-150x150.jpg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" \/><\/a>\n\t\t\t<\/div><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon portrait'>\n\t\t\t\t<a href='https:\/\/supermediocre.org\/index.php\/2016\/02\/26\/fine-tuning\/img_3678\/'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/supermediocre.org\/wp-content\/uploads\/2016\/02\/IMG_3678-150x150.jpg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" \/><\/a>\n\t\t\t<\/div><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon portrait'>\n\t\t\t\t<a href='https:\/\/supermediocre.org\/index.php\/2016\/02\/26\/fine-tuning\/img_3679\/'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/supermediocre.org\/wp-content\/uploads\/2016\/02\/IMG_3679-150x150.jpg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" \/><\/a>\n\t\t\t<\/div><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon portrait'>\n\t\t\t\t<a href='https:\/\/supermediocre.org\/index.php\/2016\/02\/26\/fine-tuning\/img_3680\/'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/supermediocre.org\/wp-content\/uploads\/2016\/02\/IMG_3680-150x150.jpg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" \/><\/a>\n\t\t\t<\/div><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon portrait'>\n\t\t\t\t<a href='https:\/\/supermediocre.org\/index.php\/2016\/02\/26\/fine-tuning\/img_3681\/'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/supermediocre.org\/wp-content\/uploads\/2016\/02\/IMG_3681-150x150.jpg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" \/><\/a>\n\t\t\t<\/div><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon portrait'>\n\t\t\t\t<a href='https:\/\/supermediocre.org\/index.php\/2016\/02\/26\/fine-tuning\/img_3682\/'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/supermediocre.org\/wp-content\/uploads\/2016\/02\/IMG_3682-150x150.jpg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" \/><\/a>\n\t\t\t<\/div><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon portrait'>\n\t\t\t\t<a href='https:\/\/supermediocre.org\/index.php\/2016\/02\/26\/fine-tuning\/img_3683\/'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/supermediocre.org\/wp-content\/uploads\/2016\/02\/IMG_3683-150x150.jpg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" aria-describedby=\"gallery-1-598\" \/><\/a>\n\t\t\t<\/div>\n\t\t\t\t<figcaption class='wp-caption-text gallery-caption' id='gallery-1-598'>\n\t\t\t\tToo many photos of our tuned bars (hey, we were proud of work!)\n\t\t\t\t<\/figcaption><\/figure>\n\t\t<\/div>\n\n<p>Finally, if you are thinking about building your own bars, you might be interested in the following plot, which shows the number of times I made spectral measurements of each bar.<\/p>\n<figure id=\"attachment_619\" aria-describedby=\"caption-attachment-619\" style=\"width: 300px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/supermediocre.org\/wp-content\/uploads\/2016\/02\/NumberOfPSDs.png\" rel=\"lightbox[586]\"><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-619\" src=\"https:\/\/supermediocre.org\/wp-content\/uploads\/2016\/02\/NumberOfPSDs-300x225.png\" alt=\"Number of spectral measurements per bar\" width=\"300\" height=\"225\" srcset=\"https:\/\/supermediocre.org\/wp-content\/uploads\/2016\/02\/NumberOfPSDs-300x225.png 300w, https:\/\/supermediocre.org\/wp-content\/uploads\/2016\/02\/NumberOfPSDs.png 672w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><figcaption id=\"caption-attachment-619\" class=\"wp-caption-text\">Number of spectral measurements per bar<\/figcaption><\/figure>\n<p>This included all of the initial measurements (i.e., of the blanks) and the rough and fine tuning. This also include a tweak or two that we performed after the fine tuning. As you can see, my longest and shortest bars took the most sand\/measure iterations, since I was still learning. After I had these tuned, I worked my way from longest to shortest (i.e., bar #2 to bar #43). Once I got good, the long bars took about 20-25 cycles and the short bars were somewhat faster. All told, this was 939 total spectral measurements &#8211; a lot of time and patience.<\/p>\n<h1>How Long Did All of This Take?<\/h1>\n<p>You may be wondering how much time each sand\/measure cycle took (I did,) so I plotted the time between spectral measurements for a typical bar.<\/p>\n<figure id=\"attachment_623\" aria-describedby=\"caption-attachment-623\" style=\"width: 300px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/supermediocre.org\/wp-content\/uploads\/2016\/02\/time_between_cycles.png\" rel=\"lightbox[586]\"><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-623\" src=\"https:\/\/supermediocre.org\/wp-content\/uploads\/2016\/02\/time_between_cycles-300x225.png\" alt=\"Time between sand\/measure iterations for bar #3\" width=\"300\" height=\"225\" srcset=\"https:\/\/supermediocre.org\/wp-content\/uploads\/2016\/02\/time_between_cycles-300x225.png 300w, https:\/\/supermediocre.org\/wp-content\/uploads\/2016\/02\/time_between_cycles.png 672w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><figcaption id=\"caption-attachment-623\" class=\"wp-caption-text\">Time between sand\/measure iterations for bar #3<\/figcaption><\/figure>\n<p>At the start, the when I was removing more wood, the cycles took perhaps 5 minutes. However, as I got closer to the final target frequencies, I was removing just a bit of wood, so the tuning approached 1 minute per iteration.<\/p>\n<p>For round numbers, let&#8217;s assume each iteration took, on average, 2.5 minutes. The total time for bar tuning, then, is 939*2.5 \/ 60 ~= 39 hours. That&#8217;s a lot of tuning time! If I had to do this again, it might be a bit faster; at the end of the day, however, I don&#8217;t know that there is any way to speed up these cycles without the risk of overshooting the target frequency.<\/p>\n<p>With the tuning essentially\u00a0done, Jack and I moved on to building the frame and fabricating the resonator tubes. Stay tuned to hear more about that&#8230;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>With the rough tuning done, and the holes drilled, Jack and I moved on to the fine tuning. Our goal going in was to get the fundamentals to within about 5\u00a0cents. The fine tuning took a bit more time than the rough tuning, because we had to be very careful not to remove too much &hellip; <a href=\"https:\/\/supermediocre.org\/index.php\/2016\/02\/26\/fine-tuning\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Fine Tuning<\/span> <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"categories":[2],"tags":[15,9,3],"class_list":["post-586","post","type-post","status-publish","format-standard","hentry","category-xylophone","tag-fine-tuning","tag-rosewood","tag-xylophone"],"_links":{"self":[{"href":"https:\/\/supermediocre.org\/index.php\/wp-json\/wp\/v2\/posts\/586","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/supermediocre.org\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/supermediocre.org\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/supermediocre.org\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/supermediocre.org\/index.php\/wp-json\/wp\/v2\/comments?post=586"}],"version-history":[{"count":12,"href":"https:\/\/supermediocre.org\/index.php\/wp-json\/wp\/v2\/posts\/586\/revisions"}],"predecessor-version":[{"id":950,"href":"https:\/\/supermediocre.org\/index.php\/wp-json\/wp\/v2\/posts\/586\/revisions\/950"}],"wp:attachment":[{"href":"https:\/\/supermediocre.org\/index.php\/wp-json\/wp\/v2\/media?parent=586"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/supermediocre.org\/index.php\/wp-json\/wp\/v2\/categories?post=586"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/supermediocre.org\/index.php\/wp-json\/wp\/v2\/tags?post=586"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}