twelfth

twelfth / 12th / diatonic-12th A diatonic interval which traverses 11 steps in a diatonic scale, and covers a pitch distance bounded by 12 nominals inclusively, an octave plus a 5th.

Counting the interval from 'C', past the octave to 'G' gives 12 notes. These are C, D, E, F, G, A, B, C, D, E, F, and G. Thus this interval's number quality is a 'twelfth. This interval is an octave higher than the 'fifth' interval.

The idea behind twelve is to build up a collection of notes using just one ratio. The advantage to doing so is that it allows a uniformity that makes modulating between keys possible.

12 equal temperament (12-ET) is the musical system that divides the octave into 12 parts, all of which are equally tempered (equally spaced) on a logarithmic scale, with a ratio equal to the 12th root of 2 ( 12√2 ≈ 1.05946).

The reason is because over the years humanity has realized that these 12 notes sound good with each other. Even between notes, some sound better with one another. For example any will always sound better with it's perfect fifth, than it will with its augmented fourth interval.

In the western musical scale, there are 12 notes in every octave. These notes are evenly distributed (geometrically), so the next note above A, which is B flat, has frequency 440 × β where β is the twelfth root of two, or approximately 1.0595.

Intervals are a measurement between two pitches, either vertically or horizontally. When measuring vertically, we refer to harmonic intervals because the two notes sound simultaneously. When measuring horizontally, we refer to melodic intervals because the notes occur one after the other.

Each semitone is equal to one twelfth of an octave. This is a ratio of 21/12 (approximately 1.05946), or 100 cents, and is 11.7 cents narrower than the 16:15 ratio (its most common form in just intonation, discussed below). All diatonic intervals can be expressed as an equivalent number of semitones.

Arnold Schoenberg In 1923, Arnold Schoenberg (1874–1951) developed his own, better-known version of 12-tone technique, which became associated with the "Second Viennese School" composers, who were the primary users of the technique in the first decades of its existence.

Chromatic scales are the scales that includes all twelve tones in sequential order: A, A#/Bb, B, C, C#/Db, D, D#/Eb, E, F, F#/Gb, G, and G#/Ab. Chromatic scales can start from any of the twelve tones, so there are twelve different iterations or inversions of the scale.

In music intervals are the relationship between any two notes. The name of the interval has two parts first the type of the interval.

Like the Beast, it goes by many names: Diabolus in musica (devil in music), the devil's interval, the tritone, the triad and the flatted fifth. As its Latin moniker suggests, it's an evil sounding combination of notes that's designed to create a chilling or foreboding atmosphere.