The Exciting Universe Of Music Theory

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Scale 2243

Scale 2243, 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

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).


Cardinality5 (pentatonic)
Pitch Class Set{0,1,6,7,11}
Forte Number5-7
Rotational Symmetrynone
Reflection Axesnone
enantiomorph: 2147
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
prime: 199
Deep Scaleno
Interval Vector310132
Interval Spectrump3msd3t2
Distribution Spectra<1> = {1,4,5}
<2> = {2,5,6}
<3> = {6,7,10}
<4> = {7,8,11}
Spectra Variation3.2
Maximally Evenno
Myhill Propertyno
Ridge Tonesnone


Modes are the rotational transformation of this scale. Scale 2243 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 3169
Scale 3169, Ian Ring Music Theory
3rd mode:
Scale 227
Scale 227, Ian Ring Music Theory
4th mode:
Scale 2161
Scale 2161, Ian Ring Music Theory
5th mode:
Scale 391
Scale 391, Ian Ring Music Theory


The prime form of this scale is Scale 199

Scale 199Scale 199: Raga Nabhomani, Ian Ring Music TheoryRaga Nabhomani


The pentatonic modal family [2243, 3169, 227, 2161, 391] (Forte: 5-7) is the complement of the heptatonic modal family [463, 967, 2279, 2531, 3187, 3313, 3641] (Forte: 7-7)


The inverse of a scale is a reflection using the root as its axis. The inverse of 2243 is 2147

Scale 2147Scale 2147, Ian Ring Music Theory


Only scales that are chiral will have an enantiomorph. Scale 2243 is chiral, and its enantiomorph is scale 2147

Scale 2147Scale 2147, Ian Ring Music Theory


T0 2243  T0I 2147
T1 391  T1I 199
T2 782  T2I 398
T3 1564  T3I 796
T4 3128  T4I 1592
T5 2161  T5I 3184
T6 227  T6I 2273
T7 454  T7I 451
T8 908  T8I 902
T9 1816  T9I 1804
T10 3632  T10I 3608
T11 3169  T11I 3121

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 2241Scale 2241, Ian Ring Music Theory
Scale 2245Scale 2245: Raga Vaijayanti, Ian Ring Music TheoryRaga Vaijayanti
Scale 2247Scale 2247: Raga Vijayasri, Ian Ring Music TheoryRaga Vijayasri
Scale 2251Scale 2251: Zodimic, Ian Ring Music TheoryZodimic
Scale 2259Scale 2259: Raga Mandari, Ian Ring Music TheoryRaga Mandari
Scale 2275Scale 2275: Messiaen Mode 5, Ian Ring Music TheoryMessiaen Mode 5
Scale 2179Scale 2179, Ian Ring Music Theory
Scale 2211Scale 2211: Raga Gauri, Ian Ring Music TheoryRaga Gauri
Scale 2115Scale 2115, Ian Ring Music Theory
Scale 2371Scale 2371, Ian Ring Music Theory
Scale 2499Scale 2499, Ian Ring Music Theory
Scale 2755Scale 2755, Ian Ring Music Theory
Scale 3267Scale 3267, Ian Ring Music Theory
Scale 195Scale 195: Messiaen Truncated Mode 5, Ian Ring Music TheoryMessiaen Truncated Mode 5
Scale 1219Scale 1219, 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 ( Peruse this Bibliography.