Wolf interval - Music Sage

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Topic: Wolf interval


  
 Wolf interval - encyclopedia article about Wolf interval.
This interval is known as a diminished Diminution, from Italian diminuimento, is a musical term used to mean different things in the context of melodies and intervals or chords.
This interval has serious implications for the various tuning schemes of the chromatic scale, because in western music, 12 perfect fifths and seven octaves are treated as the same interval.
Similarly, we obtain nine minor thirds The musical interval of a minor third is the relationship between the first note (the root or tonic) and the third note in a minor scale.
http://encyclopedia.thefreedictionary.com/Wolf%20interval   (2315 words)

  
 Interval
Interval The term interval is used in different yet related ways in music: See: interval (mathematics) interval (time) i...
Simple interval In music a simple octave, which is distinguished from a compound interval which is an interval greater t...
Interval signal An interval signal is a characteristic sound or musical phrase used in international broadcasting and by...
http://www.brainyencyclopedia.com/topics/interval.html   (370 words)

  
 Meantone temperament - Wikipedia, the free encyclopedia
One of the fifths will be a wolf interval, which means it will be so sharp it will not sound at all the same as a perfect fifth, and will not normally be used in music of the common practice period.
Since (9/8) / (10/9) = (81/80), the syntonic comma, the fundamental character of a meantone tuning is that all intervals are generated from fifths, and the syntonic comma is tempered to a unison.
To the right of each interval is listed the formula for the ratio of the interval.
http://en.wikipedia.org/wiki/Meantone_temperament   (1611 words)

  
 Definition of Just intonation
Intervals used are then capable of being more consonant, but consonance is not always emphasized or a goal in music written with just intonation, and a great deal of dissonance may be featured in compositions.
This eliminates the wolf intervals from the diatonic scale without too much damage to the pure consonances; hence meantone tuning was the primary keyboard tuning used in Western music from about 1480 to 1780.
For instance, if you tune a piano to just intonation intervals and a minimum of wolf intervals for the key of G, then only one other key (typically E-flat) can have the same intervals, and many of the keys have a very dissonant and unpleasant sound.
http://www.wordiq.com/definition/Just_intonation   (1288 words)

  
   ---- muziekinstrument.net ----  
Musical intervals corresponding to the ratios of 4:3 (fourth), 5:3 (sixth), and 6:5 (minor 3rd) were, in time, all found to be pleasing, and as progress was made in the control of pitch, useful for composition.
The beating of tempered intervals is audible on the piano.
When an interval is tempered, the common overtone is no longer common, and a very important acoustical phenomenon occurs: a phenomenon that is the crux of tonal “color”.
http://www.muziekinstrument.net/pagina/Stemmingen/1679   (12825 words)

  
 Pythagorean Tuning - More details
As a vertical interval, it is a strong discord which plays a striking role in various two-voice and multi-voice resolutions; as a melodic interval, its rather compact size gives it an expressive quality (see Sections 3.3 above, and 4.2 following).
The "well-tempered" tunings of the 18th century place these intervals on a kind of sliding scale of tensions, with differentials ranging in one scheme from 2/11 of a syntonic comma to a full syntonic comma, the modes or keys considered more remote having the greater acoustical tension.
This interval is often known as a ditonus cum diapente or major third plus fifth, since it is equal to the sum of these intervals (or the product of their ratios).
http://www.medieval.org/emfaq/harmony/pyth4.html   (11001 words)

  
 Meantone temperament : Quarter comma meantone
One of the fifths will be a wolf interval, that is an interval which is so badly out of tune, it isn't usable.
Quarter comma meantone is particularly suitable for music which treats the third as a consonant interval.
In practice, this means most western music since the 16th century.
http://www.eurofreehost.com/qu/Quarter_comma_meantone.html   (402 words)

  
 Tuning Digest # 1597, edited by Joe Monzo
Basically, I would say, a "Wolf" interval is an "unusual" interval in a given tuning system and style which is felt not to be freely substitutable for an "expected" variety of the same interval.
Another and final point is that a "Wolf" interval as defined in a certain stylistic context is only a significant disadvantage if the interval is likely to be used in actual music for a given instrument.
Sometimes it is asserted that "Wolf" intervals are "unusable" or "unplayable," but this judgment is both contextual and often partial: there are often specific sonorities and usages where these intervals are musically useful even in styles where they are generally considered to be "too out-of-tune" for most purposes.
http://sonic-arts.org/td/1597.htm   (1364 words)

  
 Pythagorean Tuning - Basic concepts
Other intervals can be derived from these, and the result in a medieval context is, by the 13th century, a subtle spectrum of interval tensions in practice and theory.
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.
We show the 13 usual intervals of medieval music from unison to octave as listed by Anonymous I around 1290, and by Jacobus of Liege around 1325.
http://www.medieval.org/emfaq/harmony/pyth2.html   (422 words)

  
 Understanding Temperaments
They are characterized by having more than one size of good fifths (and thus thirds), by having no wolf intervals to limit modulation (as in the previous temperaments except equal), and by having a more or less orderly progression in the acoustic quality of the triads from near to remote keys, i.e.
This wolf fifth is conventionally placed between G# and Eb, but is frequently placed elsewhere, depending on the music to be played (on the harpsichord, a few notes can easily be retuned between pieces).
Dissonant intervals will not be considered much here since it seems to matter little whether a dissonant interval is in tune or not.
http://pages.globetrotter.net/roule/temper.htm   (4098 words)

  
 Powell's Books - Review-a-Day - Temperament: The Idea That Solved Music's Greatest Riddle by Stuart Isacoff, reviewed ...
(This interval, logically, spans five notes of the musical scale, say from C to G.) The other harmonious ratio was 4:3, which resulted in the perfect fourth: the interval from C to F. Pythagoras, of course, was not primarily a music theorist.
But the intervals are not supposed to sound "right." They are supposed to sound sublime.
But this music had not yet achieved anything like the Baroque era's sophisticated counterpoint: the fundamental harmonies continued to be based on the octave, the fifth, and the fourth — the "perfect" intervals, which were believed to emulate the choirs of heaven.
http://www.powells.com/review/2001_12_13.html   (4407 words)

  
 The Ultimate Musical tuning - American History Information Guide and Reference
It is impossible to tune the twelve-note chromatic scale so that all intervals are "perfect"; many different methods with their own various compromises have thus been put forward.
Because of this, well temperaments have no wolf intervals.
It must be realized however, that just as many people who play music today in equal temperament without having heard of it, many musicians throughout the world and the past used just intonation without "knowing" it.
http://www.historymania.com/american_history/Musical_tuning   (1106 words)

  
 [No title]
The method tunes using the interval of the 5th, formed by the simplest ratio 3/2 (702 cents).
This gap is known as the Pythagorean Comma and shows up in our circle of 5ths where one of the intervals G# to Eb, has to be 24 cents narrower.
Looked at another way, the Pythagorean Eb forms a pure 5th in Eb-Bb but is 24 cents flat of the note D# we would desire for the pure 5th G#-D#.
http://www.j2b.co.uk/tuning/pythag.htm   (721 words)

  
 J.S. Bach Tuning
A further remark concerns the interval B - F#, which was not tuned explicitly, but rather defined implicitly as a result of other tuning operations: this interval is a "wolf", which needs to be dealt with.
mordant is purely pedagogic; a lesson for Wilhelm Friedemann that narrowing the interval C
# can be interpreted as a widening of the interval E
http://www.eunomios.org/contrib/francis1/francis1.html   (2771 words)

  
 MP3.FM - MP3 Downloads, Song Lyrics, Guitar Tabs, Musical Instruments, FREE CDs, Ringtones, Videos
Interactive music – Interval (music) – Interval class –
List of major chord shapes for guitar – List of popular music terms – Legato
http://www.mp3.fm   (139 words)

  
 piano patents & development
This created some very wild intervals and the howling sound resulted in them being called "wolves or the Wolf interval" If a series of fifths is tuned from bottom A when top A is reached it will be a quarter of a semitone sharp if all tuned precisely and this is called "The Pythagorean Comma"..
About the 13th or 14th Century, keyboards were made of natural modes then being the basis of music.
The interval of the augmented for B to be, was considered discordant, so B was lowered bringing in an extra short note, this then gave five accidentals, B flat was probably followed by F sharp, E flat, C sharp, G sharp.
http://www.hrovatmusic.com/piano_patents__development.htm   (8151 words)

  
 interval
The term interval is used in different yet related ways in mathematics and in music:
This is a disambiguation page; that is, one that just points to other pages that might otherwise have the same name.
http://www.fact-library.com/interval.html   (72 words)

  
 Meantone Tuning
A further drawback is that the human ear is more sensitive to poorly tuned 5ths than it is to 3rds and making the 3rds perfect, at the expense of a 5.5 cent reduction in the interval of the 5th is not the best compromise.
One drawback, however is that the wolf, which was -24 cents in Pythagorean Tuning has worsened to 35 cents in 1/4 comma Meantone.
However, 1/8 comma Meantone is considered 'well-tempered' since the wolf is less than 10 cents, though the 3rds are too active for Renaissance and Baroque music.
http://www.j2b.co.uk/tuning/meantone.htm   (382 words)

  
 IngentaConnect A Comparison of Wolf's Reconstructed Record of Annual Sunspot Num...
A Comparison of Wolf's Reconstructed Record of Annual Sunspot Number with Schwabe's Observed Record of `Clusters of Spots' for the Interval of 1826–1868
IngentaConnect A Comparison of Wolf's Reconstructed Record of Annual Sunspot Num...
While Wolf's reconstruction is complete (without gaps) only from 1849 (hence, the beginning of the modern era), the immediately preceding interval of 1818–1848 is incomplete, being based on an average of 260 observing days per year.
http://www.ingentaconnect.com/content/klu/sola/1998/00000182/00000001/00167164   (417 words)

  
 Re: filled plot on part of x-interval
I did succeed in simply using a Show after creating two separate plots, one of the plain graph over the entire, larger interval; the other just the filled plot with PlotRange to restrict the interval over which the fill is shown.
That does NOT do what I asked, since it does not draw the function graph outside the interval over which it's filled.
RE: filled plot on part of x-interval, David Park
http://www.usenet.com/newsgroups/comp.soft-sys.math.mathematica/msg01473.html   (289 words)

  
 Prolonged QT interval predicts cardiac and all-cause mortality in the elderly: The Rotterdam Study -- de Bruyne et al. ...
the highest quartile of the heart-rate corrected QT interval
Ahnve S. QT interval prolongation in acute myocardial infarction.
Conclusion A prolonged heart-rate corrected QT interval is an
http://www.eurheartj.org/cgi/content/refs/20/4/278   (1105 words)

  
 [No title]
Technion Seminar in Probability and Stochastic Processes Speaker: Eddy Mayer-Wolf, Technion, Title: Coagulation-Fragmentation in the Unit Interval Date: Tuesday, July 2, Time: 11:30 Place: Hashmal 861 Abstract: Two parts in a partition of [0,1] are size-bias sampled with replacement.
If they were distinct they merge, otherwise the twice chosen part splits uniformly into two new parts.
http://www.math.technion.ac.il/~techm/20020702113020020702may   (106 words)

  
 wolf interval - OneLook Dictionary Search
We found one dictionary with English definitions that includes the word wolf interval:
Tip: Click on the first link on a line below to go directly to a page where "wolf interval" is defined.
http://public.onelook.com/?loc=rescb&w=wolf+interval   (71 words)

  
 wolf
Indeed, there may in fact be no more than a single wolf species.
Many fantasy novels depict friendships between humans and wolves, and the comic book Elfquest centers around the Wolfrider elf tribe and its wolfpack.
White Wolf - April 30th to End Sale of World of Darkness Books
http://www.fact-library.com/wolf.html   (532 words)

  
 [No title]
Legend: A = 1 obs, B = 2 obs, etc. wolf 27 + A
http://www.stat.sfu.ca/~cschwarz/Stat-650/Notes/MyPrograms/wolf.lst   (15 words)

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