About Pothole Repair
Different Types of Pothole Repair
There are many ways to approach pothole repair. Below are some of the methods you may encounter when hiring an asphalt contractor.
If you are looking for a fast, permanent solution to pothole repair, infrared patching is the way to go. Not only does this method use recycled asphalt, but it also creates a seamless weld that prevents water penetration and offers an attractive solution for potholes. It is also a much greener option than other conventional methods. A random sampling of specification sheets shows that few pothole repair projects are using infrared repair.
Infrared patching takes between 20 and 30 minutes to complete and traffic can continue shortly after. To perform the procedure, the area to be repaired is marked. A 6' x 8' infrared unit heats the asphalt. After heating, the asphalt is raked away and new asphalt laid down. In the meantime, cracked surfaces continue to deteriorate and cause more damage. This leads to higher repair costs and an increased risk of accidents.
There are two main types of pothole repair methods: the throw-and-roll method and the spray-in method. The former is used to temporarily patch a pothole, while the latter involves repairing it permanently. In the throw-and-roll method, the pothole is filled with asphalt patch materials, which are then rolled over by heavy vehicles. The throw-and-roll method is a temporary solution, which is why it's commonly used during the winter when the roads are most likely to be damaged. However, the method is very labor-intensive and expensive.
When you use the "throw-and-roll" method, you simply shovel the patch into the pothole and roll it into place. This method is usually used during the winter months because it does not require compaction. The throw-and-roll method is more effective when using high-quality materials, which will ensure the pothole patch stays intact and lasts for a long time. However, it only works well in sub-zero temperatures.
One of the most common and effective pothole repair methods is to use a surface seal. The idea behind this type of repair is to fill the pothole with a material that binds to the surface and is flexible enough to go into cracks and other areas of the road. This material is relatively inexpensive, and it can be applied easily by hand, without the need for special equipment. After preparing the area, the surface seal can be applied.
Crack sealing is best done in moderate temperatures and immediately after the crack has developed. It's crucial to route out and clean out cracks before applying sealant. Fog seal is a light application of diluted asphalt emulsion that will restore flexibility to aged pavement. It may also postpone the need for a BST or non-structural overlay. While fog seals aren't always effective for pothole repair, they may be an excellent option for pothole repair.
Full-depth patching is the preferred method for repairing potholes. Full-depth patching involves the application of asphalt over an existing pothole. The materials used must be fresh hot asphalt plant mix and meet the requirements set forth by the Colorado State Highway Specifications. You can request a manufacturer's certification upon request. Full-depth patching will increase the strength and durability of the asphalt overlay. Listed below are some tips on how to patch a pothole using full-depth patching.
Full-depth patching requires removing four inches or more of the top layer of asphalt or concrete. In some cases, excavation tools may be necessary. This process is more difficult and may require removal of drainage or sub-grade. The patch is then filled with a dense hot mix asphalt mixture and leveled. A well-filled patch is slightly overfilled. It may be necessary to repair drainage beneath the damaged area before applying the asphalt patch.
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About Cadence, ID
In Western musical theory, a cadence (Latin cadentia, "a falling") is the end of a phrase in which the melody or harmony creates a sense of full or partial resolution, especially in music of the 16th century onwards. A harmonic cadence is a progression of two or more chords that concludes a phrase, section, or piece of music. A rhythmic cadence is a characteristic rhythmic pattern that indicates the end of a phrase. A cadence can be labeled "weak" or "strong" depending on the impression of finality it gives. While cadences are usually classified by specific chord or melodic progressions, the use of such progressions does not necessarily constitute a cadence—there must be a sense of closure, as at the end of a phrase. Harmonic rhythm plays an important part in determining where a cadence occurs.
Cadences are strong indicators of the tonic or central pitch of a passage or piece. The musicologist Edward Lowinsky proposed that the cadence was the "cradle of tonality".
Cadence names may differ between US usage and British usage. This article follows US usage.
Cadences are divided into four main types, according to their harmonic progression: authentic (typically perfect authentic or imperfect authentic), half, plagal, and deceptive. Typically, phrases end on authentic or half cadences, and the terms plagal and deceptive refer to motion that avoids or follows a phrase-ending cadence. Each cadence can be described using the Roman numeral system of naming chords.
An authentic cadence is a cadence from the dominant chord (V) to the root chord (I). A seventh above the root may be added to create a dominant seventh chord (V), and the dominant chord may be preceded by a cadential 6
4 chord. The Harvard Concise Dictionary of Music and Musicians says, "This cadence is a microcosm of the tonal system, and is the most direct means of establishing a pitch as tonic. It is virtually obligatory as the final structural cadence of a tonal work." Authentic cadences are generally classified as either perfect or imperfect. The phrase perfect cadence is sometimes used as a synonym for authentic cadence but can also have a more precise meaning depending on the chord voicing.
In a perfect authentic cadence (PAC), the chords are in root position – that is, the roots of both chords are in the bass – and the tonic is in the highest voice of the final chord. This is generally considered the strongest type of cadence and often found at structurally defining moments. Music theorist William Caplin writes that the perfect authentic cadence "achieves complete harmonic and melodic closure."
There are three types of imperfect authentic cadences (IAC):
An evaded cadence moves from a dominant seventh third inversion chord (V
2) to a first inversion tonic chord (I6
). Because the seventh must fall stepwise, it forces the cadence to resolve to the less stable first inversion chord. To achieve this, a root position V usually changes to a V4
2 right before resolution, thereby "evading" the cadence. (See also inverted cadence below.)
A half cadence (also called an imperfect cadence or semicadence) is any cadence ending on V, whether preceded by II (V of V), ii, vi, IV, or I—or any other chord. Because it sounds incomplete or suspended, the half cadence is considered a weak cadence that calls for continuation.
Several types of half cadences are described below.
A Phrygian half cadence is a half cadence iv–V in minor, so named because the semitonal motion in the bass (sixth degree to fifth degree) resembles the half-step heard in the ii–I of the 15th-century cadence in the Phrygian mode. Due to its being a survival from modal Renaissance harmony this cadence gives an archaic sound, especially when preceded by v (v–iv6–V). A characteristic gesture in Baroque music, the Phrygian cadence often concluded a slow movement immediately followed by a faster one. With the addition of motion in the upper part to the sixth degree, it becomes the Landini cadence.
A Lydian cadence is similar to the Phrygian half cadence, involving iv–V in the minor. The difference is that in the Lydian cadence, the whole iv6 is raised by a half step. In other words, the Phrygian half cadence begins with the first chord built on scale degree , while the Lydian half cadence is built on the scale degree ♯.
Burgundian cadences became popular in Burgundian music. Note the parallel fourths between the upper voices.
The rare plagal half cadence involves a I–IV progression. Like an authentic cadence (V–I), the plagal half cadence involves an ascending fourth (or, by inversion, a descending fifth). The plagal half cadence is a weak cadence, ordinarily at the ending of an antecedent phrase, after which a consequent phrase commences. One example of this use is in "Auld Lang Syne". But in one very unusual occurrence – the end of the exposition of the first movement of Brahms' Clarinet Trio, Op. 114—it is used to complete not just a musical phrase but an entire section of a movement.
A plagal cadence is a cadence from IV to I. It is also known as the Amen cadence because of its frequent setting to the text "Amen" in hymns.
A minor plagal cadence, also known as a perfect plagal cadence, uses the minor iv instead of a major IV. With a very similar voice leading to a perfect cadence, the minor plagal cadence is a strong resolution to the tonic.
The Moravian cadence, which can be found in the works of Leoš Janáček and Bohuslav Martinů amongst others, is a form of plagal cadence in which the outer notes of the first chord each move inwards by a tone to the second. (IV → I6). An early suggestion of the Moravian cadence in classical music occurs in Antonín Dvořák’s New World Symphony.
"A cadence is called 'interrupted', 'deceptive' or 'false' where the penultimate, dominant chord is not followed by the expected tonic, but by another one, often the submediant." This is the most important irregular resolution, most commonly V–vi (or V7–♭VI) in major or V–VI in minor. This is considered a weak cadence because of the "hanging" (suspended) feeling it invokes.
At the beginning of the final movement of Gustav Mahler's 9th Symphony, the listener hears a string of many deceptive cadences progressing from V to IV.
One of the most striking uses of this cadence is in the A-minor section at the end of the exposition in the first movement of Brahms' Third Symphony. The music progresses to an implied E minor dominant (B) with a rapid chromatic scale upwards but suddenly sidesteps to C major. The same device is used again in the recapitulation; this time the sidestep is—as one would expect—to F major, the tonic key of the whole Symphony.
The interrupted cadence is also frequently used in popular music. For example, the Pink Floyd song "Bring the Boys Back Home" ends with such a cadence (at approximately 0:45–50).
An inverted cadence (also called a medial cadence) inverts the last chord. It may be restricted only to the perfect and imperfect cadence, or only to the perfect cadence, or it may apply to cadences of all types. To distinguish them from this form, the other, more common forms of cadences listed above are known as radical cadences.
Cadences can also be classified by their rhythmic position:
Metrically accented cadences are considered stronger and are generally of greater structural significance. In the past, the terms masculine and feminine were sometimes used to describe rhythmically "strong" or "weak" cadences, but this terminology is no longer acceptable to some. Susan McClary has written extensively on the gendered terminology of music and music theory in her book Feminine Endings.
The example below shows a metrically unaccented cadence (IV–V–I). The final chord is postponed to fall on a weak beat.
A Picardy third (or Picardy cadence) is a harmonic device that originated in Western music in the Renaissance era. It refers to the use of a major chord of the tonic at the end of a musical section that is either modal or in a minor key. The example below shows a picardy third in the final chord, from J.S. Bach's Jesu, meine Freude (Jesus, My Joy), mm. 12–13.
The example below shows a cadence featuring an upper leading-tone from a well-known 16th-century lamentation, the debate over which was documented in Rome c. 1540. The final three written notes in the upper voice are B–C–D, in which case a trill on C produces D. However, convention implied a C♯, and a cadential trill of a whole tone on the second to last note produces D♯/E♭, the upper leading-tone of D♮. Presumably, the debate was over whether to use C♯–D♯ or C♯–D for the trill.
Medieval and Renaissance cadences are based upon dyads rather than chords. The first theoretical mention of cadences comes from Guido of Arezzo's description of the occursus in his Micrologus, where he uses the term to mean where the two lines of a two-part polyphonic phrase end in a unison.
A clausula or clausula vera ("true close") is a dyadic or intervallic, rather than chordal or harmonic, cadence. In a clausula vera, two voices approach an octave or unison through stepwise motion in contrary motion.
In three voices, the third voice often adds a falling fifth creating a cadence similar to the authentic cadence in tonal music.
According to Carl Dahlhaus, "as late as the 13th century the half step was experienced as a problematic interval not easily understood, as the remainder between the perfect fourth and the ditone:
In a melodic half step, listeners of the time perceived no tendency of the lower tone toward the upper, or the upper toward the lower. The second tone was not the 'goal' of the first. Instead, musicians avoided the half step in clausulas because, to their ears, it lacked clarity as an interval. Beginning in the 13th century, cadences begin to require motion in one voice by half step and the other a whole step in contrary motion.
A plagal cadence was found occasionally as an interior cadence, with the lower voice in two-part writing moving up a perfect fifth or down a perfect fourth.
A pause in one voice may also be used as a weak interior cadence. The example below, Lassus's Qui vult venire post me, mm. 3–5, shows a pause in the third measure.
In counterpoint, an evaded cadence is one where one of the voices in a suspension does not resolve as expected, and the voices together resolved to a consonance other than an octave or unison (a perfect fifth, a sixth, or a third).
The Corelli cadence, or Corelli clash, named for its association with the violin music of the Corelli school, is a cadence characterized by a major and/or minor second clash between the tonic and the leading-tone or the tonic and supertonic. An example is shown below.
Another "clash cadence", the English cadence, is a contrapuntal pattern particular to the authentic or perfect cadence. It features the blue seventh against the dominant chord, which in the key of C would be B♭ and G–B♮–D. Popular with English composers of the High Renaissance and Restoration periods in the 16th and 17th centuries, the English cadence is described as sounding archaic or old-fashioned. It was first given its name in the 20th century.
The hallmark of this device is the dissonant augmented octave (compound augmented unison) produced by a false relation between the split seventh scale degree, as shown below in an excerpt from O sacrum convivium by Thomas Tallis. The courtesy accidental on the tenor's G♮ is editorial.
A Landini cadence (also known as a Landini sixth, Landini sixth cadence, or under-third cadence) is a cadence that was used extensively in the 14th and early 15th century. It is named after Francesco Landini, a composer who used them profusely. Similar to a clausula vera, it includes an escape tone in the upper voice, which briefly narrows the interval to a perfect fifth before the octave.
The classical and romantic periods of musical history provide many examples of the way the different cadences are used in context.
Mozart’s Romanze from his Piano Concerto No. 20 follows a familiar pattern of a pair of phrases, one ending with a half (imperfect) cadence and the other with an authentic cadence:
The presto movement from Beethoven’s String Quartet Op 130 follows the same pattern, but in a minor key:
The Hallelujah Chorus from Handel’s Messiah culminates powerfully with an iterated plagal cadence:
Debussy’s prelude ‘La Fille aux Cheveux de Lin’ contains a plagal cadence in its 2nd and 3rd bars :
One of the most famous endings in all music is found in the concluding bars of Wagner’s opera Tristan und Isolde, where the dissonant chord in the opening phrase of the opera is finally resolved "three enormous acts and five hours later" in the form of a minor plagal cadence:
In Bach's harmonization of the chorale ‘Wachet auf’, a phrase ending in a deceptive cadence repeats with the cadence changed to an authentic one:
The exposition of the first movement of Beethoven’s Piano Sonata No. 21 (The Waldstein Sonata), Op. 53 features a minor key passage where an authentic (perfect) cadence precedes a deceptive (interrupted) one:
Dvořák’s Slavonic Dance, Op. 72, No. 2 features deceptive (interrupted), half (imperfect) and authentic (perfect) cadences within its first sixteen bars:
Debussy's Prelude “La fille aux cheveux de lin” (see also above) concludes with a passage featuring a deceptive (interrupted) cadence that progresses, not from V–VI, but from V–IV:
Some varieties of deceptive cadence that go beyond the usual V–VI pattern lead to some startling effects. For example, a particularly dramatic and abrupt deceptive cadence occurs in the second Presto movement of Beethoven’s Piano Sonata No. 30, Op. 109, bars 97–112, "a striking passage that used to pre-occupy theorists". The music at this point is in B minor, and carries the expectation is that the chord of F sharp (Chord V) will be followed by the tonic chord of B. However, "Dynamics become softer and softer; dominant and tonic chords of B minor appear isolated on the first beat of a bar, separated by silences: until in sudden fortissimo ... the recapitulation bursts on us in the tonic E minor, the B minor dominants left unresolved."
An equally startling example occurs in J.S. Bach's Toccata and Fugue in F major, BWV 540:
According to Richard Taruskin, in this Toccata, "the already much-delayed resolution is thwarted (m204) by what was the most spectacular 'deceptive cadence' anyone had composed as of the second decade of the eighteenth century ... producing an especially pungent effect." Hermann Keller describes the effect of this cadence as follows: "the splendour of the end with the famous third inversion of the seventh chord, who would not be enthralled by that?"
Chopin's Fantaisie, Op. 49, composed over a century later in 1841, features a similar harmonic jolt:
A deceptive cadence is a useful means for extending a musical narrative. In the closing passage of Bach’s Prelude in F minor from Book II of the Well-Tempered Clavier, the opening theme returns and seems headed towards a possible final resolution on an authentic (perfect) cadence. What the listener may expect is:
Instead, at bar 60, Bach inserts a deceptive cadence (V–VI in F minor), leading to a lengthy digression of some dozen bars before reaching resolution on the final (V–I) cadence.
A similar passage occurs at the conclusion of Mozart's Fantasia in D minor, K397:
In jazz, a cadence is often referred to as a turnaround, chord progressions that lead back and resolve to the tonic (for example, the ii–V–I turnaround). Turnarounds may be used at any point and not solely before the tonic.
Half-step cadences are common in jazz if not cliché. For example, the ascending diminished seventh chord half-step cadence, which—using a secondary diminished seventh chord—creates momentum between two chords a major second apart (with the diminished seventh in between).
The descending diminished seventh chord half-step cadence is assisted by two common tones.
Rhythmic cadencesoften feature a final note longer than the prevailing note values and this often follows a characteristic rhythmic pattern repeated at the end of the phrase. The example below shows a characteristic rhythmic cadence at the end of the first phrase of J.S. Bach's Brandenburg Concerto No. 3 in G major, BMV 1048, mvmt. I, mm. 1–2: