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Scale 2103

Scale 2103, Ian Ring Music Theory

Bracelet Diagram

The bracelet shows tones that are in this scale, starting from the top (12 o'clock), going clockwise in ascending semitones. The "i" icon marks imperfect tones that do not have a tone a fifth above. Dotted lines indicate axes of symmetry.

Tonnetz Diagram

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Tonnetz diagrams are popular in Neo-Riemannian theory. Notes are arranged in a lattice where perfect 5th intervals are from left to right, major third are northeast, and major 6th intervals are northwest. Other directions are inverse of their opposite. This diagram helps to visualize common triads (they're triangles) and circle-of-fifth relationships (horizontal lines).

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,1,2,4,5,11}
Forte Number6-Z3
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3459
Hemitonia4 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections4
Modes5
Prime?no
prime: 111
Deep Scaleno
Interval Vector433221
Interval Spectrump2m2n3s3d4t
Distribution Spectra<1> = {1,2,6}
<2> = {2,3,7}
<3> = {3,4,8,9}
<4> = {5,9,10}
<5> = {6,10,11}
Spectra Variation4.333
Maximally Evenno
Maximal Area Setno
Interior Area1.433
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Common Triads

These are the common triads (major, minor, augmented and diminished) that you can create from members of this scale.

* Pitches are shown with C as the root

Triad TypeTriad*Pitch ClassesDegreeEccentricityCloseness Centrality
Diminished Triads{11,2,5}000

Since there is only one common triad in this scale, there are no opportunities for parsimonious voice leading between triads.

Modes

Modes are the rotational transformation of this scale. Scale 2103 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 3099
Scale 3099, Ian Ring Music Theory
3rd mode:
Scale 3597
Scale 3597, Ian Ring Music Theory
4th mode:
Scale 1923
Scale 1923, Ian Ring Music Theory
5th mode:
Scale 3009
Scale 3009, Ian Ring Music Theory
6th mode:
Scale 111
Scale 111, Ian Ring Music TheoryThis is the prime mode

Prime

The prime form of this scale is Scale 111

Scale 111Scale 111, Ian Ring Music Theory

Complement

The hexatonic modal family [2103, 3099, 3597, 1923, 3009, 111] (Forte: 6-Z3) is the complement of the hexatonic modal family [159, 993, 2127, 3111, 3603, 3849] (Forte: 6-Z36)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2103 is 3459

Scale 3459Scale 3459, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2103 is chiral, and its enantiomorph is scale 3459

Scale 3459Scale 3459, Ian Ring Music Theory

Transformations:

T0 2103  T0I 3459
T1 111  T1I 2823
T2 222  T2I 1551
T3 444  T3I 3102
T4 888  T4I 2109
T5 1776  T5I 123
T6 3552  T6I 246
T7 3009  T7I 492
T8 1923  T8I 984
T9 3846  T9I 1968
T10 3597  T10I 3936
T11 3099  T11I 3777

Nearby Scales:

These are other scales that are similar to this one, created by adding a tone, removing a tone, or moving one note up or down a semitone.

Scale 2101Scale 2101, Ian Ring Music Theory
Scale 2099Scale 2099: Raga Megharanji, Ian Ring Music TheoryRaga Megharanji
Scale 2107Scale 2107, Ian Ring Music Theory
Scale 2111Scale 2111, Ian Ring Music Theory
Scale 2087Scale 2087, Ian Ring Music Theory
Scale 2095Scale 2095, Ian Ring Music Theory
Scale 2071Scale 2071, Ian Ring Music Theory
Scale 2135Scale 2135, Ian Ring Music Theory
Scale 2167Scale 2167, Ian Ring Music Theory
Scale 2231Scale 2231: Macrian, Ian Ring Music TheoryMacrian
Scale 2359Scale 2359: Gadian, Ian Ring Music TheoryGadian
Scale 2615Scale 2615: Thoptian, Ian Ring Music TheoryThoptian
Scale 3127Scale 3127, Ian Ring Music Theory
Scale 55Scale 55, Ian Ring Music Theory
Scale 1079Scale 1079, Ian Ring Music Theory

This scale analysis was created by Ian Ring, Canadian Composer of works for Piano, and total music theory nerd. The software used to generate this analysis is an open source project at GitHub. Scale notation generated by VexFlow, graph visualization by Graphviz, and MIDI playback by MIDI.js. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org) used with permission.

Pitch spelling algorithm employed here is adapted from a method by Uzay Bora, Baris Tekin Tezel, and Alper Vahaplar. (An algorithm for spelling the pitches of any musical scale) Contact authors Patent owner: Dokuz Eylül University, Used with Permission. Contact TTO

Tons of background resources contributed to the production of this summary; for a list of these peruse this Bibliography. Special thanks to Richard Repp for helping with technical accuracy.