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Scale 2665: "Aeradimic"

Scale 2665: Aeradimic, 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

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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
Aeradimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,3,5,6,9,11}
Forte Number6-30
Rotational Symmetry6 semitones
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 715
Hemitonia2 (dihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections4
Modes2
Prime?no
prime: 715
Deep Scaleno
Interval Vector224223
Interval Spectrump2m2n4s2d2t3
Distribution Spectra<1> = {1,2,3}
<2> = {3,4,5}
<3> = {6}
<4> = {7,8,9}
<5> = {9,10,11}
Spectra Variation1.333
Maximally Evenno
Maximal Area Setno
Interior Area2.366
Myhill Propertyno
Balancedyes
Ridge Tonesnone
ProprietyProper
Heliotonicno

Common Triads

These are the common triads (major, minor, augmented and diminished) that you can create from members of this scale.

* Pitches are shown with C as the root

Triad TypeTriad*Pitch ClassesDegreeEccentricityCloseness Centrality
Major TriadsF{5,9,0}231.5
B{11,3,6}231.5
Diminished Triads{0,3,6}231.5
d♯°{3,6,9}231.5
f♯°{6,9,0}231.5
{9,0,3}231.5
Parsimonious Voice Leading Between Common Triads of Scale 2665. Created by Ian Ring ©2019 c°->a° B B c°->B d#° d#° f#° f#° d#°->f#° d#°->B F F F->f#° F->a°

Above is a graph showing opportunities for parsimonious voice leading between triads*. Each line connects two triads that have two common tones, while the third tone changes by one generic scale step.

Diameter3
Radius3
Self-Centeredyes

Modes

Modes are the rotational transformation of this scale. Scale 2665 can be rotated to make 2 other scales. The 1st mode is itself.

2nd mode:
Scale 845
Scale 845: Raga Neelangi, Ian Ring Music TheoryRaga Neelangi
3rd mode:
Scale 1235
Scale 1235: Messiaen Truncated Mode 2, Ian Ring Music TheoryMessiaen Truncated Mode 2

Prime

The prime form of this scale is Scale 715

Scale 715Scale 715: Messiaen Truncated Mode 2, Ian Ring Music TheoryMessiaen Truncated Mode 2

Complement

The hexatonic modal family [2665, 845, 1235] (Forte: 6-30) is the complement of the hexatonic modal family [715, 1625, 2405] (Forte: 6-30)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2665 is 715

Scale 715Scale 715: Messiaen Truncated Mode 2, Ian Ring Music TheoryMessiaen Truncated Mode 2

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2665 is chiral, and its enantiomorph is scale 715

Scale 715Scale 715: Messiaen Truncated Mode 2, Ian Ring Music TheoryMessiaen Truncated Mode 2

Transformations:

T0 2665  T0I 715
T1 1235  T1I 1430
T2 2470  T2I 2860
T3 845  T3I 1625
T4 1690  T4I 3250
T5 3380  T5I 2405
T6 2665  T6I 715
T7 1235  T7I 1430
T8 2470  T8I 2860
T9 845  T9I 1625
T10 1690  T10I 3250
T11 3380  T11I 2405

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 2667Scale 2667: Byrian, Ian Ring Music TheoryByrian
Scale 2669Scale 2669: Jeths' Mode, Ian Ring Music TheoryJeths' Mode
Scale 2657Scale 2657, Ian Ring Music Theory
Scale 2661Scale 2661: Stydimic, Ian Ring Music TheoryStydimic
Scale 2673Scale 2673: Mythimic, Ian Ring Music TheoryMythimic
Scale 2681Scale 2681: Aerycrian, Ian Ring Music TheoryAerycrian
Scale 2633Scale 2633: Bartók Beta Chord, Ian Ring Music TheoryBartók Beta Chord
Scale 2649Scale 2649: Aeolythimic, Ian Ring Music TheoryAeolythimic
Scale 2601Scale 2601: Raga Chandrakauns, Ian Ring Music TheoryRaga Chandrakauns
Scale 2729Scale 2729: Aeragimic, Ian Ring Music TheoryAeragimic
Scale 2793Scale 2793: Eporian, Ian Ring Music TheoryEporian
Scale 2921Scale 2921: Pogian, Ian Ring Music TheoryPogian
Scale 2153Scale 2153, Ian Ring Music Theory
Scale 2409Scale 2409: Zacrimic, Ian Ring Music TheoryZacrimic
Scale 3177Scale 3177: Rothimic, Ian Ring Music TheoryRothimic
Scale 3689Scale 3689: Katocrian, Ian Ring Music TheoryKatocrian
Scale 617Scale 617: Katycritonic, Ian Ring Music TheoryKatycritonic
Scale 1641Scale 1641: Bocrimic, Ian Ring Music TheoryBocrimic

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, graph visualization by Graphviz, and MIDI playback by MIDI.js. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org) used with permission. Tons of background resources contributed to the production of this summary; for a list of these peruse this Bibliography.