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Scale 3189: "Aeolonian"

Scale 3189: Aeolonian, 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

Zeitler
Aeolonian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,2,4,5,6,10,11}
Forte Number7-15
Rotational Symmetrynone
Reflection Axes2
Palindromicno
Chiralityno
Hemitonia4 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections3
Modes6
Prime?no
prime: 471
Deep Scaleno
Interval Vector442443
Interval Spectrump4m4n2s4d4t3
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,4,5}
<3> = {4,5,6}
<4> = {6,7,8}
<5> = {7,8,9,10}
<6> = {8,10,11}
Spectra Variation2.286
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tones[4]
Coherenceno
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 3189 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 1821
Scale 1821: Aeradian, Ian Ring Music TheoryAeradian
3rd mode:
Scale 1479
Scale 1479: Mela Jalarnava, Ian Ring Music TheoryMela Jalarnava
4th mode:
Scale 2787
Scale 2787: Zyrian, Ian Ring Music TheoryZyrian
5th mode:
Scale 3441
Scale 3441: Thacrian, Ian Ring Music TheoryThacrian
6th mode:
Scale 471
Scale 471: Dodian, Ian Ring Music TheoryDodianThis is the prime mode
7th mode:
Scale 2283
Scale 2283: Aeolyptian, Ian Ring Music TheoryAeolyptian

Prime

The prime form of this scale is Scale 471

Scale 471Scale 471: Dodian, Ian Ring Music TheoryDodian

Complement

The heptatonic modal family [3189, 1821, 1479, 2787, 3441, 471, 2283] (Forte: 7-15) is the complement of the pentatonic modal family [327, 453, 1137, 2211, 3153] (Forte: 5-15)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3189 is 1479

Scale 1479Scale 1479: Mela Jalarnava, Ian Ring Music TheoryMela Jalarnava

Transformations:

T0 3189  T0I 1479
T1 2283  T1I 2958
T2 471  T2I 1821
T3 942  T3I 3642
T4 1884  T4I 3189
T5 3768  T5I 2283
T6 3441  T6I 471
T7 2787  T7I 942
T8 1479  T8I 1884
T9 2958  T9I 3768
T10 1821  T10I 3441
T11 3642  T11I 2787

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 3191Scale 3191: Bynyllic, Ian Ring Music TheoryBynyllic
Scale 3185Scale 3185: Messiaen Mode 5 Inverse, Ian Ring Music TheoryMessiaen Mode 5 Inverse
Scale 3187Scale 3187: Koptian, Ian Ring Music TheoryKoptian
Scale 3193Scale 3193: Zathian, Ian Ring Music TheoryZathian
Scale 3197Scale 3197: Gylyllic, Ian Ring Music TheoryGylyllic
Scale 3173Scale 3173: Zarimic, Ian Ring Music TheoryZarimic
Scale 3181Scale 3181: Rolian, Ian Ring Music TheoryRolian
Scale 3157Scale 3157: Zyptimic, Ian Ring Music TheoryZyptimic
Scale 3125Scale 3125, Ian Ring Music Theory
Scale 3253Scale 3253: Mela Naganandini, Ian Ring Music TheoryMela Naganandini
Scale 3317Scale 3317: Katynyllic, Ian Ring Music TheoryKatynyllic
Scale 3445Scale 3445: Messiaen Mode 6 Inverse, Ian Ring Music TheoryMessiaen Mode 6 Inverse
Scale 3701Scale 3701: Bagyllic, Ian Ring Music TheoryBagyllic
Scale 2165Scale 2165, Ian Ring Music Theory
Scale 2677Scale 2677: Thodian, Ian Ring Music TheoryThodian
Scale 1141Scale 1141: Rynimic, Ian Ring Music TheoryRynimic

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