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Diesis

Index Diesis

In classical music from Western culture, a diesis ("difference"; Greek: δίεσις "leak" or "escape"Benson, Dave (2006). Music: A Mathematical Offering, p.171.. Based on the technique of playing the aulos, where pitch is raised a small amount by slightly raising the finger on the lowest closed hole, letting a small amount of air "escape".) is either an accidental (see sharp), or a very small musical interval, usually defined as the difference between an octave (in the ratio 2:1) and three justly tuned major thirds (tuned in the ratio 5:4), equal to 128:125 or about 41.06 cents. [1]

40 relations: Accidental (music), Alexander John Ellis, Ancient Greek, Aulos, Cent (music), Classical music, Comma (music), Diaschisma, Diminished second, Ditone, Don Michael Randel, Enharmonic, Equal temperament, Harvard Dictionary of Music, Hermann von Helmholtz, Interval (music), Interval ratio, Jean-Philippe Rameau, Just intonation, Limma, Octave, Philolaus, Pythagorean comma, Pythagorean tuning, Quarter-comma meantone, Schisma, Sensations of Tone, Septimal diesis, Septimal minor third, Septimal whole tone, Sharp (music), Sic, Slendro, Superparticular ratio, Syntonic comma, Traité de l'harmonie réduite à ses principes naturels, Unison, Western culture, 19 equal temperament, 31 equal temperament.

Accidental (music)

In music, an accidental is a note of a pitch (or pitch class) that is not a member of the scale or mode indicated by the most recently applied key signature.

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Alexander John Ellis

Alexander John Ellis, (14 June 1814 – 28 October 1890) was an English mathematician, philologist and early phonetician, who also influenced the field of musicology.

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Ancient Greek

The Ancient Greek language includes the forms of Greek used in ancient Greece and the ancient world from around the 9th century BC to the 6th century AD.

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Aulos

An aulos (αὐλός, plural αὐλοί, auloi) or tibia (Latin) was an ancient Greek wind instrument, depicted often in art and also attested by archaeology.

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Cent (music)

The cent is a logarithmic unit of measure used for musical intervals.

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Classical music

Classical music is art music produced or rooted in the traditions of Western culture, including both liturgical (religious) and secular music.

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Comma (music)

In music theory, a comma is a minute interval, the difference resulting from tuning one note two different ways.

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Diaschisma

The diaschisma (or diacisma) is a small musical interval defined as the difference between three octaves and four perfect fifths plus two major thirds (in just intonation).

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Diminished second

In modern Western tonal music theory, a diminished second is the interval produced by narrowing a minor second by one chromatic semitone.

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Ditone

In music, a ditone (from, "of two tones") is the interval of a major third.

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Don Michael Randel

Don Michael Randel (born December 9, 1940) is an American musicologist, specializing in the music of the Middle Ages and Renaissance in Spain and France.

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Enharmonic

In modern musical notation and tuning, an enharmonic equivalent is a note, interval, or key signature that is equivalent to some other note, interval, or key signature but "spelled", or named differently.

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Equal temperament

An equal temperament is a musical temperament, or a system of tuning, in which the frequency interval between every pair of adjacent notes has the same ratio.

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Harvard Dictionary of Music

The Harvard Dictionary of Music is a standard music reference book published by the Belknap Press of Harvard University Press.

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Hermann von Helmholtz

Hermann Ludwig Ferdinand von Helmholtz (August 31, 1821 – September 8, 1894) was a German physician and physicist who made significant contributions in several scientific fields.

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Interval (music)

In music theory, an interval is the difference between two pitches.

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Interval ratio

In music, an interval ratio is a ratio of the frequencies of the pitches in a musical interval.

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Jean-Philippe Rameau

Jean-Philippe Rameau (–) was one of the most important French composers and music theorists of the 18th century.

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Just intonation

In music, just intonation (sometimes abbreviated as JI) or pure intonation is any musical tuning in which the frequencies of notes are related by ratios of small whole numbers.

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Limma

The word limma or leimma (remnant) can refer to several different musical intervals, whose only common property is their small size.

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Octave

In music, an octave (octavus: eighth) or perfect octave is the interval between one musical pitch and another with half or double its frequency.

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Philolaus

Philolaus (Φιλόλαος, Philólaos) was a Greek Pythagorean and pre-Socratic philosopher.

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Pythagorean comma

In musical tuning, the Pythagorean comma (or ditonic comma), named after the ancient mathematician and philosopher Pythagoras, is the small interval (or comma) existing in Pythagorean tuning between two enharmonically equivalent notes such as C and B, or D and C. It is equal to the frequency ratio (1.5)12/128.

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Pythagorean tuning

Pythagorean tuning is a system of musical tuning in which the frequency ratios of all intervals are based on the ratio 3:2.

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Quarter-comma meantone

Quarter-comma meantone, or -comma meantone, was the most common meantone temperament in the sixteenth and seventeenth centuries, and was sometimes used later.

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Schisma

In music, the schisma (also spelled skhisma) is the interval between a Pythagorean comma (531441:524288) and a syntonic comma (81:80) and equals 32805:32768, which is 1.9537 cents.

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Sensations of Tone

On the Sensations of Tone as a Physiological Basis for the Theory of Music (German Die Lehre von den Tonempfindungen als physiologische Grundlage für die Theorie der Musik), commonly referred to as Sensations of Tone, is a foundational work on acoustics and the perception of sound by Hermann von Helmholtz.

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Septimal diesis

In music, septimal diesis (or slendro diesis) is an interval with the ratio of 49:48, which is the difference between the septimal whole tone and the septimal minor third.

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Septimal minor third

In music, the septimal minor third, also called the subminor third (e.g., by Ellis), is the musical interval exactly or approximately equal to a 7/6 ratio of frequencies.

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Septimal whole tone

In music, the septimal whole tone, septimal major second, or supermajor second is the musical interval exactly or approximately equal to an 8/7 ratio of frequencies.

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Sharp (music)

In music, sharp, dièse (from French), or diesis (from Greek) means higher in pitch.

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Sic

The Latin adverb sic ("thus", "just as"; in full: sic erat scriptum, "thus was it written") inserted after a quoted word or passage indicates that the quoted matter has been transcribed or translated exactly as found in the source text, complete with any erroneous or archaic spelling, surprising assertion, faulty reasoning, or other matter that might otherwise be taken as an error of transcription.

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Slendro

Slendro (called salendro by the Sundanese) is a pentatonic scale, the older of the two most common scales (laras) used in Indonesian gamelan music, the other being pélog.

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Superparticular ratio

In mathematics, a superparticular ratio, also called a superparticular number or epimoric ratio, is the ratio of two consecutive integer numbers.

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Syntonic comma

In music theory, the syntonic comma, also known as the chromatic diesis, the comma of Didymus, the Ptolemaic comma, or the diatonic comma is a small comma type interval between two musical notes, equal to the frequency ratio 81:80 (.

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Traité de l'harmonie réduite à ses principes naturels

Traité de l'harmonie réduite à ses principes naturels (Treatise on Harmony reduced to its natural principles) is a music treatise written by Jean-Philippe Rameau.

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Unison

In music, unison is two or more musical parts sounding the same pitch or at an octave interval, usually at the same time.

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Western culture

Western culture, sometimes equated with Western civilization, Occidental culture, the Western world, Western society, European civilization,is a term used very broadly to refer to a heritage of social norms, ethical values, traditional customs, belief systems, political systems and specific artifacts and technologies that have some origin or association with Europe.

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19 equal temperament

In music, 19 equal temperament, called 19 TET, 19 EDO ("Equal Division of the Octave"), or 19 ET, is the tempered scale derived by dividing the octave into 19 equal steps (equal frequency ratios).

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31 equal temperament

In music, 31 equal temperament, 31-ET, which can also be abbreviated 31-TET, 31-EDO (equal division of the octave), also known as tricesimoprimal, is the tempered scale derived by dividing the octave into 31 equal-sized steps (equal frequency ratios).

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125th subharmonic, 5-limit limma, Dieses, Enharmonic diesis, Greater diesis, Lesser diesis, One-hundred-twenty-fifth harmonic, Small diesis, Undecimal diesis.

References

[1] https://en.wikipedia.org/wiki/Diesis

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