Volume 2: The Scales 465

Scale 465

CUSian

Analysis Modes
Cardinality 5 (pentatonic) Scale 465: CUSian
Pitch Class Set
Interval Structure
{0,4,6,7,8}
[4,2,1,1,4]
1.
Forte Number 5-13
Generator none Scale 285: BUMian
Rotational Symmetry
Reflection Axes
none
none
2.
Ridge Tones none
Palindromicity no Scale 1095: GOGian
Chirality yes
Hemitonia 2 (dihemitonic) 3.
Cohemitonia 1 (uncohemitonic)
Imperfections 4
Prime Form no
Scale 2595: PUYian
Deep Scale no 4.
Interval Vector <2,2,1,3,1,1>
Intervallic Analysis pm3ns2d2t
Distribution Spectra <1> = {1,2,4} Scale 3345: VAKian
<2> = {2,3,5,6,8}
<3> = {4,6,7,9,10}
5.
<4> = {8,10,11}
Spectra Variation 3.6
Saturation Vector <0.5,0.5,0.25,0.667,0.25,0 Tonnetz Diagram
.5>
Maximal Evenness no
Interior Area 1.799
Polygon Perimeter 5.499
Myhill Property no
Centrifuge Balance no
Propriety Improper
Coherence Quotient 0.2
Sameness Quotient 0.1
Heteromorphic Profile (13,7,36)
Hierarchizability (k = 2) 1
Hierarchizability (k = 4) 3
Maximal Area no

Hierarchization Diagrams

Ian Ring: An Exhausting Yet Necessarily Incomplete Study Of The Properties Of Musical Scales, Volume 2 © 2022
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