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Scale 3133

Scale 3133, 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

41161837294116105072918310504116183
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).

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,2,3,4,5,10,11}
Forte Number7-5
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1927
Hemitonia5 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections3
Modes6
Prime?no
prime: 239
Deep Scaleno
Interval Vector543342
Interval Spectrump4m3n3s4d5t2
Distribution Spectra<1> = {1,2,5}
<2> = {2,3,6}
<3> = {3,4,7}
<4> = {5,8,9}
<5> = {6,9,10}
<6> = {7,10,11}
Spectra Variation3.429
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 3133 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 1807
Scale 1807, Ian Ring Music Theory
3rd mode:
Scale 2951
Scale 2951, Ian Ring Music Theory
4th mode:
Scale 3523
Scale 3523, Ian Ring Music Theory
5th mode:
Scale 3809
Scale 3809, Ian Ring Music Theory
6th mode:
Scale 247
Scale 247, Ian Ring Music Theory
7th mode:
Scale 2171
Scale 2171, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 239

Scale 239Scale 239, Ian Ring Music Theory

Complement

The heptatonic modal family [3133, 1807, 2951, 3523, 3809, 247, 2171] (Forte: 7-5) is the complement of the pentatonic modal family [143, 481, 2119, 3107, 3601] (Forte: 5-5)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3133 is 1927

Scale 1927Scale 1927, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3133 is chiral, and its enantiomorph is scale 1927

Scale 1927Scale 1927, Ian Ring Music Theory

Transformations:

T0 3133  T0I 1927
T1 2171  T1I 3854
T2 247  T2I 3613
T3 494  T3I 3131
T4 988  T4I 2167
T5 1976  T5I 239
T6 3952  T6I 478
T7 3809  T7I 956
T8 3523  T8I 1912
T9 2951  T9I 3824
T10 1807  T10I 3553
T11 3614  T11I 3011

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 3135Scale 3135, Ian Ring Music Theory
Scale 3129Scale 3129, Ian Ring Music Theory
Scale 3131Scale 3131, Ian Ring Music Theory
Scale 3125Scale 3125, Ian Ring Music Theory
Scale 3117Scale 3117, Ian Ring Music Theory
Scale 3101Scale 3101, Ian Ring Music Theory
Scale 3165Scale 3165: Mylian, Ian Ring Music TheoryMylian
Scale 3197Scale 3197: Gylyllic, Ian Ring Music TheoryGylyllic
Scale 3261Scale 3261: Dodyllic, Ian Ring Music TheoryDodyllic
Scale 3389Scale 3389: Socryllic, Ian Ring Music TheorySocryllic
Scale 3645Scale 3645: Zycryllic, Ian Ring Music TheoryZycryllic
Scale 2109Scale 2109, Ian Ring Music Theory
Scale 2621Scale 2621: Ionogian, Ian Ring Music TheoryIonogian
Scale 1085Scale 1085, 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 (http://allthescales.org). Peruse this Bibliography.