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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 ...
Diatonic scale on C, equal tempered Play ⓘ and Ptolemy's intense or just Play ⓘ.. Ptolemy's intense diatonic scale, also known as the Ptolemaic sequence, [1] justly tuned major scale, [2] [3] [4] Ptolemy's tense diatonic scale, or the syntonous (or syntonic) diatonic scale, is a tuning for the diatonic scale proposed by Ptolemy, [5] and corresponding with modern 5-limit just intonation. [6]
Major-thirds tuning is a regular tuning in which the musical intervals between successive strings are each major thirds. [ 29 ] [ 30 ] [ 31 ] Unlike all-fourths and all-fifths tuning, major-thirds tuning repeats its octave after three strings, which again simplifies the learning of chords and improvisation.
Quadrangularis Reversum, one of Partch's instruments featuring the 43-tone scale. The 43-tone scale is a just intonation scale with 43 pitches in each octave.It is based on an eleven-limit tonality diamond, similar to the seven-limit diamond previously devised by Max Friedrich Meyer [1] and refined by Harry Partch.
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).
Man turning tuning pegs to tune guitar Tuning of Sébastien Érard harp using Korg OT-120 Wide 8 Octave Orchestral Digital Tuner. Tuning is the process of adjusting the pitch of one or many tones from musical instruments to establish typical intervals between these tones. Tuning is usually based on a fixed reference, such as A = 440 Hz.
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).
Claudius Ptolemy of Alexandria described several 7-limit tuning systems for the diatonic and chromatic genera. He describes several "soft" (μαλακός) diatonic tunings which all use 7-limit intervals. [7] One, called by Ptolemy the "tonic diatonic," is ascribed to the Pythagorean philosopher and statesman Archytas of Tarentum.