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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 ...
In Kirnberger I, the D – A fifth is reduced by a syntonic comma, making the major thirds F – A, C – E, G – B, and D – F ♯ pure, though the fifth based on D is a ratio of 40 / 27 instead of 3 / 2 (680.4 cents instead of 702.0 cents). His subsequent systems II and III, as well as many other tuning systems, have been ...
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
45 equal temperament, which has a step size of 26.67 cents, is a threefold subdivision of 15 equal temperament. It has a perfect fifth of 693.33 cents, which is quite flat, but is still more accurate than the 720-cent fifth of 15-ET. Its best major third is 373.33 cents, which is slightly more accurate than the 400-cent one.
The common tone theorem describes that scales possessing the deep scale property share a different number of common tones for every different transposition of the scale, suggesting an explanation for the use and usefulness of the diatonic collection. [1] In contrast, the whole tone scale's interval vector contains:
Move over, Wordle and Connections—there's a new NYT word game in town! The New York Times' recent game, "Strands," is becoming more and more popular as another daily activity fans can find on ...
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