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| | Equal temperament - Wikipedia, the free encyclopedia |
 | | Twelve tone equal temperament was introduced in the West to permit the playing of music in all keys with an equal amount of mis-tuning in each, without having to provide more than 12 pitches per octave on instruments, while still roughly approximating just intonation intervals. | | | At the time equal temperament was beginning to take hold in the West, many people perceived the much-increased mis-tuning of the music, relative to meantone temperament, as a disgrace. | | | Equal temperament does have a weak point in tonal music. |
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http://en.wikipedia.org/wiki/Equal_temperament
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| | Well v.s. equal temperament |
| | Equal temperament is appropriate for some music of the 20th century, especially atonal music, and music based on the whole tone scale, but not for the works of the 18th and 19th centuries. | | | Equal temperament, the modern and usually inappropriate system of tuning used in western music, is based on the twelfth root of 2. | | | When we listen to their music in our modern equal temperament, we are not hearing their harmonic intentions. |
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http://www.math.uwaterloo.ca/~mrubinst/tuning/tuning.html
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| | [No title] |
| | Equal temperament intervals sound consonant because the disonances of nonoctave intervals is within the 5% critical bandwidth criteria for consonance.[equal][critical bandwidth] The just, mean-tone, and pythagorean temperaments are open temperaments. | | | Open temperaments refer to tuning systems that are not playable in certain keys(because of the organization and use of nonoctave perfect intervals within the context of the tuning system). | | | [equal][beats] Equal temperament involves listening to beats between notes a fifth apart[the physics of sound]. |
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http://people.cs.uchicago.edu/~dtshoda/CS295_files/working_dir/draft.html
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| | [No title] |
| | Equal Temperament to Pythagorean Interval Interval Contexts, cont. | | | Pythagorean Intonation and Equal Temperament only share the common interval of an octave at 2:1. | | | 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. |
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http://people.cs.uchicago.edu/~dtshoda/CS295_files/working_dir/052003.html
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| | Paul Rapoport: About 31-tone equal temperament |
| | In 31-tone equal temperament, the smallest interval is called a diesis, as it is close to the diesis of meantone tuning in size and also is the interval between any tone and the tone twelve perfect fifths away, less seven octaves. | | | As shown earlier, the chromatic scale familiar from 12-tone equal temperament is `unequal' in 31-tone equal temperament, because the combination of chromatic semitones and diatonic semitones produces a combination of intervals of 2 and 3 dieses respectively. | | | It may be concluded from Table II that all the familiar intervals of 12-tone equal temperament are present in 31-tone equal temperament and invert harmonically the same way: perfect fifth inverts to perfect fourth, major sixth inverts to minor third, augmented sixth inverts to diminished third, etc. |
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http://www.xs4all.nl/~huygensf/doc/rap31.html
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| | Multi-TEMPERAMENT Scales Manual |
| | Equal temperament was probably known in the 1700s or earlier, but was not considered a satisfactory scale due to the impurity of all intervals. | | | A non-equal temperament must be based on a key that is harmonious with the key in which a piece of music is played or else dissonance will result. | | | The history of temperament is the story of how various music theorists have attempted to distribute the Comma throughout the octave. |
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http://www.webcom.com/jawknee/Mirage/UPWARD/multitempdocs.html
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| | Equal Temperament |
| | The equal tempered scale is the common musical scale used at present, used for the tuning of pianos and other instruments of relatively fixed scale. | | | One of the advantages of the equal tempered scale is that it is the same in any musical "key", so that compositions may be freely transposed up or down without changing the musical intervals. | | | The cents notation provides a useful way to compare intervals in different temperaments and to decide whether those differences are musically significant. |
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http://hyperphysics.phy-astr.gsu.edu/hbase/music/et.html
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| | Equal Temperament is not a myth |
| | But what counts in defining Equal Temperament in the actual acoustical situation, is not frequencies, but the acoustical and musical reasons for having Equal Temperament in the first place. | | | To have every scale in every key exhibiting the same set of interval sizes, as they are perceived musically and acoustically. | | | The most objective, audible, acoustical property of an interval's 'size' or tempering, is its beat rate(s), which is precisely why beat rates are used by piano tuners to achieve precision tempering or tuning. |
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http://www.amarilli.co.uk/piano/nomyth.asp
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| | Equal Temperament |
| | Using just temperament as the reference, it will be noted that major and minor thirds in equal temperament are the most out of tune with the just intervals. | | | The use of cents notation facilitates the comparison of musical intervals in the different systems of temperament. | | | The differences shown between semitones in Pythagorean and Equal Temperament are representative of the classic difficulties encountered in the building up of musical scales. |
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http://hyperphysics.phy-astr.gsu.edu/hbase/music/et2.html
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| | History of Tuning and Temperament |
| | Equal temperament is the only practical temperament for the modern piano. | | | All music sounds best when played in the temperament that the composer was using at the time. | | | It was introduced into western music early in the 16th century with the invention of fretted string instruments. |
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http://www.terryblackburn.us/music/temperament/stoess.htm
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| | A beginner's guide to temperament |
| | On equal temperament this is uniformly dull, and music of this type fails dismally to engage the listener. | | | It is quite satisfactory for music written in the old 'modes' that preceeded the major and minor scales, provided there is no modulation whatever. | | | All the rest of Bach's music falls into the more conventional patterns of the day, most of it being quite well suited to modified mean-tone temperament (even if it continually pushes at the boundaries of this system). |
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http://www.users.dircon.co.uk/~oneskull/3.6.04.htm
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| | The Equal Tempered Scale and Peculiarities of Piano Tuning |
| | Understanding the equal tempered scale and the rational for the stretching of the upper octaves in piano tuning involves an understanding of something about both the physics of sound, and the history of music. | | | There are systematic methods of setting the temperament which depend on setting intervals to natural harmonics, and then adjusting them sharp or flat by listening to, and adjusting for a specific beat rate. | | | The equal tempered scale used forms the basis for modern western music and will be described in more depth. |
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http://www.precisionstrobe.com/apps/pianotemp/temper.html
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| | Aural Pure 5ths Equal Temperament |
| | After all, since the advent of equal temperament we have been condition- ed to listening to 3rds which beat more than 7 beats per second. | | | The overall sound of the piano is quite exciting. | | | What is the practical limit of beats which we can tolerate in the sound of the single octaves and the 4ths? |
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http://www.ptg.org/pipermail/pianotech/1997-May/017310.html
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| | An Introduction to Historical Tunings |
| | Jorgensen considers Young's Well Temperament to be the most elegant well temperament, with a fluid variety of tonal colors and a symmetry that matches the piano keyboard: all intervals are symmetrical around D and G# - that is, D-F# and D-Bb are the same size, G#-F# and Ab-Bb the same size, and so on. | | | Meantone temperament sacrificed the seconds, which were mainly melodic intervals rather than harmonic ones anyway, to achieve beautiful thirds. | | | Those who attack equal temperament, the tuning of our modern pianos - as I do on my Just Intonation Explained page - seem to be attacking the great European musical tradition itself. |
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http://www.kylegann.com/histune.html
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| | 1 Tone Equal Temperament - |
| | The musical scale 72 tone equal temperament accesses just intervals up to the 17-limit yet includes 12 tone equal temperament. | | | tone equal temperament (though not in the strictest of senses, as in the string quartet the violins take the 1/1 as... | | | 25 Studies Opus 1 (Yamaha FM synthesizers, 19 tone equal temperament, well temperament) Complex computer music... |
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http://tone.fmqg.com/index.php?k=1-tone-equal-temperament
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| | Guitar Files - Equal Temperament Tuning |
| | You must accept this compromise because the guitar is an instrument of fixed pitch and the strings must be tuned to tempered intervals, not pure. | | | They tune their guitar beautifully pure on one chord only to discover that the next chord form is unacceptable. | | | The following is a reprint of THE GUILD OF Many guitarists are frustrated because of their attempts to tune the guitar to pure chords (free of beats). |
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http://www.theguitarfiles.com/guitarfile-print-123.html
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| | LucyTuning, meantone, equal temperament |
| | Results generated using temperament spreadsheet v1.3, which see for explanation of the charts. | | | These are followed by charts showing subjective interval and triad perception, as defined on the temperament spreadsheet page. | | | A pure major third such as C-E is 5/4, so to put the D exactly between them ("a mean tone" where C-D and D-E are the same-sized intervals), the intervals C-D and D-E are each the square root of 5/4. |
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http://www-personal.umich.edu/~bpl/templucy.html
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| | Historical Tuning |
| | Such music was composed to be played on specific tunings such as meantone or well temperament, not equal temperament, which is almost exclusively used today. | | | If you want to play and hear Bach as he intended it, you must tune your harpsichord (or piano, if that's all you have) in well temperament, not equal temperament. | | | So has the fact that J. Bach wrote music intended to be played in well temperament. |
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http://users.bestweb.net/~rmp
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| | Twelve-Tone Musical Scale |
| | The Equal Temperament Scales Spreadsheet (MS Excel) shows all the ET scales from 2 to 53 tones, and allows you to see how well they match the "ideal" intervals of your choice. | | | The pure intervals smaller than or equal to an octave that are commonly considered to be consonant are: | | | The intervals in both systems are never exactly the same (except the octave), but they are very close - always within about one percent or better. |
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http://thinkzone.wlonk.com/Music/12Tone.htm
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| | Temperament |
| | Creating twelve equal steps in an octave changed the proportions that had been used for the various musical intervals, some more drastically than others. | | | The chords of the piano have introduced into music new intervals that accommodate themselves in some way or other to temperament. | | | Yet, its sound was a radical departure at the time. |
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http://www.72note.com/temperaments/temperament.html
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| | equal-temperament |
| | Because of the physiology of the human auditory system, the successive intervals of Equal Temperaments sound perceptually equal over most of the audible range. | | | This is not to be confused with equal-temperament, and instead actually denotes certain meantones, well-temperament, and other tunings where the varying temperings of different intervals results in them having equal numbers of beats per second. | | | Below are some graphics by Paul Erlich, which show the amount of error for various EDOs for the basic concordant intervals in the 5-limit. |
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http://tonalsoft.com/enc/e/equal-temperament.aspx
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| | Powers, Roots, and Equal Temperament |
| | They are particularly useful when discussing equal temperament. | | | Summary: A review of roots and powers for the music student who wishes to understand frequency relationships in equal temperament. | | | You do not need to use powers and roots to discuss music unless you want to talk about frequency relationships. |
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http://cnx.rice.edu/content/m11809/latest
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| | Skytopia : Tuning & Music Scales Theory - Why are there 12 notes in Equal temperament? |
| | These unorthodox scales used in Xenharmonic music sound very strange to most people (at least in the western hemisphere), but there are quite a few people who compose music like this. | | | Also visit the Aesthetics of music page to see if music can be rated outside of human opinion. | | | The general consensus is that the equal tempered 12 note scale has always been an admittedly good but imperfect 'compromise' when put up against 'Just interval', 'Well tempered', 'Mean-tone' or 'Pythagorean' tunings. |
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http://www.skytopia.com/project/scale.html
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| | Equal Temperament |
| | Tuning and Temperaments Early Music Institute School of Music IU Bloomington | | | Equal tempered 5ths are narrow by ½ beat per second. | | | Equal tempered 4ths are wide by 1 beat per second. |
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http://www.music.indiana.edu/som/piano_repair/temperaments/Equal.html
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| | Equal Temperament Company |
| | Equal Temperament Solutions uses the ClickTime Web Timesheet for our time tracking. | | | Out of a commitment to the music community, Equal Temperament Solutions supports a few non-profit music organizations with free design, hosting and maintenance services. | | | Find out the kind of services we provide and what we can do for you. |
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http://www.equaltemp.com/company.shtml
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| | MSN Encarta - Equal Temperament |
| | Equal Temperament, in music, a type of temperament (tuning of a scale) in which every semitone within an octave is exactly equal. | | | Become a subscriber today and gain access to: |
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http://encarta.msn.com/encyclopedia_762505559/Equal_Temperament.html
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| | Temperament |
| | One approach to mean tone temperament on keyboards with only one set of black note keys is to pick and mix members of both the ascending and descending series so as to obtain the most even semitone steps, Db, Eb, F#, G# A#. | | | Tunings which attempt to eradicate the wolf intervals or minimize their impact on a particular style of music are known as well temperament. | | | A convenient analysis of mean tone temperament is facilitated by the modern logarithmic interval measure of a cent. |
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http://www.midicode.com/tunings/temperament.shtml
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| | 12-edo, 12-tone equal-temperament, 12-tET |
| | As composers sought new means of organizing musical pitches, the desire grew to explore these "new" temperament families and to modulate from one to another, a procedure which is facilitated by 12-edo's membership in so many different families. | | | 12-edo can be classified as a linear temperament, with the generator having an interval size of either a minor-2nd semitone (or its octave-complement a major-7th), or a perfect-5th (or its octave-complement a perfect-4th): | | | Modern techniques of mass-production finally secured the place of 12-edo in the late 1900s, as millions of guitars and electronic keyboards were produced tuned to 12-edo. |
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http://tonalsoft.com/enc/number/12edo.aspx
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| | Mathematics of musical scales - Wikipedia, the free encyclopedia |
| | The interval 81/80, called the syntonic comma or comma of Didymus, is the key comma of meantone temperament, and the fact that it becomes a unison in meantone temperament is a key fact of Western music. | | | These scale have their uses, but the 12 tone scale does the best job approximating the perfect fifth, perfect fourth, minor third, major third, minor sixth, and major sixth. | | | Equal tempered scales have been built using 19 equally spaced tones, and also 24 equally spaced tones. |
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http://en.wikipedia.org/wiki/Mathematics_of_musical_scales
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| | Equal_Temperament |
| | In western music, the octave is divided into twelve exactly equal intervals called semitones. | | | for a comparison of intervals expressed in equal temperament and other tunings; see also | | | This system allowed musicians to modulate from one key or tonality to any other without sounding out of tune, that process not being practical in a system of just intonation. |
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http://www.sfu.ca/sonic-studio/handbook/Equal_Temperament.html
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| | Music Tutor: Equal Temperment |
| | Equal temperament is the system of dividing the octave into 12 equal intervals, called half-steps. | | | This can clearly be heard in the major thirds on a well-tuned piano. | | | In the past instruments were tuned to play some keys well and others badly. |
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http://www.cinderzelda.com/musictutor/pitch/eqt.htm
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| | Equal Temperament |
| | EQUAL TEMPERAMENT'S CD "Parhelion" is available at Eroica Classical Recordings | | | EQUAL TEMPERAMENT (Eric and Stacey Jones) is a husband/wife percussion duo dedicated to the performance and generation of new works for percussion duo. | | | The duo has commissioned works by several composers including Erik Santos, Jeffrey Peyton, David Jarvis, and Thomas Brett. |
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http://www.msu.edu/user/joneser8
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| | Scales: Just vs Equal Temperament |
| | For the purposes of this chart, it is assumed that C4 = 261.63 Hz is used for both (this gives A4 = 440 Hz for the equal tempered scale). | | | There are other temperaments which have been put forth over the years, such as the Pythagorean scale, the Mean-tone scale, and the Werckmeister scale. | | | For the equal temperament scale, the frequency of each note in the chromatic scale is related to the frequency of the notes next to it by a factor of the twelfth root of 2 (1.0594630944....). |
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http://www.phy.mtu.edu/~suits/scales.html
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| | Equal Temperament |
| | The use of Equal Temperament means that all pianos, tuned theoretically perfectly, are all tuned the same. | | | There is no such thing as theoretical perfection in tuning (except in traditional theory, which is oversimplified and based on incorrect premises). | | | Most tunings in Equal Temperament are the same in some respects, just like most human faces are the same in some respects. |
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http://www.amarilli.co.uk/piano/et.asp
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| | No. 380: Equal Temperament |
| | He also points out that most of us, who might have trouble discerning scales tuned in different schemes of temperament, will actually react more negatively to music played in equal-temperament, on a less-than-conscious level. | | | Equal temperament is as Western as apple pie. | | | That's a tradeoff most modern musicians are willing to make. |
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http://www.uh.edu/engines/epi380.htm
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| | equal temperament - OneLook Dictionary Search |
| | equal temperament : Essentials of Music [home, info] | | | Phrases that include equal temperament: 12-tone equal temperament, 12 equal temperament, 19 equal temperament, 19 tone equal temperament, 22-tone equal temperament, more... | | | Example: "Equal temperament is the system commonly used in keyboard instruments" |
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http://www.onelook.com/?w=equal+temperament&ls=a
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| | Equal Temperament Tuning |
| | We just want to get the guitar tuned so that all chords sound equally good (or equally "bad"). | | | Plenty has been written about how to get a guitar in tune and there have even been special parts invented to overcome the fingerboard's imperfection. | | | But never mind the specifics of why this happens. |
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http://www.glowingtubes.com/p/equal_temperament_tuning.htm
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| | Equal Temperament |
| | Sixth Tone Guitar Neck - an equal tempered microtonal instrument (more) | | | Alois Haba, Lou Harisson, Joe Maneri, Charles Ives, Bela Bartok (in a violin concerto but sometimes omitted), and many other composers have worked with equal temperaments other than 12TET with very interesting results. Equal tempered systems are very easy to build fretted string instruments for because unbroken frets can travel straight underneath all the strings. | | | Qrt String 11/12/15/16/Fant/St (I haven't heard this but the one I know well is no longer available. |
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http://www.organicdesign.org/peterson/tuning/et.html
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| | Equal temperament tuning |
| | Many technicians feel equal temperament is the “only” tuning for the modern piano. | | | New research indicates true equal temperament was not practiced regularly until the early 20th century. | | | The octave is divided into 12 units of equal size. |
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http://campus.murraystate.edu/staff/scott.thile/research/unequal/tsld004.htm
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| | The Equal Temperament Percussion Duo |
| | EQUAL TEMPERAMENT PERCUSSION DUO (Eric & Stacey Jones) is a husband/wife percussion duo dedicated to the performance and generation of new works for percussion duo. | | | The duo was founded in 1995 and has commissioned works by several composers including Erik Santos, Jeffrey Peyton, David Jarvis, and Thomas Brett. |
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http://www.concertartist.info/eroica/EQU001.html
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| | The Argument for Equal temperament |
| | 114), which certainly seems plausible given that people presumably did enjoy music before equal temperament came into practice. | | | On the other hand, if a composer desires to write tonal music in which modulations occur often without any structural importance, this constraint may be heeded to good effect. | | | The classic Just diatonic scale does this and, to a lesser extent, so does the Pythagorean scale. |
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http://eamusic.dartmouth.edu/~kov/lerdahl/EqTemp.html
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| | Welcome to EqualTemperament.com |
| | We are sorry for any inconvenience we may have caused you but our website will be unavailable for an indeterminate amount of time. | | | Copyright © 1999-2005 by Equal Temperament Services and Garret E. Traylor. |
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http://www.equaltemperament.com
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