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The Pythagorean scale is any scale which can be constructed from only pure perfect fifths (3:2) and octaves (2:1). [5] In Greek music it was used to tune tetrachords, which were composed into scales spanning an octave. [6] A distinction can be made between extended Pythagorean tuning and a 12-tone Pythagorean temperament.
Overtones tunings for guitar select their six open-notes from the initial nine partials (harmonics) of the overtones sequence. The first eight partials on C, (C,C,G,C,E,G,B ♭,C), are pictured. Play simultaneously ⓘ Among alternative tunings for the guitar, an overtones tuning selects its open-string notes from the overtone sequence of a ...
Borrowed chords are typically used as "color chords", providing harmonic variety through contrasting scale forms, which are major scales and the three forms of minor scales. [2] Chords may also be borrowed from other parallel modes besides the major and minor mode, for example D Dorian with D major. [ 1 ]
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.
In music, harmonization is the chordal accompaniment to a line or melody: "Using chords and melodies together, making harmony by stacking scale tones as triads". [2] A harmonized scale can be created by using each note of a musical scale as a root note for a chord and then by taking other tones within the scale building the rest of a chord. [3]
For example, the greater just minor seventh, 9:5 (Play ⓘ) is a 5-limit ratio, the harmonic seventh has the ratio 7:4 and is thus a septimal interval. Similarly, the septimal chromatic semitone, 21:20, is a septimal interval as 21÷7=3. The harmonic seventh is used in the barbershop seventh chord and music.
The harmonic major scale has its own set of modes, distinct from the harmonic minor, melodic minor, and major modes, depending on which note serves as the tonic.Below are the mode names, their degrees, and the following seventh chords that can be built using each modal tonic or degree of the parent mode as the root: a major seventh chord, a half-diminished seventh chord, a minor seventh chord ...
The harmonic scale is a "super-just" musical scale allowing extended just intonation, beyond 5-limit to the 19th harmonic (Play ⓘ), and free modulation through the use of synthesizers. Transpositions and tuning tables are controlled by the left hand on the appropriate note on a one-octave keyboard.