Given the resonance of history, where the traditional consonances (ics 0, 3, 4, and perfect fifths
) are strongly established, it also would seem that any functional independence of perfect fourths and ic 2s would have to take into account traditional tonal practice, which lingers tellingly in cultural memory and is supported (at least to some extent) acoustically.
In the diatonic, g = 2, N = 7, and the multiplicative inverse mod 7 of 2 is 4, which is indeed the span of the unique diminished fifth, and of the generating perfect fifths
I think of my crusades as I go through each combination, listening to the music and striving for those perfect Fifths
Two intervals are used in portamento therapy: the perfect fifth
and octave (Figures 1c and 1d).
Number 6 is filled with perfect fifths
is the opposite--all piano at a very slow speed.
Chords are tuned carefully between players so unisons match and perfect fifths
A long piano prelude opens with the descending perfect fifths
of the violin's open strings.
The Tonnetz is a two-dimensional model of a musical piece showing the links between individual notes and chords: Perfect fifths
get linked diagonally, major thirds vertically; and minor thirds horizontally.
The Introitus introduces both the piano as a main protagonist and much of the harmonic material of the first group, which consists of the interplay between interlocking perfect fifths
(D/A being prominent throughout the work) and major/minor thirds.
The study explained that the bird also favored to sing perfect consonances (octaves, perfect fifths
, and perfect fourths) over imperfect consonances leading to some passages which may sound to human listeners as if they are structured around a tonal center.
These move to perfect fifths
through a descending motion in the upper voice, as in a suspension.