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Scale 2671: "Aerolyllic"

Scale 2671: Aerolyllic, 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
Aerolyllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,1,2,3,5,6,9,11}
Forte Number8-12
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3787
Hemitonia5 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections4
Modes7
Prime?no
prime: 763
Deep Scaleno
Interval Vector556543
Interval Spectrump4m5n6s5d5t3
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {3,4,6}
<4> = {4,5,7,8}
<5> = {6,8,9}
<6> = {7,8,9,10}
<7> = {9,10,11}
Spectra Variation2.5
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2671 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 3383
Scale 3383: Zoptyllic, Ian Ring Music TheoryZoptyllic
3rd mode:
Scale 3739
Scale 3739: Epanyllic, Ian Ring Music TheoryEpanyllic
4th mode:
Scale 3917
Scale 3917: Katoptyllic, Ian Ring Music TheoryKatoptyllic
5th mode:
Scale 2003
Scale 2003: Podyllic, Ian Ring Music TheoryPodyllic
6th mode:
Scale 3049
Scale 3049: Phrydyllic, Ian Ring Music TheoryPhrydyllic
7th mode:
Scale 893
Scale 893: Dadyllic, Ian Ring Music TheoryDadyllic
8th mode:
Scale 1247
Scale 1247: Aeodyllic, Ian Ring Music TheoryAeodyllic

Prime

The prime form of this scale is Scale 763

Scale 763Scale 763: Doryllic, Ian Ring Music TheoryDoryllic

Complement

The octatonic modal family [2671, 3383, 3739, 3917, 2003, 3049, 893, 1247] (Forte: 8-12) is the complement of the tetratonic modal family [77, 833, 1043, 2569] (Forte: 4-12)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2671 is 3787

Scale 3787Scale 3787: Kagyllic, Ian Ring Music TheoryKagyllic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2671 is chiral, and its enantiomorph is scale 3787

Scale 3787Scale 3787: Kagyllic, Ian Ring Music TheoryKagyllic

Transformations:

T0 2671  T0I 3787
T1 1247  T1I 3479
T2 2494  T2I 2863
T3 893  T3I 1631
T4 1786  T4I 3262
T5 3572  T5I 2429
T6 3049  T6I 763
T7 2003  T7I 1526
T8 4006  T8I 3052
T9 3917  T9I 2009
T10 3739  T10I 4018
T11 3383  T11I 3941

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 2669Scale 2669: Jeths' Mode, Ian Ring Music TheoryJeths' Mode
Scale 2667Scale 2667: Byrian, Ian Ring Music TheoryByrian
Scale 2663Scale 2663: Lalian, Ian Ring Music TheoryLalian
Scale 2679Scale 2679: Rathyllic, Ian Ring Music TheoryRathyllic
Scale 2687Scale 2687: Thacrygic, Ian Ring Music TheoryThacrygic
Scale 2639Scale 2639: Dothian, Ian Ring Music TheoryDothian
Scale 2655Scale 2655, Ian Ring Music Theory
Scale 2607Scale 2607: Aerolian, Ian Ring Music TheoryAerolian
Scale 2735Scale 2735: Gynyllic, Ian Ring Music TheoryGynyllic
Scale 2799Scale 2799: Lyryllian, Ian Ring Music TheoryLyryllian
Scale 2927Scale 2927: Rodygic, Ian Ring Music TheoryRodygic
Scale 2159Scale 2159, Ian Ring Music Theory
Scale 2415Scale 2415: Lothyllic, Ian Ring Music TheoryLothyllic
Scale 3183Scale 3183: Mixonyllic, Ian Ring Music TheoryMixonyllic
Scale 3695Scale 3695: Kodygic, Ian Ring Music TheoryKodygic
Scale 623Scale 623: Sycrian, Ian Ring Music TheorySycrian
Scale 1647Scale 1647: Polyllic, Ian Ring Music TheoryPolyllic

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.