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...

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...

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

pure intonation is the tuning of musical intervals as whole number ratios (such as 3:2 or 4:3) of frequencies. An interval tuned in this way is said to...

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...

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...

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...

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

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...

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...

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...

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...

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...

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...

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...

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...

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...

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...

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...

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...

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...

live on a 7-string with a high Eb due to some leads being tracked in a higher tuning. Microtonal tuning The open strings of a guitar can be tuned to microtonal...

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

inner and outer diameters. He also constructed a 12-string tuning instrument, with a set of tuning pitch pipes hidden inside its bottom cavity. In 1890, Victor-Charles...

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...

ratios most commonly of 250/243 in 5-limit tuning, or of 36/25 in 7-limit tuning. The 5-limit just intonation schisma (ratio 32 805 / 32 768) is a micro-coincidence...

jubilisma). It is about 0.72 cents (Play). 2401/2400 = 128/75 / (8/7)4 2401/2400 = (7/6)4 / 50/27 It is therefore the difference between one kind of classic...