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Scale 1083

Scale 1083, 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

Cardinality6 (hexatonic)
Pitch Class Set{0,1,3,4,5,10}
Forte Number6-Z11
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2949
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes5
Prime?no
prime: 183
Deep Scaleno
Interval Vector333231
Interval Spectrump3m2n3s3d3t
Distribution Spectra<1> = {1,2,5}
<2> = {2,3,6,7}
<3> = {4,5,7,8}
<4> = {5,6,9,10}
<5> = {7,10,11}
Spectra Variation3.667
Maximally Evenno
Maximal Area Setno
Interior Area1.866
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
Minor Triadsa♯m{10,1,5}110.5
Diminished Triadsa♯°{10,1,4}110.5
Parsimonious Voice Leading Between Common Triads of Scale 1083. Created by Ian Ring ©2019 a#° a#° a#m a#m a#°->a#m

Above is a graph showing opportunities for parsimonious voice leading between triads*. Each line connects two triads that have two common tones, while the third tone changes by one generic scale step.

Diameter1
Radius1
Self-Centeredyes

Modes

Modes are the rotational transformation of this scale. Scale 1083 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 2589
Scale 2589, Ian Ring Music Theory
3rd mode:
Scale 1671
Scale 1671, Ian Ring Music Theory
4th mode:
Scale 2883
Scale 2883, Ian Ring Music Theory
5th mode:
Scale 3489
Scale 3489, Ian Ring Music Theory
6th mode:
Scale 237
Scale 237, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 183

Scale 183Scale 183, Ian Ring Music Theory

Complement

The hexatonic modal family [1083, 2589, 1671, 2883, 3489, 237] (Forte: 6-Z11) is the complement of the hexatonic modal family [303, 753, 1929, 2199, 3147, 3621] (Forte: 6-Z40)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1083 is 2949

Scale 2949Scale 2949, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1083 is chiral, and its enantiomorph is scale 2949

Scale 2949Scale 2949, Ian Ring Music Theory

Transformations:

T0 1083  T0I 2949
T1 2166  T1I 1803
T2 237  T2I 3606
T3 474  T3I 3117
T4 948  T4I 2139
T5 1896  T5I 183
T6 3792  T6I 366
T7 3489  T7I 732
T8 2883  T8I 1464
T9 1671  T9I 2928
T10 3342  T10I 1761
T11 2589  T11I 3522

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 1081Scale 1081, Ian Ring Music Theory
Scale 1085Scale 1085, Ian Ring Music Theory
Scale 1087Scale 1087, Ian Ring Music Theory
Scale 1075Scale 1075, Ian Ring Music Theory
Scale 1079Scale 1079, Ian Ring Music Theory
Scale 1067Scale 1067, Ian Ring Music Theory
Scale 1051Scale 1051, Ian Ring Music Theory
Scale 1115Scale 1115: Superlocrian Hexamirror, Ian Ring Music TheorySuperlocrian Hexamirror
Scale 1147Scale 1147: Epynian, Ian Ring Music TheoryEpynian
Scale 1211Scale 1211: Zadian, Ian Ring Music TheoryZadian
Scale 1339Scale 1339: Kycrian, Ian Ring Music TheoryKycrian
Scale 1595Scale 1595: Dacrian, Ian Ring Music TheoryDacrian
Scale 59Scale 59, Ian Ring Music Theory
Scale 571Scale 571: Kynimic, Ian Ring Music TheoryKynimic
Scale 2107Scale 2107, Ian Ring Music Theory
Scale 3131Scale 3131, 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. Tons of background resources contributed to the production of this summary; for a list of these peruse this Bibliography.