While the term " meantone temperament " refers primarily to the tempering of 5-limit musical intervals, optimum values for the 5-limit also work well for the 7-limit, defining septimal meantone temperament.
32.
In the opening pages of GMIT, Lewin suggests that a subspecies of " transformations " ( namely, musical intervals ) can be used to model " directed measurements, distances, or motions ".
33.
She served as visiting artist at the Eastman School of Music in Rochester, NY, collaborating with students on a five-part work that linked specific color combinations in her paint palette with musical intervals.
34.
A "'neutral third "'is a musical interval wider than a minor third but narrower than a major third, named by Jan Pieter Land in 1880; the name has been taken over by Alois H�ba.
35.
On the other hand, the octave series is a geometric progression ( 2�f, 4�f, 8�f, 16�f, . . . ), and people hear these distances as " the same " in the sense of musical interval.
36.
But ( traditional ) musical interval notation has a rather odd property : instead of counting the distance ( the number of spans of wire between n telegraph poles ), it counts the number of poles.
37.
In normal terminology, musical intervals are the distances between two Notes ( I capitalise just to remind us that this refers not to " sounded notes ", but to note representations, distinguishing C # from Db ).
38.
However, there is no need for scale steps to be equal within any scale and, particularly as demonstrated by microtonal music, there is no limit to how many notes can be injected within any given musical interval.
39.
The Auron is related to musical harmony, in that the golden ratio is among the most dissonant musical intervals, and is also included in discussions on sacred architecture and sacred geometry as well as information regarding dynamic symmetry and aesthetics.
40.
The frequencies of the harmonic series, being integer multiples of the fundamental frequency, are naturally related to each other by whole-numbered ratios and small whole-numbered ratios are likely the basis of the consonance of musical intervals ( see just intonation ).
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