|
Sesquialtera (organ Stop)
Sesquialtera ('one and a half') may refer to: * Sesquialterum in mathematics, the ratio 3:2, a superparticular ratio * Sesquialtera or the equivalent Greek term hemiola, three in the time of two as variously used in music theory: ** Sesquialtera commonly describes a tempo proportion in mensural notation Mensural notation is the musical notation system used for European vocal polyphonic music from the later part of the 13th century until about 1600. The term "mensural" refers to the ability of this system to describe precisely measured rhythmi ... ** Hemiola is more common for the temporary substitution of a 2+2+2 musical meter for 3+3 * Sesquialtera (organ stop), combining mutation ranks at 2' and 1', i.e. both 3:2 and 5:4 pitch ratios * ''Sesquialtera'' (moth), a genus of moth in the family Geometridae {{disambiguation ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Superparticular Ratio
In mathematics, a superparticular ratio, also called a superparticular number or epimoric ratio, is the ratio of two consecutive integer numbers. More particularly, the ratio takes the form: :\frac = 1 + \frac where is a positive integer. Thus: Superparticular ratios were written about by Nicomachus in his treatise ''Introduction to Arithmetic''. Although these numbers have applications in modern pure mathematics, the areas of study that most frequently refer to the superparticular ratios by this name are music theory and the history of mathematics. Mathematical properties As Leonhard Euler observed, the superparticular numbers (including also the multiply superparticular ratios, numbers formed by adding an integer other than one to a unit fraction) are exactly the rational numbers whose continued fraction terminates after two terms. The numbers whose continued fraction terminates in one term are the integers, while the remaining numbers, with three or more terms in their c ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hemiola
In music, hemiola (also hemiolia) is the ratio 3:2. The equivalent Latin term is sesquialtera. In rhythm, ''hemiola'' refers to three beats of equal value in the time normally occupied by two beats. In pitch, ''hemiola'' refers to the interval of a perfect fifth. Etymology The word ''hemiola'' comes from the Greek adjective ἡμιόλιος, ''hemiolios'', meaning "containing one and a half," "half as much again," "in the ratio of one and a half to one (3:2), as in musical sounds." The words "hemiola" and "sesquialtera" both signify the ratio 3:2, and in music were first used to describe relations of pitch. Dividing the string of a monochord in this ratio produces the interval of a perfect fifth. Beginning in the 15th century, both words were also used to describe rhythmic relationships, specifically the substitution (usually through the use of coloration—red notes in place of black ones, or black in place of "white", hollow noteheads) of three Mensural notation#Proportions a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Time Signature
The time signature (also known as meter signature, metre signature, or measure signature) is a notational convention used in Western musical notation to specify how many beats (pulses) are contained in each measure (bar), and which note value is equivalent to a beat. In a music score, the time signature appears at the beginning as a time symbol or stacked numerals, such as or (read ''common time'' or ''four-four time'', respectively), immediately following the key signature (or immediately following the clef symbol if the key signature is empty). A mid-score time signature, usually immediately following a barline, indicates a change of meter. There are various types of time signatures, depending on whether the music follows regular (or symmetrical) beat patterns, including simple (e.g., and ), and compound (e.g., and ); or involves shifting beat patterns, including complex (e.g., or ), mixed (e.g., & or & ), additive (e.g., ), fractional (e.g., ), and irrational met ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mensural Notation
Mensural notation is the musical notation system used for European vocal polyphonic music from the later part of the 13th century until about 1600. The term "mensural" refers to the ability of this system to describe precisely measured rhythmic durations in terms of numerical proportions between note values. Its modern name is inspired by the terminology of medieval theorists, who used terms like ''musica mensurata'' ("measured music") or ''cantus mensurabilis'' ("measurable song") to refer to the rhythmically defined polyphonic music of their age, as opposed to ''musica plana'' or ''musica choralis'', i.e., Gregorian plainchant. Mensural notation was employed principally for compositions in the tradition of vocal polyphony, whereas plainchant retained its own, older system of neume notation throughout the period. Besides these, some purely instrumental music could be written in various forms of instrument-specific tablature notation. Mensural notation grew out of an earlier, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Musical Meter
In music, metre (British English, Commonwealth spelling) or meter (American and British English spelling differences#-re, -er, American spelling) refers to regularly recurring patterns and accents such as bar (music), bars and Beat (music), beats. Unlike rhythm (music), rhythm, metric onsets are not necessarily sounded, but are nevertheless implied by the performer (or performers) and expected by the listener. A variety of systems exist throughout the world for organising and playing metrical music, such as the Indian system of ''Tala (music), tala'' and similar systems in Rhythm in Arabic music, Arabic and Rhythm in Sub-Saharan Africa, African music. Western music inherited the concept of metre from poetry, where it denotes: the number of lines in a Verse (poetry), verse; the number of syllables in each line; and the arrangement of those syllables as long or short, accented or unaccented. The first coherent system of rhythmic notation in modern Western music was based on rhythmi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sesquialtera (organ Stop)
Sesquialtera ('one and a half') may refer to: * Sesquialterum in mathematics, the ratio 3:2, a superparticular ratio * Sesquialtera or the equivalent Greek term hemiola, three in the time of two as variously used in music theory: ** Sesquialtera commonly describes a tempo proportion in mensural notation Mensural notation is the musical notation system used for European vocal polyphonic music from the later part of the 13th century until about 1600. The term "mensural" refers to the ability of this system to describe precisely measured rhythmi ... ** Hemiola is more common for the temporary substitution of a 2+2+2 musical meter for 3+3 * Sesquialtera (organ stop), combining mutation ranks at 2' and 1', i.e. both 3:2 and 5:4 pitch ratios * ''Sesquialtera'' (moth), a genus of moth in the family Geometridae {{disambiguation ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
.jpg "Click for more on -> Musical Meter")