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Scale 2153

Scale 2153, 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{0,3,5,6,11}
Forte Number5-19
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 707
Hemitonia2 (dihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes4
Prime?no
prime: 203
Deep Scaleno
Interval Vector212122
Interval Spectrump2mn2sd2t2
Distribution Spectra<1> = {1,2,3,5}
<2> = {3,4,5,6}
<3> = {6,7,8,9}
<4> = {7,9,10,11}
Spectra Variation2.8
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2153 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 781
Scale 781, Ian Ring Music Theory
3rd mode:
Scale 1219
Scale 1219, Ian Ring Music Theory
4th mode:
Scale 2657
Scale 2657, Ian Ring Music Theory
5th mode:
Scale 211
Scale 211, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 203

Scale 203Scale 203, Ian Ring Music Theory

Complement

The pentatonic modal family [2153, 781, 1219, 2657, 211] (Forte: 5-19) is the complement of the heptatonic modal family [719, 971, 1657, 2407, 2533, 3251, 3673] (Forte: 7-19)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2153 is 707

Scale 707Scale 707, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2153 is chiral, and its enantiomorph is scale 707

Scale 707Scale 707, Ian Ring Music Theory

Transformations:

T0 2153  T0I 707
T1 211  T1I 1414
T2 422  T2I 2828
T3 844  T3I 1561
T4 1688  T4I 3122
T5 3376  T5I 2149
T6 2657  T6I 203
T7 1219  T7I 406
T8 2438  T8I 812
T9 781  T9I 1624
T10 1562  T10I 3248
T11 3124  T11I 2401

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 2155Scale 2155, Ian Ring Music Theory
Scale 2157Scale 2157, Ian Ring Music Theory
Scale 2145Scale 2145: Messiaen Truncated Mode 5 Inverse, Ian Ring Music TheoryMessiaen Truncated Mode 5 Inverse
Scale 2149Scale 2149, Ian Ring Music Theory
Scale 2161Scale 2161, Ian Ring Music Theory
Scale 2169Scale 2169, Ian Ring Music Theory
Scale 2121Scale 2121, Ian Ring Music Theory
Scale 2137Scale 2137, Ian Ring Music Theory
Scale 2089Scale 2089, Ian Ring Music Theory
Scale 2217Scale 2217: Kagitonic, Ian Ring Music TheoryKagitonic
Scale 2281Scale 2281: Rathimic, Ian Ring Music TheoryRathimic
Scale 2409Scale 2409: Zacrimic, Ian Ring Music TheoryZacrimic
Scale 2665Scale 2665: Aeradimic, Ian Ring Music TheoryAeradimic
Scale 3177Scale 3177: Rothimic, Ian Ring Music TheoryRothimic
Scale 105Scale 105, Ian Ring Music Theory
Scale 1129Scale 1129: Raga Jayakauns, Ian Ring Music TheoryRaga Jayakauns

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.