- published: 27 Sep 2011
- views: 7069
In music, a fifteenth or double octave, abbreviated 15ma, is the interval between one musical note and another with one-quarter the wavelength or quadruple the frequency. It has also been referred to as the bisdiapason. The fourth harmonic, it is two octaves. It is referred to as a fifteenth because, in the diatonic scale, there are 15 notes between them if one counts both ends (as is customary). Two octaves (based on the Italian word for eighth) do not make a sixteenth, but a fifteenth. In other contexts, the term two octaves is likely to be used.
For example, if one note has a frequency of 400 Hz, the note a fifteenth above it is at 1600 Hz (15ma ), and the note a fifteenth below is at 100 Hz (15mb ). The ratio of frequencies of two notes a fifteenth apart is therefore 4:1.
As the fifteenth is a multiple of octaves, the human ear tends to hear both notes as being essentially "the same", as it does the octave. Like the octave, in the Western system of music notation notes a fifteenth apart are given the same name—the name of a note an octave above A is also A. However, because of the large frequency distance between the notes, it is less likely than an octave to be judged the same pitch by non-musicians. Passages in parallel fifteenths are much less common than parallel octaves. In particular, sometimes an organist will use two stops a fifteenth away (notated as 2′).
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she was my best friends sister and her mom didnt like me, she was an angel.. A little piece of advice never fall in love with your best friends sister.. and her tears ran black :(
From the Album As Falls Wichita, So Falls Wichita Falls February 29, 2000
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I have uploaded this video for educational purposes only. As a classroom teacher, my hope is to give students access to this video so that they can learn at home and expland their knowledge of world history in a deeper way. The Fifteenth Century, The century of the sail. In the 15th century, empires for the first time expand across oceans. China sends out huge fleets, but recalls them on the brink of world domination. In Italy, wealthy creates great art in the Renaissance. In Mexico, the Aztecs build a city of blood in the middle of a lake. The Ottomans conquer Constantinople and call the Mediterranean their own.
A brief history and background of the fifteenth amendment.