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In music theory, an eleventh is a compound interval consisting of an octave plus a fourth. A perfect eleventh spans 17 and the augmented eleventh 18 semitones, or 10 steps in a diatonic scale. Since there are only seven degrees in a diatonic scale, the eleventh degree is the same as the subdominant (IV). [1]
The 11th harmonic is notated with the arrow notation for a demisharp (F↑ as opposed to F) while the 7th, 13th, 17th and 19th are labeled with harmonic flats and harmonic sharps relative to C (because the 17th and 19th harmonics are closer to equal temperament than the (unlabeled) 5th, labeling of those is seldom necessary).
The size of an interval between two notes may be measured by the ratio of their frequencies.When a musical instrument is tuned using a just intonation tuning system, the size of the main intervals can be expressed by small-integer ratios, such as 1:1 (), 2:1 (), 5:3 (major sixth), 3:2 (perfect fifth), 4:3 (perfect fourth), 5:4 (major third), 6:5 (minor third).
The time 8:45 may be spoken as "eight forty-five" or "(a) quarter to nine". [19] In older English, it was common for the number 25 to be expressed as "five-and-twenty". [20] In this way the time 8:35 may be phrased as "five-and-twenty to 9", [21] although this styling fell out of fashion in the later part of the 1900s and is now rarely used. [22]
The notation 8 a or 8 va is sometimes seen in sheet music, meaning "play this an octave higher than written" (all' ottava: "at the octave" or all' 8 va). 8 a or 8 va stands for ottava, the Italian word for octave (or "eighth"); the octave above may be specified as ottava alta or ottava sopra).
On the other hand, the octave series is a geometric progression (2f, 4f, 8f, 16f, ...), and people perceive these distances as "the same" in the sense of musical interval. In terms of what one hears, each successively higher octave in the harmonic series is divided into increasingly "smaller" and more numerous intervals.
12-tone equal temperament chromatic scale on C, one full octave ascending, notated only with sharps. Play ascending and descending ⓘ. 12 equal temperament (12-ET) [a] 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 (≈ 1.05946).
Most time signatures consist of two numerals, one stacked above the other: The lower numeral indicates the note value that the signature is counting. This number is always a power of 2 (unless the time signature is irrational), usually 2, 4 or 8, but less often 16 is also used, usually in Baroque music. 2 corresponds to the half note (minim), 4 to the quarter note (crotchet), 8 to the eighth ...