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In superpythagorean tunings, the diminished third is narrower than the major second. In the special case of 17 equal temperament , the chromatic semitone and diminished third are in fact represented by the same interval of 141.18 cents, which allows the minor third to be evenly divided in half.
Starting the scale on a different degree will always create a new mode with individual interval layouts—for example starting on the second degree of a major scale gives the "Dorian mode"—tone, semitone, tone, tone, tone, semitone, tone. This is not so of the modes of limited transposition, which can be modally shifted only a limited number ...
Half diminished scale: Half diminished scale on C. Play ... W-H-W-H-W-W-W (0,2,3,5,6,8,10) 7: minor: whole tone — Harmonic major scale: Harmonic major scale on C.
In the diatonic scale, [b] a step is either a minor second (sometimes also called half step) or major second (sometimes also called whole step), with all intervals of a minor third or larger being skips. For example, C to D (major second) is a step, whereas C to E (major third) is a skip.
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 ...
Just major third. Pythagorean major third, i.e. a ditone Comparison, in cents, of intervals at or near a major third Harmonic series, partials 1–5, numbered Play ⓘ.. In music theory, a third is a musical interval encompassing three staff positions (see Interval number for more details), and the major third (Play ⓘ) is a third spanning four half steps or two whole steps. [1]
This contrasts with equal temperament, in which intervals with the same frequency ratio can have different names (e.g., the diminished fifth and the augmented fourth); and with other forms of just intonation, in which intervals with the same name can have different frequency ratios (e.g., 9/8 for the major second from C to D, but 10/9 for the ...
"The Pythagorean system would appear to be ideal because of the purity of the fifths, but some consider other intervals, particularly the major third, to be so badly out of tune that major chords [may be considered] a dissonance." [2] The Pythagorean scale is any scale which can be constructed from only pure perfect fifths (3:2) and octaves (2: ...