Volume 2: The Scales 1995

Scale 1995

Sideways Scale

Also known as: Dimygian, MECian

Analysis Modes
Cardinality 8 (octatonic) Scale 1995: Sideways Scale
Pitch Class Set
Interval Structure
{0,1,3,6,7,8,9,10}
[1,2,3,1,1,1,1,2]
1.
Forte Number 8-13
Generator none Scale 3045: TAQian
Rotational Symmetry
Reflection Axes
none
none
2.
Ridge Tones none
Palindromicity no Scale 1785: LADian
Chirality yes 3.
Hemitonia 5 (multihemitonic)
Cohemitonia 3 (tricohemitonic)
Imperfections 3 Scale 735: ECLian
Prime Form 735 4.
Deep Scale no
Interval Vector <5,5,6,4,5,3>
Distribution Spectra <1> = {1,2,3} Scale 2415: ONTian
<2> = {2,3,4,5} 5.
<3> = {3,4,5,6}
<4> = {4,5,6,7,8}
<5> = {6,7,8,9} Scale 3255: UTRian
<6> = {7,8,9,10} 6.
<7> = {9,10,11}
Spectra Variation 2.5
Saturation Vector <0.333,0.333,0.5,0,0.333,0 Scale 3675: XADian
.5> 7.
Maximal Evenness no
Interior Area 2.616
Polygon Perimeter 6.002
Scale 3885: YOGian
Myhill Property no 8.
Center of Gravity Distance 0.217
Propriety Improper
Coherence Quotient 0.594
Tonnetz Diagram
Sameness Quotient 0.23
Heteromorphic Profile (36,72,151)
Hierarchizability (k = 2) 1
Hierarchizability (k = 4) 2
Maximal Area no

Hierarchizability Diagrams Interval Matrix

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