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Two sets [twelve-tone series], P and P ′ will be considered equivalent [equal] if and only if, for any p i,j of the first set and p ′ i ′,j ′ of the second set, for all is and js [order numbers and pitch class numbers], if i=i ′, then j=j ′. (= denotes numeral equality in the ordinary sense).
In 12-tone equal temperament (12-ET), the minor sixth is enharmonically equivalent to the augmented fifth. It occurs in first inversion major and dominant seventh chords and second inversion minor chords. It is equal to eight semitones, i.e. a ratio of 2 8/12:1 or simplified to 2 2/3:1 (about 1.587), or 800 cents.
A musical passage notated as flats. The same passage notated as sharps, requiring fewer canceling natural signs. Sets of notes that involve pitch relationships — scales, key signatures, or intervals, [1] for example — can also be referred to as enharmonic (e.g., the keys of C ♯ major and D ♭ major contain identical pitches and are therefore enharmonic).
The set of the equivalence classes is sometimes called the quotient set or the quotient space of by , and is denoted by /. When the set S {\displaystyle S} has some structure (such as a group operation or a topology ) and the equivalence relation ∼ {\displaystyle \,\sim \,} is compatible with this structure, the quotient set often inherits a ...
Based on the statements and interviews that have been made public so far, the news of Luigi Mangione’s arrest seems to have come as a shock to those who knew him.
In music, letter notation is a system of representing a set of pitches, for example, the notes of a scale, by letters. For the complete Western diatonic scale, for example, these would be the letters A-G, possibly with a trailing symbol to indicate a half-step raise (sharp, ♯) or a half-step lowering (flat, ♭). This is the most common way ...
Cracker Barrel has apologized after its Waldorf, Maryland, restaurant refused to serve a group of students with special needs last week.. The Lebanon, Tennessee-based restaurant chain said that ...
Former Florida Congressman Matt Gaetz paid tens of thousands of dollars to women for drugs and sex that were violations of a series of House rules and included obstruction of Congress, the U.S ...
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