FACTOID # 2: Andorra has no unemployment, which is just as well because they have no broadcast TV channels either. What would everyone watch?
 
 Home   Encyclopedia   Statistics   Countries A-Z   Flags   Maps   Education   Forum   FAQ   About 
 
WHAT'S NEW
RECENT ARTICLES
More Recent Articles »
 

FACTS & STATISTICS    Simple view

  1. Select countries to view: (hold down Control key and click to select several)

     

     

    Compare:

     

     

  1. Select fact or statistic: (* = graphable)

     

     

     

  2. (OPTIONAL) Compare to statistic: (both need to be graphable)

     

     

     

  3. View result as:

     

       
(OR) SEARCH ALL encyclopedia, stats & forums:   

Encyclopedia > Diatonic collection

In music theory, a diatonic scale is a scale whose notes are built on the natural staff positions of lines and spaces, with no accidentals, with or without a key signature. These scales are based on concepts developed by Guido d'Arezzo, and are therefore sometimes referred to as Guido scales. Diatonic music is written primarily using the notes from a diatonic scale; similarly, diatonic chords and diatonic intervals use notes from such a scale. The antonym is chromatic. Music theory is a set of systems for analyzing, classifying, and composing music and the elements of music. ... In music, a scale is an unordered collection of notes or pitches, as opposed to a series of intervals, which is a musical mode. ... In musical notation, the staff or stave is a set of five horizontal lines on which note symbols are placed to indicate pitch and rhythm. ... An accidental is a musical notation symbol used to raise or lower the pitch of a note. ... In musical notation, a key signature is a series of sharp symbols or flat symbols placed on the staff, designating notes that are to be played sharp or flat unless otherwise noted with an accidental. ... Guido of Arezzo or Guido Monaco (995-1050) is regarded as the inventor of modern musical notation (staff notation) that replaced neumatic notation. ... A chord is a geometric figure. ... In music theory, an interval is the distance in pitch between two notes, the lower and higher members of the interval. ... The chromatic scale is any musical scale that contains more than one consecutive half-step (in other words two adjacent pairs of scale degrees or members which are separated by a semitone). ...


Diatonic scales are a fundamental building block of the European musical tradition. It is sometimes used to refer to all the modes, but is generally used only in reference to the major and minor scales. It contains seven notes to the octave, corresponding to the white keys on a piano, obtained from a chain of six successive fifths in some version of meantone temperament, and resulting in two tetrachords separated by intervals of a whole tone. If our version of meantone is the twelve tone equal temperament the pattern of intervals in semitones will be 2-2-1-2-2-2-1. The major scale begins on the first note and proceeds by steps to the first octave. In solfege, the syllables for each scale degree are "Do-Re-Mi-Fa-Sol-La-Ti-Do". Wikibooks Wikiversity has more about this subject: School of Music Wikicities has a wiki related to this article: Music Look up Music in Wiktionary, the free dictionary Music City : a collaborative music database All Music Guide: includes a comprehensive and flexible Genre and Style system MusicWiki: A Collaborative Music-related... In music, a mode is an ordered series of musical intervals, which, along with the key or tonic define the pitches. ... In music, an octave (sometimes abbreviated 8ve or 8va) is the interval between one musical note and another with half or double the frequency. ... This article is about the modern musical instrument. ... In music, interval cycles, unfold a single recurrent interval in a series that closes with a return to the initial pitch class, and are notated by George Perle using the letter C, for cycle, with an interval class integer to distinguish the interval. ... The musical interval of a perfect fifth is the relationship between the first note (the root or tonic) and the fifth note in a major scale. ... Meantone temperament is a system of musical tuning. ... In musical theory, a tetrachord is a series of four diatonic tones encompassing the interval of a perfect fourth. ... In music theory, an interval is the distance in pitch between two notes, the lower and higher members of the interval. ... The musical interval of a major second — also called a whole-tone — is the relationship between the first note (the root or tonic) and the second note in a major scale (and also a minor scale). ... Equal temperament is a scheme of musical tuning in which the octave is divided into a series of equal steps (equal frequency ratios). ... The musical interval of a half step, semitone, or minor second is the relationship between the leading tone and the first note (the root or tonic) in a major scale. ... In music theory, the major scale is one of the diatonic scales. ... In music and sight singing solfege or solmization is a way of assigning syllables to degrees or steps of the diatonic scale. ...


The natural minor scale can be thought of in two ways, the first is as the relative minor of the major scale, beginning on the sixth degree of the scale and proceeding step by step through the same tetrachords to the first octave of the sixth degree. In solfege "La-Ti-Do-Re-Mi-Fa-Sol." Alternately, the natural minor can be seen as a composite of two different tetrachords of the pattern 2-1-2-2-1-2-2. In solfege "Do-Re-Mé-Fa-Sol-Lé-Té-Do." A minor scale in musical theory can be viewed as the sixth mode of the major scale. ...


Western harmony from the Renaissance up until the late nineteenth century is based upon the diatonic scale and the unique hierarchical relationships created by this system of organizing seven notes. It should be kept in mind that most longer pieces of common practice music change key, but this leads to a hierarchical relationship of diatonic scales in one key with those in another. Harmony is the use and study of pitch simultaneity and chords, actual or implied, in music. ... Renaissance music is classical music written during the Renaissance period, approximately 1400 to 1600 CE. Defining the end of the period is easier than defining the beginning, since there were no revolutionary shifts in musical thinking at the beginning of the 15th century corresponding to the sudden development of the... Romantic music is defined as the period of European classical music that runs roughly from the early 1800s to the first decade of the 20th century, as well as music written according to the norms and styles of that period. ... A hierarchy (in Greek hieros, sacred, and arkho, rule) is a system of ranking and organizing things. ... In music, modulation is most commonly the act or process of changing from one key (tonic, or tonal center) to another, also known as a key change. ...


These unique relationships are as follows: Only certain divisions of the octave, 12 and 20 included, allow uniqueness, coherence, and transpositional simplicity, and that only the diatonic and pentatonic subsets of the 12 tone chromatic set follow these constraints (Balzano, 1980, 1982). The diatonic collection contains each interval class a unique number of times (Browne 1981 cited in Stein 2005, p.49, 49n12). Diatonic set theory describes the following properties: maximal evenness, Myhill's property, well formedness, the deep scale property, cardinality equals variety, and structure implies multiplicity. Diatonic set theory is a subdivision or application of musical set theory which applies the techniques and insights of set theory to properties of the diatonic collection such as maximal evenness, Myhills property, well formedness, the deep scale property, cardinality equals variety, and structure implies multiplicity. ... In diatonic set theory maximal evenness is the quality of a collection or scale which for every generic interval there are is either one or two consecutive (adjacent) specific intervals, in other words a scale which is spread out as much as possible. ... In diatonic set theory Myhills property is the quality of scales or collections with exactly two specific intervals for every generic interval, and thus also have the properties of maximal evenness, cardinality equals variety, structure implies multiplicity, and be a well formed generated collection. ... In diatonic set theory a generated collection is a collection or scale formed by repeatedly adding a constant interval in integer notation, the generator, also known as an interval cycle, around the chromatic circle until a complete collection or scale is formed. ... In diatonic set theory the deep scale property is the quality of pitch class collections or scales containing each interval class a unique number of times. ... In diatonic set theory cardinality equals variety is quality of a collection or scale for which the number of notes in a series indicates the number of unique interval patterns formed by diatonic transpositions. ... In diatonic set theory structure implies multiplicity is quality of a collection or scale for which the interval series formed by the shortest distance around a diatonic circle of fifths between member of a series indicates the number of unique interval patterns (adjacently, rather than around the circle of fifths...

Contents

See also

In music, pitch is the perception of the frequency of a note. ... This is a virtual piano with 88 keys tuned to A440, showing the frequencies, in cycles per second (Hz), of each note. ...

Further reading

  • Johnson, Timothy (2003). Foundations of Diatonic Theory: A Mathematically Based Approach to Music Fundamentals. Key College Publishing. ISBN 1930190808.
  • Clough, John (1979). "Aspects of Diatonic Sets", Journal of Music Theory 23: 45-61.

Sources

  • Balzano, Gerald J. (1980). "The Group Theoretic Description of 12-fold and Microtonal Pitch Systems", Computer Music Journal 4: 66-84.
  • Stein, Deborah (2005). Engaging Music: Essays in Music Analysis. New York: Oxford University Press. ISBN 0195170105.
    • Browne, Richmond (1981). "Tonal Implications of the Diatonic Set", In Theory Only 5, nos. 1 and 2: 3-21

External links

  • Diatonic Scale (http://www.ericweisstein.com/encyclopedias/music/DiatonicScale.html) on Eric Weisstein's Treasure trove of Music

  Results from FactBites:
 
Generated collection Information (335 words)
In diatonic set theory a generated collection is a collection or scale formed by repeatedly adding a constant interval in integer notation, the generator, also known as an interval cycle, around the chromatic circle until a complete collection or scale is formed.
The C major diatonic collection may be generated by adding a cycle of perfect fifths (C7) starting at F: F-C-G-D-A-E-B = C-D-E-F-G-A-B. Using integer notation and modulo 12: 5+7 = 0, 0+7 = 7, 7+7 = 2, 2+7 = 9, 9+7 = 4, 4+7 = 11.
A degenerate well-formed collection are scales in which the generator and the interval required to complete the circle or return to the initial note are equivalent and include all scales with equal notes, such as the whole-tone scale.
Diatonic scale - Wikipedia, the free encyclopedia (1265 words)
The modern major and minor scales are diatonic, as are all of the so-called 'church' modes.
Technically speaking, diatonic scales are obtained from a chain of six successive fifths in some version of meantone temperament, and resulting in two tetrachords separated by intervals of a whole tone.
Western harmony from the Renaissance until the late 19th century is based on the diatonic scale and the unique hierarchical relationships, or diatonic functionality, created by this system of organizing seven notes.
  More results at FactBites »


 

COMMENTARY     


Share your thoughts, questions and commentary here
Your name
Your comments
Please enter the 5-letter protection code

Want to know more?
Search encyclopedia, statistics and forums:

 


Lesson Plans | Student Area | Student FAQ | Reviews | Press Releases |  Feeds | Contact
The Wikipedia article included on this page is licensed under the GFDL.
Images may be subject to relevant owners' copyright.
All other elements are (c) copyright NationMaster.com 2003-5. All Rights Reserved.
Usage implies agreement with terms.