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In 5-limit just intonation, the diminished chord on VII (in C: B–D–F) is 15:8, 9:8, and 4:3, while on II (in C: D–F–A ♭) it is 9:8, 4:3, and 8:5 (135:160:192). According to Georg Andreas Sorge , the trumpet , in its overtone series on C, gives the diminished triad E–G–B ♭ = 5:6:7 ("perfect diminished chord" [ 11 ] ), but the 7 ...
Pieter Cornelis Mondriaan (Dutch: [ˈpitər kɔrˈneːlɪs ˈmɔndrijaːn]; 7 March 1872 – 1 February 1944), known after 1911 as Piet Mondrian (/ p iː t ˈ m ɒ n d r i ɑː n /, US also /-ˈ m ɔː n-/, Dutch: [pit ˈmɔndrijɑn]), was a Dutch painter and art theoretician who is regarded as one of the greatest artists of the 20th century.
In the key of C, this is F ♯ dim 7. It is also a common chord in jazz and ragtime music. A common traditional jazz or Dixieland progression is IV– ♯ iv o 7 –V 7 (in C major: F–F ♯ o 7 –G 7). Another common usage of ♯ iv o 7 is often found in Gospel music and jazz progressions such as in the song "I Got Rhythm":
5-limit Tonnetz. Five-limit tuning, 5-limit tuning, or 5-prime-limit tuning (not to be confused with 5-odd-limit tuning), is any system for tuning a musical instrument that obtains the frequency of each note by multiplying the frequency of a given reference note (the base note) by products of integer powers of 2, 3, or 5 (prime numbers limited to 5 or lower), such as 2 −3 ·3 1 ·5 1 = 15/8.
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The half diminished scale is a seven-note musical scale.It is more commonly known as the Locrian ♯ 2 scale [1] or the Aeolian ♭ 5 scale, names that avoid confusion with the diminished scale and the half-diminished seventh chord (minor seventh, diminished fifth).
For instance, the number 25 in column k = 3 and row n = 5 is given by 25 = 7 + (3×6), where 7 is the number above and to the left of 25, 6 is the number above 25 and 3 is the column containing the 6.
[5] The diminished seventh is used quite readily in the minor key , where it is present in the harmonic minor scale between the seventh scale step and the sixth scale step in the octave above. In 12-tone equal temperament , a diminished seventh is equal to nine semitones, a ratio of 2 9/12 :1 (approximately 1.6818), or 900 cents, and is ...