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Scale 2093

Scale 2093, 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{0,2,3,5,11}
Forte Number5-10
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1667
Hemitonia2 (dihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections4
Modes4
Prime?no
prime: 91
Deep Scaleno
Interval Vector223111
Interval Spectrumpmn3s2d2t
Distribution Spectra<1> = {1,2,6}
<2> = {3,7,8}
<3> = {4,5,9}
<4> = {6,10,11}
Spectra Variation4
Maximally Evenno
Maximal Area Setno
Interior Area1.366
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 2093 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 1547
Scale 1547, Ian Ring Music Theory
3rd mode:
Scale 2821
Scale 2821, Ian Ring Music Theory
4th mode:
Scale 1729
Scale 1729, Ian Ring Music Theory
5th mode:
Scale 91
Scale 91, Ian Ring Music TheoryThis is the prime mode

Prime

The prime form of this scale is Scale 91

Scale 91Scale 91, Ian Ring Music Theory

Complement

The pentatonic modal family [2093, 1547, 2821, 1729, 91] (Forte: 5-10) is the complement of the heptatonic modal family [607, 761, 1993, 2351, 3223, 3659, 3877] (Forte: 7-10)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2093 is 1667

Scale 1667Scale 1667, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2093 is chiral, and its enantiomorph is scale 1667

Scale 1667Scale 1667, Ian Ring Music Theory

Transformations:

T0 2093  T0I 1667
T1 91  T1I 3334
T2 182  T2I 2573
T3 364  T3I 1051
T4 728  T4I 2102
T5 1456  T5I 109
T6 2912  T6I 218
T7 1729  T7I 436
T8 3458  T8I 872
T9 2821  T9I 1744
T10 1547  T10I 3488
T11 3094  T11I 2881

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 2095Scale 2095, Ian Ring Music Theory
Scale 2089Scale 2089, Ian Ring Music Theory
Scale 2091Scale 2091, Ian Ring Music Theory
Scale 2085Scale 2085, Ian Ring Music Theory
Scale 2101Scale 2101, Ian Ring Music Theory
Scale 2109Scale 2109, Ian Ring Music Theory
Scale 2061Scale 2061, Ian Ring Music Theory
Scale 2077Scale 2077, Ian Ring Music Theory
Scale 2125Scale 2125, Ian Ring Music Theory
Scale 2157Scale 2157, Ian Ring Music Theory
Scale 2221Scale 2221: Raga Sindhura Kafi, Ian Ring Music TheoryRaga Sindhura Kafi
Scale 2349Scale 2349: Raga Ghantana, Ian Ring Music TheoryRaga Ghantana
Scale 2605Scale 2605: Rylimic, Ian Ring Music TheoryRylimic
Scale 3117Scale 3117, Ian Ring Music Theory
Scale 45Scale 45, Ian Ring Music Theory
Scale 1069Scale 1069, 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.