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Scale 3119

Scale 3119, 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{0,1,2,3,5,10,11}
Forte Number7-2
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3719
Hemitonia5 (multihemitonic)
Cohemitonia4 (multicohemitonic)
Imperfections4
Modes6
Prime?no
prime: 191
Deep Scaleno
Interval Vector554331
Interval Spectrump3m3n4s5d5t
Distribution Spectra<1> = {1,2,5}
<2> = {2,3,6,7}
<3> = {3,4,7,8}
<4> = {4,5,8,9}
<5> = {5,6,9,10}
<6> = {7,10,11}
Spectra Variation4
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 3119 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 3607
Scale 3607, Ian Ring Music Theory
3rd mode:
Scale 3851
Scale 3851, Ian Ring Music Theory
4th mode:
Scale 3973
Scale 3973, Ian Ring Music Theory
5th mode:
Scale 2017
Scale 2017, Ian Ring Music Theory
6th mode:
Scale 191
Scale 191, Ian Ring Music TheoryThis is the prime mode
7th mode:
Scale 2143
Scale 2143, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 191

Scale 191Scale 191, Ian Ring Music Theory

Complement

The heptatonic modal family [3119, 3607, 3851, 3973, 2017, 191, 2143] (Forte: 7-2) is the complement of the pentatonic modal family [47, 1921, 2071, 3083, 3589] (Forte: 5-2)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3119 is 3719

Scale 3719Scale 3719, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3119 is chiral, and its enantiomorph is scale 3719

Scale 3719Scale 3719, Ian Ring Music Theory

Transformations:

T0 3119  T0I 3719
T1 2143  T1I 3343
T2 191  T2I 2591
T3 382  T3I 1087
T4 764  T4I 2174
T5 1528  T5I 253
T6 3056  T6I 506
T7 2017  T7I 1012
T8 4034  T8I 2024
T9 3973  T9I 4048
T10 3851  T10I 4001
T11 3607  T11I 3907

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 3117Scale 3117, Ian Ring Music Theory
Scale 3115Scale 3115, Ian Ring Music Theory
Scale 3111Scale 3111, Ian Ring Music Theory
Scale 3127Scale 3127, Ian Ring Music Theory
Scale 3135Scale 3135, Ian Ring Music Theory
Scale 3087Scale 3087, Ian Ring Music Theory
Scale 3103Scale 3103, Ian Ring Music Theory
Scale 3151Scale 3151: Pacrian, Ian Ring Music TheoryPacrian
Scale 3183Scale 3183: Mixonyllic, Ian Ring Music TheoryMixonyllic
Scale 3247Scale 3247: Aeolonyllic, Ian Ring Music TheoryAeolonyllic
Scale 3375Scale 3375, Ian Ring Music Theory
Scale 3631Scale 3631: Gydyllic, Ian Ring Music TheoryGydyllic
Scale 2095Scale 2095, Ian Ring Music Theory
Scale 2607Scale 2607: Aerolian, Ian Ring Music TheoryAerolian
Scale 1071Scale 1071, 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.