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Topic: Compound interval


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In the News (Tue 17 Nov 09)

  
  Interval (music) - Wikipedia, the free encyclopedia   (Site not responding. Last check: 2007-11-01)
Intervals may also be labelled according to their diatonic functionality, as is commonly done for tonal music, and according to the number of notes they span in a diatonic scale.
Intervals may also be described as narrow and wide or small and large, consonant and dissonant or stable and unstable, weak and strong, simple and compound, vertical (or harmonic) and linear (or melodic), and, if linear as steps or skips.
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.
www.encyclopedia-online.info /Interval_(music)   (2556 words)

  
 Jazz chords - Wikipedia, the free encyclopedia
Compound intervals are those intervals greater than an octave.
This is a standardised method frequently used when describing Jazz chords as it shows them hierarchically, in that the lower intervals (third, fifth and seventh) tend to be more important in defining the chord to the listener than the upper intervals or extensions (9th, 11th, 13th).
The interval of the sixth is used even though it is described after other compound intervals, and perhaps should also be a compound interval (i.e.
en.wikipedia.org /wiki/Jazz_chords   (1050 words)

  
 Physical Acoustics of Tuning Systems
Musical intervals are usually measured from the lower note to the higher in which case numerically the interval must be greater than or equal to 1.
The interval of a twelfth is represented by the ratio 3 / 1.
1.8 Inversion of an Interval and the Interval of a Fourth
www.midicode.com /tunings/acoustics.shtml   (1486 words)

  
 Music Terms
The interval between the tonic and the seventh tone of a diatonic scale; in the key of C major, C to B is a seventh.
The interval between the tonic and the sixth tone of a diatonic scale; in the key of C major, C to A is a sixth.
The interval between the tonic and the third tone of a diatonic scale; in the key of C major, C to E is a third.
www.victoriapacking.com /musicinfo.html   (3995 words)

  
 Music's interval number names explained_page 3_@TheCipher.com
Compound intervals are essentially repeats or duplicates of intervals available in the first octave.
Compound intervals are exactly one octave wider than their first octave counterparts.
Thus (in C Major), D in all octaves is marked “M” or “Maj.”, and the intervals C to the G in either the first or second octave (Figure 19) are both “perfect” intervals, i.e.
www.thecipher.com /intervals_3.html   (1089 words)

  
 Interval (music)
Specific intervals are the interval class or number of semitones between scale degrees or collection members, and generic intervals are the number of scale steps between notes of a collection or scale.
An interval may be inverted, by raising the lower pitch an octave, or lowering the upper pitch an octave (though it is less usual to speak of inverting unisons or octaves).
The inversion of a major interval is a minor interval (and vice versa); the inversion of a perfect interval is also perfect; the inversion of an augmented interval is a diminished interval (and vice versa); and the inversion of a double augmented interval is a double diminished interval (and vice versa).
www.mp3.fm /Interval_(music).htm   (2104 words)

  
 Marco Accattatis: bassist, composer - Online Lessons: Intervals   (Site not responding. Last check: 2007-11-01)
The fact that the interval number and the corresponding number of half steps do not match (with the exception of the 2nd) might seem a little confusing at first, but remember that there is no relation between the two whatsoever.
Compound intervals, as we said, have the same behaviour of their simple components; the only difference is in their numerical number.
In order to isolate the simple interval in a compound one we subtract the number "7" from the numerical number of the latter until we obtain a number between 1 and 8.
www.accattatis.com /lessons/intervals.html   (1171 words)

  
 LilyTears: Music
The intervals that can be minor or major are so because in the conventional scales and chords they frequently vary between those two qualities or interval sizes.
If the interval of a minor second were enlarged by an octave, it would become a minor ninth, the major second would become a major ninth, the minor third a minor tenth and so on.
Intervals smaller than an octave are called simple, and those larger than an octave are called compound.
lilytears.com /arts/music/eartraining.htm   (1552 words)

  
 Music Theory   (Site not responding. Last check: 2007-11-01)
The inversion of an interval means that the lower tone of an interval becomes the higher tone, or the higher tone becomes the lower tone.
Intervals greater than an octave are called compound intervals.
The compound intervals are often labeled as their simple evuivalents-as if an octave were removed from the interval.
classicalguitar.homeip.net /Lesson2.htm   (553 words)

  
 Intervals - The Method Behind the Music
An interval containing eight pitch positions (from A to A or from G to G) is called an octave.
Diminished intervals are labeled with a "d," the abbreviations "dim" or "deg," or a "°." For example, if the perfect fifth from C to G above were changed to a C to Gb, the interval would become a diminished fifth, or °5.
These intervals are often labeled as their simple equivalents, as if an octave had been removed from the interval.
www.numbera.com /musictheory/theory/intervals.aspx   (696 words)

  
 Dolmetsch Online - Music Theory Online - Intervals
In the case of a melodic interval this is true whether, in the melody, the upper precede the lower note or the lower precedes the upper.
The interval from C to C sharp is called the augmented unison or the augmented prime - 'unison' because the note names are the same (both Cs), 'augmented' because the interval is one semitone greater than a 'perfect' unison.
Diatonic intervals are all those whose notes can both be found in at least one major or harmonic minor scale (example: F and B are both found in C major); all other intervals are chromatic (for example F and B#, since no major or harmonic minor scale includes both of them).
www.dolmetsch.com /musictheory12.htm   (1895 words)

  
 Inverted intervals explained_page 2_@TheCipher.com
Intervals paired in the center column (highlighted in gray) are expressed using standard interval number-names.
Any difficulties or conceptual problems you have when dealing with compound intervals, inverted or not, can be side-stepped to a large degree if, as a rule, you always think of compound intervals as their first-octave counterparts.
The relationship of inverted intervals to the octave interval is examined in Figure 15.
www.thecipher.com /inversions-intervals_2.html   (1244 words)

  
 Event Logic
Intervals of constant truth value for a given force-dynamic relation are taken to be primitive event occurrences.
It is specified as a sequence of three intervals, where x is not attached to and does not support y in the first interval but is attached to and does support y in the third interval.
During the second interval, intermediate between the first and third intervals, either x is attached to y or y is attached to z.
www.cs.cmu.edu /afs/cs/project/jair/pub/volume15/siskind01a-html/node3.html   (1807 words)

  
 [No title]
Compound interest is of most importance to investors who are able to leave their investment to grow over long periods of time.
It's only when interest is compounded over longer periods of time that the effects of compound interest are obvious.
It was common for many years for banks to compound interest quarterly - that is, every 3 months they would look at the balance of the account and add interest to the balance, at one-fourth their advertised annual rate.
www.garybeene.com /retire/ret-comp.htm   (715 words)

  
 307. Mancozeb (WHO Pesticide Residues Series 4)
The tolerances are expressed and residues calculated as parent compound, as zineb, or as the CS moiety.
It has been shown that the breakdown of the compound in plants and animals is qualitatively similar, and proceeds through a series of intermediates; the structures of most of them have been clarified.
It may therefore be of value, in order to detect exaggerated uses of these compounds, to establish maximum residue limits on the combined basis of either the ethylenediamine or the CS moiety of the EBDC molecule, and the ETU content.
www.inchem.org /documents/jmpr/jmpmono/v074pr30.htm   (3895 words)

  
 TonalityGUIDE: DefinitionBANK   (Site not responding. Last check: 2007-11-01)
Interval labels indicate the number of lines and spaces a written interval spans.
How an interval is written depends firstly on the key signature and secondly on voice-leading.
If an interval consists of an octave plus one of the above intervals it is called a compound interval.
www.tonalityguide.com /definition.php?whichdefinition=definterval   (294 words)

  
 Sonic Glossary: Interval
Thus the interval that we heard at the beginning of this entry, for example, was a minor sixth.
Diminished and augmented intervals occur less frequently than the other three, and happen usually when the music to which they belong is in a style that we call chromatic.
Interval is one of the most powerful driving forces in music of all types.
www.columbia.edu /ccnmtl/draft/paul/sonic/interval.html   (1667 words)

  
 College Algebra Tutorial on Linear Inequalities
Interval notation is a way to notate the range of values that would make an inequality true.
In general, when using interval notation, you always put the smaller value of the interval first (on the left side), put a comma between the two ends, then put the larger value of the interval (on the right side).
This time we have a mixed interval since we are including where it is equal to -6, but not equal to 8.
www.wtamu.edu /academic/anns/mps/math/mathlab/col_algebra/col_alg_tut22_linineq.htm   (3842 words)

  
 Music Theory Glossary   (Site not responding. Last check: 2007-11-01)
Intervals may be measured in a number of ways; e.g.
intervals in an upward direction are changed to the same intervals downward.
The root of odd numbered scalar intervals is the lower pitch and the upper pitch for even numbered (scalar) intervals.
cctr.umkc.edu /user/bauera/Gloss.html   (3762 words)

  
 Music Theory Dictionary - The Method Behind the Music
Compound intervals are usually expressed as simple equivalents (the "extra" octave is subtracted).
An ascending interval in a melody becomes as Descending interval (and vice versa) of the same size in the inversion of the melody.
The interval distance between voices or pitches of a chord.
www.numbera.com /musictheory/theory/dictionary.aspx   (1596 words)

  
 CLASSICAL MUSIC ARCHIVES: Definition of INTERVAL
If any major interval be chromatically reduced by a semitone it becomes minor; if any perfect or minor interval be so reduced it becomes diminished; if any perfect or major interval be increased by a semitone it becomes augmented.
It will also be found that perfect intervals remain perfect (C up to G a perfect 5th; G up to C a perfect 4th, etc.), while major ones become minor, minor become major, augmented become diminished, and diminished become augmented.
The concordant comprise all perfect intervals and all major and minor 3rds and 6ths; the discordant comprise all augmented and diminished intervals and all 2nds and 7ths.
www.classicalarchives.com /dict/interval.html   (404 words)

  
 Hands-on Intervals by Oleg Twerdov
Interval is a distance between two notes measured by number of semitones, or half-steps.
So, the interval between Low E and High E would be 5+5+5+4+5=24 frets (two octaves).
To be able to build all interval types we have to move horizontally as well as vertically.
www.guitarnoise.com /print_article.php?id=470   (532 words)

  
 COMPOUND INTEREST
In words, the balance at the end of a new compounding period is the balance at the end of the preceding period plus the interest that older balance earned during the compounding period.
Thus compounding more frequently produces more interest (subject to the assumption that T is a whole number multiple of the compounding period).
If T is not a multiple of the compounding period, the conclusion depends strongly on the account's policies on withdrawals in the middle of a compounding period.
www.math.hawaii.edu /~ramsey/CompoundInterest.html   (1286 words)

  
 Music Terms - Get Ready - Austin Symphony
In counterpoint, a melody that is repeated exactly by a different voice, entering a short interval after the original voice.
Groups of notes that are the interval of a second apart from one another.
An interval greaterthan an octave, such as a ninth, or eleventh.
www.austinsymphony.org /music/index.asp?LT=C   (604 words)

  
 Solomon's Music Glossary   (Site not responding. Last check: 2007-11-01)
Compound terms, those having more than one word, are hyphenated here in order to indicate their integrity as a single concept and to avoid confusion in cross-referencing them in the definitions of other terms.
Often cadences are associated with harmonic or melodic formulae; e.g., an authentic cadence is a stop with the chords V to I. A "Landini cadence" is a melodic formula that proceeds as 8-7-7-6-8 (scale degrees).
Intervals may be measured in a number of ways; e.g., by counting the number of semitones, subtracting frequencies, etc. Counting semitones is used in set theory.
solomonsmusic.net /glossary.htm   (13322 words)

  
 intervals
Simple intervals are within one octave (numbers 1-8), where compound intervalsgo beyond one octave, often considered to be of the nature octaves+interval.
The minor tenth (m10,b10), augmented ninth (aug9,#9) is the compound interval of an octave plus a minor third (or aug 2nd).
The augmented eleventh (aug11,#11), is the compound interval of an octave plus a augmented fourth.
members.aol.com /snglstringtheory/archive/may9.html   (971 words)

  
 Music Theory for Guitar- Intervals Part1
Most concepts in music theory are expressed in terms of intervals so the better you know this terminology, the better your understanding of music theory will be.
The most common simple intervals are unison, minor second, major second, minor third, major third, perfect fourth, tritone, perfect fifth, minor sixth, minor seventh, major seventh, but also include any interval below an eighth, or the octave.
The interval number of a note from a given tonic note is the number of staff positions enclosed within the interval
www.myguitarworkshop.com /Theory/intervals/intervals_1.htm   (346 words)

  
 Mailgate: rec.music.theory: Re: interval dissonance   (Site not responding. Last check: 2007-11-01)
A compound interval such as a minor 9th would have a ratio of 32/15 or 54/25.
The most consonant intervals generally have ratios of small whole numbers of the form (n+1)/n.
While a minor 2d of 16/15 is probably pushing the small whole number criterion, the fact that it is less than a minor third is the primary problem.
mailgate.supereva.it /rec/rec.music.theory/msg23600.html   (265 words)

  
 CPSC 115 Lab7: Compound Interest Problem   (Site not responding. Last check: 2007-11-01)
Compounding is the payment of "interest on interest." At the end of each compounding interval, interest is computed and added to principal.
This sum becomes the principal on which interest is computed at the end of the next interval.
The process continues until the end of the final compounding interval is reached.
starbase.trincoll.edu /~cpsc115/labs/ch5.compoundinterest/inlab1.html   (1082 words)

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