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Journal Article
Journal of Music Theory (2001) 45 (1): 1–29.
Published: 01 April 2001
... is helped by my hearing a “middleground” interval
function as well in the passage, between {C,D≤,F,G≤} and {B,D,G,E}—
or rather a statistical ensemble of intervallic impressions between the
lower strings and the violin part as a whole, a statistical ensemble whose
normalized function is a good fit...
Journal Article
Journal of Music Theory (2007) 51 (2): 277–332.
Published: 01 October 2007
.... The dot product van-
ishes when the chords have no intervallic content in common, yielding a dis-
tance between the two chords that is equal to their average squared interval
function magnitudes.
Table 3 shows the pairwise Euclidean distances...
Journal Article
Journal of Music Theory (2004) 48 (1): 99–141.
Published: 01 April 2004
... states to musical transfor-
mations).
(14) int0100), (@1111)) = <1011>.
108
Sentences (1114) also illustrate that an interval function is not limited
to the familiar intervallic context of (710) but may be applied to any
kind of musical space.
III. Musical...
Journal Article
Journal of Music Theory (2003) 47 (1): 103–123.
Published: 01 April 2003
... Theory 34 : 1 -28. Lewin, David. 1959 . “Intervallic Relations Between Two Collections of Notes.” Journal of Music Theory 3/2 : 298 -301. ____. 1977 . “Forte's Interval Vector, My Interval Function, and Regener's Common-Note Function.” Journal of Music Theory 21/2 : 194 -237...
Journal Article
Journal of Music Theory (2018) 62 (1): 1–39.
Published: 01 April 2018
... .” Music Theory Online 21 . www.mtosmt.org/issues/mto.15.21.3/mto.15.21.3.kozak.html . Lewin David . 1977a . “ Forte’s Interval Vector, My Interval Function, and Regener’s Common-Note Function .” Journal of Music Theory 21 / 2 : 194 – 237 . Lewin David . 1977b . “ A Label-Free...
Journal Article
Journal of Music Theory (2016) 60 (2): 213–262.
Published: 01 October 2016
... of a Collection of Notes, Intervallic Relations between a Collection of Notes and Its Complement: An Application to Schoenberg's Hexachordal Pieces.” Journal of Music Theory 4 / 1 : 98 – 101 . ———. 2001 . “Special Cases of the Interval Function between Pitch-Class Sets X and Y.” Journal of Music...
Journal Article
Journal of Music Theory (2008) 52 (2): 219–249.
Published: 01 October 2008
....” Journal of Music Theory 35 : 93 -173. Lewin, David. 1959 . “Re: Intervallic Relations between Two Collections of Notes.” Journal of Music Theory 3 : 298 -301. ———. 2001 . “Special Cases of the Interval Function between Pitch-Class Sets X and Y.” Journal of Music Theory 45 : 1 -29...
Journal Article
Journal of Music Theory (2008) 52 (2): 251–272.
Published: 01 October 2008
...-Class Set Cartography: Relations between Voice-Leading Spaces and Fourier Spaces.” Journal of Music Theory 52 : 219 -49. Lewin, David. 1959 . “Re: Intervallic Relations between Two Collections of Notes.” Journal of Music Theory 3 : 298 -301. ———. 2001 . “Special Cases of the Interval...
Includes: Supplementary data
Journal Article
Journal of Music Theory (2005) 49 (1): 1–43.
Published: 01 April 2005
....
With these in mind, we can see how the network in Figure 5 conforms
to the notion that the collection of K-nets contained in the lower node
“transposes-by-T10” onto the collection of K-nets in the upper node.
Under this view, K-nets function as Einheits, whose corresponding group
of intervals is f...
Journal Article
Journal of Music Theory (2021) 65 (2): 325–374.
Published: 01 October 2021
... 1169 , no. 1 : 46 – 57 . Lewin David . 1959 . “ Re: Intervallic Relations between Two Collections of Notes .” Journal of Music Theory 3 , no. 2 : 298 – 301 . Lewin David . 2001 . “ Special Cases of the Interval Function between Pitch-Class Sets X and Y .” Journal of Music...
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Journal Article
Journal of Music Theory (2015) 59 (1): 121–181.
Published: 01 April 2015
... . 1959 . “ Re: Intervallic Relations between Two Collections of Notes .” Journal of Music Theory 3/2 : 298 – 301 . ———. 2001 . “ Special Cases of the Interval Function between Pitch-Class Sets X and Y .” Journal of Music Theory 45/1 : 1 – 29 . ———. 2007 . Generalized Musical Intervals...
Journal Article
Journal of Music Theory (2017) 61 (2): 201–242.
Published: 01 October 2017
... David . 1959 . “ Re: Intervallic Relations between Two Collections of Notes .” Journal of Music Theory 3 / 2 : 298 – 301 . Lewin David . 1977 . “ Forte’s Interval Vector, My Interval Function, and Regener’s Common-Note Function .” Journal of Music Theory 21 / 2 : 194 – 237...
Journal Article
Journal of Music Theory (2001) 45 (2): 263–343.
Published: 01 October 2001
... 34/1 : 1 -28. Kaplan, Richard A. 1990 . “Transpositionally Invariant Subsets: A New Set-subcomplex.” Integral 4 : 37 -65. Lewin, David. 1977 . “Forte's Interval Vector, my Interval Function, and Regener's Common-Note Function.” Journal of Music Theory 21/2 : 194 -237. ____. 1979...
Journal Article
Journal of Music Theory (2002) 46 (1-2): 207–283.
Published: 01 October 2002
...-established relevance of pitch proximity
towards auditory streaming (Bregman 1990).24
Condition 1 is the consonance-dissonance condition. It requires a dis-
tinction between functional consonances and dissonances, harmonies or
intervals that can support tones of greater structural weight and those...
Journal Article
Journal of Music Theory (2009) 53 (2): 227–254.
Published: 01 October 2009
... will be pointing to limitations of Lewin’s work, my
ultimate purpose is to suggest that his question—“how do we model directed
magnitudes in musical spacesmay be richer than even he realized.
I. Intervals as functions
One of the central ideas in GMIT...
Journal Article
Journal of Music Theory (2005) 49 (2): 333–357.
Published: 01 October 2005
.... As the beaming within mm. 5–20 suggests, the
interval-class-5 cyclic processes in the bass are largely consistent with
standard functional harmonic moves. This is particularly true between
mm. 13 and 20 (contained in the lowest system): the first interval-class-5
chain between mm. 13 and 17 moves...
Journal Article
Journal of Music Theory (2006) 50 (1): 111–127.
Published: 01 April 2006
... not lessen its
interpretive and methodological value.
122 Journal of Music Theory
A. Pitch intervals are merely one manifestation of “intervallic experi-
ence” in music. Intervals between pitches and intervals between
the other...
Journal Article
Journal of Music Theory (2002) 46 (1-2): 57–126.
Published: 01 October 2002
... with multiplica-
tion defined by
(t1, σ1)(t2, σ2) = (t1 + t2, σ1σ2).
Moreover, Γ (as a set of triads) forms a generalized interval system (GIS)
in which the group of intervals is the group Γ and the interval function is
the function int = intΓ defined above.
This theorem is not essential for most...
Journal Article
Journal of Music Theory (2002) 46 (1-2): 1–56.
Published: 01 October 2002
.... The maximal number of N – 4 order failures is 18 =
3(3+2+1).
No more than three steps may simultaneously function as origins of
failures of this order since each step appears as a summand in all but three
intervals of span N – 3. The maximum number of failures involving a sin-
gle step is three...
Journal Article
Journal of Music Theory (2014) 58 (2): 257–263.
Published: 01 October 2014
... Processing of Musical Data .” Music Theory Spectrum 8 : 44 – 57 . Hook Julian . 2007 . “ Cross-Type Transformations and the Path Consistency Condition .” Music Theory Spectrum 29 : 1 – 39 . Lewin David . 1987 . Generalized Musical Intervals and Transformations . New Haven, CT...
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