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Thus the major third is considered not a third but a ditone, literally "two tones", and is (9:8) 2 = 81:64, rather than the independent and harmonic just 5:4 = 80:64 directly below. A whole tone is a secondary interval, being derived from two perfect fifths minus an octave, (3:2) 2 /2 = 9:8.
The extremes of the meantone systems encountered in historical practice are the Pythagorean tuning, where the whole tone corresponds to 9:8, i.e. (3:2) 2 / 2 , the mean of the major third (3:2) 4 / 4 , and the fifth (3:2) is not tempered; and the 1 ⁄ 3-comma meantone, where the fifth is tempered to the extent that three ...
List of musical scales and modes Name Image Sound Degrees Intervals Integer notation # of pitch classes Lower tetrachord Upper tetrachord Use of key signature usual or unusual ; 15 equal temperament
Each sector (or "timecode frame") consists of a sequence of channel frames. These frames, when read from the disc, are made of a 24-bit synchronization pattern with the constant sequence 1000-0000-0001-0000-0000-0010, not present anywhere else on the disc, separated by three merging bits, followed by 33 bytes in EFM encoding, each followed by 3 merge bits.
There may be any number of beats in a measure but the most common by far are multiples of 2 or 3 (i.e., a top number of 2, 3, 4, or 6). Likewise, any note length can be used to represent a beat, but a quarter note (indicated by a bottom number of 4) or eighth note (bottom number of 8) are by far the most common.
This category has the following 2 subcategories, out of 2 total. M. Musical tuning (13 C, 51 P) S. Musical set theory (1 C, 23 P) Pages in category "Mathematics of music"
In mathematics, the open unit disk (or disc) around P (where P is a given point in the plane), is the set of points whose distance from P is less than 1: = {: | | <}. The closed unit disk around P is the set of points whose distance from P is less than or equal to one:
For example, a just perfect fifth (for example C to G) is 3:2 (Play ⓘ), 1.5, and may be approximated by an equal tempered perfect fifth (Play ⓘ) which is 2 7/12 (about 1.498). If the A above middle C is 440 Hz , the perfect fifth above it would be E , at (440*1.5=) 660 Hz, while the equal tempered E5 is 659.255 Hz.