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Scale 3229: "Aeolaptian"

Scale 3229: Aeolaptian, 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
Aeolaptian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,2,3,4,7,10,11}
Forte Number7-Z17
Rotational Symmetrynone
Reflection Axes1
Palindromicno
Chiralityno
Hemitonia4 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections3
Modes6
Prime?no
prime: 631
Deep Scaleno
Interval Vector434541
Interval Spectrump4m5n4s3d4t
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,6}
<3> = {4,5,7}
<4> = {5,7,8}
<5> = {6,8,9,10}
<6> = {9,10,11}
Spectra Variation2.571
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tones[2]
ProprietyImproper
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 3229 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 1831
Scale 1831: Pothian, Ian Ring Music TheoryPothian
3rd mode:
Scale 2963
Scale 2963: Bygian, Ian Ring Music TheoryBygian
4th mode:
Scale 3529
Scale 3529: Stalian, Ian Ring Music TheoryStalian
5th mode:
Scale 953
Scale 953: Mela Yagapriya, Ian Ring Music TheoryMela Yagapriya
6th mode:
Scale 631
Scale 631: Zygian, Ian Ring Music TheoryZygianThis is the prime mode
7th mode:
Scale 2363
Scale 2363: Kataptian, Ian Ring Music TheoryKataptian

Prime

The prime form of this scale is Scale 631

Scale 631Scale 631: Zygian, Ian Ring Music TheoryZygian

Complement

The heptatonic modal family [3229, 1831, 2963, 3529, 953, 631, 2363] (Forte: 7-Z17) is the complement of the pentatonic modal family [283, 433, 1571, 2189, 2833] (Forte: 5-Z17)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3229 is 1831

Scale 1831Scale 1831: Pothian, Ian Ring Music TheoryPothian

Transformations:

T0 3229  T0I 1831
T1 2363  T1I 3662
T2 631  T2I 3229
T3 1262  T3I 2363
T4 2524  T4I 631
T5 953  T5I 1262
T6 1906  T6I 2524
T7 3812  T7I 953
T8 3529  T8I 1906
T9 2963  T9I 3812
T10 1831  T10I 3529
T11 3662  T11I 2963

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 3231Scale 3231: Kataptyllic, Ian Ring Music TheoryKataptyllic
Scale 3225Scale 3225: Ionalimic, Ian Ring Music TheoryIonalimic
Scale 3227Scale 3227: Aeolocrian, Ian Ring Music TheoryAeolocrian
Scale 3221Scale 3221: Bycrimic, Ian Ring Music TheoryBycrimic
Scale 3213Scale 3213: Eponimic, Ian Ring Music TheoryEponimic
Scale 3245Scale 3245: Mela Varunapriya, Ian Ring Music TheoryMela Varunapriya
Scale 3261Scale 3261: Dodyllic, Ian Ring Music TheoryDodyllic
Scale 3293Scale 3293: Saryllic, Ian Ring Music TheorySaryllic
Scale 3101Scale 3101, Ian Ring Music Theory
Scale 3165Scale 3165: Mylian, Ian Ring Music TheoryMylian
Scale 3357Scale 3357: Phrodian, Ian Ring Music TheoryPhrodian
Scale 3485Scale 3485: Sabach, Ian Ring Music TheorySabach
Scale 3741Scale 3741: Zydyllic, Ian Ring Music TheoryZydyllic
Scale 2205Scale 2205: Ionocrimic, Ian Ring Music TheoryIonocrimic
Scale 2717Scale 2717: Epygian, Ian Ring Music TheoryEpygian
Scale 1181Scale 1181: Katagimic, Ian Ring Music TheoryKatagimic

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.