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Topic: Perfect fourth

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	Dolmetsch Online - Music Theory Online - Notes, Harmonies & Scales
		Pythagoras may also have discovered that the interval of a perfect fifth was associated with the ratio 3:2, and that the octave could be completed with a second complementary interval, a perfect fourth, associated with the ratio 4:3.
		Using the fact that a perfect fourth is made up of two tones plus one semitone, the ratio for the semitone was calculated to be 256:243.
		G Lydian, for example, is constructed on the fourth degree of the scale of D major, i.e.
	www.dolmetsch.com /musictheory25.htm (7307 words)

	NationMaster - Encyclopedia: Perfect fourth (Site not responding. Last check: 2007-10-21)
		The perfect fourth or diatessaron, abbreviated P4, is one of two musical intervals that span four diatonic scale degrees; the other being the augmented fourth, which is one semitone larger.
		The perfect fourth, although a perfect interval like the unison, octave, and perfect fifth, is actually considered a dissonance in certain contexts.
		It is the inversion of the perfect fifth.
	www.nationmaster.com /encyclopedia/Perfect-fourth (1321 words)

	LilyTears: Music
		The intervals that are usually perfect are the fourth, fifth and eighth.
		Between the perfect fourth and the perfect fifth is an interval sometimes called a tritone, because its size is that of three consecutive "tones".
		After the perfect fifth is the minor sixth, then the major sixth, minor seventh, major seventh and the perfect eighth or octave.
	lilytears.com /arts/music/eartraining.htm (1552 words)

	Math Forum - Ask Dr. Math (Site not responding. Last check: 2007-10-21)
		A number is a perfect square if, when raised to the 1/2 power, it still has an integer for all of the exponents in its prime factorization.
		A number will be both a perfect square and a perfect cube if, when raised to both the 1/2 and the 1/3 powers, it still has an integer for all of the exponents in its prime factorization.
		A similar computation shows that for a number to be a perfect square, a perfect cube, and the fourth power of some integer, it must be the 12th power of some integer.
	mathforum.org /library/drmath/view/56072.html (406 words)

	The Fourth and the Fifth (Site not responding. Last check: 2007-10-21)
		The situation is opposite with the descending fourth and fifth.
		Between the perfect fourth and the perfect fifth we find the dissonant augmented fourth or diminished fifth, known also as the tritone.
		The octave inversion of the perfect fourth is the perfect fifth, while the octave inversion of the perfect fifth is the perfect fourth.
	www.myguitarsolo.com /Tips/TheFourthAndTheFifth.htm (336 words)

	Perfect fourth
		The musical interval of a perfect fourth, often P4, is the relationship between the first note (the root or tonic) and the fourth note (subdominant) in a major scale.
		It is the inversion of the perfect fifth.
		The perfect fourth is considered the most consonant interval after the unison, octave, and perfect fifth.
	www.xasa.com /wiki/en/wikipedia/p/pe/perfect_fourth.html (177 words)

	Perfect fourth - Encyclopedia, History, Geography and Biography
		The perfect fourth or diatessaron, abbreviated P4, is one of two commonly occurring musical intervals that span four diatonic scale degrees; the other being the augmented fourth, which is one chromatic semitone larger.
		The perfect fourth's inversion is the perfect fifth.
		The perfect fourth is a perfect interval like the unison, octave, and perfect fifth, and it is a sensory consonance.
	www.arikah.com /encyclopedia/Perfect_fourth (342 words)

	Perfect fifth Information
		The perfect fifth or diapente is a musical interval which is responsible for the most consonant, or stable, harmony outside of the unison and octave.
		The perfect fifth is historically relevant because it is the first accepted harmony (besides the octave) of gregorian chant, a very early formal music composition.
		The perfect fifth is abbreviated as P5 and its inversion is the perfect fourth.
	www.bookrags.com /wiki/Perfect_fifth (451 words)

	Perfect fourth grade reading score for P.S. 150
		P.S. 150 fourth graders aced the statewide English test this year, with 100 percent of the students meeting or exceeding the standards in the annual high-stakes exam.
		A child’s performance on the fourth grade test influences his or her options for middle school.
		Parents and educators say a comparison of last year’s third grade scores with this year’s fourth grade scores would yield a more accurate indication of children’s progress, since those scores show the performance of the same group of children.
	www.downtownexpress.com /de_57/perfectfourthgrade.html (718 words)

	[No title]
		The intervals between the strings on your guitar are all fourths, except the interval between 2nd and 3rd string, assuming that you tune to standard tuning.
		The perfect fourth is weaker and unreliable, and it is much harder to use the fourth interval between the strings on the guitar (except between 2nd and 3rd string), for tuning.
		The fourth from F to B is three whole steps, and not two and a half, as the perfect fourth.
	www.torvund.net /guitar/Theory/03-intervals-continued.asp (854 words)

	The Classical Perfect fourth Dictonary Page on Classic Cat
		The perfect fourth or diatessaron, abbreviated P4, is one of two commonly occurring musical intervals that span four diatonic scale degrees; the other being the augmented fourth, which is one chromatic semitone larger.
		The perfect fourth's inversion is the perfect fifth.
		Conventionally, the strings of a double bass and a bass guitar are tuned by intervals of perfect fourths, as well as all but one of the strings of a guitar.
	www.classiccat.net /dictionary/perfect_fourth.htm (366 words)

	Intervals - Wiki Guitar
		A perfect fourth is five semitones, a perfect fifth is seven semitones, a perfect octave is twelve semitones.
		The tritone, an augmented fourth or diminished fifth is often π or TT.
		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.wikiguitar.net /index.php?title=Intervals (851 words)

	Perfect fourth - Glasgledius (Site not responding. Last check: 2007-10-21)
		The musical interval of a perfect fourth is the relationship between the first note (the root or tonic) and the fourth note in a major scale.
		An "ideal" perfect fourth in just intonation corresponds to a pitch ratio of 3:4 or 1:1.333...
		In an equal tempered tuning, a perfect fourth is equal to five semitones, a ratio of 1:2
	www.glasglow.com /E2/pe/Perfect_fourth.html (86 words)

	INTERVAL,
		Unisons, octaves, fourths, and fifths are termed perfect intervals.
		A perfect fourth, for example, C–F, can be analyzed to contain two whole steps (C–D, D–E) and a half-step (E–F); the diatonic scale also contains the interval F–B (three whole steps), and the ear perceives it as radically different from a perfect fourth.
		It is termed an augmented fourth, for it is a half-step larger than a perfect fourth.
	www.history.com /encyclopedia.do?vendorId=FWNE.fw..in033600.a#FWNE.fw..in033600.a (370 words)

	Suzuki: Perfect Pitch & Children
		Perfect Pitch is not the raw memorization of a tone.
		Perfect Pitch does NOT mean that you associate visual colors with tones -- for example, thinking of F sharp as red, G as green, etc. Rather, it is the perception of precise sound colors which are heard, not seen.
		Perfect Pitch is color hearing, and without Perfect Pitch it's like “fl and white” hearing -- similar to the visual difference between watching a fl and white TV (shades of gray) and a color TV.
	www.perfectpitch.com /suzuki.htm (1788 words)

	Intervals
		Notice that the intervals of an octave, fifth and fourth are identical in both major and minor scales.
		A fourth is between a third and fifth, and a sixth is between a fifth and seventh.
		Between B and F, one must memorize that B-flat to F is a perfect fifth and B to F-sharp is a perfect fifth.
	www.smu.edu /totw/interval.htm (915 words)

	Music & Noise
		Thus the intervals 4/3 and 3/2 are called the perfect fourth and perfect fifth, respectively.
		So here's the plan again: start with the tonic, bring it up a perfect fifth, take it down a perfect fourth, and repeat until you move up to the next octave (that is, you double the tonic).
		This interval is called a tritone, an augmented fourth, or a diminshed fifth; for example, C and F♯ (G♭) or F and B. Had I given you a more complete quote from Galileo you would have already known this.
	hypertextbook.com /physics/waves/music (2393 words)

	Intervals - Wiki Guitar
		A perfect fourth is five semitones, a perfect fifth is seven semitones, a perfect octave is twelve semitones.
		Intervals are often abbreviated with a P for perfect, m for minor, M for major, d for diminished, A for augmented, followed by the diatonic interval number.
		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).
	wikiguitar.net /index.php?title=Intervals (851 words)

	Perfect Fourths
		Perfect Fourths (P4) tuning allows an aspiring jazz guitarist to master the physical aspects of playing the instrument much quicker than using the traditional "standard" guitar tuning.
		The contents of this area of the Perfect Fourths site represents a complete introduction to the P4 tuning.
		And once it becomes clear that only the top 2 strings are altered, and that only be a half step, it becomes quite easy to even use conventional chord diagrams and tab.
	www.perfectfourths.com /p4root.htm (361 words)

	Marc Sabatella's Jazz Improvisation Primer: Basic Theory
		Expanding by half steps, the remaining intervals are the minor third, major third, perfect fourth, tritone, perfect fifth, minor sixth, major sixth, minor seventh, major seventh, and finally, the octave.
		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.
		The motion of roots in this progression is upwards by perfect fourth, or, equivalently, downward by perfect fifth.
	www.outsideshore.com /primer/primer/ms-primer-4-1.html (2093 words)

	Sonic Glossary: Fourth
		The perfect fourth sounds as follows, played here first one note after the other (as in a melody), and then simultaneously (as in a chord).
		The perfect fourth is made up of three intervals: two whole-steps, and one half-step, in any permutation.
		For this reason, in tonal music, the augmented fourth is used very frequently in the first part of a cadence, since its resolution in the second part produces a strong sense of relaxation, hence of rest.
	www.columbia.edu /ccnmtl/draft/paul/sonic/fourth.html (504 words)

	An Introduction to Music Theory Part Two
		Additionally, there are two other interval names that only apply to the perfect fourth and perfect fifth interval.
		As musicians, it would be ideal to have perfect pitch so that you know exactly which notes or chords are being played.
		We can see that E - A is a perfect fourth; A - D is a perfect fourth; D - G is a perfect fourth; G - B is a major 3rd and B - E is a perfect fourth.
	www.gospelmusic.org.uk /resources/music_theory_intro02.htm (764 words)

	How to Plan the Perfect Fourth of July Weekend \| eHow.com
		Fourth of July typically conjures up images of fireworks, hamburgers sizzling on the grill and homemade ice cream.
		Your party is saved in one easy step and your backyard is now the perfect setting for your 4th of July bash.
		Chances are there's an eHow member who knows how to do what you're looking to do.
	www.ehow.com /how_991_fourth-july-weekend.html (795 words)

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