Search results
Results from the WOW.Com Content Network
For the ordinary diatonic scales described here, the T-s are tones and the s-s are semitones which are half, or approximately half the size of the tone.But in the more general regular diatonic tunings, the two steps can be of any relation within the range between T = 171.43 ¢ (for s = T at the high extreme) and T = 240 ¢ (for s = 0 at the low extreme) in musical cents (fifth, p5, between 685 ...
If the generators are all the prime numbers up to a given prime p, we have what is called p-limit just intonation.Sometimes some irrational number close to one of these primes is substituted (an example of tempering) to favour other primes, as in twelve tone equal temperament where 3 is tempered to 2 19 ⁄ 12 to favour 2, or in quarter-comma meantone where 3 is tempered to 2 4 √ 5 to favor ...
31 EDO on the regular diatonic tuning continuum at p5 = 696.77 cents [1]. In music, 31 equal temperament, 31 ET, which can also be abbreviated 31 TET (31 tone ET) or 31 EDO (equal division of the octave), also known as tricesimoprimal, is the tempered scale derived by dividing the octave into 31 equally-proportioned steps (equal frequency ratios).
The most widely known example of this is the use of equal temperament to address problems of older temperaments, allowing for consistent tuning of keyboard and fretted instruments and enabling musical composition in, and modulation among, the various keys.
For example, to make a 12 note chromatic scale in Pythagorean tuning close at the octave, one of the fifth intervals must be lowered ("out-of-tune") by the Pythagorean comma; this altered fifth is called a "wolf fifth" because it sounds similar to a fifth in its interval size and seems like an out-of-tune fifth, but is actually a diminished ...
This page was last edited on 28 October 2016, at 13:03 (UTC).; Text is available under the Creative Commons Attribution-ShareAlike 4.0 License; additional terms may apply.
English: Graph showing the frequencies and value in cents of the notes of the equal-tempered diatonic scale tuned to concert pitch (A4 = 440Hz), starting with C1 and ending with C5 (middle C = C4). Vertical grid lines correspond to equal-tempered semitones.
For example, Easley Blackwood, author of The Structure of Recognizable Diatonic Tunings (1985), wrote many etudes in equal temperament systems ranging from 12 to 24 tones. These etudes bring out connections and resemblances to twelve-tone music as well as various xenharmonic characteristics, reflected in Twelve Microtonal Etudes for Electronic ...