The Exciting Universe Of Music Theory

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Scale 1953

Scale 1953, 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).


Cardinality6 (hexatonic)
Pitch Class Set{0,5,7,8,9,10}
Forte Number6-8
Rotational Symmetrynone
Reflection Axes2.5
Hemitonia3 (trihemitonic)
Cohemitonia2 (dicohemitonic)
prime: 189
Deep Scaleno
Interval Vector343230
Interval Spectrump3m2n3s4d3
Distribution Spectra<1> = {1,2,5}
<2> = {2,3,7}
<3> = {3,4,8,9}
<4> = {5,9,10}
<5> = {7,10,11}
Spectra Variation4
Maximally Evenno
Maximal Area Setno
Interior Area1.866
Myhill Propertyno
Ridge Tones[5]


Modes are the rotational transformation of this scale. Scale 1953 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 189
Scale 189, Ian Ring Music TheoryThis is the prime mode
3rd mode:
Scale 1071
Scale 1071, Ian Ring Music Theory
4th mode:
Scale 2583
Scale 2583, Ian Ring Music Theory
5th mode:
Scale 3339
Scale 3339, Ian Ring Music Theory
6th mode:
Scale 3717
Scale 3717, Ian Ring Music Theory


The prime form of this scale is Scale 189

Scale 189Scale 189, Ian Ring Music Theory


The hexatonic modal family [1953, 189, 1071, 2583, 3339, 3717] (Forte: 6-8) is the complement of the hexatonic modal family [189, 1071, 1953, 2583, 3339, 3717] (Forte: 6-8)


The inverse of a scale is a reflection using the root as its axis. The inverse of 1953 is 189

Scale 189Scale 189, Ian Ring Music Theory


T0 1953  T0I 189
T1 3906  T1I 378
T2 3717  T2I 756
T3 3339  T3I 1512
T4 2583  T4I 3024
T5 1071  T5I 1953
T6 2142  T6I 3906
T7 189  T7I 3717
T8 378  T8I 3339
T9 756  T9I 2583
T10 1512  T10I 1071
T11 3024  T11I 2142

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 1955Scale 1955: Sonian, Ian Ring Music TheorySonian
Scale 1957Scale 1957: Pyrian, Ian Ring Music TheoryPyrian
Scale 1961Scale 1961: Soptian, Ian Ring Music TheorySoptian
Scale 1969Scale 1969: Stylian, Ian Ring Music TheoryStylian
Scale 1921Scale 1921, Ian Ring Music Theory
Scale 1937Scale 1937: Galimic, Ian Ring Music TheoryGalimic
Scale 1985Scale 1985, Ian Ring Music Theory
Scale 2017Scale 2017, Ian Ring Music Theory
Scale 1825Scale 1825, Ian Ring Music Theory
Scale 1889Scale 1889, Ian Ring Music Theory
Scale 1697Scale 1697: Raga Kuntvarali, Ian Ring Music TheoryRaga Kuntvarali
Scale 1441Scale 1441, Ian Ring Music Theory
Scale 929Scale 929, Ian Ring Music Theory
Scale 2977Scale 2977, Ian Ring Music Theory
Scale 4001Scale 4001, 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.