Theory. Cambridge: Cambridge University Press. ISBN 0521616972. Centaur a 7 limit tuning shows Centaur tuning plus other related 7 tone tunings by others...

Five-limit tuning, 5-limit tuning, or 5-prime-limit tuning (not to be confused with 5-odd-limit tuning), is any system for tuning a musical instrument...

intonation, their harmonic limit may be ambiguous. 3-limit (Pythagorean) tuning Five-limit tuning 7-limit tuning Numerary nexus Otonality and Utonality Tonality...

Pythagorean tuning is a broken circle of fifths. This creates two distinct semitones, but because Pythagorean tuning is also a form of 3-limit just intonation...

Pipe organs were the last fixed-tuning instrument to adopt equal temperament. With the transition of organ tuning from meantone to equal-temperament...

Pythagorean tuning is a system of musical tuning in which the frequency ratios of all intervals are determined by choosing a sequence of fifths which are...

point for comparison, in three-limit tuning the Pythagorean major third is an 81/64 ratio, which is 407.8 cents. A tuning is a choice of pitches in a scale...

thirds of 6/5 plus a septimal minor third of 7/6 and an octave (2/1). This comma is important to certain tuning systems, such as septimal meantone temperament...

distinguish the 5:4 ratio from major thirds created using other tuning methods. 7 limit and higher systems use higher prime number partials in the overtone...

narrow 7:6 subminor third...The seventh harmonic...was problematic in all Western tuning systems. The interval it forms with the sixth harmonic [7:6 subminor...

extend tuning beyond common-practice, extending music to the 7-limit, including the 7/6 septimal minor third, the 7/5 septimal tritone and the 8/7 septimal...

possible in 5-limit tuning. 7-limit tuning allows for the justest possible ratios (ratios with the smallest numerator and denominator), namely 7:5 for the...

with respect to Pythagorean tuning, which can be considered a 3-limit just intonation tuning. Namely, while Pythagorean tuning determines only 2 wolf intervals...

take a specific alternative name in Pythagorean tuning, five-limit tuning, or meantone temperament tuning systems such as quarter-comma meantone. All the...

second play is the musical interval exactly or approximately equal to an 8/7 ratio of frequencies. It is about 231 cents wide in just intonation. 24 equal...

meantone will give four septimal thirds among the twelve major thirds of the tuning; this entails that three septimal major triads appear along with one chord...

interval in its own right, or as a comma; if it is tempered out in a given tuning system, the distinction between these two intervals is lost. The septimal...

or about 48.77 cents wide. The name derives from the interval being the 7-limit approximation of a quarter tone. The septimal quarter tone can be viewed...

meanings for tuning: Tuning practice, the act of tuning an instrument or voice. Tuning systems, the various systems of pitches used to tune an instrument...

In musical tuning, a lattice "is a way of modeling the tuning relationships of a just intonation system. It is an array of points in a periodic multidimensional...

interval 7:5, about 582.51 cents Septimal whole tone, the musical interval exactly or approximately equal to an 8/7 ratio of frequencies 7-limit tuning, musical...

interval of approximately 7.7 cents. Factoring it into primes gives 2−5 32 52 7−1, which can be rewritten 2−1 (5/4)2 (9/7). That says that it is the...

F, B♭ (ratios 4:6:7:8:9:12 Play), adding C and E♭ to the magic chord when combined as the magic opening chord (Play). The Well-Tuned Piano is based on...

tempered out by a number of equally tempered tuning systems, including 19-ET, 24-ET and 29-ET; these tunings do not distinguish between the septimal whole...

cents) plus a septimal kleisma (the interval 225:224, or 7.71 cents). Major diatonic semitone (5-limit, 16:15) Minor diatonic semitone (or septendecimal diatonic...

In music and tuning, the ragisma is an interval with the ratio of 4375:4374, ≈0.396 cents (a superparticular ratio). It is usually defined as the difference...

v t e Intervals Twelve- semitone (post-Bach Western) Other tuning systems Other intervals List of pitch intervals...

He also describes 7-limit "soft" diatonics and an 11-limit "even" diatonic. This tuning was declared by Zarlino to be the only tuning that could be reasonably...

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z Lists See also 7-limit tuning 15 equal temperament 17 equal temperament 19 equal temperament 22 equal...

musical interval with ratio 7:5 (582.51 cents). The greater septimal tritone (also Euler's tritone), is an interval with ratio 10:7 (617.49 cents). They are...