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Composed by J. Randolph Halll. This edition: Interactive Download. Classical,Standards,World. Worksheet. 4 pages. Duration 133. J. Randolph Hall #482593. Published by J. Randolph Hall (A0.482593).
I recently discovered a bridge between music and mathematics. The intervals in an octave can be calculated into degrees (°) as in angles. Interval conversion formula: 3¢ /40=x° or 3 times ¢ divided by 40. ¢ - https://en.wikipedia.org/wiki/Cent_(music) Coversion of intervals and cents: https://hyperphysics.phy-astr.gsu.edu/hbase/Music/cents.html One could even reduce the formula to simpler terms of 15x/2. Section A shows the voices ascending upwards and their interval sums add up to 90°, thus complementary. Section B shows the voices descending and again, their intervals add up 90°.
This product was created by a member of ArrangeMe, Hal Leonard’s global self-publishing community of independent composers, arrangers, and songwriters. ArrangeMe allows for the publication of unique arrangements of both popular titles and original compositions from a wide variety of voices and backgrounds.
About Digital Downloads
Digital Downloads are downloadable sheet music files that can be viewed directly on your computer, tablet or mobile device. Once you download your digital sheet music, you can view and print it at home, school, or anywhere you want to make music, and you don’t have to be connected to the internet. Just purchase, download and play!
PLEASE NOTE: Your Digital Download will have a watermark at the bottom of each page that will include your name, purchase date and number of copies purchased. You are only authorized to print the number of copies that you have purchased. You may not digitally distribute or print more copies than purchased for use (i.e., you may not print or digitally distribute individual copies to friends or students).
Composed by J. Randolph Halll. This edition: Interactive Download. Classical,Standards,World. Worksheet. 4 pages. Duration 133. J. Randolph Hall #482593. Published by J. Randolph Hall (A0.482593).
I recently discovered a bridge between music and mathematics. The intervals in an octave can be calculated into degrees (°) as in angles. Interval conversion formula: 3¢ /40=x° or 3 times ¢ divided by 40. ¢ - https://en.wikipedia.org/wiki/Cent_(music) Coversion of intervals and cents: https://hyperphysics.phy-astr.gsu.edu/hbase/Music/cents.html One could even reduce the formula to simpler terms of 15x/2. Section A shows the voices ascending upwards and their interval sums add up to 90°, thus complementary. Section B shows the voices descending and again, their intervals add up 90°.
This product was created by a member of ArrangeMe, Hal Leonard’s global self-publishing community of independent composers, arrangers, and songwriters. ArrangeMe allows for the publication of unique arrangements of both popular titles and original compositions from a wide variety of voices and backgrounds.
About Digital Downloads
Digital Downloads are downloadable sheet music files that can be viewed directly on your computer, tablet or mobile device. Once you download your digital sheet music, you can view and print it at home, school, or anywhere you want to make music, and you don’t have to be connected to the internet. Just purchase, download and play!
PLEASE NOTE: Your Digital Download will have a watermark at the bottom of each page that will include your name, purchase date and number of copies purchased. You are only authorized to print the number of copies that you have purchased. You may not digitally distribute or print more copies than purchased for use (i.e., you may not print or digitally distribute individual copies to friends or students).
Preview: Complementary Musical Angles (°)
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