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Scale 2703: "Galian"

Scale 2703: Galian, 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).

Common Names

Zeitler
Galian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,2,3,7,9,11}
Forte Number7-9
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3627
Hemitonia4 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections4
Modes6
Prime?no
prime: 351
Deep Scaleno
Interval Vector453432
Interval Spectrump3m4n3s5d4t2
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,4,5,6}
<3> = {3,4,5,6,7,8}
<4> = {4,5,6,7,8,9}
<5> = {6,7,8,9,10}
<6> = {8,10,11}
Spectra Variation3.429
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 2703 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 3399
Scale 3399: Zonian, Ian Ring Music TheoryZonian
3rd mode:
Scale 3747
Scale 3747: Myrian, Ian Ring Music TheoryMyrian
4th mode:
Scale 3921
Scale 3921: Pythian, Ian Ring Music TheoryPythian
5th mode:
Scale 501
Scale 501: Katylian, Ian Ring Music TheoryKatylian
6th mode:
Scale 1149
Scale 1149: Bydian, Ian Ring Music TheoryBydian
7th mode:
Scale 1311
Scale 1311: Bynian, Ian Ring Music TheoryBynian

Prime

The prime form of this scale is Scale 351

Scale 351Scale 351: Epanian, Ian Ring Music TheoryEpanian

Complement

The heptatonic modal family [2703, 3399, 3747, 3921, 501, 1149, 1311] (Forte: 7-9) is the complement of the pentatonic modal family [87, 1473, 1797, 2091, 3093] (Forte: 5-9)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2703 is 3627

Scale 3627Scale 3627: Kalian, Ian Ring Music TheoryKalian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2703 is chiral, and its enantiomorph is scale 3627

Scale 3627Scale 3627: Kalian, Ian Ring Music TheoryKalian

Transformations:

T0 2703  T0I 3627
T1 1311  T1I 3159
T2 2622  T2I 2223
T3 1149  T3I 351
T4 2298  T4I 702
T5 501  T5I 1404
T6 1002  T6I 2808
T7 2004  T7I 1521
T8 4008  T8I 3042
T9 3921  T9I 1989
T10 3747  T10I 3978
T11 3399  T11I 3861

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 2701Scale 2701: Hawaiian, Ian Ring Music TheoryHawaiian
Scale 2699Scale 2699: Sythimic, Ian Ring Music TheorySythimic
Scale 2695Scale 2695, Ian Ring Music Theory
Scale 2711Scale 2711: Stolian, Ian Ring Music TheoryStolian
Scale 2719Scale 2719: Zocryllic, Ian Ring Music TheoryZocryllic
Scale 2735Scale 2735: Gynyllic, Ian Ring Music TheoryGynyllic
Scale 2767Scale 2767: Katydyllic, Ian Ring Music TheoryKatydyllic
Scale 2575Scale 2575, Ian Ring Music Theory
Scale 2639Scale 2639: Dothian, Ian Ring Music TheoryDothian
Scale 2831Scale 2831, Ian Ring Music Theory
Scale 2959Scale 2959: Dygyllic, Ian Ring Music TheoryDygyllic
Scale 2191Scale 2191: Thydimic, Ian Ring Music TheoryThydimic
Scale 2447Scale 2447: Thagian, Ian Ring Music TheoryThagian
Scale 3215Scale 3215: Katydian, Ian Ring Music TheoryKatydian
Scale 3727Scale 3727: Tholyllic, Ian Ring Music TheoryTholyllic
Scale 655Scale 655: Kataptimic, Ian Ring Music TheoryKataptimic
Scale 1679Scale 1679: Kydian, Ian Ring Music TheoryKydian

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.