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For instance, the limit of the just perfect fourth (4:3) is 3, but the just minor tone (10:9) has a limit of 5, because 10 can be factored into 2 × 5 (and 9 into 3 × 3). There exists another type of limit, the odd limit , a concept used by Harry Partch (bigger of odd numbers obtained after dividing numerator and denominator by highest ...
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11th harmonic 33 550 play ⓘ 11:8 551.32 play ⓘ −1.32 (15:11) augmented fourth 32 533.33 play ⓘ 15:11 536.95 play ⓘ −3.62 perfect fourth: 30 500 play ⓘ 4:3 498.04 play ⓘ +1.96 septimal narrow fourth 28 466.66 play ⓘ 21:16 470.78 play ⓘ −4.11 17:13 narrow fourth 17:13 464.43 +2.24 tridecimal major third: 27 450 play ⓘ 13: ...
In music theory, limits or harmonic limits are a way of characterizing the harmony found in a piece or genre of music, or the harmonies that can be made using a particular scale. The term limit was introduced by Harry Partch , [ 1 ] who used it to give an upper bound on the complexity of harmony; hence the name.
The Quadrangularis Reversum, an instrument constructed by Harry Partch based on the 11-limit tonality diamond. In music theory and tuning, a tonality diamond is a two-dimensional diagram of ratios in which one dimension is the Otonality and one the Utonality. [1]
This is a list of limits for common functions such as elementary functions. In this article, the terms a , b and c are constants with respect to x . Limits for general functions
The Barratt Impulsiveness Scale (BIS) is a widely used measure of impulsiveness.It includes 30 items that are scored to yield six first-order factors (attention, motor, self-control, cognitive complexity, perseverance, and cognitive instability impulsiveness) and three second-order factors (attentional, motor, and non-planning impulsiveness).
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.