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Scale 2063

Scale 2063, 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

41161837294116105072918310504116183
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

Cardinality5 (pentatonic)
Pitch Class Set{0,1,2,3,11}
Forte Number5-1
Rotational Symmetrynone
Reflection Axes1
Palindromicno
Chiralityno
Hemitonia4 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections5
Modes4
Prime?no
prime: 31
Deep Scaleno
Interval Vector432100
Interval Spectrummn2s3d4
Distribution Spectra<1> = {1,8}
<2> = {2,9}
<3> = {3,10}
<4> = {4,11}
Spectra Variation5.6
Maximally Evenno
Myhill Propertyyes
Balancedno
Ridge Tones[2]
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2063 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 3079
Scale 3079, Ian Ring Music Theory
3rd mode:
Scale 3587
Scale 3587, Ian Ring Music Theory
4th mode:
Scale 3841
Scale 3841, Ian Ring Music Theory
5th mode:
Scale 31
Scale 31, Ian Ring Music TheoryThis is the prime mode

Prime

The prime form of this scale is Scale 31

Scale 31Scale 31, Ian Ring Music Theory

Complement

The pentatonic modal family [2063, 3079, 3587, 3841, 31] (Forte: 5-1) is the complement of the heptatonic modal family [127, 2111, 3103, 3599, 3847, 3971, 4033] (Forte: 7-1)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2063 is 3587

Scale 3587Scale 3587, Ian Ring Music Theory

Transformations:

T0 2063  T0I 3587
T1 31  T1I 3079
T2 62  T2I 2063
T3 124  T3I 31
T4 248  T4I 62
T5 496  T5I 124
T6 992  T6I 248
T7 1984  T7I 496
T8 3968  T8I 992
T9 3841  T9I 1984
T10 3587  T10I 3968
T11 3079  T11I 3841

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 2061Scale 2061, Ian Ring Music Theory
Scale 2059Scale 2059, Ian Ring Music Theory
Scale 2055Scale 2055, Ian Ring Music Theory
Scale 2071Scale 2071, Ian Ring Music Theory
Scale 2079Scale 2079, Ian Ring Music Theory
Scale 2095Scale 2095, Ian Ring Music Theory
Scale 2127Scale 2127, Ian Ring Music Theory
Scale 2191Scale 2191: Thydimic, Ian Ring Music TheoryThydimic
Scale 2319Scale 2319, Ian Ring Music Theory
Scale 2575Scale 2575, Ian Ring Music Theory
Scale 3087Scale 3087, Ian Ring Music Theory
Scale 15Scale 15, Ian Ring Music Theory
Scale 1039Scale 1039, 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, and MIDI playback by MIDI.js. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org). Peruse this Bibliography.