The Exciting Universe Of Music Theory

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Scale 103

Scale 103, 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{0,1,2,5,6}
Forte Number5-6
Rotational Symmetrynone
Reflection Axesnone
enantiomorph: 3265
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Deep Scaleno
Interval Vector311221
Interval Spectrump2m2nsd3t
Distribution Spectra<1> = {1,3,6}
<2> = {2,4,7}
<3> = {5,8,10}
<4> = {6,9,11}
Spectra Variation4
Maximally Evenno
Maximal Area Setno
Interior Area1.25
Myhill Propertyno
Ridge Tonesnone

Common Triads

There are no common triads (major, minor, augmented and diminished) that can be formed using notes in this scale.


Modes are the rotational transformation of this scale. Scale 103 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 2099
Scale 2099: Raga Megharanji, Ian Ring Music TheoryRaga Megharanji
3rd mode:
Scale 3097
Scale 3097, Ian Ring Music Theory
4th mode:
Scale 899
Scale 899, Ian Ring Music Theory
5th mode:
Scale 2497
Scale 2497, Ian Ring Music Theory


This is the prime form of this scale.


The pentatonic modal family [103, 2099, 3097, 899, 2497] (Forte: 5-6) is the complement of the heptatonic modal family [415, 995, 2255, 2545, 3175, 3635, 3865] (Forte: 7-6)


The inverse of a scale is a reflection using the root as its axis. The inverse of 103 is 3265

Scale 3265Scale 3265, Ian Ring Music Theory


Only scales that are chiral will have an enantiomorph. Scale 103 is chiral, and its enantiomorph is scale 3265

Scale 3265Scale 3265, Ian Ring Music Theory


T0 103  T0I 3265
T1 206  T1I 2435
T2 412  T2I 775
T3 824  T3I 1550
T4 1648  T4I 3100
T5 3296  T5I 2105
T6 2497  T6I 115
T7 899  T7I 230
T8 1798  T8I 460
T9 3596  T9I 920
T10 3097  T10I 1840
T11 2099  T11I 3680

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 101Scale 101, Ian Ring Music Theory
Scale 99Scale 99, Ian Ring Music Theory
Scale 107Scale 107, Ian Ring Music Theory
Scale 111Scale 111, Ian Ring Music Theory
Scale 119Scale 119, Ian Ring Music Theory
Scale 71Scale 71, Ian Ring Music Theory
Scale 87Scale 87, Ian Ring Music Theory
Scale 39Scale 39, Ian Ring Music Theory
Scale 167Scale 167, Ian Ring Music Theory
Scale 231Scale 231, Ian Ring Music Theory
Scale 359Scale 359: Bothimic, Ian Ring Music TheoryBothimic
Scale 615Scale 615: Phrothimic, Ian Ring Music TheoryPhrothimic
Scale 1127Scale 1127: Eparimic, Ian Ring Music TheoryEparimic
Scale 2151Scale 2151, 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 ( 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.