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Topic: Perfect fifth


  
 Perfect fifth - Wikipedia, the free encyclopedia
The perfect fifth or diapente is one of three musical intervals that span five diatonic scale degrees; the others being the diminished fifth, which is one semitone smaller, and the augmented fifth, which is one semitone larger.
The strings on violins, violas, and cellos are all tuned to perfect fifths unless in scordatura.
The perfect fifth is considered the most consonant interval outside of the unison and octave.
http://en.wikipedia.org/wiki/Perfect_fifth   (415 words)

  
 Article about "Interval (music)" in the English Wikipedia on 24-Apr-2004
Perfect intervals are never major or minor and major and minor intervals are never perfect.
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.
For atonal music, such as that written using the twelve tone technique or serialism, integer notation is often used, such as in musical set theory.
http://fixedreference.org/en/20040424/wikipedia/Interval_(music)   (1515 words)

  
 Sonic Glossary: Fifth
The perfect fifth is present as one of the harmonics of a single musical tone.
The most common interval for this device was the perfect fifth, and the melody was a piece of plainchant.
The perfect fifth is a crucial component in the key system of modern musical tonality, just as it was in the system of modes in the Middle Ages.
http://www.columbia.edu/ccnmtl/draft/paul/sonic/fifth.html   (996 words)

  
 Dolmetsch Online - Music Theory Online - Intervals
All intervals that are not perfect (the perfect intervals are the unison, fourth, fifth and octave) are called 'major', i.e.
For example, the interval 'C to G' is a perfect fifth while the interval 'C to A double flat' is a diminished sixth, but to the listener, the two intervals played on a modern piano, sound identical.
The sequence for perfect intervals (unisons, octaves, fourths and fifths) is double diminished - diminished - perfect - augmented - double augmented as the interval to the key-note is increasingly widened.
http://www.dolmetsch.com/musictheory12.htm   (1894 words)

  
 [No title]
Perfect Fifth The Triad is the Perfect Fifth, since if a string is divided in the ratio 2:3, the parts will sound at the interval of a Perfect Fifth (C-G), which is the next most consonant interval after the Octave.
The Perfect Unison is the most consonant interval.
C-F. Because the interval between the Perfect Fourth and the Perfect Fifth is a whole tone, it provides the basic unit for constructing a scale.
http://www.cs.utk.edu/~mclennan/BA/JO-TAT.txt   (1485 words)

  
 Keith Prater Online Music School
The perfect fifth is also used to finish a piece of music or phrase.
The Perfect Fifth(P5), gets its' name because one note of the interval is the fifth note of a major scale (ascending or descending) beginning on the other note of the interval, and is exactly seven semitones higher or lower than the other note.
When played harmonically, the Perfect 5th demonstrates tonal focus and harmonic strength based on the lower of the two notes of the interval.
http://www25.brinkster.com/musicschool/course2/lesson6.html   (173 words)

  
 Interval
The inversion of a perfect interval is still perfect.
This unique interval, which cannot be spelled as a major, minor, or perfect interval, is considered unusually dissonant and unstable (tending to want to resolve to another interval) in Western Music.
An interval that is a half-step smaller than a perfect or a minor interval is called diminished.
http://cnx.rice.edu/content/m10867/latest   (1065 words)

  
 (excerpted from another context)
For example, the fifth interval in 1/4 comma meantone temperament is 5.5 cents flat relative to the perfect, Pythagorean fifth interval.
The tunings are named for their fifth intervals flatted from the Pythagorean perfect fifth.
Other temperaments are known as "irregular", having inconsistent fifth intervals, yet also having the potential to close the circle of fifths for entirely chromatic playing, primarily by the piano.
http://www.autoharpworks.com/pages/Post/doc/tune/temperament_names.htm   (625 words)

  
 Chromatic Scale & Major Scale
The interval of seven half-steps is called a perfect fifth or a diminished sixth.
The interval of 8 half-steps is called an augmented fifth or a minor sixth.
The interval of five half-steps is called an augmented third or a perfect fourth.
http://members.aol.com/snglstringtheory/guitar/8theory1.html   (443 words)

  
 Intervals
Historically, the tritone was known as the "interval of the devil"; its position between the perfect 4th and perfect 5th made it quite difficult to sing in tune.
Intervals that are perfect have a certain sound that is variously described by musicians as "pure", "hollow" or "bare".
This interval is a third, and so we know that it is not going to be a perfect interval.
http://projects.edtech.sandi.net/ofarrell/rkinne/myfiles/emt/WW135.html   (1484 words)

  
 The Drone  - Music by Harold Moses
Referred to by Lao Tzu, the Chinese philosopher as "the sound of the harmony of the universe," the perfect fifth is the most stable of all musical intervals.
This pair of notes is described musically as the interval of the Perfect Fifth.
This pair of notes is described musically as the interval of the Perfect Fifth, represented as a "P5".
http://www.musicfortheheart.com/html/drone.html   (1525 words)

  
 iBreatheMusic Forums - Identifying perfect fifth/fourth
I've just achieved perfect pitch and instant recognizing of intervals over a long time by practicing my instrument (piano), by composing and by listening to music.
Actually the second interval is a minor 3rd, but when using such methods to identify intervals in real life it would be too complicated to use two different intervals from the same song.
They both have the same quality (perfect consonance), they don't "beat", and they just sound the same...
http://www.ibreathemusic.com/forums/showthread.php?t=1320   (1420 words)

  
 On Modes, by Jody Nagel
It seems that the essence of the character of a specific seven-note "white-key" diatonic mode can be demonstrated completely by simply juxtaposing (1) the perfect fifth found between scale degrees 1 and 5 and (2) the tritone contained within that mode.
It is convenient to label the various possible tritone relationships with respect to a given "tonic-dominant" perfect fifth based on the name of the mode that ordinarily contains that tritone.
It should be remembered that the "Locrian Tritone" completely displaces the structurally important and tonality-producing perfect fifth, and the Locrian mode is really, therefore, an "atonal" mode.
http://www.jomarpress.com/nagel/articles/OnModes.html   (2227 words)

  
 How to Tune the Violin
The violin is a four-stringed instrument and, like others in the string family, is tuned to intervals of a perfect fifth.
The distance from D to A is a perfect fifth, as explained initially, and what you will be listening for is the “perfection” of the fifth.
Following the tuning of the D string, you will want to tune the G string, or the lowest string on the instrument, that string on the far left as you are facing the violin.
http://www.childrensmusicworkshop.com/instruments/violin/howtotunetheviolin.html   (1164 words)

  
 Intervals
For perfect intervals: with the exception of the intervals between any B and F, (sharp, natural or flat) if the accidentals match (i.e.
Notice that the intervals of an octave, fifth and fourth are identical in both major and minor scales.
Just as the pitches are enharmonically related, intervals that contain the same number of half-steps are referred to as enharmonically equivalent intervals.
http://www.smu.edu/totw/interval.htm   (915 words)

  
 Limit
In the harmonic series, harmonic #3 is a perfect fifth above harmonic #2, hence the frequency ratio 3/2 is the interval of a perfect fifth.
This whole limit idea assumes that some complicated just intervals can be understood as a combination of simpler just intervals; the simplest intervals that can't be further broken down into other simpler just intervals are the prime intervals (assuming octave equivalence, i.e., ignoring factors of 2): 3/2, 5/4, 7/4, 11/8, 13/8, 17/16, 19/16, etc...
Another way to understand this is, if you follow a chain of 8 perfect fourths, you get the interval 8192/6561 = 213/38 = 384.3599930c, which is another Pythagorean third which is only 2c flat of the just third 5/4 = 386.3137139c.
http://www.72note.com/erlich/limit.html   (1435 words)

  
 music theory basics - intervals
All major intervals invert to minor intervals and vice-versa, all diminished intervals will invert to augmented intervals and vice-versa, and all perfect intervals will invert to perfect intervals (that's why they're perfect).
They can never have the "quality" of a Perfect interval.
The intervals that can have a perfect quality are unisons, fourths, fifths, and octaves.
http://www.auburn.edu/~schafwr/theoryintervals.html   (1147 words)

  
 Notes for Classes 3, 4 & 6
The specific part of the name of an interval (e.g., the "perfect" in "perfect octave" or the "major" in "major third") can be determined by reference to the major scale formed on the lower note of the interval.
An analysis by a music theorist of the intervals most frequently used in chords would show that the perfect octave, perfect fifth, perfect fourth (in some contexts), major third, and minor third are favored.
The general part of the name of an interval (e.g., the "octave" in "perfect octave" or the "second" in "minor second") can be determined by counting the number of lines and spaces on the staff that are used to notate the interval:
http://academics.hamilton.edu/music/spellman/class_notes/music_theory.htm   (1943 words)

  
 LilyTears: Music
Following the example presented above, if Black Sabbath were one of your favorite bands, you would recall that the riff that begins with a fifth is the main one of the song "Electric Funeral".
(A "tone" is the size of a major second, and a "semitone" that of a minor second.) Alternatively, the interval of the tritone may be called an augmented fourth or a diminished fifth, depending on the musical context.
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.
http://lilytears.com/arts/music/eartraining.htm   (1560 words)

  
 [No title]
When an interval normally classified as perfect is larger than the natural perfect version, the quality of the larger interval is called augmented.
When an interval normally classified as perfect is smaller than the natural perfect version, the quality of the smaller interval is called diminished.
The qualities of the diatonic perfect intervals are summarized in the table below.
http://www.ux1.eiu.edu/~cfaah/megastaff/intervals2.htm   (1233 words)

  
 The Family of Equal-interval Tunings
The position where that line crosses the "Major 3rd", "Minor 3rd" and "Perfect Fifth" lines indicates the size of those intervals in that particular tuning; the "just intervals" line indicates where an interval is "pure" (a whole-number ratio).
As we move to the right from equal temperament, we enter the realm of meantone temperaments; in these, the tuning of the fifth is sacrificed in order to bring the major and minor third closer to pure intervals.
In Pythagorean tuning (used in medieval music), 11 of the 12 possible fifths are just (with the result that 11 of the 12 major thirds are sharp).
http://www.well.com/user/smalin/equal5th.htm   (477 words)

  
 and
An augmented interval has one more semitone than a perfect interval.
A diminished interval has one less semitone than a perfect interval.
In addition to major and perfect; minor, augmented, and diminished intervals exist.
http://www.musictheory.net/lessons/xml/id31_en_uk.xml   (422 words)

  
 A Brief History of Tunings and Temperaments
Recall the Gregorian "organum" was a chant with parallel 4ths--all in perfect tune.
A perfect major 3rd is generated from a "major" tone (9/8) and a "minor" tone (10/9)--where the product is obviously 10/8 or 5/4.
From that, how do we construct a "perfect" C-major scale, starting with middle C? Recall that the most harmonious intervals have low-order partials, or harmonics, that coincide--or match.
http://members.iquest.net/~taldr/temperaments.htm   (4360 words)

  
 Sri Guru Granth Sahib - English Translation
Perfect is that intellect, by which the Glorious Praises of the Lord are sung.
By the Grace of the Saints, one is released from birth and death.
GAUREE, FIFTH MEHL: Those, upon whom the Lord Himself showers His Mercy, chant the Naam, the Name of the Lord, with their tongues.
http://www.sikhs.org/english/eg17.htm   (5396 words)

  
 Violin - Wikipedia, the free encyclopedia
It is the smallest and highest-tuned member of the violin family of string instruments, which also includes the viola and cello.
The violin is a bowed stringed musical instrument that has four strings tuned a perfect fifth apart, the lowest being the G just below middle C.
(When playing with a fixed-pitch instrument such as a piano or accordion, the violin must tune to accommmodate it.) The other strings are then tuned to the A in intervals of perfect fifths by bowing them in pairs.
http://en.wikipedia.org/wiki/Violin   (5054 words)

  
 BAIN ATMI 2002: Cents/RatioToCents Application
1, the size of a minor second (C4-Db4), major second (C4-D4) and perfect fifth (C4-G4) on a modern piano are indicated in cents.
A just perfect fifth may be represented by the natural interval frequency ratio:
On the other hand, the interval frequency ratio for the 12TET perfect fifth found on a modern piano is:
http://www.music.sc.edu/fs/bain/atmi02/cents   (651 words)

  
 Guitar Trader - Guitar Articles
All octaves are "perfect", and along with the unison, are as stable as an interval can be.
In E minor, the first, second, fourth, and fifth intervals would be minor, and the third, sixth, and seventh intervals are major: E minor, F# minor, G major, A minor, B minor, C major, D major.
Much more elaborate things can be done with intervals, as will be demonstrated in future articles, but to give you some idea, listen to these all-interval riffs from my album, The Firebard (Motif_Operandi_Section.mp3).
http://www.guitartrader.com/z041001irb.icl?orderidentifier=ID10417409549181354525145F44&srcdoc=   (1354 words)

  
 Sonic Glossary: Fifth - Study Room
As well as being the first five tones of the minor scale, this fifth can also be found on the major scale, where it occupies the second through sixth tones, as you can see in the diagram below.
The interval is thus half a step narrower than the perfect fifth.
As well as being the first five tones of the Phrygian mode, this fifth also occurs on the regular major scale, where it occupies the third through seventh tones.
http://www.columbia.edu/ccnmtl/draft/paul/sonic/fifthstudy.html   (454 words)

  
 BAIN: Tonal Theory Concepts (Cents)
For example, let's compare the size of the just perfect fifth--the perfect fifth found in the lower part of the Overtone Series, whose interval frequency ratio is 3:2--with the perfect fifth found on a modern piano (12TET).
Ellis' system provides musicians with a convenient way to compare the size of a musical interval in different tuning systems.
1: A 1-octave piano keyboard, with the intervals of a minor 2nd (100 c.), major 2nd (200 c.), and perfect fifth (700 c.) above C measured in cents.
http://www.music.sc.edu/fs/bain/atmi98/examples/cents   (610 words)

  
 The perfect fifth interval, with respect to some basic chords.
Curiously, there is another chord used in modern music that is composed of only the perfect 5th interval and its octaves.
The perfect fifth interval, with respect to some basic chords.
We note that the minor chord also has a perfect 5th interval.
http://members.aol.com/snglstring2/chords/finding5.html   (610 words)

  
 :: Perfect Fifth
The median of their different approaches creates the foundation of the Perfect Fifth sound.
Source material varies widely, but could be said to have associations with jazz, metal and varied electronic sounds and landscapes.
Mark and Phil generate ideas by means of mutually competitive inspiration.
http://homepage.ntlworld.com/richard.kelley1/PerfectFifth/info.htm   (99 words)

  
 This note's for you
Western music has adopted certain intervals as basic to acoustics.
The third harmonic is the perfect fifth one octave up from the fundamental.
Thus, the argument for preferring intervals based on doubling, tripling and multiplying by five is actually based on acoustics, not just a fondness for the numbers 2, 3 and 5.
http://www.research.att.com/~njas/sequences/DUNNE/TEMPERAMENT.HTML   (3574 words)

  
 SVP - Periodic Table Set to Music.
The ones listed are only those within 1% of a perfect match to the Musical Interval given.
http://www.svpvril.com/Pertable/sb.html   (74 words)

  
 Microtonal Music Composition Software, An Overview
Now that we've re-arranged the 12-tone scale in order of the circle-of-fifths, the novice musician knows exactly where to find the perfect fifth for any tonic on the lattice.
If you can accept the concept of re-arranging the notes of the 12-tone musical scale according to the circle-of-fifths, you've made the logical jump to reading and understanding the lattice.
Now our new musical scale is no longer arranged in ascending order of pitch.
http://tonalsoft.com/pub/update/update.2005-03-12.12-00.aspx   (1052 words)

  
 hanson
If no P is present, then we look to the next best interval, which is M. If a major third is the best interval (the sonority does not contain a perfect fourth or fifth), then the bottom note of this interval is the root.
The above interval map accounts for all possible intervals in a sonority.
For Hindemith, in order to find the root of any chord, find the best interval.
http://www.msu.edu/user/millett1/hanson.htm   (1051 words)

  
 Blues and Beyond: October 2004
But some ET scales have an interval close enough to a perfect fifth that you can't really hear the difference.
but lacking a perfect fifth makes a tonal sound pretty much impossible.
As a result, scales which ignore all these intervals can sound tonal...
http://bluesandbeyond.com/2004_10_01_   (2860 words)

  
 Marc Sabatella's Jazz Improvisation Primer: Basic Theory
The interval of a perfect fifth is significant in many ways in music theory.
In general, if any major or perfect interval is expanded by a half step by changing an accidental (the flat or sharp indication on the note), the resultant interval is called augmented, and if any minor or perfect interval is reduced by a half step by changing an accidental,
For example, the tritone interval from C to F# is called an augmented fourth, because the interval from C to F is a perfect fourth.
http://www.outsideshore.com/primer/primer/ms-primer-4-1.html   (2093 words)

  
 NewComposer
The perfect intervals of notes in a major scale are the unison, octave, fourth and fifth.
The descending intervals of the C major scale are minor second, minor third, perfect fourth, perfect fifth, minor sixth, minor seventh and perfect octave.
In order, the intervals are major second, major third, perfect fourth, perfect fifth, major sixth, major seventh and perfect octave.
http://courses.ncssm.edu/church/emusic/NewMusic/Composer/Intervals.htm   (242 words)

  
 Warmup Corner - The Perfect Fifth (exercise 2)
Perfect the perfect fifth interval with this warm-uyup exercise
Say I Love You With A Song at SingingValentines.com!
You are here: Sing and Perform > Singing Skills >
http://www.spebsqsa.org/web/groups/public/documents/pages/pub_id_021235.hcsp   (52 words)

  
 The Pharaoh's Music Section - Scale Degrees
intervals a half step larger than a perfect or major interval (if not contained in the key) are labeled augmented or sharp.
Remember that the scale degrees refer to the actual notes, the interval names refer to the distances between the notes.
A is a perfect fifth above D for example.
http://www.surfingpharaoh.com/music_ed/scaledegree.htm   (430 words)

  
 NewMusicbox
But acoustically, the ear is less disturbed by out-of-tune fifths than by out-of-tune thirds, since with fifths the out-of-tune harmonics are higher up in register and further away and less obvious.
Those thirds sound so lovely, and thus all European music from the mid-15th to mid-18th centuries (and beyond) was based on the primacy of thirds.
If we tune our perfect fifths in tune, we'll have C to G, G to D, D to A, and A to E all 702 cents wide.
http://www.newmusicbox.org/printerfriendly.nmbx?id=909   (1037 words)

  
 Free Sheet Music from NotaViva.com - Welcome to our theory section.
The Consonant intervals are: The Major and Minor Third, Major and Minor Sixth, Perfect Fifth and Octave.
If the C.F. ends (as it generally does) by descending from the second of the scale to the keynote, the C.P. must end by ascending from the leading note to the keynote.
The Perfect Fourth is considered as a Dissonance in two-part Counterpoint.
http://www.notaviva.com/theory/cntrpnt001.html   (573 words)

  
 About the tuning of the Piano: Inharmonicity
For example, the musical interval between the fourth harmonic and the fundamental is two octaves and the frequency ratio is 4:1, equivalent to a doubling for each octave.
Intervals for other commonly used musical intervals can be found from these.
To demonstrate this for a known result, the frequency ratio for a perfect fourth (4:3) can be found from that for a perfect fifth (3:2) since together they make one octave (2:1): C to G (perfect fifth) and G to C (perfect fourth).
http://www.postpiano.com/support/updates/tech/Tuning.htm   (747 words)

  
 LECTURE 18--February 28, 2001 (Wednesday)
Demonstration: Using two audio oscillators, one tuned to 440 Hz, the class was asked to judge when the second oscillator was set to a perfect fifth, that is 660 Hz.
If the musical interval between two notes on an instrument is 600 cents, the system of tuning is most likely to be well-tempered.
For a sound of frequency 250 Hz, the frequency of a note one octave higher is 500 Hz, that of a note one octave lower is 125 Hz, and that of a note a perfect fifth lower is 166.67 Hz.
http://www.colorado.edu/UCB/AcademicAffairs/ArtsSciences/physics/phys1240/phys1240_sp01/lecture18.html   (687 words)

  
 Johann Sebastian Bach: the well tempered tuning is unequal
Finally, one fits 4 fifths of equal size into c-e, subdividing this third, exactly as would have to be done for the third c-e of Kirnberger III; only that the latter one is pure, in contradistinction to the enlarged basic third within Bach's system.
Bach's musical temperament comprises within its circle 5 well tempered fifths and 7 perfect fifths.
This system "wohltemperirt" of J. Bach - the composer's own authentic spelling - is the musical tuning for Das wohltemperirte Clavier.
http://plaza.ufl.edu/wnb/baroque_temperament.htm   (1615 words)

  
 Triads_@TheCipher.com
In chord-formula, the perfect-fifth interval is symbolized with a plain unqualified numeral five (5) with no flats or sharps.
Augmented and diminished triads take their names from these intervals — i.e.
The only difference between the Major and minor triads, then, is the type of third interval used — Major or minor.
http://www.thecipher.com/triads.html   (355 words)

  
 Tom Pankhurst's TonalityGUIDE (pilot project)
if you tuned a set of strings in ascending perfect fifths starting in C you would never arrive back at C after 7 octaves like you do on the piano - the resulting B# would in fact be considerably sharper
as music has ranged more widely over the last half millenium, a standard system has gradually evolved in which fifths have been made slightly smaller or tempered so that 12 fifths fit within the 7 octaves (the same applies to all the other intervals)
The long and the short of it is that our tuning system is a distortion that allows tonal music to keep modulating up or down this series of fifths and eventually arrive back in the same place.
http://www.tonalityguide.com/thkeyscircle2.php   (834 words)

  
 TonalityGUIDE: circle of fifths
The perfect fifth - the first interval in the harmonic series - is crucial in tonal music.
As explained in chords and scales, the perfect fifth is also the only interval by which you can cycle all the way through the whole major scale.
The interval between the leading note and subdominant of a major scale is a diminished fifth, so these notes have to be at the top and bottom respectively (C# and G in D major).
http://www.tonalityguide.com/thkeyscircle.php   (398 words)

  
 Perfect numbers
The next significant study of perfect numbers was made by Nicomachus of Gerasa.
16 = 496 which is a perfect number.
(4) Euclid's algorithm to generate perfect numbers will give all perfect numbers i.e.
http://www-gap.dcs.st-and.ac.uk/~history/HistTopics/Perfect_numbers.html   (4360 words)

  
 Fifth - Wikipedia, the free encyclopedia
The dominant (music), and the chord built on the dominant
This is a disambiguation page: a list of articles associated with the same title.
Fifth (Stargate), a robotic character in the television series Stargate SG-1
http://en.wikipedia.org/wiki/Fifth   (114 words)

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