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For the ordinary diatonic scales described here, the T-s are tones and the s-s are semitones which are half, or approximately half the size of the tone.But in the more general regular diatonic tunings, the two steps can be of any relation within the range between T = 171.43 ¢ (for s = T at the high extreme) and T = 240 ¢ (for s = 0 at the low extreme) in musical cents (fifth, p5, between 685 ...
Alexander J. Ellis refers to a tuning of seventeen tones based on perfect fourths and fifths as the Arabic scale. [2] In the thirteenth century, Middle-Eastern musician Safi al-Din Urmawi developed a theoretical system of seventeen tones to describe Arabic and Persian music, although the tones were not equally spaced.
31 EDO on the regular diatonic tuning continuum at p5 = 696.77 cents [1]. In music, 31 equal temperament, 31 ET, which can also be abbreviated 31 TET (31 tone ET) or 31 EDO (equal division of the octave), also known as tricesimoprimal, is the tempered scale derived by dividing the octave into 31 equally-proportioned steps (equal frequency ratios).
English: Graph showing the frequencies and value in cents of the notes of the equal-tempered diatonic scale tuned to concert pitch (A4 = 440Hz), starting with C1 and ending with C5 (middle C = C4). Vertical grid lines correspond to equal-tempered semitones.
Solo tuning is a system of choosing the reeds for a diatonic wind instrument (such as a harmonica or accordion) to fit a pattern where blow notes repeat a sequence of C E G C (perhaps shifted to begin with E or with G) and draw notes follow a repeating sequence of D F A B (perhaps correspondingly shifted).
12 tone equal temperament chromatic scale on C, one full octave ascending, notated only with sharps. Play ascending and descending ⓘ. An equal temperament is a musical temperament or tuning system that approximates just intervals by dividing an octave (or other interval) into steps such that the ratio of the frequencies of any adjacent pair of notes is the same.
Richter tuning is a system of choosing the reeds for a diatonic wind instrument (such as a harmonica or accordion).It is named after Joseph Richter, a Bohemian instrument maker who adopted the tuning for his harmonicas in the early 19th century and is credited with inventing the blow/draw mechanism that allows the harmonica to play different notes when the air is drawn instead of blown.
For example, to make a 12 note chromatic scale in Pythagorean tuning close at the octave, one of the fifth intervals must be lowered ("out-of-tune") by the Pythagorean comma; this altered fifth is called a "wolf fifth" because it sounds similar to a fifth in its interval size and seems like an out-of-tune fifth, but is actually a diminished ...