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# Brain Game: Math Square #88

The mentalfloss.com Brain Game offers a new entry in our longest-running weekly feature: the Monday Math Square. Enjoy!

The nine white squares inside the main red grid should be filled with the digits 1 through 9. Each digit should appear only once in this main grid (the red square). Place the digits 1 through 9 in their correct spots so that the mathematical equations work both across and down.

Here is the SOLUTION.

NOTE: These puzzles rarely (but occasionally) have alternate solutions that fit the rules. If you find one of these, first make sure that you've followed the instructions to the letter, then pat yourself on the back (and feel free to share it with us in the comments).

THE SOLUTION:

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Stradivarius Violins Get Their Distinctive Sound By Mimicking the Human Voice
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Italian violinist Francesco Geminiani once wrote that a violin's tone should "rival the most perfect human voice." Nearly three centuries later, scientists have confirmed that some of the world's oldest violins do in fact mimic aspects of the human singing voice, a finding which scientists believe proves "the characteristic brilliance of Stradivari violins."

Using speech analysis software, scientists in Taiwan compared the sound produced by 15 antique instruments with recordings of 16 male and female vocalists singing English vowel sounds, The Guardian reports. They discovered that violins made by Andrea Amati and Antonio Stradivari, the pioneers of the instrument, produce similar "formant features" as the singers. The resonance frequencies were similar between Amati violins and bass and baritone singers, while the higher-frequency tones produced by Stradivari instruments were comparable to tenors and contraltos.

Andrea Amati, born in 1505, was the first known violin maker. His design was improved over 100 years later by Antonio Stradivari, whose instruments now sell for several million dollars. "Some Stradivari violins clearly possess female singing qualities, which may contribute to their perceived sweetness and brilliance," Hwan-Ching Tai, an author of the study, told The Guardian.

Their findings were published in the journal Proceedings of the National Academy of Sciences of the United States of America. A 2013 study by Dr. Joseph Nagyvary, a professor emeritus at Texas A&M University, also pointed to a link between the sounds produced by 250-year-old violins and those of a female soprano singer.

According to Vox, a blind test revealed that professional violinists couldn't reliably tell the difference between old violins like "Strads" and modern ones, with most even expressing a preference for the newer instruments. However, the value of these antique instruments can be chalked up to their rarity and history, and many violinists still swear by their exceptional quality.

[h/t The Guardian]

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