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Scale 3393

Scale 3393, 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

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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{0,6,8,10,11}
Forte Number5-9
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 87
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
Maximal Area Setno
Interior Area1.366
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3393 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 117
Scale 117, Ian Ring Music Theory
3rd mode:
Scale 1053
Scale 1053, Ian Ring Music Theory
4th mode:
Scale 1287
Scale 1287, Ian Ring Music Theory
5th mode:
Scale 2691
Scale 2691, 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 [3393, 117, 1053, 1287, 2691] (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 3393 is 87

Scale 87Scale 87, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3393 is chiral, and its enantiomorph is scale 87

Scale 87Scale 87, Ian Ring Music Theory

Transformations:

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

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 3395Scale 3395, Ian Ring Music Theory
Scale 3397Scale 3397: Sydimic, Ian Ring Music TheorySydimic
Scale 3401Scale 3401: Palimic, Ian Ring Music TheoryPalimic
Scale 3409Scale 3409: Katanimic, Ian Ring Music TheoryKatanimic
Scale 3425Scale 3425, Ian Ring Music Theory
Scale 3329Scale 3329, Ian Ring Music Theory
Scale 3361Scale 3361, Ian Ring Music Theory
Scale 3457Scale 3457, Ian Ring Music Theory
Scale 3521Scale 3521, Ian Ring Music Theory
Scale 3137Scale 3137, Ian Ring Music Theory
Scale 3265Scale 3265, Ian Ring Music Theory
Scale 3649Scale 3649, Ian Ring Music Theory
Scale 3905Scale 3905, Ian Ring Music Theory
Scale 2369Scale 2369, Ian Ring Music Theory
Scale 2881Scale 2881, Ian Ring Music Theory
Scale 1345Scale 1345, 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.