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In an equal temperament, the distance between two adjacent steps of the scale is the same interval. Because the perceived identity of an interval depends on its ratio, this scale in even steps is a geometric sequence of multiplications.
Definition. Temperament, in music, the accommodation or adjustment of the imperfect sounds by transferring a part of their defects to the more perfect ones, in order to remedy, in some degree, the false intervals of those instruments, the sounds of which are fixed; as the organ, harpsichord, piano-forte, etc.
1 sty 1986 · PDF | On Jan 1, 1986, J. T. Kent published Ternary continued fractions and the evenly-tempered musical scale | Find, read and cite all the research you need on ResearchGate
In general, a temperament or tempered scale is any scale that results from adjusting the intervals of some other scale. One benefit of the Pythagorean method in general is that it allows us to iteratively refine the scale if
1 cze 2021 · Today the “equal temperament” is mostly used, a mathematically created scale with logarithmically equal intervals between half tones. It is a compromise, making it possible that a piano and a violin (for instance) can find an agreeable way to play together.
What’s a Scale? ‣ A scale is a pattern of notes, usually within an octave ‣ In Western music we use the diatonic scale. ‣ This scale contains seven distinct pitch classes and is part of a general class of scales known as heptatonic ‣ Doubling the frequency of a tone in this scale requires going up by 8 notes: hence the term “octave”
Well-formed (WF) scales/sets were defined by Carey and Clampitt (1989). In the example given, the constant number of pcs (four, inclusively) spanned by each generating interval of 7, as well as by the residual "return-to-origin" interval of 8 is evi-.
