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Scale 4067: "Aeolarygic"

Scale 4067: Aeolarygic, 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
Aeolarygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,1,5,6,7,8,9,10,11}
Forte Number9-1
Rotational Symmetrynone
Reflection Axes3
Palindromicno
Chiralityno
Hemitonia8 (multihemitonic)
Cohemitonia7 (multicohemitonic)
Imperfections3
Modes8
Prime?no
prime: 511
Deep Scaleno
Interval Vector876663
Interval Spectrump6m6n6s7d8t3
Distribution Spectra<1> = {1,4}
<2> = {2,5}
<3> = {3,6}
<4> = {4,7}
<5> = {5,8}
<6> = {6,9}
<7> = {7,10}
<8> = {8,11}
Spectra Variation2.667
Maximally Evenno
Maximal Area Setno
Interior Area2.433
Myhill Propertyyes
Balancedno
Ridge Tones[6]
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 4067 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 4081
Scale 4081: Manygic, Ian Ring Music TheoryManygic
3rd mode:
Scale 511
Scale 511: Polygic, Ian Ring Music TheoryPolygicThis is the prime mode
4th mode:
Scale 2303
Scale 2303: Stanygic, Ian Ring Music TheoryStanygic
5th mode:
Scale 3199
Scale 3199: Thaptygic, Ian Ring Music TheoryThaptygic
6th mode:
Scale 3647
Scale 3647: Eporygic, Ian Ring Music TheoryEporygic
7th mode:
Scale 3871
Scale 3871: Aerynygic, Ian Ring Music TheoryAerynygic
8th mode:
Scale 3983
Scale 3983: Thyptygic, Ian Ring Music TheoryThyptygic
9th mode:
Scale 4039
Scale 4039: Ionogygic, Ian Ring Music TheoryIonogygic

Prime

The prime form of this scale is Scale 511

Scale 511Scale 511: Polygic, Ian Ring Music TheoryPolygic

Complement

The nonatonic modal family [4067, 4081, 511, 2303, 3199, 3647, 3871, 3983, 4039] (Forte: 9-1) is the complement of the tritonic modal family [7, 2051, 3073] (Forte: 3-1)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 4067 is 2303

Scale 2303Scale 2303: Stanygic, Ian Ring Music TheoryStanygic

Transformations:

T0 4067  T0I 2303
T1 4039  T1I 511
T2 3983  T2I 1022
T3 3871  T3I 2044
T4 3647  T4I 4088
T5 3199  T5I 4081
T6 2303  T6I 4067
T7 511  T7I 4039
T8 1022  T8I 3983
T9 2044  T9I 3871
T10 4088  T10I 3647
T11 4081  T11I 3199

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 4065Scale 4065, Ian Ring Music Theory
Scale 4069Scale 4069: Starygic, Ian Ring Music TheoryStarygic
Scale 4071Scale 4071: Rygyllian, Ian Ring Music TheoryRygyllian
Scale 4075Scale 4075: Katyllian, Ian Ring Music TheoryKatyllian
Scale 4083Scale 4083: Bathyllian, Ian Ring Music TheoryBathyllian
Scale 4035Scale 4035, Ian Ring Music Theory
Scale 4051Scale 4051: Ionilygic, Ian Ring Music TheoryIonilygic
Scale 4003Scale 4003: Sadyllic, Ian Ring Music TheorySadyllic
Scale 3939Scale 3939: Dogyllic, Ian Ring Music TheoryDogyllic
Scale 3811Scale 3811: Epogyllic, Ian Ring Music TheoryEpogyllic
Scale 3555Scale 3555: Pylyllic, Ian Ring Music TheoryPylyllic
Scale 3043Scale 3043: Ionayllic, Ian Ring Music TheoryIonayllic
Scale 2019Scale 2019: Palyllic, Ian Ring Music TheoryPalyllic

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.