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Scale 3093

Scale 3093, 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.

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

Cardinality5 (pentatonic)
Pitch Class Set{0,2,4,10,11}
Forte Number5-9
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1287
Hemitonia2 (dihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections4
Modes4
Prime?no
prime: 87
Deep Scaleno
Interval Vector231211
Interval Spectrumpm2ns3d2t
Distribution Spectra<1> = {1,2,6}
<2> = {2,3,4,7,8}
<3> = {4,5,8,9,10}
<4> = {6,10,11}
Spectra Variation4.4
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3093 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 1797
Scale 1797, Ian Ring Music Theory
3rd mode:
Scale 1473
Scale 1473, Ian Ring Music Theory
4th mode:
Scale 87
Scale 87, Ian Ring Music TheoryThis is the prime mode
5th mode:
Scale 2091
Scale 2091, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 87

Scale 87Scale 87, Ian Ring Music Theory

Complement

The pentatonic modal family [3093, 1797, 1473, 87, 2091] (Forte: 5-9) is the complement of the heptatonic modal family [351, 1521, 1989, 2223, 3159, 3627, 3861] (Forte: 7-9)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3093 is 1287

Scale 1287Scale 1287, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3093 is chiral, and its enantiomorph is scale 1287

Scale 1287Scale 1287, Ian Ring Music Theory

Transformations:

T0 3093  T0I 1287
T1 2091  T1I 2574
T2 87  T2I 1053
T3 174  T3I 2106
T4 348  T4I 117
T5 696  T5I 234
T6 1392  T6I 468
T7 2784  T7I 936
T8 1473  T8I 1872
T9 2946  T9I 3744
T10 1797  T10I 3393
T11 3594  T11I 2691

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 3095Scale 3095, Ian Ring Music Theory
Scale 3089Scale 3089, Ian Ring Music Theory
Scale 3091Scale 3091, Ian Ring Music Theory
Scale 3097Scale 3097, Ian Ring Music Theory
Scale 3101Scale 3101, Ian Ring Music Theory
Scale 3077Scale 3077, Ian Ring Music Theory
Scale 3085Scale 3085, Ian Ring Music Theory
Scale 3109Scale 3109, Ian Ring Music Theory
Scale 3125Scale 3125, Ian Ring Music Theory
Scale 3157Scale 3157: Zyptimic, Ian Ring Music TheoryZyptimic
Scale 3221Scale 3221: Bycrimic, Ian Ring Music TheoryBycrimic
Scale 3349Scale 3349: Aeolocrimic, Ian Ring Music TheoryAeolocrimic
Scale 3605Scale 3605, Ian Ring Music Theory
Scale 2069Scale 2069, Ian Ring Music Theory
Scale 2581Scale 2581: Raga Neroshta, Ian Ring Music TheoryRaga Neroshta
Scale 1045Scale 1045, 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. Bibliography