Fifths tuning - Factbites

Fifths tuning - Factbites
Where results make sense
About us | Why use us? | Reviews | PR | Contact us

Topic: Fifths tuning

Note: these results are not from the primary (high quality) database.

In the News (Tue 29 Dec 09)

Northern Trust

Marvin Harrison

Peter Chernin

Gary Locke

Match Play

Penelope Cruz

Mickey Rourke

AR Rahman

Danny Boyle

Hugh Jackman

	Pythagorean tuning - Wikipedia, the free encyclopedia
		Pythagorean tuning is based on a stack of perfect fifths, each tuned in the ratio 3:2, the next simplest ratio after 2:1, which is the ratio of an octave.
		In the case of Pythagorean tuning, all the fifths are 701.96 cents wide, in the exact ratio 3:2, except the wolf fifth, which is only 678.49 cents wide, nearly a quarter of a semitone flatter.
		For this reason, Pythagorean tuning is particularly well suited to music which treats fifths as consonances, and thirds as dissonances.
	en.wikipedia.org /wiki/Pythagorean_tuning (939 words)

	Pythagorean Tuning and Medieval Polyphony - Table of Contents
		Providing a simple and elegant way of generating a musical scale, this tuning system may have a special appeal for styles of harmony where fifths and fourths are the most favored intervals, as is true in the ensemble music of Chinese and related traditions, for example, as well as in medieval European polyphony.
		This FAQ article is intended to explain the system of tuning in perfect fifths commonly known as "Pythagorean intonation," its interaction with the stylistic traits of medieval polyphony, and its relationship to other systems of tuning.
		While our focus here is on the music of medieval Europe, the concept of a tuning based on a series of twelve notes in perfect fifths also plays an important part in other world musical traditions, for example in Chinese theory and practice.
	www.medieval.org /emfaq/harmony/pyth.html (766 words)

	A beginner's guide to temperament
		Of these systems, Werckmeister III is notable for its purity in the best keys and its suitability for organs with large quint mixtures (many of the fourths and fifths are in tune); but it is irregular and bumpy in the way it deals with modulation and key colour.
		In this temperament the major thirds are perfectly in tune and the fourths and fifths slightly compromised - except for one hideously catastrophic fifth, usually between G sharp and E flat, the famous 'wolf'.
		Almost all the fourths and fifths are dead in tune, and the entire comma is 'dumped' on one interval (according to Arnaut de Zwolle between F and B flat), which is therefore unusable.
	www.users.dircon.co.uk /~oneskull/3.6.04.htm (1780 words)

	Pythagorean Tuning and Medieval Polyphony - Table of Contents
		Providing a simple and elegant way of generating a musical scale, this tuning system may have a special appeal for styles of harmony where fifths and fourths are the most favored intervals, as is true in the ensemble music of Chinese and related traditions, for example, as well as in medieval European polyphony.
		This FAQ article is intended to explain the system of tuning in perfect fifths commonly known as "Pythagorean intonation," its interaction with the stylistic traits of medieval polyphony, and its relationship to other systems of tuning.
		Rather, techniques of tuning and notation interact creatively with musical style in each period, and should all be taken into consideration in understanding and recreating the music of a given age.
	www.medieval.org /emfaq/harmony/pyth.html (766 words)

	Pythagorean Tuning - Basic concepts
		As mentioned above, Pythagorean tuning defines all notes and intervals of a scale from a series of pure fifths with a ratio of 3:2.
		The following table shows how the standard intervals of Pythagorean tuning except the pure unison (1:1) and octave (2:1) are derived primarily from superimposed fifths (3:2), thus having ratios which are powers of 3:2, or secondarily from the differences between these primary intervals and the octave.
		In fact, Pythagorean tuning is described in the medieval sources as being based on four numbers: 12:9:8:6.
	www.medieval.org /emfaq/harmony/pyth2.html (422 words)

	Pythagorean Tuning and Medieval Polyphony - Table of Contents
		Providing a simple and elegant way of generating a musical scale, this tuning system may have a special appeal for styles of harmony where fifths and fourths are the most favored intervals, as is true in the ensemble music of Chinese and related traditions, for example, as well as in medieval European polyphony.
		This FAQ article is intended to explain the system of tuning in perfect fifths commonly known as "Pythagorean intonation," its interaction with the stylistic traits of medieval polyphony, and its relationship to other systems of tuning.
		Rather, techniques of tuning and notation interact creatively with musical style in each period, and should all be taken into consideration in understanding and recreating the music of a given age.
	www.medieval.org /emfaq/harmony/pyth.html (766 words)

	tuning systems on Encyclopedia.com
		The Pythagorean system, derived from a scale supposedly invented by Pythagoras (c.550 BC), was generated by acoustically perfect fifths.
		The need for a tuning system hinges on the conflict of pitch relationships in the natural overtone series and the exigencies of musical compositional systems, specifically those utilizing the familiar diatonic scale.
		The mean-tone system generated the scale with fifths just flat enough to eliminate this difference, producing a scale containing acoustically perfect thirds.
	www.encyclopedia.com /html/t1/tuningsy.asp (477 words)

	The Family of Equal-interval Tunings
		In equal-tempered tuning, all 12 fifths are tuned a little flat (and the major thirds are somewhat less sharp than in Pythagorean tuning, though still sharp).
		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).
		In several tuning systems, however, many intervals of a certain type are the same size.
	www.well.com /user/smalin/equal5th.htm (477 words)

	Pythagorean Tuning - Just Intonation Context
		Tuning the sharps at the flat end of the chain of fifths, a Pythagorean comma lower than usual, altered major and minor thirds involving sharps to 384 and 318 cents respectively - just 2 cents from their ideally blending ratios of 5:4 and 6:5.
		Applying the first part of this concept, some scholars refer to Pythagorean tuning as "3-limit just intonation," since all intervals are derived either from fifths (3:2) or octaves (2:1), ratios involving 3 as the largest prime.
		Just as Renaissance musicians found a 3(9)-limit Pythagorean tuning "incomplete" because it did not provide ratios such as 5:4 or 6:5, these contemporary musicians find 5-limit tunings incomplete because they do not include such ratios as 7:1, 11:1, or 13:1.
	www.medieval.org /emfaq/harmony/pyth5.html (477 words)

	Guitar - Education - Information - Educational Resources - Encyclopedia - Music
		C-G-d-a'-e'-b', all fifths tuning is in fifths like that of a mandolin or a violin and has a remarkably wide range.
		Standard tuning has evolved to provide a good compromise of both simple fingering for many chords, and the ability to play common scales with minimal left hand movement.
		E-a-d-g-c'-f', all fourths tuning removes from the standard tuning the irregularity of the interval of a third between the fourth and fifth strings.
	www.music.us /education/G/Guitar.htm (477 words)

	OpenHere - Music, Theory, Tuning Systems
		New developed portativ for studying intonation and tuning systems
		The musical temperament of Bach comprises within its circle 5 well tempered fifths and 7 perfect fifths
		It looks at it from both a historical perspective as well as comparing the North...
	www.openhere.com /music/theory/tuning-systems (107 words)

	Technical Information: The Official California Guitar Trio Website
		New Standard Tuning is a technique learned by the band from Robert Fripp's Guitar Craft course and is based on fifths.
		The thickest string is tuned down to low C, then tuned up in fifths: C, G, D, A, E, G, which is only a minor third above the fifth string.
		Alot of good information on New Standard Tuning and Guitar Craft can be found on The Official Guitar Craft Website
	www.cgtrio.com /tech2.htm (107 words)

	Pythagorean Tuning - More details
		One quirk of Pythgorean tuning which we encountered in Section 4.2.2 is the "Wolf" fifth or fourth which results between the extreme notes of our tuning chain in fifths, g#-eb' or eb-g# in a standard scheme with Eb at one end of the chain and G# at the other.
		Tuning ratios and measures in cents are shown relation to the lowest note of the octave range, the final in authentic modes but the fourth below it in plagal modes, with the final identified by the symbol "F" on the line above the tuning ratios.
		However, by accentuating the contrast between a generous 9:8 whole-tone and a narrow 256:243 semitone, Pythagorean tuning lends a special expressiveness to monophonic chant and secular song as well as to polyphony with its interacting harmonic and melodic dimensions (see Section 3.3).
	www.medieval.org /emfaq/harmony/pyth4.html (11001 words)

	052003.html
		As a tuning error, the difference is known as the Pythagorean Comma, resulting from the unavoidable lack correspondance when tuning by fifths and tuning by octaves when tuning both intervals in terms of harmonic series ratios.
		Another Pythagorean Intonation characteristic is the user of a major third overshooting the harmonic series ratio of approximately 0.015625 hertz, where the harmonic series decimal representation is 1.25 and the Pythagorean Intonation tuning measurement is 1.265625 hertz.
		Tuning in Pythagorean Intonation is based on ratios for all intervals.
	people.cs.uchicago.edu /~dtshoda/CS295_files/working_dir/052003.html (4334 words)

	Pythagorean Tuning and Medieval Polyphony - Table of Contents
		Providing a simple and elegant way of generating a musical scale, this tuning system may have a special appeal for styles of harmony where fifths and fourths are the most favored intervals, as is true in the ensemble music of Chinese and related traditions, for example, as well as in medieval European polyphony.
		Tuning data and the chromatic octave of C
		Rather, techniques of tuning and notation interact creatively with musical style in each period, and should all be taken into consideration in understanding and recreating the music of a given age.
	www.medieval.org /emfaq/harmony/pyth.html (766 words)

	Tonalsoft Encyclopaedia of Tuning -- Septimal schisma as xenharmonic bridge?, (c)1998 by Margo Schulter
		Pythagorean tuning is not only a system of just intonation with a very long history, but also an amazingly successful system not only ideally suited to much Gothic music but inviting "Neo-Gothic extensions" approximating intervals in 5-based and 7-based systems.
		As someone with a special interest in Pythagorean tuning, while I might not have any additional suggestions to contribute in the way of organizational questions, it occurs to me to share a few reflections on the relationship of this xenharmonic approach to others.
		While the use of these intervals is, of course, at the discretion of the composer or performer, one application is to supplement the basic 3-based Pythagorean intervals with two new "flavors" of unstable intervals which can serve as diversions or impel directed cadential action toward stable octaves, fifths, and fourths.
	sonic-arts.org /td/schulter/septimal.htm (1195 words)

	Tuning Systems
		In Western music, the tuning systems that have been invented and widely used that directly address this problem are the various well temperaments and equal temperament.
		The Pythagorean system is so named because it was actually discussed by the famous Greek mathematician and philosopher, who lived in the sixth century B.C. Pythagoras understood the simple arithmetical relationship involved in intervals of octaves, fifths, and fourths.
		In medieval music, the third was considered a dissonance and was used sparingly (actually, when you're using Pythagorean tuning, it really is a dissonance), but modern harmonies are built on thirds (see Triads).
	cnx.org /content/m11639/latest (4072 words)

	Pythagorean Tuning
		Pythagorean scales were built upon pure fourths and fifths.
		Pythagorean tuning is the oldest tuning system in European music heritage.
		According to legend, "Pythagoras discovered concords in the simple ratios among the divisions of a sounding string." Because the ancient Greeks believed numbers were the answer to all things, including the physical and the spiritual, so music was aligned with numbers.
	www.aug.edu /~cshotwel/pythagoreantuning.htm (175 words)

	Understanding Temperaments
		It is obtained by tuning a series of 11 pure fifths, typically from Eb to G#, the remaining fifth (diminished sixth really) receiving all of the ditonic comma and therefore being 24 cents flat.
		This text is complemented by a Java applet that demonstrates tunings and temperaments (I'm also thinking of a virtual instrument one could actually practice tuning on), and by some short musical examples in various tunings and temperaments (MIDI and some.au files).
		This tuning is mostly of theoretical interest since any attempt to impose it upon fixed-intonation instruments necessarily leads to serious flaws which make it impractical.
	pages.globetrotter.net /roule/temper.htm (4098 words)

	My modified musical instruments
		This is different to the Lucy design, which uses an equal number of steps on the spiral of fifths up and down from the open string, and so gives an equal number of sharps and flats on the D string.
		The base tuning is 19 frets to the octave, to give an equal number of sharps and flats on the A string.
		It seems to be perfect for a guitar that has to play conventional music with improved tuning, and a few 7-limit chords.
	www.microtonal.co.uk /instrum.htm (1356 words)

	Keyboard temperament analyzer/calculator - Bradley Lehman
		The ear can tolerate fifths that are out of tune by up to approximately 300 TU, and major thirds that are up to about 700 TU wide or perhaps 200 TU narrow (these amounts are all subjective, of course).
		This table allows the tuner to derive appropriate tuning instructions by interval, or to check any obtained interval for accuracy.
		It is a logarithmic system similar to that of "cents," but designed to be easier to understand and use than cents notation, when working with divisions of the commas.
	www-personal.umich.edu /~bpl/temper.html (2467 words)

	Tuning & temperament bibliography
		Bell tuning in ancient China: a six-tone scale in a 12-tone system based on fifths and thirds", WWW, June 2003.
		Tuning, temperament and pedagogy for the vihuela in Juan Bermudo's 'Declaración de instrumentos musicales' (1555).
		Aning, B. "Tuning the kora: A case study of the norms of a Gambian musician", Journal of African studies vol.
	www.xs4all.nl /%7ehuygensf/doc/bib.html (10762 words)

	Harp Mailing List 1996/04 Archive: Tuning
		Gwenzilla says she tunes F by a tuner, and tunes the other strings in fifths.
		Lucy's tuning, where he uses a large interval equal to 1/2pi of an octave and
		Keith's been using one of the meantone tunings.
	www.tns.lcs.mit.edu /harp/archives/1996.04/0216.html (281 words)

	An Introduction to Historical Tunings
		Before the advent of meantone tuning, the French academy at Notre Dame (13th and 14th centuries) decreed that only a series of perfect fifths could make up a scale; their ratio was 3/2, and 3, after all, connoted the Trinity.
		There was no one invariable meantone tuning; before the 20th century, tuning was an art, not a science, and each tuner had his own method of tuning according to his own taste.
		The Hilliard Ensemble observes Pythagorean tuning in its recordings of the Machaut Notre Dame Mass (Hyperion) and the organum of Perotin (ECM).
	home.earthlink.net /~kgann/histune.html (3261 words)

	Cycle Of Fifths
		The best way to develop the cycle of fifths changes on the C6 tuning is to follow the root.
		Cycles of dominant fifths are fundamental to the harmonic development of many jazz tunes, either from the original changes, or from re-harmonizing, passing chords, and turnarounds.
		However, all other notes at the fret between strings 1 and 8 can be played since they are repetitions of notes an octave away, or extensions.
	www.mightyfinemusic.com /Jeff/CycleOfFifths.htm (3261 words)

	Re: new standard tuning
		There must be some value in the new standard tuning, since Fripp has used it for 25 years, at least.
		New tunings help if you want to get out of the rut of using EADGBE or its close variants.
		The second one is the standard tuning for a lute, if I'm not mistaken.
	et.stok.co.uk /articles/1193-6.html (3261 words)

	Treatise on Tuning
		This means that the ratio of the frequencies of the first and second harmonics is 3x/2x, or 3/2, or that a note is a perfect fifth higher than another note if the frequency of the second note is 1.5 times the frequency of the first note.
		The ones that are a fifth away will resonate less loudly, a fourth away, less loudly etc. This phenomena is present will all period resonance.
		The note that is produced is one octave and a perfect fifth higher than the fundamental.
	www.baritoneconsulting.com /public_html/tuning.html (3261 words)

	Elephant Talk: Interviews - Robert Fripp in Guitar Player
		For my own tuning, I use perfect intervals in fourths, fifths and octaves.
		The point of this new standard tuning is that it's an infinitely better standard tuning than the old one, in terms of chords and single notes.
		Currently, instruction takeshigh priority in Fripp's life, and he is working with a new "standard" tuning for guitar that he feels opens up an entire realm of new possibilities for the instrument.
	www.elephant-talk.com /intervws/fripp-gu.htm (3261 words)

	Das Wohltemperirte Clavier - Pitch, Tuning and Temperament Design [by Charles Francis]
		Both types of instrument must be tempered as follows: In tuning the fifths and fourths, testing minor and major and chords, take away from most of the fifths a barely noticeable amount of their absolute purity.
		To the musicians at that time, he notes, the quality of the fifths in a scale when played harmonically, seemed identical when their beat frequencies were the same; deceiving them into believing that tempered fifths were of the same size when their beat frequencies were identical[20].
		The beats of fifths can be more easily heard by probing fourths, an advantage that stems from the fact that the tones of the latter lie closer together than fifths.
	www.bach-cantatas.com /Articles/Das_Wohltemperirte_Clavier.htm (2304 words)

	Vision Music's "Theory Town"
		is an group of theoretical reference lessons for the evolving guitarist and bassist, including key signatures, the cycle of fifths, chord construction, fingerboard charts, tuning lessons, and more.
		Reference chart containing the twelve key signatures and the essential cycle (circle) of fifths/fourths.
		Two tables that plainly spell out the chord tones present in three 'families' of chords (triads, sixths, and sevenths).
	www.visionmusic.com /theory.html (2304 words)

Try your search on: Qwika (all wikis)

Topic: Fifths tuning

Ads by Google

Related Topics

In the News (Tue 29 Dec 09)