The Exciting Universe Of Music Theory

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Scale 3203

Scale 3203, 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{0,1,7,10,11}
Forte Number5-4
Rotational Symmetrynone
Reflection Axesnone
enantiomorph: 2087
Hemitonia3 (trihemitonic)
Cohemitonia2 (dicohemitonic)
prime: 79
Deep Scaleno
Interval Vector322111
Interval Spectrumpmn2s2d3t
Distribution Spectra<1> = {1,3,6}
<2> = {2,4,7,9}
<3> = {3,5,8,10}
<4> = {6,9,11}
Spectra Variation4.8
Maximally Evenno
Maximal Area Setno
Interior Area1.25
Myhill Propertyno
Ridge Tonesnone


Modes are the rotational transformation of this scale. Scale 3203 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 3649
Scale 3649, Ian Ring Music Theory
3rd mode:
Scale 121
Scale 121, Ian Ring Music Theory
4th mode:
Scale 527
Scale 527, Ian Ring Music Theory
5th mode:
Scale 2311
Scale 2311: Raga Kumarapriya, Ian Ring Music TheoryRaga Kumarapriya


The prime form of this scale is Scale 79

Scale 79Scale 79, Ian Ring Music Theory


The pentatonic modal family [3203, 3649, 121, 527, 2311] (Forte: 5-4) is the complement of the heptatonic modal family [223, 1987, 2159, 3041, 3127, 3611, 3853] (Forte: 7-4)


The inverse of a scale is a reflection using the root as its axis. The inverse of 3203 is 2087

Scale 2087Scale 2087, Ian Ring Music Theory


Only scales that are chiral will have an enantiomorph. Scale 3203 is chiral, and its enantiomorph is scale 2087

Scale 2087Scale 2087, Ian Ring Music Theory


T0 3203  T0I 2087
T1 2311  T1I 79
T2 527  T2I 158
T3 1054  T3I 316
T4 2108  T4I 632
T5 121  T5I 1264
T6 242  T6I 2528
T7 484  T7I 961
T8 968  T8I 1922
T9 1936  T9I 3844
T10 3872  T10I 3593
T11 3649  T11I 3091

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 3201Scale 3201, Ian Ring Music Theory
Scale 3205Scale 3205, Ian Ring Music Theory
Scale 3207Scale 3207, Ian Ring Music Theory
Scale 3211Scale 3211: Epacrimic, Ian Ring Music TheoryEpacrimic
Scale 3219Scale 3219: Ionaphimic, Ian Ring Music TheoryIonaphimic
Scale 3235Scale 3235: Pothimic, Ian Ring Music TheoryPothimic
Scale 3267Scale 3267, Ian Ring Music Theory
Scale 3075Scale 3075, Ian Ring Music Theory
Scale 3139Scale 3139, Ian Ring Music Theory
Scale 3331Scale 3331, Ian Ring Music Theory
Scale 3459Scale 3459, Ian Ring Music Theory
Scale 3715Scale 3715, Ian Ring Music Theory
Scale 2179Scale 2179, Ian Ring Music Theory
Scale 2691Scale 2691, Ian Ring Music Theory
Scale 1155Scale 1155, 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.