The Exciting Universe Of Music Theory

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Scale 2105

Scale 2105, 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{0,3,4,5,11}
Forte Number5-6
Rotational Symmetrynone
Reflection Axesnone
enantiomorph: 899
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
prime: 103
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
Myhill Propertyno
Ridge Tonesnone


Modes are the rotational transformation of this scale. Scale 2105 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 775
Scale 775: Raga Putrika, Ian Ring Music TheoryRaga Putrika
3rd mode:
Scale 2435
Scale 2435: Raga Deshgaur, Ian Ring Music TheoryRaga Deshgaur
4th mode:
Scale 3265
Scale 3265, Ian Ring Music Theory
5th mode:
Scale 115
Scale 115, Ian Ring Music Theory


The prime form of this scale is Scale 103

Scale 103Scale 103, Ian Ring Music Theory


The pentatonic modal family [2105, 775, 2435, 3265, 115] (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 2105 is 899

Scale 899Scale 899, Ian Ring Music Theory


Only scales that are chiral will have an enantiomorph. Scale 2105 is chiral, and its enantiomorph is scale 899

Scale 899Scale 899, Ian Ring Music Theory


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

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 2107Scale 2107, Ian Ring Music Theory
Scale 2109Scale 2109, Ian Ring Music Theory
Scale 2097Scale 2097, Ian Ring Music Theory
Scale 2101Scale 2101, Ian Ring Music Theory
Scale 2089Scale 2089, Ian Ring Music Theory
Scale 2073Scale 2073, Ian Ring Music Theory
Scale 2137Scale 2137, Ian Ring Music Theory
Scale 2169Scale 2169, Ian Ring Music Theory
Scale 2233Scale 2233: Donimic, Ian Ring Music TheoryDonimic
Scale 2361Scale 2361: Docrimic, Ian Ring Music TheoryDocrimic
Scale 2617Scale 2617: Pylimic, Ian Ring Music TheoryPylimic
Scale 3129Scale 3129, Ian Ring Music Theory
Scale 57Scale 57, Ian Ring Music Theory
Scale 1081Scale 1081, 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.