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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
A mode indicated a primary pitch (a final), the organization of pitches in relation to the final, the suggested range, the melodic formulas associated with different modes, the location and importance of cadences, and the affect (i.e., emotional effect/character). Liane Curtis writes that "Modes should not be equated with scales: principles of ...
A melodic formula, ranging length from a short motif of a few notes to an entire melody, which is used as the basis for musical compositions. It differs from a mode, which simply sets forth a sequence of intervals (in Western music, half tones and whole tones), and from a scale (the notes of a mode in rising order of pitch), in that it is more specific: a melody type spells out actual ...
When one contrasts this with a dissonant interval such as a tritone (not tempered) with a frequency ratio of 7:5 one gets, for example, 700 − 500 = 200 (1st order combination tone) and 500 − 200 = 300 (2nd order). The rest of the combination tones are octaves of 100 Hz so the 7:5 interval actually contains four notes: 100 Hz (and its ...
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In Western music, scale notes are often separated by equally tempered tones or semitones, creating 12 intervals per octave. Each interval separates two tones; the higher tone has an oscillation frequency of a fixed ratio (by a factor equal to the twelfth root of two, or approximately 1.059463) higher than the frequency of the lower one. A scale ...
In the formulas, the ratios 3:2 or 2:3 represent an ascending or descending perfect fifth (i.e. an increase or decrease in frequency by a perfect fifth, while 2:1 or 1:2 represent a rising or lowering octave). The formulas can also be expressed in terms of powers of the third and the second harmonics.
In the following list, the interval sizes in cents are approximate. A Pythagorean comma is the difference between twelve justly tuned perfect fifths and seven octaves. It is expressed by the frequency ratio 531441:524288 (23.5 cents). A syntonic comma is the difference between four justly tuned perfect fifths and two octaves plus a major third ...