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[5] The Socolar–Taylor tile was proposed in 2010 as a solution to the einstein problem, but this tile is not a connected set. In 1996, Petra Gummelt constructed a decorated decagonal tile and showed that when two kinds of overlaps between pairs of tiles are allowed, the tiles can cover the plane, but only non-periodically. [6]
In music theory, contrapuntal motion is the general movement of two or more melodic lines with respect to each other. [1] In traditional four-part harmony, it is important that lines maintain their independence, an effect which can be achieved by the judicious use of the four types of contrapuntal motion: parallel motion, similar motion, contrary motion, and oblique motion.
1 4 5 1. By convention, Nashville notation eliminates the slashes and bar lines that denote the beats in the measure: "With the number system it’s understood that each number written on your chart is given the value of one measure of music. In 4/4 time, that’s a total of four beats per number on the chart." [5]
The same major scale also has three minor chords, the supertonic chord (ii), mediant chord (iii), and submediant chord (vi), respectively. These chords stand in the same relationship to one another (in the relative minor key ) as do the three major chords, so that they may be viewed as the first (i), fourth (iv) and fifth (v) degrees of the ...
Open tunings allow one-finger chords to be played with greater consonance than do other tunings, which use equal temperament, at the cost of increasing the dissonance in other chords. The playing of (3 to 5 string) guitar chords is simplified by the class of alternative tunings called regular tunings, in which the musical intervals are the same ...
In (b), the same measures are presented as four block chords (with two inverted): I – II 4 2 – V 6 5 – I. . In (c), the four measures are presented as five horizontal voices identified by the direction of the stems, which are added even though the notes are actually whole notes, making them look like half notes.
Any chord that moves between one diatonic chord and another one nearby may be loosely termed a passing chord. A diatonic passing chord may be inserted into a pre-existing progression that moves by a major or minor third in order to create more movement." [4] "'Inbetween chords' that help you get from one chord to another are called passing ...
It is one of two monohedral pentagonal tilings that, when the tiles have unit area, minimizes the perimeter of the tiles. The other is also a tiling by circumscribed pentagons with two right angles and three 120° angles, but with the two right angles adjacent; there are also infinitely many tilings formed by combining both kinds of pentagon.