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Scale 1643: "Locrian Natural 6"

Scale 1643: Locrian Natural 6, 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).

Common Names

Western Altered
Locrian Natural 6
Locrian Sharp 6
Arabic
Maqam Tarznauyn
Zeitler
Thyptian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,3,5,6,9,10}
Forte Number7-32
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2765
Hemitonia3 (trihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes6
Prime?no
prime: 859
Deep Scaleno
Interval Vector335442
Interval Spectrump4m4n5s3d3t2
Distribution Spectra<1> = {1,2,3}
<2> = {3,4}
<3> = {4,5,6}
<4> = {6,7,8}
<5> = {8,9}
<6> = {9,10,11}
Spectra Variation1.429
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
Coherenceno
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 1643 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 2869
Scale 2869: Ionian Augmented, Ian Ring Music TheoryIonian Augmented
3rd mode:
Scale 1741
Scale 1741: Lydian Diminished, Ian Ring Music TheoryLydian Diminished
4th mode:
Scale 1459
Scale 1459: Phrygian Dominant, Ian Ring Music TheoryPhrygian Dominant
5th mode:
Scale 2777
Scale 2777: Aeolian Harmonic, Ian Ring Music TheoryAeolian Harmonic
6th mode:
Scale 859
Scale 859: Ultralocrian, Ian Ring Music TheoryUltralocrianThis is the prime mode
7th mode:
Scale 2477
Scale 2477: Harmonic Minor, Ian Ring Music TheoryHarmonic Minor

Prime

The prime form of this scale is Scale 859

Scale 859Scale 859: Ultralocrian, Ian Ring Music TheoryUltralocrian

Complement

The heptatonic modal family [1643, 2869, 1741, 1459, 2777, 859, 2477] (Forte: 7-32) is the complement of the pentatonic modal family [595, 665, 805, 1225, 2345] (Forte: 5-32)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1643 is 2765

Scale 2765Scale 2765: Lydian Diminished, Ian Ring Music TheoryLydian Diminished

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1643 is chiral, and its enantiomorph is scale 2765

Scale 2765Scale 2765: Lydian Diminished, Ian Ring Music TheoryLydian Diminished

Transformations:

T0 1643  T0I 2765
T1 3286  T1I 1435
T2 2477  T2I 2870
T3 859  T3I 1645
T4 1718  T4I 3290
T5 3436  T5I 2485
T6 2777  T6I 875
T7 1459  T7I 1750
T8 2918  T8I 3500
T9 1741  T9I 2905
T10 3482  T10I 1715
T11 2869  T11I 3430

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 1641Scale 1641: Bocrimic, Ian Ring Music TheoryBocrimic
Scale 1645Scale 1645: Dorian Flat 5, Ian Ring Music TheoryDorian Flat 5
Scale 1647Scale 1647: Polyllic, Ian Ring Music TheoryPolyllic
Scale 1635Scale 1635: Sygimic, Ian Ring Music TheorySygimic
Scale 1639Scale 1639: Aeolothian, Ian Ring Music TheoryAeolothian
Scale 1651Scale 1651: Asian, Ian Ring Music TheoryAsian
Scale 1659Scale 1659: Maqam Shadd'araban, Ian Ring Music TheoryMaqam Shadd'araban
Scale 1611Scale 1611: Dacrimic, Ian Ring Music TheoryDacrimic
Scale 1627Scale 1627: Zyptian, Ian Ring Music TheoryZyptian
Scale 1579Scale 1579: Sagimic, Ian Ring Music TheorySagimic
Scale 1707Scale 1707: Dorian Flat 2, Ian Ring Music TheoryDorian Flat 2
Scale 1771Scale 1771, Ian Ring Music Theory
Scale 1899Scale 1899: Moptyllic, Ian Ring Music TheoryMoptyllic
Scale 1131Scale 1131: Honchoshi Plagal Form, Ian Ring Music TheoryHonchoshi Plagal Form
Scale 1387Scale 1387: Locrian, Ian Ring Music TheoryLocrian
Scale 619Scale 619: Double-Phrygian Hexatonic, Ian Ring Music TheoryDouble-Phrygian Hexatonic
Scale 2667Scale 2667: Byrian, Ian Ring Music TheoryByrian
Scale 3691Scale 3691: Badyllic, Ian Ring Music TheoryBadyllic

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