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  2. Music and mathematics - Wikipedia

    en.wikipedia.org/wiki/Music_and_mathematics

    A whole tone is a secondary interval, being derived from two perfect fifths minus an octave, (3:2) 2 /2 = 9:8. The just major third, 5:4 and minor third, 6:5, are a syntonic comma , 81:80, apart from their Pythagorean equivalents 81:64 and 32:27 respectively.

  3. List of pitch intervals - Wikipedia

    en.wikipedia.org/wiki/List_of_pitch_intervals

    The extremes of the meantone systems encountered in historical practice are the Pythagorean tuning, where the whole tone corresponds to 9:8, i.e. ⁠ (3:2) 2 / 2 ⁠, the mean of the major third ⁠ (3:2) 4 / 4 ⁠, and the fifth (3:2) is not tempered; and the 1 ⁄ 3-comma meantone, where the fifth is tempered to the extent that three ...

  4. Interval ratio - Wikipedia

    en.wikipedia.org/wiki/Interval_ratio

    For example, a just perfect fifth (for example C to G) is 3:2 (Play ⓘ), 1.5, and may be approximated by an equal tempered perfect fifth (Play ⓘ) which is 2 7/12 (about 1.498). If the A above middle C is 440 Hz , the perfect fifth above it would be E , at (440*1.5=) 660 Hz, while the equal tempered E5 is 659.255 Hz.

  5. Note value - Wikipedia

    en.wikipedia.org/wiki/Note_value

    A number of dots (n) lengthen the note value by ⁠ 2 n − 1 / 2 n ⁠ its value, so two dots add two lower note values, making a total of one and three quarters times its original duration. The rare three dots make it one and seven eighths the duration, and so on.

  6. Mathematics Presents Wu-Tang Clan & Friends Unreleased

    en.wikipedia.org/wiki/Mathematics_Presents_Wu...

    Mathematics Presents - Wu-Tang Clan & Friends Unreleased [1] [note 1] is a compilation produced by rap music producer Mathematics. [2] It was released on February 6, 2007 [3] under label Nature Sounds. [2] [4] It contains unreleased songs by Wu-Tang Clan and their affiliates. [citation needed] Later, in 2010, Mathematics produced Return of the ...

  7. How teachers are using Taylor Swift's music to make 'learning ...

    www.aol.com/entertainment/teachers-using-taylor...

    He posted a video to TikTok of his kids singing along with math-themed lyrics. "[The video] blew up to a million views in 24 hours," he says. The post has been viewed nearly 11 million times and ...

  8. Superpermutation - Wikipedia

    en.wikipedia.org/wiki/Superpermutation

    However, on 1 February 2019, Bogdan Coanda announced that he had found a superpermutation for n=7 of length 5907, or (n! + (n−1)! + (n−2)! + (n−3)! + n − 3) − 1, which was a new record. [2] On 27 February 2019, using ideas developed by Robin Houston, Egan produced a superpermutation for n = 7 of length 5906. [ 2 ]

  9. Phonograph record - Wikipedia

    en.wikipedia.org/wiki/Phonograph_record

    Total groove length in turn depends on how closely the grooves are spaced, in addition to the record diameter. At the beginning of the 20th century, the early discs played for two minutes, the same as cylinder records. [39] The 12-inch disc, introduced by Victor in 1903, increased the playing time to three and a half minutes. [40]