He is reputed to have observed that when the lengths of vibrating strings are expressible as ratios of integers ( e. g. 2 to 3, 3 to 4 ), the tones produced will be harmonious.

Specific exceptions are made for cases in which the addition of a period or comma could create confusion, such as the quotation of web addresses or certain types of data strings.

According to the Jargon File, American hackers switched to what they later discovered to be the British quotation system because placing a period inside a quotation mark can change the meaning of data strings that are meant to be typed character-for-character.

They are also used to implement many other data structures, such as lists and strings.

Arrays are used to implement other data structures, such as heaps, hash tables, deques, queues, stacks, strings, and VLists.

The strings are gathered at the tail like an archtop guitar, but the top is flatter.

When compressed, the crystal produces a small electrical current, so when placed under the bridge saddle, the vibrations of the strings through the saddle, and of the body of the instrument, are converted to a weak electrical signal.

" Iroquois are also known for " embossed " beading in which strings pulled taunt force beads to pop up from the surface, creating a bas-relief.

Badminton racquets are lightweight, with top quality racquets weighing between 70 and 95 grams ( 2. 4 to 3. 3 ounces ) not including grip or strings.

Badminton strings are thin, high performing strings in the range of about 0. 62 to 0. 73 mm thickness.

Thicker strings are more durable, but many players prefer the feel of thinner strings.

Some string manufacturers measure the thickness of their strings under tension so they are actually thicker then than specified when slack.

Bronze strings are commonly reserved on pianoforte for the lower pitch tones, as they possess a superior sustain quality to that of high-tensile steel.

All have three-sided bodies, spruce or fir tops, backs made of three to nine wooden sections ( usually maple ), and they are typically strung with three strings.

The most common solo instrument is the prima, which is tuned E-E-A ( thus the two lower strings are tuned to the same pitch ).

Today, nylon strings are commonly used in place of gut.

equals because there are three x, y strings of length 3 with exactly two ys, namely,

* All six strings are made from nylon, or nylon wrapped with metal, as opposed to the metal strings found on other acoustic guitars.

The lower three strings (' bass strings ') are wound with metal, commonly silver plated copper.

The strings ' vibrating length is determined when the strings are pressed down behind the frets.

The paired strings are joined at opposite ends of freely moving short levers so that while playing, manually tensioning one of the strings raises the pitch of its linked pair.

The mandolin's paired strings facilitate this technique: the plectrum ( pick ) strikes each of a pair of strings alternately, providing a more full and continuous sound than a single string would.

Sometimes it carried the Italian equivalent, notturno, such as Wolfgang Amadeus Mozart's quadraphonic Notturno in D, K. 286, written for four lightly echoing separated ensembles of paired horns with strings, and his Serenata Notturna, K. 239.

A second tuning, reported by William Bingley ( A Tour Round North Wales ; London: 1800 ), features the drones tuned in octaves, with the strings over the fingerboard tuned in paired fifths rather than seconds.

* Regular tunings of stringed instruments, tunings with equal intervals between the paired notes of successive open strings.

The disadvantage of the paired design is that it generally limits the spinet to a single choir of strings, at eight-foot pitch.

A simple example of such a language is the complement of the halting language ; that is the language consisting of all Turing machines paired with input strings where the Turing machines do not halt on their input.

Vihuela is a name given to two different guitar-like string instruments: one from 15th and 16th century Spain, usually with 12 paired strings, and the other, the Mexican vihuela, from 19th century Mexico with five strings and typically played in Mariachi bands.

Unlike modern guitars, which often use steel and bronze strings, vihuela were gut strung, and usually in paired courses.

The aşıks were essentially minstrels who travelled through Anatolia performing their songs on the bağlama, a mandolin-like instrument whose paired strings are considered to have a symbolic religious significance in Alevi / Bektashi culture.

The aşıks were essentially minstrels who travelled through Anatolia performing their songs on the bağlama, a mandolin-like instrument whose paired strings are considered to have a symbolic religious significance in Alevi / Bektashi culture.

He teamed with female vocalist Helen Forrest for many hit duets during World War Two, including " Together ," " I'll Buy That Dream ," and " Long Ago and far Away "; he sang with Judy Garland on two Decca recordings of songs from his film " The Shocking Miss Pilgrim " with Betty Grable ; and he paired repeatedly with the very famous Andrews Sisters ( Patty, Maxene, and LaVerne ) on a dozen or so Decca collaborations, including the Billboard hit " Teresa ," " Great Day ," " My Sin ," and a masterful 1952 rendering of the dramatic ballad " Here in My Heart ," backed by the sisters and Nelson Riddle's lush strings.

As an oud player, he was a major innovator, introducing left-hand pizzicato, bidirectional picking ( the tradition had been to use the pick only on the downstroke ), double stops, and novel tunings ( sometimes using open tunings or tuning the paired strings in octaves instead of to a single note ).

All took their name and some characteristics from the Persian tanbur but also resemble the mandolin, in that its strings are plucked and often paired.

It has eight strings in four paired courses, tuned in 5ths like a mandolin, but is larger, and tuned CC-GG-dd-aa ( low to high in pitch ).

Rather than having only six strings, the 12-string guitar has six courses made up of two strings each, like a mandolin or lute.

As with a piano, the purpose of using multiple strings per course is to make the instrument louder, although as the courses are rarely in perfect unison, a chorus effect usually results like a mandolin.

The lute's strings are arranged in courses, of two strings each, though the highest-pitched course usually consists of only a single string, called the chanterelle.

The courses are numbered sequentially, counting from the highest pitched, so that the chanterelle is the first course, the next pair of strings is the second course, etc.

The courses are tuned in unison for high and intermediate pitches, but for lower pitches one of the two strings is tuned an octave higher ( the course at which this split starts changed over the history of the lute ).

At the end of the lute's evolution the archlute, theorbo and torban had long extensions attached to the main tuning head in order to provide a greater resonating length for the bass strings, and since human fingers are not long enough to stop strings across a neck wide enough to hold 14 courses, the bass strings were placed outside the fretboard, and were played " open ", i. e. without fretting / stopping them with the left hand.

Early mandolins had six double courses of gut strings, tuned similarly to lutes, and plucked with the fingertips.

Modern mandolins — which originated in Naples, Italy in the late 18th century — commonly have four double courses ( four pairs ) of metal strings, which are plucked with a plectrum.

These mandolins can have four or five individual or double courses of strings.

Over subsequent centuries, the strings were doubled to courses, and eventually ( in Europe ) frets were added, leading to the first lute appearing in the thirteenth century.

Usually, courses of 2 adjacent strings are doubled ( tuned to the same pitch ).

It typically has 10 strings in five courses of 2 strings each, but other variations exist.

The charango has five pairs ( or courses ) of strings, typically tuned GCEAE.

Another approach is the use of frets that extend only partway across the fretboard so that some courses of strings are fretted and others fretless, for example Ryszard Latecki's Latar.

The most commonly used string folk instrument in Turkey, the bağlama has seven strings divided into courses of two, two and three.

The three-course has three pairs of strings ( known as courses ), and the four-course has four pairs of strings.