Scale of chords

Definitions

  • Webster's Revised Unabridged Dictionary
    • Scale of chords a graduated scale on which are given the lengths of the chords of arcs from 0° to 90° in a circle of given radius, -- used in measuring given angles and in plotting angles of given numbers of degrees.
    • Scale of chords See Scale.
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Usage

In literature:

Then came the principles of the scale, arpeggios, chords and octaves.
"Piano Mastery" by Harriette Brower
At this stage it should be pointed out that all the notes of the scale are contained in one or other of these chords.
"Music As A Language" by Ethel Home
At either end of the scale are notes that stir no chord of that imperfect instrument, the human ear.
"The Best Ghost Stories" by Various
What we call "Life," or "Vitality," runs like a "dominant chord" in the harmonic scale of the whole.
"The New Avatar and The Destiny of the Soul" by Jirah D. Buck
In modern music it is applied to the natural scale, and to the intervals, chords, melodies, or harmony characteristic of it.
"The New Gresham Encyclopedia" by Various
I owe a great deal to that sister of mine, and particularly the early acquaintance I made with intervals, scales, and chords.
"Charles Auchester, Volume 1 of 2" by Elizabeth Sheppard
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In news:

No big point is made of it, though fans of Mr Miyazaki's "Princess Mononoke," which was promoted on a much larger scale, may be let down by the minor-chord fluidity of this film.
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In science:

The Lu-Torquato approach is conceptually simple and elegant, and uses the scaled-particle method of liquid theory to relate chord-length distributions to the problem of finding a thin cylindrical cavity in the liquid.
Random walk approach to the d-dimensional disordered Lorentz gas
The obtained scaling function in presence of disorder is greater than the chord length.
Entanglement spectrum of random-singlet quantum critical points
It is well known that these scales have the same number of chords (harmonic triads). A song composed in the A minor key simply uses only the tones of the scale A minor.
Musical Modes, Their Associated Chords and Their Musicality
Any song that is played in a certain ma jor scale can be played in any other ma jor scale and the two scales will have an equal number of chords.
Musical Modes, Their Associated Chords and Their Musicality
In what follows we will make more clear (mathematical) the notions of a mode and chord and we will classify modes by their musicality (a certain product of factors that we believe make the musicality of a scale).
Musical Modes, Their Associated Chords and Their Musicality
We will give our definition of a harmonic triad (chord) starting from a scale.
Musical Modes, Their Associated Chords and Their Musicality
Definition 1.8. A 3 tone harmonic subset of a scale is cal led a chord.
Musical Modes, Their Associated Chords and Their Musicality
If two scales belong to the same mode then they have the same number of chords and same number of one semi-tone intervals.
Musical Modes, Their Associated Chords and Their Musicality
The chord density of a k mode, for k ≥ 3, is the ratio between the number of chords of a scale within that mode and (cid:18) k 3 (cid:19) and it is denoted D.
Musical Modes, Their Associated Chords and Their Musicality
The motivation behind this definition is that most of the people will consider a scale to be more musical if it has more chords.
Musical Modes, Their Associated Chords and Their Musicality
In general a scale with more notes will likely have more chords, so in order to compare the chord richness of two scales with different number of notes we need to normalize the number of harmonic triads by the number of all possible combinations of three distinct notes within the scale.
Musical Modes, Their Associated Chords and Their Musicality
The program will search through all of the possible scales, count the number of chords in this scale, and keep track of those scales with the maximum number of chords.
Musical Modes, Their Associated Chords and Their Musicality
Such a chord may be built by combining the first, third, and fifth degrees of the do-re-mi-fa-so-la-ti-do scale: do-mi-so. A triad may also be built on the second degree (re-fa-la); on the third degree (mi-so-ti); and similarly on each of the other degrees of the scale (as a chord is build with the interval of thirds).
Music in Terms of Science
A harmony is an abstract sense that can be identified by a set of tones for forming a musical scale or chord.
Music in Terms of Science
A chord is a group of simultaneously sounding tones, while a scale is a set of musical tones usually sounding consecutively.
Music in Terms of Science
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