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Scale 2149

Scale 2149, 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{0,2,5,6,11}
Forte Number5-19
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1219
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 2149 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 1561
Scale 1561, Ian Ring Music Theory
3rd mode:
Scale 707
Scale 707, Ian Ring Music Theory
4th mode:
Scale 2401
Scale 2401, Ian Ring Music Theory
5th mode:
Scale 203
Scale 203, Ian Ring Music TheoryThis is the prime mode

Prime

The prime form of this scale is Scale 203

Scale 203Scale 203, Ian Ring Music Theory

Complement

The pentatonic modal family [2149, 1561, 707, 2401, 203] (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 2149 is 1219

Scale 1219Scale 1219, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2149 is chiral, and its enantiomorph is scale 1219

Scale 1219Scale 1219, Ian Ring Music Theory

Transformations:

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

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 2151Scale 2151, Ian Ring Music Theory
Scale 2145Scale 2145: Messiaen Truncated Mode 5 Inverse, Ian Ring Music TheoryMessiaen Truncated Mode 5 Inverse
Scale 2147Scale 2147, Ian Ring Music Theory
Scale 2153Scale 2153, Ian Ring Music Theory
Scale 2157Scale 2157, Ian Ring Music Theory
Scale 2165Scale 2165, Ian Ring Music Theory
Scale 2117Scale 2117: Raga Sumukam, Ian Ring Music TheoryRaga Sumukam
Scale 2133Scale 2133: Raga Kumurdaki, Ian Ring Music TheoryRaga Kumurdaki
Scale 2085Scale 2085, Ian Ring Music Theory
Scale 2213Scale 2213: Raga Desh, Ian Ring Music TheoryRaga Desh
Scale 2277Scale 2277: Kagimic, Ian Ring Music TheoryKagimic
Scale 2405Scale 2405: Katalimic, Ian Ring Music TheoryKatalimic
Scale 2661Scale 2661: Stydimic, Ian Ring Music TheoryStydimic
Scale 3173Scale 3173: Zarimic, Ian Ring Music TheoryZarimic
Scale 101Scale 101, Ian Ring Music Theory
Scale 1125Scale 1125: Ionaritonic, Ian Ring Music TheoryIonaritonic

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.